南京财经大学硕士学位论文基于可拓方法的股票投资分析姓名：周青奎申请学位级别：硕士专业：统计学指导教师：杨益民2009-01
햪 튪 퓚막욱쫐뎡짏ꎬ폐킩춶헟닙ퟷ뗃떱ꎬ듓뛸톸쯙놩뢻ꎻ쿠랴듳뛠쫽춶헟짭쿝웤훐ꎬ믲짮뛈쳗샎ꎬ믲뷰쯵쮮ꎬힴ첬늻뾰죫쒿ꆣ쯤좻떱잰횤좯럖컶샭싛틑쿠떱돉쫬ꎬ떫폶떽쪵볊쟩뿶쪱ꎬ죋쏇죔좻ꆰ떱뻖헟쏔ꆱꆣ횮쯹틔믡랢짺헢퇹뗄쟩뿶ꎬ쓇쫇틲캪죋쏇쎻폐짮뿌죏쪶떽막욱춶뗄솽룶맘볼컊쳢ꎺ톡쪱뫍톡막ꎬ룼늻폃쮵헽좷뗘톡퓱춶쪱믺뫍톡퓱헽좷뗄막욱쇋ꆣ톡쪱뫍톡막죔좻쫇떱잰맺쓚췢톧쫵뷧틔벰횤좯춶뷧뗄죈뗣뫍쓑뗣컊쳢ꆣ 놾컄뾪춷볲튪ퟛ쫶쇋횤좯춶럖컶랽램ꆢ뿉췘랽램틔벰뿉췘랽램퓚막욱춶쇬폲뗄펦폃ꎬ닻쫶쇋뿉췘톧뗄랢햹벰웤펦폃쇬폲ꎬ늢쟒뛔뿉췘톧뗄폐맘룅쓮뫍샭싛ퟶ쇋볲떥뷩짜ꎬ캪뷸탐막욱춶럖컶훐톡쪱폫톡막컊쳢뗄붨쒣뫍쪵횤럖컶붨솢샭싛믹뒡ꆣ 놾컄쫗쿈틽죫막쫐ힴ뿶뗄컯풪쒣탍벰럧쿕럖컶쒣탍ꎬ좻뫳폃쯼쏇살뛔컒맺뮦쫐뷱쓪9퓂뫍4퓂뗄막쫐ힴ뿶뷸탐쪵횤럖컶ꎬ에뛏헢솽룶퓂럝룷룶붻틗죕뗄럧쿕ힴ뿶ꎬ듓뛸에뛏쫊틋닉폃쪲쎴춶닟싔ꆣ뷡맻랢쿖9퓂럝뗄쫐뎡뮷뺳뇈4퓂럝튪뫃ꎬ9퓂럝룷룶붻틗죕막쫐컯풪맘솪뛈뚼듳폚1ꎬ막쫐뒦폚낲좫폲ꎬ듋쪱쫊틋훰늽붨닖믲돖닖솿퓚1/2틔짏ꎬ4퓂듳뛠쫽붻틗죕막쫐컯풪맘솪뛈뚼뒦폚0뫍1횮볤ꎬ막쫐뒦폚쿠뛔낲좫폲ꎬ듋쪱튲틋훰늽붨닖믲돖닖퓚1/2ퟳ폒ꆣ 뷓ퟅ놾컄뗄뫳냫늿럖ퟅ훘듓막볛뫍짏쫐릫쮾믹놾쏦솽룶뷇뛈폃뿉췘랽램쳖싛막욱춶훐뗄톡막컊쳢ꆣ톡좡에뛏막볛쫇럱퓚뿉춶랶캧뗄횸뇪늢붨솢헢킩횸뇪뗄맘솪몯쫽ꎬ춨맽폃9퓂19죕뫍4퓂24죕뗄늿럖퇹놾막욱볆쯣맘솪몯쫽ꎬ뷡맻뇭쏷9퓂19죕뻸듳뛠쫽막욱뗄ퟛ뫏맘솪뛈뚼쫇듳폚0ꎬ헢킩막욱뚼놻뗍맀ꎬ듓볛룱짏뾴뚼퓚뿉춶횮쇐ꎻ4퓂24죕뛠쫽막욱죔좻놻룟맀ꎬ벴쪹폐늿럖막욱놻뗍맀ꎬ웤뗍맀뗄돌뛈튲늻룟ꎬ쯤좻컄헂잰냫늿럖죏캪듓뫪맛짏뾴4퓂럝틑쫇춶뗄낲좫웚ꎬ떫뻟쳥떽룶막뛸퇔ꎬ죔좻튪짷훘ꆣ막볛쫇럱퓚뿉춶쟸폲늻쓜ퟷ캪춶닟싔훆뚨뗄캨튻틀뻝ꎬ죔좻튪뷡뫏뿉췘뚯첬움볛뗃돶뗄막욱춶폅뛈뷸탐ퟛ뫏에뛏ꆣ ퟮ뫳놾컄뛔좫컄뗄쯹폃랽램뫍퇐뺿맽돌뷸탐쇋ퟜ뷡ꎬ횸돶쇋놾컄뗄캴뺡횮뒦ꎬ늢뛔뫳탸퇐뺿뿉쓜뗄쮼슷쳡돶튻킩붨틩ꆣ 맘볼듊ꎺ막욱춶ꎻ뿉췘ꎻ컯풪ꎻ맘솪몯쫽ꎻ뚯첬움볛 I
ABSTRACT In the stock market, some investors handle the proper , thereby prompt parvenus; Great majority contrary investors get bogged down among it, with their fund deeply jailed or shrinking ,and their state is disgusting. Although the theoretical analysis of the current stock has reached a mature state, but comes across reality time ,” People still can't see the forest for the trees ,but onlookers see the whole game”. The reason why this would happen, it is because people do not understand the two key issues of stock investments: to choose time and to select stocks, not to mention to choose the right time and to select the right stocks. Choosing time and selecting share are still the hot and difficult issues in the current domestic and foreign portfolio investment community, as well as the academic one. This article begins with a brief overview of the securities investment analysis, extension methods, as well as the usage of extension methods in stock investment ,it elaborates the development and the application of extenics, and makes a brief introduction to the related concepts and theories of of above is to establish the theoretical foundation for modeling and empirical analysis of choosing time and selecting share problem in the stock investment Analysis. And then the main body of the article introduces matter-element model and risk analysis model for the situation of stock market,with which to empirically analyse the situation of our Shanghai stock market in the month of September and April. And to judge the rist situation of each trading day in the two month. And thereby to decide what investment strategy to take. The results showed that in September the market environment is better than in April, and stock market matter-element correlation degree of each trading day in September is more than 1, so the stock market in September is in the security domain, the appropriate strategy at this time is to establish stockroom step by step or keep the position of stockroom higher than 1/2. stock market most of trading day in April stock market matter-element correlation degree are Between 0 and 1,so the stock market is in a relatively safe domain, and we should also establish stockroom step by step or keep the position of stockroom at about 1/2. Then the latter part of this article focus on the selecting stock issue of stock investment analysis by stock price and fundamentals perspectives with Extenic methods. We selected right indexes to judge whether the stock price is in the range of II
investment targets and establish the corelation functions of these we calculate the correlation functions of the stock sample of part of stocks in Sept. 19 and April 24. the results showed that the comprehensive correlation degrees of the vast majority of the shares in Sept. 19 are greater than 0, and these stocks are undervalued, from the point of the price view,all of these shares are in the investment Apr. 24 most of the stock is still overvalued, even if some of the stock is undervalued, the underestimated extent is not the first part of the article pointed out that from a macro point of view April is safe period of the investment,we still must be cautious about the specific terms of stock. the stock price whether in the invest domain or not can not be taken as the only accordance. We still need to make a comprehensive judge combining of stock investment excellent-degree acquired from extenic dynamic evaluation . And final main body of the article sums up to the methods and the studies process of the full , places of not having come to an end have been pointed out,and chains of possible thought have been brought forward as a little suggestion at the ultimate part of the article. KEY WORDSꎺstocks investment;Extenics;matter-element;correlated function; dynamic evaluation III
톧캻싛컄뛀뒴탔짹쏷 놾싛컄쫇컒룶죋퓚떼쪦횸떼쿂뷸탐뗄퇐뺿릤ퟷ벰좡뗃뗄퇐뺿돉맻ꆣ싛컄훐돽쇋쳘뇰볓틔뇪힢뫍훂킻뗄뗘랽췢ꎬ늻냼몬웤쯻죋믲웤쯼믺릹틑뺭랢뇭믲킴맽뗄퇐뺿돉맻ꆣ웤쯻춬횾뛔놾퇐뺿뗄웴랢뫍쯹ퟶ뗄릱쿗뻹틑퓚싛컄훐ퟷ쇋쏷좷뗄짹쏷늢뇭쪾쇋킻틢ꆣ ퟷ헟잩쏻ꎺ 죕웚ꎺ 톧캻싛컄쪹폃쫚좨짹쏷 놾죋췪좫쇋뷢쓏뺩닆뺭듳톧폐맘놣쇴ꆢ쪹폃톧캻싛컄뗄맦뚨ꎬ벴ꎺ톧킣폐좨놣쇴쯍붻싛컄뗄뢴펡볾ꎬ퓊탭싛컄놻닩퓄뫍뷨퓄ꎻ톧킣뿉틔릫늼싛컄뗄좫늿믲늿럖쓚죝ꎬ뿉틔닉폃펰펡ꆢ쯵펡믲웤쯼뢴훆쫖뛎놣듦싛컄ꆣ놣쏜뗄싛컄퓚뷢쏜뫳ퟱ쫘듋맦뚨ꆣ ퟷ헟잩쏻ꎺ 떼쪦잩쏻ꎺ 죕웚ꎺ
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 뗚튻헂 떼퇔 톡쳢놳뺰벰틢틥 듓1990쓪뗗짏몣횤좯붻틗쯹돉솢뾪쪼ꎬ탂훐맺뗄막욱쫐뎡폐쇋뷼20쓪뗄샺쪷ꆣ듓떱돵짏쫐뗄막욱8볒떽죧뷱뗄1000뛠횧막욱ꎬ훐맺뗄막쫐뺭샺쇋엮늪랢햹뗄샺돌ꆣ붻틗쫐뎡ꆢ짏쫐릫쮾ꆢ춶헟쫇쿠냩뛸짺뗄ꎬ쯻쏇쿠뮥늩?ퟅꆣ쫐뎡캪짏쫐릫쮾쳡릩쇋ퟔ평뗄죚쟾뗀ꎬ춬쪱튲캪춶헟뒴퓬쇋닆뢻퓶횳뗄뎡쯹ꆣ 퓚막욱쫐뎡짏ꎬ폐킩춶헟닙ퟷ뗃떱ꎬ듓뛸톸쯙놩뢻ꎻ쿠랴듳뛠쫽춶헟짭쿝웤훐ꎬ믲짮뛈쳗샎ꎬ믲뷰쯵쮮ꎬힴ첬늻뾰죫쒿ꆣ쓇쎴막욱쫐뎡쫇튻룶퓵퇹뗄쏔리ꎬ죃훚뛠춶헟훃짭웤훐뛸뇦늻쟥랽쿲ꆢ헒늻떽돶슷쓘ꎿ뇊헟죏캪ꎬ퓚막욱춶맽돌훐ꎬ춶헟쮼뾼뗄늻췢뫵솽룶컊쳢ꎬ벴톡쪱뫍톡막ꆣ톡쪱쫇횸쿠믺싲싴ꎬ톡퓱싲죫막욱뗄ퟮ병쪱믺ꎻ톡막쫇횸싲죫늢돖폐막욱ꎬ훘퓚늻춬막욱뗄톡퓱ꎬ튲뻍쫇톡퓱쓜룸춶헟듸살럡뫱믘놨뗄막욱ꆣ쓇쎴ퟔ좻쿂튻룶컊쳢돶쿖쇋ꎬ죧뫎톡쪱쓘ꎿ폖죧뫎톡막쓘ꎿ 횤좯춶럖컶듓횤좯쫐뎡닺짺횮쪱뻍뾪쪼쇋ꆣ쯦ퟅ뺳췢횤좯쫐뎡뗄늻뛏뒴탂뫍랢햹ꎬ횤좯춶럖컶뗄뛔쿳늻뛏퇓짬ꎬ듓캢맛뗄웳튵ꆢ훐맛뗄닺튵떽뫪맛뗄맺쏱뺭볃ꎬ뷸뛸맺쓚쫐뎡떽맺볊쫐뎡ꎻ횤좯럖컶뗄랽램튲늻뛏췘햹ꎬ듓틔벼쫵뫍믹뒡럖컶캪훷뗄뒫춳럖컶랽램랢햹떽놾닺뚨볛쒣탍ꆢ놾닺쳗샻쒣탍뗈쿖듺럖컶랽램ꆣ 쯤좻맺볊짏횤좯럖컶샭싛틑쿠떱돉쫬ꎬ떫폶떽쪵볊쟩뿶쪱ꎬ죋쏇죔좻ꆰ떱뻖헟쏔ꆱꆣ톡쪱뫍톡막죔좻쫇떱잰맺쓚췢톧쫵뷧틔벰막욱춶뷧뗄죈뗣뫍쓑뗣컊쳢ꆣ틲듋퓋폃탂뗄랽램듓쪵볊퓋폃뗄뷇뛈좥퇐뺿막욱춶맽돌훐뗄톡쪱뫍톡막컊쳢죔좻뻟폐샭싛뫍쿖쪵틢틥ꆣ 맺쓚췢퇐뺿쫶움 횤좯춶럖컶랽램퇐뺿쫶움 쒿잰맺쓚췢뛔폚막욱춶뗄퇐뺿훷튪뿉럖캪쯄훖:믹놾쏦럖컶ꆢ벼쫵럖컶ꆢ닺ퟩ뫏벰뚨볛샭싛뫍튻킩샭싛랽램펦폃떽막욱춶럖컶훐탎돉뗄탂랽램ꆣ 믹놾쏦럖컶[1]냼삨ꎺ뫪맛뺭볃벰헾닟럖컶ꆢ탐튵럖컶ꆢ릫쮾럖컶뫍막욱쫐뎡럖컶ꆣ믹놾쏦럖컶뗄훷튪틀뻝쫇짏쫐릫쮾뗄막욱볛룱쫜떽짏쫐릫쮾뺭펪튵벨뗄펰쿬ꎬ듓뛸삩햹떽짏쫐릫쮾쯹퓚탐튵틔벰뫪맛뺭볃퓋탐뫍쿠맘헾닟뚼믡펰쿬떽짏쫐릫쮾뗄막볛ꎬ쯼쫇막욱볛룱폫뺭볃ힴ뿶쿠솪쾵뗄럖컶랽쪽ꆣ믹놾쏦럖컶훷튪쫇춨맽뛔펰쿬막쫐릩쟳맘쾵뗄믹놾틲쯘뚨탔뗘럖컶쪵쿖뛔막욱쫐뎡ퟟ쫆벰막볛뗄풤닢ꆣ놾컄퓚럖컶펰쿬막욱춶뗄틲쯘쪱믡펦폃떽믹놾쏦럖컶ꆣ 1
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 막욱벼쫵럖컶샭싛냼삨:늨샋샭싛ꆢK쿟샭싛ꆢ쟐쿟샭싛ꆢ탎첬샭싛뗈ꆣ벼 쫵럖컶쫇샻폃춳볆톧랽램ꎬ럖컶막욱볛룱뗄퓋뚯맦싉ꎬ룹뻝막욱뗄샺쪷볛룱쯹탎돉뗄룷훖볛룱쟺쿟ꎬ춨맽쟺쿟탎첬뗈뗄럖컶ꎬ쪵쿖뛔막욱캴살ퟟ쫆뗄튻훖풤닢ꆣ벼쫵럖컶쫇막욱볛룱춬웤볛룱퓋탐맬벣쿠솪쾵뗄럖컶랽쪽ꆣ벼쫵럖컶믹폚ꎺ쫐뎡탐캪랴펳튻쟐탅쾢ꎻ볛룱퇘쟷쫆퓋뚯ꎻ샺쪷믡훘퇝죽쿮믹놾볙짨[2]ꆣ 닺ퟩ뫏벰뚨볛샭싛쫇막욱춶폫막욱럧쿕쿠솪쾵뗄뚨솿럖컶랽쪽ꆣ훷튪폐ꎺ쿖듺닺ퟩ뫏샭싛뫍놾닺뚨볛쒣탍ꆣ 쿖듺닺ퟩ뫏샭싛뒴쪼죋쫇십뿉캬듄ꎬ뫳뺭쿄웕ꆢ췐뇶볓틔랢햹ꆣ웤믹놾풭샭쫇퓚쫕틦ퟮ듳뮯뫍럧쿕ퟮ킡뮯횮볤톰쟳튻룶욽뫢뗣ꎬ럖뇰폃웚췻쫕틦싊뫍쫕틦싊랽닮뫢솿닺ퟩ뫏뗄풤웚쫕틦뫍럧쿕ꎬ욾뷨뻹횵랽닮쒣탍좷뚨ퟩ뫏뗄릹돉ꎬ떫웤볆쯣솿듳ꆣ뫳살쿄웕랢햹붨솢쇋떥튻횸쫽쒣탍ꎬ볙짨닺쫕틦횻폫쫐뎡ퟩ뫏쫕틦폐맘ꎬ듳듳붵뗍쇋볆쯣솿ꆣ 놾닺뚨볛쒣탍쫇닺ퟩ뫏샭싛뗄랢햹ꎬ평쿄웕퓚1964쓪랢뇭뗄ꆶ놾닺볛룱ꎺ럧쿕쫐뎡쳵볾쿂뗄쫐뎡뻹뫢샭싛ꆷ훐쳡돶ꎬ룃쒣탍훷튪쏨쫶뻹뫢쫐뎡훐닺뗄웚췻쫕틦싊폫럧쿕뗄맘쾵ꎬ벴죧뫎룹뻝닺뗄럧쿕듳킡뷸탐뫏샭뚨볛[1] 뷼벸쓪살ꎬ튻킩톧헟늻뛏냑웤쯻쇬폲뗄샭싛펦폃떽막욱춶럖컶훐ꎬ죧:튻킩톧헟Bayesꆢ룅싊럖컶뗈춳볆랽램펦폃떽막욱춶뗄퇐뺿훐ꎬ춨맽붨솢춳볆쒣탍ꎬ쪵쿖뛔막욱볛룱ퟟ쫆뗄럖컶ꆣ틅뒫톧ꆢ짱뺭췸싧뗈샭싛튲폐펦폃떽막욱춶럖컶쇬폲ꎬ쳡돶쇋퓋폃짱뺭췸싧ퟶ춶풤닢뗄쮼쿫뫍랽램ꎬ늢샻폃볆쯣믺뇠돌뫍볆쯣뷸탐쪵볹볬퇩[3]ꆣ뮹폐톧헟냑움볛릫쮾킧틦뗄횸뇪EVAꎬ벴뺭볃퓶볓횵((Economic Value Added)펦폃떽막욱춶볛횵럖컶훐ꎬ춨맽쪵횤뷡맻횤쏷훐맺막욱쫐뎡짏뺭볃퓶볓횵랴펳막욱볛룱뇤뮯뗄폐킧탔뗈[4]ꆣ 뿉췘톧랽램퇐뺿쫶움 1983쓪컒맺톧헟맣뚫릤튵듳톧닌컄퇐뺿풱랢뇭쇋ꆰ뿉췘벯뫏뫍늻쿠죝컊쳢ꆱ[5]ꎬ뷓ퟅ폖퓚1994쓪돶냦쇋쯻뗄훸ퟷꆶ컯풪쒣탍벰웤펦폃ꆷꎬ뇪횾ퟅ컒맺뗄튻쏅풭뒴탔뿆톧ꆪꆪ뿉췘톧뗄떮짺[6]ꆣ퓚듋믹뒡짏ꎬ뺭맽맺쓚톧헟뗄뎤웚퇐뺿ꎬ닺짺쇋뿉췘톧ꎬ웤샭싛훰늽탎돉ꎬ펦폃쇬폲튲퓚늻뛏삩듳[7-20]ꆣ뿉췘톧첽쳖뒦샭쎬뛜컊쳢뗄맦싉폫랽램ꎬ뛔뒦샭ꆢ뷢뻶쎬뛜컊쳢뗄랽램뷸탐쾵춳뗄럖컶폫맩쓉ꆣ뺭맽뛾쪮벸쓪뗄랢햹ꎬ뿉췘샭싛틑뺭폫맜샭뿆톧ꆢ뿘훆싛뫍탅쾢싛쿠뷡뫏ꎬ쪹뿉췘랽램펦폃폚뺭볃ꆢ맜샭ꆢ뻶닟뫍맽돌뿘훆훐ꎬ뷸죫죋릤훇쓜틔벰폫죋릤훇쓜쿠맘뗄톧뿆횮훐ꆣ퓚뛔늻좷뚨뻶닟컊쳢뗄움볛랽쏦ꎬ뿉췘톧퓚헢랽쏦뗄펦폃튲췆맣훁폅뛈움볛[21]뫍샻폃뺭뗤폲뫍뷚폲살움볛듽움볛컊쳢쫴폚쒳뗈벶벯뫏뗄돌뛈 2
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 ꎨ죧[8ꎬ22-24]뗈ꎩꆣ 뿉췘톧퓚막욱춶럖컶훐뗄펦폃쫶움 뿉췘톧평폚쫇컒맺톧헟뗄풭뒴톧뿆ꎬ웤퓚맺볊짏뗄펰쿬솦뮹늻쫇뫜듳ꎬ퓚막욱춶럖컶랽쏦뗄퇐뺿튲훷튪쫇맺쓚뗄톧헟퓚뷸탐ꆣퟮ퓧붫뿉췘톧폃폚막쫐럖컶뗄쫇퇮틦쏱뷌쫚ꎨ퇮틦쏱ꎬ1996ꎩꎬ웤퓚1996쓪랢뇭퓚ꆶ풤닢ꆷ퓓횾짏뗄컄헂ꆶ막쫐럧쿕럖컶폫풤닢쒣탍ꆷ[19]훐ꎬ붫컯풪럖컶뫍춳볆톧샭싛쿠뷡뫏ꎬ쏨쫶쇋막쫐ힴ뿶ꎬ붨솢쇋막쫐럧쿕럖컶폫풤닢쒣탍ꆣ샮횾쇖ꎨ샮횾쇖ꎬ1998ꎩ붨솢쇋튻킩벼쫵횸뇪뗄맘솪몯쫽ꎬ늢쳡돶쇋튻쳗샻폃맘솪몯쫽퓚헽뢺폲쓚뗄뇤뮯뛔막쫐캴살늨뚯쟷쫆뷸탐풤닢뗄랽램[25]ꆣ틔짏솽욪컄헂뚼쫇붨솢퓚막볛횸쫽뗄믹뒡짏살뗄ꎬ쫇뛔막쫐ퟜ쳥쟷쫆뗄럖컶ꆣ키훇뗈ꎨ키훇뗈ꎬ2002ꎩ폃폅뛈움볛랽램뛔웳튵뺺헹솦뷸탐움볛[26]ꆣ엋뺴폮뗈ꎨ엋뺴폮뗈ꎬ2003ꎩ퓚럖컶쇋펰쿬횤좯쫐뎡뗄룷훖틲쯘뗄쿠뮥맘쾵횮뫳ꎬ룹뻝횤좯쫐뎡뇤뮯뗄쳘뗣ꎬ헫뛔횤좯럖컶컊쳢뗄뢴퓓탔ꎬ퓋폃뿉췘톧뗄샭싛ꎬ첽쳖쇋뛔횤좯럖컶맽돌훐뗄뿉췘랽램틔벰헢킩뿉췘랽램뗄쪹폃닟싔[27]ꆣ퓚럧쿕뿘훆뫍풤뺯랽쏦ꎬ럫뷺ꆢ웫췾ꎨ럫뷺ꆢ웫췾ꎬ2006ꎩ춨맽퓋폃뿉췘닟뮮뗄믹놾랽램ꎬ붨솢쇋횤좯쫐뎡럧쿕뮯뿘훆쒣탍ꎬ쳡돶쇋평놻뚯뗄럧쿕닩뒦쿲훷뚯뗄럧쿕볠맜뗄럧쿕뿘훆랽램ꎬퟮ훕듯떽샭탔춶뫍쪵쿖ퟔ컒럧쿕뿘훆뗄쒿뇪[28]ꎻ췵ퟔ잿ꆢ랶닽ꆢ돂탱ꎨ췵ퟔ잿ꆢ랶닽ꆢ돂탱ꎬ2006ꎩ퓋폃뿉췘폅뛈움볛램뛔뮦짮솽쫐훐ST릫쮾뗄닆컱ힴ뿶릹붨컯풪풤뺯쒣탍뷸탐쪵횤럖컶ꎬ늢쟒퓋폃믒즫맘솪뛈움볛램뷸탐쪵횤볬퇩ꎻ럫뷺ꆢ췵뮢ꎨ럫뷺ꎬ2007ꎩ폃뿉췘폅뛈움볛랽램ꎬ춨맽짏쫐릫쮾닆컱쫽뻝뗄볬퇩ꎬ붨솢쇋폐킧뗄짏쫐릫쮾럧쿕풤뺯쒣탍ꎬ쓜뇈뷏ힼ좷에뛏짏쫐릫쮾럧쿕돌뛈[29]ꆣ ퟛ짏쯹쫶ꎬ쯤좻잰죋퓚막욱춶럖컶폐듳솿뗄퇐뺿ꎬ폃뿉췘랽램뷸탐막욱춶럖컶튲폐튻킩돉맻ꎬ떫쫇폃뿉췘랽램뛔막욱춶맽돌훐뗄톡쪱뫍톡막컊쳢뷸탐쪵횤퇐뺿ꎬ잰죋뮹쎻폐짦벰ꎬ헢헽쫇놾컄뒴탂뗄뗘랽ꆣ 싛컄뷡릹벰훷튪릤ퟷ 싛컄뷡릹 컄헂ퟜ쳥럖캪쇹룶늿럖ꆣ떼싛늿럖닻쏷쇋놾컄뗄톡쳢놳뺰뫍퇐뺿틢틥ꎬ늢볲튪ퟛ쫶쇋ퟛ뫏움볛랽램ꆢ뿉췘움볛랽램틔벰막욱춶럖컶랽램뗄퇐뺿쿖ힴꎬ럖컶웤퓚쪵볊펦폃훐뗄폅쫆뫍늻ퟣ횮뒦ꆣ 뗚뛾늿럖볲떥룅쫶쇋놾컄훐막욱춶럖컶뗄샭싛믹뒡ꎺ뿉췘믹풪샭싛ꆢ뿉췘벯뫏샭싛틔벰뿉췘움볛샭싛ꎬ캪쿂컄ퟶ막욱춶럖컶ퟶ워뗦ꆣ 뗚죽ꆢ쯄ꆢ컥늿럖쫇놾컄뗄뫋탄늿럖ꎬퟅ훘퇐뺿막욱춶맽돌훐뗄톡쪱뫍톡 3
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 막컊쳢ꆣ 뗚죽늿럖퇐뺿톡쪱컊쳢ꎬ쫗쿈틽죫컄쿗[19]훐막쫐ힴ뿶뗄컯풪쒣탍벰럧쿕럖컶쒣탍ꎬ좻뫳폃쯼쏇살뛔컒맺뮦쫐9퓂뫍4퓂뗄막쫐ힴ뿶뷸탐쪵횤럖컶ꎬ에뛏헢솽룶퓂럝룷룶붻틗죕뗄럧쿕ힴ뿶ꎬ듓뛸에뛏쫊틋닉폃쪲쎴춶닟싔ꆣ 뗚쯄늿럖퇐뺿톡막맽돌훐뗄막볛에뛏컊쳢ꎬ튲뻍쫇막욱퓚쒳튻볛캻쪱쫇럱뿉틔춶ꆣ쫗쿈톡좡에뛏막볛쫇럱퓚뿉춶랶캧뗄횸뇪ꎬ뷓ퟅ붨솢헢킩횸뇪뗄맘솪몯쫽ꎬ춨맽볆쯣맘솪몯쫽횵쯹퓚뗄쟸폲듓뛸에뛏쒳횻막욱쫇럱뿉틔춶ꆣ 뗚컥늿럖퇐뺿톡막맽돌훐뗄춶폅뛈움볛컊쳢ꎬ튻횻막욱듓볛룱짏뾴뿉틔춶ꎬ떫늢늻횪뗀쯼뗄볛룱쫇럱폐짏헇잱솦ꆣ룃늿럖쫗쿈퓋폃뿉췘뚯첬움볛랽램릹붨막욱춶폅뛈움볛쒣탍ꎬ좻뫳톡퓱뮦짮솽쫐늿럖막욱뷸탐춶폅뛈닢쯣ꆣ 뗚쇹늿럖쫇뷡싛폫햹췻늿럖ꆣ뛔놾컄쯹ퟶ뗄릤ퟷ뷸탐ퟜ뷡ꎬ늢듓샭싛뫍펦폃솽룶닣쏦뛔뷸튻늽뗄퇐뺿뷸탐햹췻ꆣ 놾컄훷튪릤ퟷ 놾컄퓚잰죋퇐뺿뗄믹뒡짏ꎬ뷡뫏횤좯춶샭싛ꎬ퓋폃뿉췘톧뗄랽램첽쳖퓚막욱춶맽돌훐뗄솽룶맘볼컊쳢ꎺ톡쪱뫍톡막컊쳢ꆣ 퓚톡쪱컊쳢짏ꎬ쫗쿈붨솢막쫐뚯첬컯풪벰웤맘솪몯쫽ꎬ뷸뛸붨솢막쫐ힴ뿶뗄컯풪쒣탍뫍막쫐럧쿕럖컶쒣탍ꎬ폃쯼쏇살럖컶쒳룶붻틗죕뒦폚낲좫폲ꆢ쿠뛔낲좫폲ꆢ뿉췘폲뮹쫇럧쿕폲ꆣ퓚낲좫폲싲죫막욱ꎬ벸뫵컞럧쿕ꎬ쟒믱샻뿉맛ꎻ퓚쿠뛔낲좫폲뿉훰늽붨닖ꎬ퓚뿉췘폲틋맛췻ꎬ퓚럧쿕폲싴돶막욱ꎬ믘뇜럧쿕ꆣ좻뫳폃짏쫶쒣탍살뛔컒맺뮦쫐뷱쓪9퓂뫍4퓂뗄막쫐ힴ뿶뷸탐쪵횤럖컶ꎬ에뛏헢솽룶퓂럝룷룶붻틗죕뗄럧쿕ힴ뿶ꎬ듓뛸에뛏쫊틋닉폃쪲쎴춶닟싔ꆣ 퓚톡막컊쳢짏ꎬ쫗쿈폃뿉췘벯뗄맘솪몯쫽에뛏막욱뗄막볛쫇럱퓚뿉춶뗄랶캧ꆣ떱맘솪몯쫽뒦폚헽폲ꎬ듋쪱막욱볛룱놻뗍맀ꎬ듓볛룱짏뾴뿉틔춶ꎬ뻟쳥쫇럱헦헽춶뮹튪뷡뫏춶폅뛈뷸탐에뛏ꎬ죧맻듋쪱춶폅뛈튲쫇헽횵ꎬ쮵쏷뿉틔춶룃막욱ꎬ랴횮ꎬ듋쪱죧맻춶폅뛈캪뢺횵ꎬ뺡맜막욱볛룱놻뗍맀ꎬ떫뾼싇떽룃릫쮾막볛뫜쓑폐짏짽뗄쓚퓚뚯솦ꎬ쯹틔뮹쫇늻쓜춶룃막욱ꎻ떱맘솪몯쫽뒦폚뢺폲ꎬ듋쪱막욱볛룱놻룟맀ꎬ듓볛룱짏뾴늻쓜춶룃막욱ꎬ벴쪹폐뫜뫃뗄춶폅뛈ꎬ튲늻쓜춶ꎬ틲캪뛔폚튻횻막욱듓룟캻뷸죫ꎬ벴쪹폐뿉쓜짏헇ꎬ헇럹튲늻믡첫듳ꎬ뛔펦뗄믱샻뿕볤튲폐쿞ꆣ퓚볛룱에뛏뗄믹뒡짏ꎬ놾컄폃막욱춶폅뛈살뫢솿막욱볛룱짏짽잱솦뗄듳킡ꎬ움볛막욱뗄믹놾쏦벰랢햹잱솦죧뫎ꎬ볛룱쫇럱폐짏짽뗄뿕볤ꎬ듓뛸뻶뚨쫇럱춶쒳횻막욱ꆣ춶폅뛈풽듳ꎬ막욱볛룱짏짽잱솦풽듳ꎬ춶폅뛈킡폚믲뗈폚쇣쪱ꎬ막욱볛룱컞짏짽잱솦ꎬ늻쓜춶룃막욱ꆣ뷓ퟅ퓋폃뿉췘뚯첬움볛랽램뛔막욱뗄춶폅뛈뷸탐닢쯣ꎬ늢톡좡뮦짮솽쫐훐늿럖퇹놾막욱뷸 4
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 탐쪵횤럖컶ꎬ쪹쯹ퟶ릤ퟷ룼볓폐쮵럾솦ꆣ 5
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 뗚뛾헂?막욱춶럖컶퇐뺿뗄샭싛믹뒡? 놾컄훐뗄막욱춶럖컶퇐뺿뗄샭싛믹뒡쫇뿉췘톧ꆣ뿉췘톧뗄믹놾샭싛쫇솬맡폖쾵춳뗄ꎬ놾헂쯹뷩짜뗄뿉췘샭싛뷶뷶쫇뛔놾컄퇐뺿훐붫튪폃떽뗄샭싛ퟷ볲떥뗄뷩짜ꎬ웤훐뷏쓑샭뷢뗄늿럖엤폐쿠맘뗄샽ퟓ볓틔쮵쏷ꎬ쪹컄헂볲쏷틗뚮ꆣ 뿉췘톧뗄랢햹벰펦폃쇬폲 1983쓪ꎬ맣뚫릤튵듳톧뗄닌컄뷌쫚퓚뿆톧첽쯷놨짏랢뇭쇋튻욪컄헂ꆶ뿉췘벯뫏폫늻쿠죝컊쳢ꆷ[5]ꎬ뇪횾ퟅ컒맺뗄튻쏅풭뒴탔뿆톧ꆪ뿉췘톧뗄떮짺,뷓ퟅꆶ컯풪럖컶ꆷꆢꆶ컯풪쒣탍벰웤펦폃ꆷꆢꆶ뿉췘릤돌랽램ꆷ뗈훸뗄쿠볌돶냦ꎬ쪹뿉췘톧뗄샭싛늻뛏뗃떽췪짆ꆣ뿉췘톧첽쳖뒦샭쎬뛜컊쳢뗄맦싉폫랽램ꎬ뛔뒦샭ꆢ뷢뻶쎬뛜컊쳢뗄랽램뷸탐쾵춳뗄럖컶폫맩쓉[6-11]ꆣ뺭맽뛾쪮벸쓪뗄랢햹ꎬ뿉췘샭싛틑뺭폫맜샭뿆톧ꆢ뿘훆싛뫍탅쾢싛쿠뷡뫏ꎬ쪹뿉췘랽램펦폃폚뺭볃ꆢ맜샭ꆢ뻶닟뫍맽돌뿘훆훐ꎬ뷸죫죋릤훇쓜틔벰폫죋릤훇쓜쿠맘뗄톧뿆횮훐ꆣ뺭컒맺룷톧뿆좨췾볒랴뢴즸톡ꆢ싛횤뛸뇠돉뗄ꆰ20쫀볍컒맺톧쫵쏻훸ꆱ뗈싛훸냑뿉췘톧쇐캪컒맺톧헟뒴붨뗄탂톧뿆ꆣ 뿉췘톧쫇폃탎쪽뮯뗄릤뻟듓뚨솿뫍뚨탔솽룶뷇뛈좥퇐뺿뷢뻶쎬뛜컊쳢뗄맦싉뫍랽램ꆣ틔뿉췘싛캪믹뒡ꎬ랢햹쇋튻엺쳘폐뗄뿉췘랽램ꎺ컯풪럖컶랽램ꆢ컯풪뇤뮻랽램뫍폅뛈움볛랽램ꎬ헢킩랽램폫웤쯻쇬폲뗄랽램쿠뷡뫏닺짺쇋쿠펦뗄뿉췘릤돌랽램ꆣ퓚놾컄훐ꎬ뷶뛔놾컄쯹펦폃뗄뿉췘럖컶ꆢ컯풪쒣탍벰뿉췘폅뛈움볛랽램ퟷ쇋볲떥뗄뷩짜ꎬ뛁헟죴튪톰쟳룼맣랺뗄뿉췘톧횪쪶ꎬ쟫닎뾼쏅뗄뷌닄[5ꎭ11]ꆣ 뿉췘톧뗄샭싛믹뒡ꆪꆪ뿉췘싛 뿉췘톧뗄샭싛믹뒡쫇뿉췘싛ꎬ냼삨믹풪샭싛ꆢ뿉췘벯샭싛ꆢ뿉췘싟벭죽듳횧훹ꆣ캪쇋뛁헟룼뫃뗘샭뷢놾컄뗄퇐뺿ꎬퟷ헟쫗쿈볲떥뷩짜뿉췘싛뗄폐맘쓚죝ꎬ뻟쳥냼삨믹풪뗄룅쓮ꆢ뿉췘럖컶풭샭ꆢ뿉췘뇤뮻풭샭ꆢ뿉췘벯ꆢ맜샭몯쫽틔벰뿉췘싟벭뗈ꆣ 믹풪 캪쇋탎쪽뮯쏨쫶컯ꆢ쫂뫍맘쾵ꎬ붨솢쇋컯풪ꎨmatterꎭelementꎩꆢ쫂풪 ꎨaffairꎭelementꎩ뫍맘쾵풪ꎨralationꎭelementꎩ뗄룅쓮ꎬ쯼쏇쫇뿉췘톧뗄싟벭쾸냻ꎬ춳돆믹풪ꎨbasicꎭelementꎩꆣ 1ꆢ컯풪 R=(N,c,v)Ncv룸뚨쫂컯뗄쏻돆ꎬ쯼맘폚쳘헷뗄솿횵캪ꎬ틔폐탲죽풪ퟩퟷ 6
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 Ncv캪쏨쫶쫂컯뗄믹놾풪ꎬ볲돆컯풪ꆣ쫂컯뗄쏻돆ꆢ쳘헷뫍솿횵돆캪컯풪뗄죽M=(c,v)cv튪쯘ꆣ쒳룶쳘헷벰웤쿠펦솿횵쯹릹돉뗄뛾풪ퟩ돆캪쳘헷풪ꆣ c,c,Λ,cNn12n튻룶쫂컯뿉틔폐뛠룶쳘헷ꎬ죧맻쫂컯폃룶쳘헷ꎬ벰쿠펦뗄솿v,v,Λ,v12n횵살쏨쫶ꎬ퓲뿉폃컯풪뇭쪾캪ꎺ N,cvR111cvR222R==ΜΜΜcvRnnn R=(N,c,v)(i=1,2,Λ,n)niiiR돆캪캬컯풪ꎬ웤훐돆캪럖컯풪ꆣ v(t)t쫂컯맘폚쒳쳘헷뗄솿횵ꎬ쯦ퟅ쪱볤뗄뇤뮯ꎬ췹췹튲닺짺뇤뮯ꎬ틔뇭쪾ꎬR(t)=(N(t),c,v(t))R(t)t붫돆캪뚯첬컯풪ꎬ죧맻듺뇭뗄쫇웤쯻뇤솿ꎬ퓲돆캪닎뇤솿컯풪ꆣ 2ꆢ쫂풪 db컯폫컯뗄쿠뮥ퟷ폃돆캪쫂ꎬ쫂틔쫂풪살쏨쫶ꆣ냑뚯듊ꆢ뚯듊뗄쳘헷벰맘I=(d,b,u)bu폚뗄솿횵릹돉뗄폐탲죽풪ퟩퟷ캪쏨쫶쫂뗄믹놾풪ꎬ돆캪튻캬쫂풪ꆣ(b,u)I폫컯풪샠쯆ꎬ돆캪쫂풪뗄쳘헷풪ꆣ뚯듊뗄믹놾쳘헷폐ꎺ횧엤뛔쿳ꆢ쪩뚯뛔쿳ꆢ뷓쫜뛔쿳ꆢ쪱볤ꆢ뗘뗣ꆢ돌뛈ꆢ랽쪽ꆢ릤뻟뗈ꆣ b,b,Λ,bdn12nd튻룶쫂풪튲뿉틔폐뛠룶쳘헷ꎬ뚯듊ꎬ룶쳘헷뫍맘폚b,b,Λ,bu,u,Λ,u12n12n좡뗃뗄솿횵릹돉뗄헳쇐 d,b,u11∆b,u22=(d,B,U)=IΜΜb,unn n돆캪캬쫂풪ꎬ웤훐 bu11bu22B=U=ΜΜbunnꎬ 7
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 3ꆢ맘쾵풪 맘쾵풪쫇쏨쫶컯폫컯ꆢ쫂폫쫂ꆢ컯폫쫂맘쾵뗄탎쪽뮯릤뻟ꆣ틔맘쾵듊믲맘쾵a,a,Λ,aω,ω,Λ,ωsn12n12nn럻ꆢ룶쳘헷뫍쿠펦솿횵릹돉뗄캬헳쇐 s,a,ω11∆a,ω22=(d,A,W)=QΜΜa,ωnn ωωn12폃폚쏨쫶뫍뗄맘쾵ꎬ돆캪캬맘쾵풪ꎬ웤훐 aω11aω22A=W=ΜΜaωnn ꎬ aaa312뫍럖뇰뇭쪾잰쿮뫍뫳쿮ꎬ뇭쪾돌뛈ꎬ쯼쏇쫇뎣폃뗄믹놾쳘헷ꎬ뇭듯a,Λ,a4ns쇋맘쾵뗄뛔쿳벰웤돌뛈ꎬ럖뇰뇭쪾맘쾵뗄웤쯼쳘헷ꆣ샽죧 뷨듻맘쾵ꎬ잰쿮ꎬ릫쮾A뫳쿮ꎬ틸탐B돌뛈ꎬ1000췲풪Q=캬쾵랽쪽ꎬ뫏춬 솪쾵춨뗀ꎬ뺭샭C↔뿆뎤D솪쾵랽쪽ꎬ뗧뮰∨E−mail뗘뗣ꎬE쫐 뿉췘럖컶풭샭 믹풪뗄뿉췘럖컶풭샭냼삨랢즢럖컶풭샭ꆢ뿉삩럖컶풭샭ꆢ쿠맘럖컶풭샭ꆢ퓌몬럖컶풭샭틔벰릲럖컶풭샭ꆣ쿂쏦틔컯풪캪샽뷸탐뷩짜ꆣ 1ꆢ컯풪뗄랢즢탔 컯풪뗄랢즢탔쫇죋쏇랢즢탔쮼캬뗄틀뻝ꆣ튻룶쫂컯뻟폐뛠훖쳘헷ꎬ튻룶쳘헷믲튻룶솿횵폖캪뛠룶쫂컯쯹뻟폐ꎬ헢샠탔훊돆캪컯풪뗄랢즢탔ꆣ듓쒳룶컯풪돶랢ꎬ룹뻝늻춬뗄맦퓲ꎬ뿉틔랢즢돶쿠펦뗄컯풪벯ꆣퟜ쳥뛸퇔ꎬ컯풪뗄랢즢탔퇐뺿쫂컯쿲췢뾪췘뗄뿉쓜슷뺶ꎬ웤쓚죝죧쿂쏦춼2-1쯹쪾ꆣ 컯풪뗄랢즢탔캪죋쏇뷢뻶쎬뛜컊쳢쳡릩뛠쳵뿉릩톡퓱뗄슷뺶ꆣ펦폃랢즢탔좥뷢뻶쟳횪폫쟳탐컊쳢뗄랽램돆캪랢즢쫷랽램ꆣ 8
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 2ꆢ컯풪뗄뿉삩탔 튻룶쫂컯ꎬ뿉틔폫웤쯼쫂컯뷡뫏돉탂뗄쫂컯ꎬ듓뛸쳡릩뷢뻶쎬뛜컊쳢뗄뿉쓜탔ꆣ샽죧ꎬ튪쿫붫솽훖만쳥럛쒩믬뫏뗃럇뎣뻹퓈쫇뫜삧쓑뗄ꎬ떫룹뻝헢솽훖만 춬컯컯풪 {R} 춬컯춬헷컯풪 N {R} N,c컯풪 춬헷컯풪 춬컯춬횵컯풪 (N,c,v) {R} 춬헷춬횵컯풪 {R} cN,v {R} c,v 춬횵컯풪 {R} v춼2-1 컯풪랢즢탔쪾틢춼 쳥뚼쓜죜폚쮮뗄탔훊ꎬ닉좡쿈붫쯼쏇럖뇰죜폚쮮ꎬ퓙붫죜튺믬뫏ꎬ좻뫳붫쮮헴룉뗄랽램ꎬ뇣뿉틔뗃떽믬뫏뗃쪮럖뻹퓈뗄럛쒩ꆣ튻룶쫂컯ꎬ튲뿉틔럖뷢캪죴룉탂뗄쫂컯ꎬ쯼쏇뻟폐풭쫂컯늻뻟폐뗄쒳킩쳘헷ꎬ듓뛸캪뷢뻶쎬뛜컊쳢쳡릩뿉쓜탔ꆣ 컒쏇냑쫂컯뿉틔뷡뫏럖뷢뗄뿉쓜탔ꎬ춳돆캪쫂컯뗄뿉삩탔ꆣ컯풪뗄뿉삩탔냼삨컯풪죽튪쯘뗄뿉볓탔ꆢ뿉믽탔뫍뿉럖탔ꆣ샻폃뿉삩탔좥뷢뻶쟳횪폫쟳탐컊쳢뗄랽램돆캪럖뫏솴랽램 3ꆢ컯풪뗄쿠맘탔 튻룶쫂컯폫웤쯼쫂컯맘폚쒳쳘헷뗄솿횵횮볤ꆢ춬튻쫂컯믲춬ퟥ쫂컯맘폚쒳킩쳘헷뗄솿횵횮볤ꎬ죧맻듦퓚튻뚨뗄틀삵맘쾵ꎬ컒쏇돆횮캪쿠맘ꆣ평폚쿠맘탔뗄듦퓚ꎬ튻룶쫂컯뗄솿횵뗄뇤뮯믡떼훂폫횮쿠맘뗄쫂컯뗄뇤뮯ꎬ튻룶쫂컯믲튻ퟥ쫂컯맘폚쒳튻쳘헷뗄솿횵뗄뇤뮯믡떼훂뇰뗄쳘헷뗄솿횵뗄뇤뮯ꎬ헢훖뇤뮯뮥쿠뒫떼폚튻룶쿠맘췸훐ꎬ헢쪹컒쏇뿉틔샻폃쿠맘맘쾵좥뒦샭쟳횪컊쳢뫍쟳탐컊쳢ꎨ헢솽룶룅쓮뗄뻟쳥뚨틥뫍컯풪뇭쫶뿉닎볻컄쿗[6]ꎩꆣ쇭튻랽쏦ꎬ튲평폚쿠맘췸뗄듦퓚ꎬ쪹컒쏇뷸탐컯풪뇤뮻쪱뇘탫뾼싇쿠맘컯풪뗄뇤뮯ꎬ튲뻍쫇ꆰ잣튻랢뛸뚯좫짭ꆱꆣ틲듋ꎬ쿠맘탔쫇퇐뺿뇤뮻뗄솬쯸ퟷ폃뗄틀뻝ꆣ펦폃쿠맘탔폫컯풪뇤뮻뷢뻶쟳횪폫쟳탐컊쳢뗄랽램돆캪쿠맘췸랽램ꆣ 4ꆢ컯풪뗄퓌몬탔 퓚쪵볹훐ꎬ떱풭폐뗄컊쳢뫜쓑뷢뻶ꎬ죋쏇뾼싇뷢뻶쇭튻룶컊쳢ꎬ룃컊쳢뷢뻶쇋ꎬ풭컊쳢튲ퟔ좻뷢뻶ꆣ헢뻍쫇퓌몬쾵랽램ꆣ 9
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 죴A@,뇘폐B@ꎨ럻뫅@뇭쪾듦퓚ꎩ,퓲돆A퓌몬B,볇ퟷA→B,A폫B횮볤뗄맘쾵돆캪퓌몬맘쾵ꆣ죴룉풪쯘B,B,Λ,B,볇ퟷ{B,i=1,2,Λ,n}틔벰쯼12ni쏇횮볤뗄퓌몬맘쾵{→}릹돉튻룶퓌몬쾵춳Bꎬ볲돆퓌몬쾵ꎬ볇캪B={{B,i=1,2,Λ,n},{→}}ꆣ i5ꆢ컯풪뗄릲탔 듓쫂컯뗄컯훊탔ꆢ쾵춳탔ꆢ뚯첬탔뫍뛔솢탔돶랢좥죏쪶쫂컯ꎬ쓜룼췪헻뗘쏨쫶쫂컯뗄뷡릹ꎬ룼짮뿌뗘뷒쪾쫂컯랢햹뇤뮯뗄놾훊ꆣ듓헢쯄룶뷇뛈돶랢ꎬ뿉췘톧폃탩쪵ꆢ죭펲ꆢ잱쿔ꆢ뢺헽쯄뛔뛔솢뗄룅쓮살쏨쫶쫂컯뗄릹돉ꎬ돆캪쫂컯뗄릲탔ꆣ펦폃릲탔폫컯풪뇤뮻좥뷢뻶쟳횪폫쟳탐컊쳢뗄랽램돆캪릲뛔랽램ꆣ 듓쫂컯컯훊탔뾼싇ꎬ죎뫎쫂컯뚼평탩쪵솽늿럖ퟩ돉ꆣ샽죧ꎬ놭ퟓ뗄쪵쳥캪쪵늿ꎬힰ쮮뗄뿕볤쫇탩늿ꎬ랿ퟓ뗄잽뇚ꆢ쳬뮨냥뫍뗘냥쫇쪵늿ꎬ랿ퟓ릹돉뗄뿕볤쫇탩늿ꆣ탩늿쫇폐볛횵뗄ꎬ탩폫볙늻춬ꎬ탩쫇뿍맛듦퓚뗄ꎬ쯼틔쪵캪믹뒡ꆣ 듓쫂컯뗄쾵춳탔뾼싇ꎬ쫂컯뗄ퟩ돉늿럖뗄좫쳥돆캪쫂컯뗄펲늿ꎬ쫂컯폫쯼뗄ퟩ돉늿럖횮볤벰폫룃쫂컯틔췢뗄쫂컯횮볤뗄솪쾵돆캪죭늿ꆣ죧릤뎧A평뎵볤1ꎬ뎵볤2ꎬꆭꎬ뿆쫒1ꎬ뿆쫒2ꎬꆭퟩ돉ꆣ헢킩뎵볤ꆢ뿆쫒쫇릤뎧뗄펲늿ꎬ뛸뎵볤횮볤뗄맘쾵ꎬ뿆쫒횮볤뗄맘쾵ꎬ뎵볤폫뿆쫒볤뗄맘쾵ꎨ쓚쫴맘쾵ꎩꎬ릤뎧A폫훷맜떥캻ꎨ췢쫴맘쾵ꎩꎬ릤뎧A폫웤쯼뎧ꆢ짌뗪뗄맘쾵ꎨ췢솪맘쾵ꎩ춳돆릤뎧A죭늿ꆣ평듋뿉볻ꎬ죭늿평쓚쫴맘쾵ꆢ췢쫴맘쾵뫍췢솪맘쾵ퟩ돉ꆣ 평폚쫂컯뒦폚늻뛏뇤뮯횮훐ꎬ컒쏇듓쫂컯뗄뚯첬탔뾼싇ꎬ냑쫂컯잱퓚뗄늿럖돆캪잱늿ꎬ쿔뮯뗄늿럖돆캪쿔늿ꆣ샽죧ꎬ벲늡폐잱럼뗄맽돌ꎬ떽쇋튻뚨쪱볤틔뫳닅쿔뮯돶살ꎻ첥뛹퓚퓐뢾뢹훐쪱쫇잱퓚뗄죋ꎬ럖쏤뫳닅돆캪쿔뮯뗄죋ꎻ냙믵릫쮾샯뗄뿕뗷믺뗄폃뗧솿쫇잱퓚뗄ꎬ붨짨훐뗄뇶망뗄폃뗧솿튲쫇잱퓚뗄ꎬ튻떩솬뷓떽뗧췸훐ꎬ뷓짏뾪맘ꎬ쯼쏇뗄폃뗧솿뻍쫇쿔뮯뗄ꆣ 죎뫎쫂컯뗄쓚늿뚼폐뛔솢뗄솽룶랽쏦ꎬ컒쏇냑쫂컯맘폚쒳쳘헷뗄솿횵좡헽횵뗄늿럖돆캪쫂컯맘폚쒳쳘헷뗄헽늿ꎬ냑쫂컯맘폚쒳쳘헷뗄솿횵좡뢺횵뗄늿럖돆캪쫂컯맘폚룃쳘헷뗄뢺늿ꆣ죧ꎬ퓚릤뎧훐ꎬ맘폚샻죳뛸퇔ꎬ뎵볤ꆢ릩쿺뿆뗈쫇헽늿ꎬ폐뛸퇔ꎬ탻뒫늿ꎬ뻣샖늿뗈쫇뢺늿ꆣ맘폚쏻짹뛸퇔ꎬ탻뒫늿ꆢ뻣샖늿뗈폖쫇헽늿ꆣ 뿉췘뇤뮻풭샭 뿉췘뇤뮻ꎬ쫇냑튻룶뛔쿳뇤캪쇭튻룶뛔쿳믲헟럖뷢캪죴룉뛔쿳뗄맽돌ꆣ뿉췘뇤뮻뿉틔폃쫂풪탎쪽뮯뇭쪾캪 10
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 d,b,u뇤뮻ꎬ횧엤뛔쿳ꎬu111b,u뷓쫜뛔쿳ꎬu222b,u뇤뮻뷡맻ꎬu333b,u쪩뚯뛔쿳ꎬu444T== b,u랽램ꎬu555b,u릤뻟ꎬu666b,u쪱볤ꎬu777ΜΜΜΜ웤훐ꎬd쫇뚯ퟷ뗄쏻돆ꎬ뇭쪾쪵쪩뗄뇤뮻뗄쏻돆ꎬ벴 d∈{훃뮻ꎬ럖뷢ꎬ퓶볓ꎬ즾복ꎬ삩듳ꎬ쯵킡ꎬΛ} d뿉틔춨맽뛔쓢쪵쪩뇤뮻뗄뛔쿳뗄뿉췘뿉췘럖컶믲릲럖컶좷뚨ꆣ 짏쫶뇤뮻T뿉틔뷢컶캪ꎺu퓚쪱볤uꎬ틔u캪릤뻟ꎬu캪랽램ꎬ뛔u쪵47651쪩뇤뮻dꎬ뇤뮻솿캪uꎬ뇤뮻뷡맻캪uꆣ듋뇤뮻춨뎣볲볇캪 23Tu=u 13웤훐u뫍u뿉춨맽샺쪷쇏ꆢ죏캪횸뚨믲뺭퇩뗈좷뚨ꆣ좷뚨쇋56u(i=1,2,Λ)ꎬ뻍좷뚨쇋뿉췘뇤뮻Tꎬuꎬuꎬuꎬu뻹뿉틔쫇컯ꆢ쫂ꆢ컯풪ꆢi1234쫂풪ꎬ맘쾵풪ꆢ뢴뫏풪뗈ꆣ 뿉췘벯 퓚쿖쪵쫀뷧훐ꎬ쫂컯ퟜ쫇퓚늻뛏뗘뇤뮯ꆣ벯뫏싛쫇럖샠톧뗄쫽톧믹뒡ꎬ내쿖폐뗄룷훖럖샠랽램ꎨ냼삨뺭뗤쫽톧럖샠램ꆢFuzzy럖샠램ꆢRough Set럖샠램뗈ꎩ쫇쓑틔뿌뮭쾵춳뛔쿳뚯첬럖샠뗄ꎬ틲캪쯼쏇컞램쏨쫶ꆰ쫇ꆱ폫ꆰ럇ꆱ뗄뮯맽돌ꆣ뿉췘벯뫏ꎨextension setꎩ쫇컯풪ꎨmatter-elementꎩ샭싛뗄뫋탄ꎬ컯풪뗄뿉췘탔ꎨextensibilityꎩ쫇럖컶쫂컯뗄뿉뇤탔뫍뛠뇤탔뗄샭싛믹뒡ꎬ컯풪뇤뮻뿉틔쏨쫶돶뿉췘폲훐뗄컯풪듓늻뻟폐쒳훖쳘헷뇤캪뻟폐룃쳘헷뗄맽돌ꆣ 짨U캪싛폲ꎬK쫇U떽쪵폲I뗄튻룶펳짤ꎬ돆 ~A={(u,y)|u∈U,y=K(u)} ~~캪싛폲U짏뗄튻룶뿉췘벯뫏ꆣy=K(u)캪A뗄맘솪몯쫽ꎬK(u)캪u맘폚A뗄맘솪뛈ꆣ돆 A={u|u∈U,K(u)≥0} 11
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 ~캪A뗄헽폲ꆣ A={u|u∈U,K(u)≤0} ~캪A뗄뢺폲ꆣ ~ J(A)={u|u∈U,K(u)=0} 0~캪A뗄쇣뷧ꆣ쿔좻ꎬ죴u∈Jꎬ퓲u∈Aꎬ춬쪱ꎬu∈Aꆣ 0~볇U짏뗄뿉췘벯뫏뗄좫쳥캪∆(U)ꎬ쿔좻ꎬA∈∆(U) ~짨A∈∆(U)ꎬT쫇뇤뮻ꎬ쟒TU∈U,돆 A(T)={u|u∈U,K(Tu)≥0} ~캪뿉췘벯뫏A맘폚뇤뮻T뗄헽폲ꆣ &A(T)={u|u∈U,K(Tu)≤0} ~캪A맘폚뇤뮻T뗄뢺폲ꆣ A(T)={u|u∈U,K(u)≤0,K(Tu)≥0} −~캪A맘폚뇤뮻T뗄뿉췘폲ꆣ A(T)={u|u∈U,K(u)≥0,K(Tu)≥0} +~캪A맘폚뇤뮻T뗄컈뚨폲ꆣ 뿉췘벯뫏폃(−∞,+∞)훐뗄쫽살쏨쫶쫂컯뻟폐쒳훖탔훊뗄돌뛈ꎬ틔벰ꆰ쫇ꆱ폫ꆰ럇ꆱ뗄쿠뮥뮯ꎬ쯼볈뿉폃살쏨쫶솿뇤뗄맽돌ꎨ컈뚨폲ꎩꎬ폖뿉폃살쏨쫶훊뇤뗄맽돌ꎨ뿉췘폲ꎩꆣ쇣뷧뫍췘뷧냼몬쇋훊뇤뗄뗣ꎬ뎬풽쯼쏇쫂컯뻍닺짺훊뇤ꆣ 맘솪몯쫽 퓚뺭뗤싟벭훐ꎬ폃쳘헷몯쫽살쏨쫶쏼쳢뗄헦횵ꎬ퓚쒣뫽싟벭훐ꎬ폃솥쫴몯쫽살뇭헷쒣뫽쏼쳢뗄솥쫴뛈ꆣ퓚뿉췘싟벭훐ꎬ폃맘솪몯쫽살뿌뮭컊쳢뗄맘솪뛈ꆣ 캪쇋쏨쫶샠볤쫂컯뗄쟸뇰ꎬ퓚붨솢맘솪몯쫽횮잰ꎬ맦뚨쇋뗣x폫쟸볤X=<a,b>횮뻠캪 0 12
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 a+bb−a ρ(x,X)=x−− () 022쪵폲짏맘솪몯쫽뗄믹놾릫쪽캪 ρ(x,X) k(x)= () ρ(x,X)−ρ(x,X)0헢룶릫쪽뗄붨솢ꎬ쪹컊쳢맘솪뛈뗄볆쯣늻뇘틀뾿훷맛에뛏믲춳볆ꎬ뛸쫇룹뻝뛔쫂컯뗄튪쟳X=<a,b>뫍훊뇤뗄쟸볤X=<c,d>살좷뚨ꆣ헢쪹맘솪몯쫽냚췑0쇋훷맛에뛏퓬돉뗄욫닮ꆣ퓚쪵볊닙ퟷ훐ꎬ횻튪좷뚨쇋쯄룶뗣ꎬ뻍뿉틔붨솢맘솪몯쫽ꆣ 떱좻ꎬ맘솪몯쫽뮹폐튻킩웤쯼탎쪽ꎬ죧볲떥맘솪몯쫽ꆢ샫즢탍맘솪몯쫽뗈ꎬ헢킩컄쿗[34-36]훐뚼폐쿪쾸뗄뷩짜ꆣ 뿉췘싟벭볲뷩 뿉췘싟벭쫇늻춬폚쫽샭싟벭뫍쒣뫽싟벭뗄싟벭ꎬ쯼퇐뺿뮯쎬뛜컊쳢캪늻쎬뛜컊쳢뗄뇤뮻뫍췆샭뗄맦싉ꎬ쫇뿉췘싛훐볌믹풪샭싛뫍뿉췘벯뫏샭싛횮뫳쳡돶뗄뗚죽룶횧훹ꆣ뿉췘싟벭뗄퇐뺿쓚죝냼삨ꎺ탎쪽뮯뇭듯솿뇤뫍훊뇤뗄싟벭ꆢ듓뺲첬쏼쳢삩햹캪뿉뇤쏼쳢뗄싟벭ꆢ짦벰쫂컯쓚몭뗄싟벭ꆢ쓜쏨쫶볈ꆰ쫇ꆱ폖ꆰ늻쫇ꆱ뗄싟벭ꆣ 뿉췘췆샭쫇뿉췘싟벭뗄훷튪쓚죝횮튻ꎬ쯼붫캪볆쯣믺뒦샭쎬뛜컊쳢쳡릩탂뗄췆샭벼쫵ꆣ뿉췘췆샭냼삨췘햹췆샭ꆢ뒫떼췆샭뫍릲췆샭ꆣ쒿잰ꎬ뛔뿉췘췆샭뗄퇐뺿뮹뫜돵늽ꎬ폈웤쫇뛔뢴뫏풪뇤뮻뗄뒫떼췆샭뫍릲췆샭뗈뗄퇐뺿ꎬ뮹탨튪뷸튻늽짮죫ꎬ닅쓜쪵쿖뿉췘랽램볆쯣믺뮯뗄쒿뇪ꆣ 쎬뛜컊쳢뗄컯풪쒣탍 냑쿖쪵쫀뷧훐뗄컊쳢폃컯풪살쏨쫶ꎬ돆캪컯풪쒣탍ꆣ죧맻냑튪쪵쿖뗄쒿뗄폃컯풪R뇭쪾ꎬ돆캪쒿뗄컯풪ꎻ틑폐뗄쳵볾컯풪폃r뇭쪾ꎬ돆캪쳵볾컯풪ꎬ퓲쯼쏇릹돉뗄컊쳢P볇캪ꎺP=R*rꎬ헢뻍쫇컊쳢뗄컯풪쒣탍ꎬ쯼럖캪쟳횪컊쳢폫쟳탐컊쳢ꆣ놾컄훐뚯첬움볛컊쳢쫇튪쟳돶뛔쫂컯랢햹ힴ뿶뷸탐뛈솿ꎬ쫴폚쟳횪컊쳢ꆣ 뿉췘톧훐뗄쎬뛜컊쳢뿉럖캪늻쿠죝컊쳢뫍뛔솢컊쳢ꆣ늻쿠죝컊쳢쫇훷맛폫뿍맛쎬뛜뗄컊쳢ꎬ뛔솢컊쳢쫇훷맛뫍훷맛쎬뛜뗄컊쳢ꆣ늻쿠죝컊쳢뿉폃뿉췘닟싔짺돉랽램쟳뷢ꎬ뛔솢컊쳢뿉폃뮻쟅랽램쟳뷢ꆣ 13
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 뿉췘폅뛈움볛랽램 뿉췘폅뛈움볛랽램뗄폅뗣 뿉췘폅뛈움볛램[8]쫇움볛튻룶뛔쿳ꎬ냼삨쫂컯ꆢ닟싔ꆢ랽램뗈폅쇓뗄믹놾랽램횮튻ꆣ룃랽램뿉틔춨맽볆쯣맘솪몯쫽ꎬ횱맛뗘뇈뷏움볛뛔쿳횮볤뗄폅쇓닮뻠ꎬ맘솪뛈횵뗄헽뢺뿉틔랴펳뛔쿳뗄샻뇗돌뛈ꎻ쇭췢뿉췘벯뫏쓜쏨쫶뿉뇤탔ꎬ튲캪뚯첬움볛쳡릩틀뻝ꆣ 뿉췘폅뛈움볛랽램뗄늽훨 ꎨ1ꎩ좷뚨뫢솿쳵볾 폅쇓쫇쿠뛔폚쒳킩뇪ힼ뛸퇔뗄ꎬ틲듋ꎬ튪움볛튻룶뛔쿳뗄폅쇓ꎬ쫗쿈뇘탫맦뚨뫢솿쳵볾ꆣ튻룶뛔쿳ꎬ맘폚쒳킩뫢솿쳵볾쫇폐샻뗄ꎬ뛔쇭튻킩뫢솿쳵볾뿉쓜쫇늻샻뗄ꆣ틲듋ꎬ움볛튻룶뛔쿳뗄폅쇓뇘탫랴펳돶샻뇗뗄돌뛈틔벰쯻쏇뿉쓜뗄뇤뮯쟩뿶ꆣ헢뻍튪쟳퇐뺿헟룹뻝쪵볊컊쳢뗄탨튪ꎬ훆뚨돶럻뫏벼쫵튪쟳ꎬ뺭볃튪쟳뫍짧믡튪쟳뗄뇪ힼꎬ좷뚨돶뫢솿쳵볾벯 M={M,M,Λ,M}ꎬ웤훐M=(c,v)쫇쳘헷풪ꎬv뚼쫇쫽솿뮯쇋뗄솿횵폲12niiiiꎨi=1,2,Λ,nꎩꆣ ꎨ2ꎩ좷뚨좨쾵쫽 움볛튻룶뛔쿳N(j=1,2,Λ,m)폅쇓뗄룷뫢솿쳵볾M,M,Λ,M폐쟡훘횮j12n럖ꎬ틔좨쾵쫽살뇭쪾룷뫢솿쳵볾뗄훘튪돌뛈ꆣ룹뻝훘튪돌뛈럖뇰뢳틔[0,1]횮볤뗄n횵ꆣ좨쾵쫽볇캪ꎺα={α,α,Λ,α}ꎬ웤훐ꎬα=1ꆣ 12n∑ii=1좨쾵쫽뗄듳킡뛔폚폅뛈뗄룟뗍뻟폐뻙ퟣ쟡훘뗄ퟷ폃ꎬ늻춬뗄좨쾵쫽믡뗃돶늻춬뗄뷡싛ꆣ떫평폚좨쾵쫽췹췹쫇평죋살뻶뚨뗄ꎬ틲듋뎣뎣듸폐훷맛쯦틢탔ꎬ펰쿬떽뷢뗄움볛뗄헦쪵탔뫍뿉뾿탔ꆣ캪쇋뺡솿뫏샭뗘좷뚨좨쾵쫽ꎬ뿉틔쪹폃닣듎럖컶램살좷뚨뫢솿쳵볾볤뗄쿠뛔훘튪탔듎탲ꎬ듓뛸좷뚨좨쾵쫽ꆣ ꎨ3ꎩ쫗듎움볛 좷뚨뫢솿쳵볾뗄좨쾵쫽뫳ꎬ뛔럇싺ퟣ늻뿉뗄쳵볾뷸탐즸톡움볛뛔쿳ꎬ돽좥늻싺ퟣ룃쳵볾뗄뛔쿳ꎬ좻뫳뛔틑럻뫏럇싺ퟣ늻뿉뗄쳵볾뗄뛔쿳뷸탐쿂쏦뗄늽훨ꆣ ꎨ4ꎩ붨솢맘솪몯쫽ꎬ볆쯣뫏룱뛈 짨뫢솿쳵볾벯M={M,M,Λ,M}ꎬM=(c,v)ꎬi=1,2,Λ,nꎬ좨쾵쫽럖12niii 14
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 엤캪 α={α,α,Λ,α}ꎬ붨솢맘폚v,v,Λ,v뗄맘솪몯쫽ꎺ 12n12n죴v폃튻룶쟸볤X뇭쪾ꎬ좡 i0iρ(x,X)0iK(x)= ꎨi=1,2,Λ,nꎩ iX0i죴v폃X뫍XꎨX⊂Xꎩ릹돉뗄쟸볤쳗쏨쫶ꎬ좡 i0ii0iiρ(x,X)0iK(x)= ꎨi=1,2,Λ,nꎩ iρ(x,X)−ρ(x,X)i0i냑뛔쿳N맘폚룷뫢솿쳵볾M뗄맘솪몯쫽횵볲볇캪K(N)ꎬ퓲룷뛔쿳jiijN,N,Λ,N맘폚M뗄뫏룱뛈캪 12miK=(K(N),K(N),Λ,K(N))ꎨi=1,2,Λ,nꎩ ii1i2imꎨ5ꎩ맦랶뮯 K(N)ij,K(N)>0ijmaxK(x)ix∈X0k= ꎨi=1,2,Λ,nꎻj=1,2,Λ,mꎩ ijK(N)ij,K(N)<0ijmaxK(x)ix∉X0퓲룷뛔쿳N,N,Λ,N맘폚맘폚M뗄맦랶뫏룱뛈캪 12mik=(k,k,Λ,k)ꎨi=1,2,Λ,nꎩ ii1i2imꎨ6ꎩ볆쯣폅뛈 뛔쿳N맘폚뫢솿쳵볾M,M,Λ,M뗄맦랶뫏룱뛈캪 j12nk1jk2jK(N)=ꎨj=1,2,Λ,mꎩ jΜknj뛔쿳N뗄폅뛈캪 j 15
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 k1jnk2jC(N)=αK(N)=(α,α,Λ,α)=αkꎨj=1,2,Λ,mꎩ jj12n∑iijΜi=1knj튻냣뗘ꎬ떱C(I)>0쪱ꎬ뇭쪾컊쳢뗄뷢ꆰ뗃뛠폚쪧ꆱꎻC(I)<0쪱ꎬ뇭쪾컊쳢뗄뷢ꆰ쪧뛠폚뗃ꆱꆣ뛔폚N뗄폅뛈뷸탐뇈뷏ꎬC(N)=max{C(N)}ꎬ퓲뛔쿳Nj0j0j=1,2,Λ,m캪ퟮ폅ꆣ 뿉췘뚯첬움볛랽램 뚯첬움볛뗄몬틥 퓚뺭볃뫍맜샭뻶닟훐ꎬ뫜뛠쟩뿶쿂탨튪뛔쫂컯뷸탐움볛ꆣ쒿잰뗄움볛랽램듳뚼닉폃떥횵뫍뺲첬뗄움볛믺훆ꆣ뺲첬움볛퓚뛔움볛뛔쿳뗄움볛늻쯦쪱볤뇤뮯ꆣ좻뛸퓚쿖쪵쫀뷧샯ꎬ쫂컯ퟜ쫇퓚늻뛏뇤뮯뗄ꎬ튻룶쫂컯믲쾵춳퓚웤짺쏼훜웚쓚췹췹웤쳘헷믡랢햹뇤뮻ꎬ샽죧짺쏼쳥ퟜ쫇뺭맽듓폗킡떽돉쫬ꎬ퓙떽쮥샏뗄뇤ꎬ웤뫜뛠쳘헷뚼랢짺뇤뮯ꆣ뺲첬움볛맽폚쿞훆쇋죋쏇뛔쫂컯뗄죏쪶ꎬ틲듋횻폐틽죫탂뗄뚯첬움볛믺훆ꎬ닅뿉쓜룼좫쏦ꆢ룼뿍맛뗘좥쏨쫶튻룶쫂컯믲쾵춳ꆣ 뚯첬움볛볈늻춬폚뺲첬움볛ꎬ튲폐뇰폚믹폚쪱탲쫽뻝뗄뛠횸뇪움볛ꆣ 뺲첬움볛쫇폫뚯첬움볛쿠뛔뗄룅쓮ꎬ쯼쫇뛔움볛뛔쿳뗄죏쪶늻쯦쪱볤뗄룄뇤뛸룄뇤ꎬ쫇퓚쒳튻쪱뗣짏뛔움볛뛔쿳뗄쳘헷뷸탐쏨쫶ꆣ믹폚쪱탲쫽뻝뗄뛠횸뇪움볛쫇뺲첬움볛뗄튻훖퇓짬ꎬ쯼뛔쫂컯퓚튻룶쪱볤탲쇐짏뗄뷸탐뛠횸뇪쏨쫶ꆣ뚯첬움볛폫뺲첬움볛뗄쟸뇰퓚폚쯼뛔쫂컯뗄죏쪶쯦쪱볤뗄룄뇤뛸룄뇤ꎬ뛸뚯첬움볛폫믹폚쪱탲쫽뻝뗄뛠횸뇪움볛뗄늻춬퓚폚쯼늻뷶뾼달쫂컯퓚쪱볤탲쇐짏쳘헷뗄솿ꎬ튲뾼달쳘헷훊뗄뇤뮯ꆣ샽죧뛔짏쫐릫쮾쒳튻쓪뛈뗄뺭펪킧맻뷸탐움볛쫴뺲첬움볛ꎬ뛔짏쫐릫쮾솬탸벸쓪뗄뺭펪킧맻뷸탐움볛쫴폚쪱탲쫽뻝뗄뛠횸뇪움볛ꎬ뛸냼삨쇋튻뛎쪱볤쓚닺훘ퟩꆢ쳘뇰뒦샭ꆢ췋쫐뗈틲쯘뗄좫쏦뾼달뻍쫇뚯첬움볛ꆣ퓚쿖쪵훐ꎬ퓚움볛뛔쿳뗄믹놾뷡릹믲탔훊랢햹뇤뗄쟩뿶쿂ꎬ뷶틀뾿움볛뛔쿳쳘헷뗄쪱탲쫽뻝살쏨쫶풶풶늻쓜랴펳쾵춳뗄헦쪵쟩뿶ꎬ뛸뚯첬움볛퓲뿉틔쏷좷뗘쏨쫶헢킩컊쳢ꆣ 뛔폚믹폚쪱탲쫽뻝뗄뛠횸뇪움볛ꎬ틑폐튻킩퇐뺿ꎬ훷튪뗄쮼슷쫇뛔늻춬쪱볤닉좡늻춬뗄좨훘[30-31]ꎬ뛸뛔뚯첬움볛뗄퇐뺿죔춣쇴퓚뚨탔뷗뛎ꆣ놾컄ퟅ훘뚯첬움볛뗄뚨솿랽램ꆣ 16
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 믹폚뿉췘벯뗄뚯첬움볛 컒쏇횪뗀ꎬ뿉췘뇤뮻캪움볛뛔쿳뗄랢햹뇤뮯쳡릩쇋뿉쓜탔ꎬ캪쇋뾼달움볛맽돌뗄뚯첬탔ꎬ컒쏇틽죫맘폚뿉췘뇤뮻T뗄듽움뛔쿳뗄뿉췘벯뫏ꆣ짨U캪듽움볛뛔쿳뗄좫쳥ꎬu∈U캪죎튻듽움뛔쿳ꎬy=k(u) 뇭쪾듽움뛔쿳럻뫏뫢솿쳵볾뗄돌뛈ꎬ퓲싛폲U뗄뿉췘벯캪 ~′E(T)={(u,y,y)|u∈TU,y=k(u)∈′I,y=Tk(Tu)∈I}ꎬ Uku웤훐T={T,T,T}캪쪵쪩뗄쒳튻뿉췘뇤뮻ꎬI캪쪵쫽폲ꆣ Uku~ꎨ1ꎩ떱T={e,e,e}ꎬ벴늻쪵쪩뇤뮻T쪱ꎬE뗄헽폲캪 E={(u,y)|u∈U,y=k(u)>0}ꎬ ~뇭쪾듽움뛔쿳훐쯹폐럻뫏뫢솿쳵볾뗄뛔쿳좫쳥ꆣ뛸E뗄뢺폲캪 E={(u,y)|u∈U,y=k(u)<0}ꎬ 뇭쪾듽움뛔쿳훐쯹폐늻싺ퟣ뫢솿쳵볾뗄뛔쿳좫쳥ꆣ웤쇣뷧 J={(u,y)|u∈U,y=k(u)=0}, 0뇭쪾듽움뛔쿳훐볈럻뫏뫢솿쳵볾ꎬ폖늻럻뫏뫢솿쳵볾뗄좫쳥ꎬ죧헐울훐펦울헟뾼떽쒳튻훖횤쫩ꎬ떫횤쫩뮹쎻냤랢쿂살뗄죋풱ꆣ ꎨ2ꎩ떱T={e,e,T}ꎬ벴듽움뛔쿳뗄싛폲뫍맘솪ힼ퓲뚼늻뇤ꎬ횻뛔듽움뛔쿳u뷸탐뇤뮻쪱ꎬ퓲헽뿉췘폲 ′′ E(T)={(u,y,y)|u∈TU,y=k(u)≤0,y=k(Tu)>0}ꎬ +uuu•뇭쪾풭살늻럻뫏뫢솿쳵볾ꎬ떫뺭맽뇤뮻뫳럻뫏쳵볾뗄듽움뛔쿳뗄좫쳥ꆣ뢺뿉췘폲 ′′E(T)={(u,y,y)|u∈TU,y=k(u)≥0,y=k(Tu)<0}ꎬ −uuu•뇭쪾풭살럻뫏쳵볾ꎬ떫뺭맽뇤뮻뫳늻럻뫏뗄듽움뛔쿳뗄좫쳥ꆣ헽컈뚨폲 ′ E(T)={(u,y,y)|u∈′TU,y=k(u)>0,y=k(Tu)>0}, +uuu뇭쪾풭살럻뫏쳵볾ꎬ떫뺭맽뇤뮻뫳죔좻럻뫏뗄듽움뛔쿳뗄좫쳥ꆣ뢺컈뚨폲 ′E(T){(u,y,y)|u∈′=TU,y=k(u)<0,y=k(Tu)<0} −uuu뇭쪾풭살늻럻뫏쳵볾ꎬ떫뺭맽뇤뮻뫳죔좻늻럻뫏뗄듽움뛔쿳뗄좫쳥ꆣ ꎨ3ꎩ떱T={e,T,e}ꎬ벴듽움뛔쿳뗄싛폲뫍듽움뛔쿳뚼늻뇤ꎬ횻뛔맘솪몯쫽k 17
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 k뷸탐뇤뮻쪱ꎬ뿉췘벯캪 ~′ E(T)={(u,y,y)|u∈U,yk(u)∈′=I,y=Tk(u)∈I}ꆣ kkT뇭쪾뛔쒳킩뫢솿쳵볾뗄룄뇤ꎬ헽뿉췘폲E(T)뇭쪾풭살늻럻뫏뫢솿쳵볾ꎬk+k•떫뇤뮻뫳뇤캪럻뫏쳵볾뗄좫쳥ꎬ뢺뿉췘폲E(T)뇭쪾풭살럻뫏쳵볾ꎬ떫뇤뮻뫳뇤−k•캪늻럻뫏뗄듽움뛔쿳뗄좫쳥ꎬ헽컈뚨폲E(T)뇭쪾풭살럻뫏뫢솿쳵볾ꎬ뺭뇤뮻뫳+k죔좻럻뫏뗄듽움뛔쿳뗄좫쳥ꎬ뢺컈뚨폲E(T)뇭쪾풭살늻럻뫏쳵볾ꎬ뺭뇤뮻뫳죔−k좻늻럻뫏뗄듽움뛔쿳뗄좫쳥ꆣ ꎨ4ꎩ떱T={T,e,e}쪱ꎬ벴듽움뛔쿳뫍맘솪ힼ퓲뚼늻뇤ꎬ횻뛔싛폲U뷸탐뇤U뮻쪱(놾컄쏅쳖싛뛔싛폲뷸탐삩듳뗄쟩뿶)ꎬ뿉췘벯캪 ~′E(T)={(u,y,y)|u∈U,yk(u)∈I;u∈′′=TU,y=k(u)∈I}, UU웤훐 k(u),u∈U∩TU,U′ k(u)= ′′k(u),u∈TU−U,U벴떱듽움뛔쿳쫴폚탂싛폲TU폫풭싛폲U뗄붻벯쪱ꎬ뫢솿쳵볾늻뇤ꎻ떱듽움U뛔쿳퓚풭싛폲U횮췢쪱ꎬ튪훘탂맦뚨뫢솿쳵볾ꎬ떱좻듋쪱뗄뫢솿쳵볾볈뿉폫풭살쿠춬튲뿉늻춬ꎬ튲벴′′k(u)볈뿉틔뗈폚k(u)ꎬ튲뿉늻뗈폚k(u)ꆣ 떱싛폲삩듳쪱ꎬ헽뿉췘폲E(T)뇭쪾풭싛폲틔췢뗄듽움뛔쿳뺭뇤뮻뫳뇤캪+U•럻뫏쳵볾뗄듽움뛔쿳뗄좫쳥ꎻ뢺뿉췘폲E(T)뇭쪾풭싛폲뗄듽움뛔쿳ꎬ평폚탂−U•듽움뛔쿳뗄볓죫뛸뇤캪늻럻뫏쳵볾뗄좫쳥ꎻ헽컈뚨폲E(T)뇭쪾풭싛폲훐풭살+U럻뫏쳵볾ꎬ뺭뇤뮻뫳죔좻럻뫏쳵볾뗄듽움뛔쿳뗄좫쳥ꎻ뢺컈뚨폲E(T)풭싛폲−U훐풭살늻럻뫏쳵볾ꎬ뺭뇤뮻뫳죔좻늻럻뫏쳵볾뗄듽움뛔쿳뗄좫쳥ꆣ 룹뻝짏쏦뛔뿉췘뚯첬움볛뗄싛쫶ꎬ뿉췘움볛쫇뫢솿듽움뛔쿳폫뿉췘벯뗄맘솪돌뛈ꎬ뛸믹폚뿉췘뇤뮻뗄움볛뢳폨쇋움볛뗄뚯첬탔ꎬ떱룸뚨늻춬뗄뿉췘뇤뮻ꎬ듽움뛔쿳폫뿉췘벯뗄맘솪돌뛈믡폐쯹늻춬ꎬ듓뛸믡쪹뛔듽움뛔쿳뗄움볛횵폐쯹늻춬ꆣ뿉췘뚯첬움볛랽램냼삨믹폚싛폲훐풪쯘뇤뮻뗄뿉췘움볛ꆢ믹폚맘솪ힼ퓲뇤뮻뗄뿉췘움볛뫍믹폚싛폲뇤뮻뗄뿉췘움볛ꆣ퓚쪵볊움볛훐ꎬ룹뻝늻춬움볛탨튪ꎬ뿉틔톡퓱늻춬뿉췘뇤뮻뷸탐뚯첬움볛ꆣ 18
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 뿉췘뚯첬움볛랽램뗄뫋탄쮼쿫쫇폃랢햹뗄ꆢ뿉뇤뗄퇛맢좥움볛쫂컯ꆣ뿉췘벯뫏쓜쏨쫶뿉뇤탔ꎬ맘솪몯쫽뗄횵뿉헽뿉뢺ꎬ틲듋쯼뿉틔뛔쫂컯뗄샻뇗ꆢ폅쇓돌뛈뷸탐뛈솿ꎬ틲듋듓뿉췘벯뫏뗄뷇뛈좥뛔움볛뛔쿳뷸탐움볛쓜뚯첬뗘뾼달쫂컯ꆣ퓚횸뇪뗄릹붨짏ꎬ늻뷶튪뾼싇쫂컯쿔뮯뗄탅쾢ꎬ뮹튪뾼싇쫂컯잱퓚뗄탅쾢ꎬ늻뷶튪퇐뺿폐샻뗄튻쏦ꎬ튲튪뾼달늻샻뗄튻쏦ꆣ퓚쪵볊움볛맽돌훐ꎬ컒쏇탨튪힢틢쿂쏦솽룶컊쳢ꎺ ꎨ1ꎩ뿉췘뚯첬움볛랽램쫇퓚뿉췘벯뫏뫍뿉췘폅뛈움볛뗄믹뒡짏쳡돶뗄ꎬ퓚쪵볊펦폃훐ꎬ탨튪룺폅뛈움볛랽램엤뫏쪹폃ꆣ ꎨ2ꎩ뚯첬움볛뗄움볛횸뇪쳥쾵뿉틔쫇쿖폐횸뇪ꎬ튲뿉틔퓋폃뿉췘랽램뛔쫂컯뷸탐럖컶ꎬ훘탂릹붨ꆣ 뿉췘뚯첬움볛뗄늽훨 쿂쏦룸돶뿉췘뚯첬움볛랽램뗄튻냣늽훨ꎺ ꎨ1ꎩ냑듽움볛뗄뛔쿳뗄좫쳥ퟷ캪싛폲Uꎬ뛔죎튻뿉췘뇤뮻T={T,T}ꎬ퓚Uku짏붨솢뿉췘벯 ~′E(T)={(u,y,y)|u∈,()∈′TUy=kuI,y=Tk(Tu)∈I}ꎬ Uku웤훐y=k(u) 캪맘솪몯쫽ꎬ뇭쪾싛폲U훐듽움뛔쿳u럻뫏뫢솿쳵볾뗄돌뛈ꎬ룹뻝쪵볊컊쳢훐룷횸뇪뗄늻춬튪쟳ꎬy=k(u)뿉좡돵뗈맘솪몯쫽ꆢ볲떥맘솪몯쫽ꆢ샫즢탍맘솪몯쫽믲쟸볤탍맘솪몯쫽뗈늻춬뗄탎쪽ꆣ ꎨ2ꎩ떱T={e,e}ꎬ벴늻쪵쪩뇤뮻T쪱ꎬ좷뚨뫢솿쳵볾벰웤좨훘쾵쫽ꎬ볆쯣룷뛔쿳뗄맘솪몯쫽횵ꎬ룹뻝맘솪몯쫽횵뗄듳킡돵늽움에룷뛔쿳쫴폚싛폲뗄헽폲ꆢ뢺폲믲쇣뷧ꆣ ꎨ3ꎩT≠{e,e}ꎬ벴뛔폚튻룶좷뚨뗄뿉췘뇤뮻TꎬT={T,T}쪱ꎬ볆쯣뇤뮻ku뫳룷뛔쿳뗄맘솪몯쫽횵ꎬ룹뻝맘솪몯쫽횵뿉냑싛폲뮮럖캪헽뿉췘폲ꆢ뢺뿉췘폲ꆢ헽컈뚨폲뫍뢺컈뚨폲ꎬ듓뛸쪵쿖쇋뛔싛폲U훐룷듽움뛔쿳쪵쿖쇋튻듎뚯첬움볛ꆣ ꎨ4ꎩ틀듋샠췆ꎬ룹뻝쪵볊움볛탨튪ꎬ죴쪵쪩쇭튻룶뿉췘뇤뮻ꎬ퓲볆쯣뇤뮻뫳룷뛔쿳뗄맘솪몯쫽횵ꎬ뻍뛔펦ퟅ쇭튻룶싛폲뗄뮮럖ꎬ듓뛸쪵쿖싛폲U훐룷듽움뛔쿳뗄쇭튻듎뚯첬움볛ꆣ ꎨ5ꎩ죴뛔듽움뛔쿳뗄싛폲U쪵쪩뇤뮻ꎬퟷTUU′=,퓲뛔펦ퟅ탂싛폲뗄튻훖U뿉췘움볛ꎬ훘뢴짏쏦늽훨ꎨ1ꎩꆫꎨ4ꎩꆣ 19
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 움볛횸뇪쳥쾵뗄뿉췘릹붨랽램 쫂컯뗄폅쇓ퟜ쫇쿠뛔폚쒳룶움볛뇪ힼ뛸퇔뗄ꎬ틲듋뛔쫂컯뷸탐폅뛈움볛뗄잰쳡쫇붨솢움볛횸뇪쳥쾵ꆣ퓚움볛횸뇪쳥쾵릹붨랽쏦ꎬ쒿잰춨뎣퓋폃뗄쫇볒뗷퇐램ꎨDelphi램ꎩ뫍컄쿗닎뾼램ꆣ볒뗷퇐램쫇튻훖쿲볒랢몯ꆢ헷쟳틢볻뗄뗷퇐랽램ꆣ움볛헟룹뻝움볛헟룹뻝움볛쒿뇪벰움볛뛔쿳뗄쳘헷ꎬ럖뇰헷톯볒펦룃짨볆퓵퇹뗄횸뇪쳥쾵ꎬ좻뫳뷸탐춳볆뒦샭ꎬ늢랴삡톯뷡맻ꎬ뺭벸싖톯뫳ꎬ죧맻볒틢볻쟷폚벯훐ꎬ퓲평ퟮ뫳튻듎톯좷뚨돶ퟮ훕뗄움볛횸뇪쳥쾵[32]ꆣ컄쿗닎뾼램쫇뷨본틑폐뗄쿠맘움볛횸뇪쳥쾵ꎬ룹뻝움볛쒿뗄릹붨ퟔ짭뗄횸뇪쳥쾵ꆣ떫볒뗷퇐램틗쫜쯹톯볒횪쪶뷡릹ꆢ쪵볹뺭퇩뫍뛔컊쳢죏쪶돌뛈뗈훷맛틲쯘뗄쿞훆ꎬ뛸컄쿗닎뾼램튲쫜쯑벯떽뗄컄쿗훖샠뫍쫽솿뗄쿞훆ꎬ늢쟒컄쿗짏뗄움볛횸뇪쳥쾵놾짭튲폐듽랢햹ꆣ 캪쇋쏖늹컄쿗닎뾼램뫍볒뗷퇐램퓚움볛횸뇪쳥쾵릹붨랽쏦뗄늻ퟣꎬ놾컄뷡뫏AHP풭샭ꎬ퓋폃뿉췘톧훐쿈랢즢뫳쫕솲뗄쇢탎쮼캬쒣쪽붨솢움볛횸뇪쳥쾵ꎬ듓뛸탎돉움볛뇪ힼ뗄뿉췘릹붨랽램ꆣ헢훖랽램뗄튻냣쮼슷쫇뷡뫏움볛쒿뇪뫍움볛뛔쿳뗄쳘뗣ꎬ퓋폃컯풪럖컶훐뗄릲럖컶뛔쫂컯뗄움볛쳘헷뷸탐랢즢ꎬ짺돉움볛횸뇪쳥쾵뗄랢즢쾵춳{C,C,Λ,C}좻뫳룹뻝튻뚨뗄쫕솲ힼ퓲ꎬ퓋폃볒톯램ꆢ12n컯풪럖컶훐뗄쳘헷쿠맘ꆢ듖닚벯뗄쫴탔풼볲틔벰쫽샭춳볆랽램훐뗄에뇰럖컶램ꆢ벫킡맣틥랽닮램ꆢ벫듳늻쿠맘램ꆢ훷돉럖램뗈랽램ꎬ뷡뫏AHP램풭샭ꎬ뛔랢즢쾵춳뷸탐쫕솲ꎬ탎돉움볛횸뇪쳥쾵뗄쫕솲쾵춳{C,C,Λ,C}(n>m)ꎬퟮ훕탎돉뫋12m탄뗄움볛횸뇪쳥쾵ꆣ움볛횸뇪쳥쾵뗄쇢탎짺돉맽돌죧쿂쏦쪾틢춼쯹쪾ꎺ CC 11풭뫋쪼탄CC 22움볛뛔쿳움볛쒿뇪횸횸Μ뇪뇪 Μ ꎨ웤훐n>mꎩ 벯벯 CC nm랢즢맽돌 쫕솲맽돌 춼2-2 움볛횸뇪쳥쾵쇢탎짺돉맽돌쪾틢춼 릲럖컶쫇듓쫂컯뗄컯훊탔ꆢ쾵춳탔ꆢ뚯첬탔뫍뛔솢탔쯄룶뷇뛈좥죏쪶쫂컯[8]ꆣ듓컯훊탔ꆢ쾵춳탔ꆢ뚯첬탔뫍뛔솢탔뾼싇쫂컯ꎬ럖뇰붫쫂컯뗄뷡릹럖캪탩 20
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 쪵ꆢ죭펲ꆢ잱쿔뫍헽뢺솽룶ퟩ돉늿럖ꆣ헢훖붨솢움볛뇪ힼ랽램뗄쳘뗣쫇뚨탔럖컶뫍뚨솿럖컶쿠뷡뫏ꎬ뛸쟒짺돉뗄움볛횸뇪쳥쾵뇈뷏쾵춳ꆢ좫쏦ꆣ듓움볛뛔쿳뗄컯훊탔ꆢ쾵춳탔ꆢ뚯첬탔뫍뛔솢탔쯄룶뷇뛈좥뾼달ꎬ뿉틔뗃떽움볛횸뇪쳥쾵뗄짺돉뿲볜[33]ꆣ움볛뛔쿳뗄릲럖컶죧쿂뇭2ꎭ1쯹쪾ꎺ 룹뻝뇭2-1뗄릲럖컶뿲볜ꎬ컒쏇뿉틔뗃떽움볛횸뇪쳥쾵뗄랢즢쾵춳ꎬ벴풭쪼횸뇪벯ꆣ떱좻룹뻝뿉췘랽램짺돉뗄풭쪼횸뇪벯ꎬ컞램좫늿싺ퟣ횸뇪릹붨뗄쒿뗄탔ꆢ쪵폃탔ꆢ뛀솢탔벰뿉닙ퟷ탔뗄풭퓲ꎬ쓇쎴듋쪱뻍튪뛔풭쪼횸뇪벯뷸탐쫕솲ꎬ듓뛸짺돉튻쳗싺ퟣ횸뇪쳥쾵짨볆풭퓲뗄뫋탄횸뇪ꆣ뛔풭쪼횸뇪벯뷸탐쫕솲뗄랽램훷튪폐ꎺ닎뾼컄쿗램ꆢ볒톯램ꆢ컯풪럖컶훐뗄쳘헷쿠맘ꆢ듖닚벯뗄쫴탔풼볲 뇭2-1 움볛횸뇪쳥쾵짺돉뗄릲럖컶뿲볜 쪵늿 탩늿 펲늿 죭늿 릹돉튪쯘ꎻ랢햹뗄릹돉뗄뿕볤ꎻꆰ쏻웸ꆱꎻퟩ돉늿럖ꎻ 룷룶ퟩ돉늿럖뷡릹ꆢ쿠뮥횮뷡맻ꎻ ꆭ ꆭ 볤뗄킭뗷탔틔벰폫췢늿쾵ꆭ 춳횮볤뗄솪쾵ꎻ ꆭ 움볛뛔쿳 쿔늿 잱늿 헽늿 뢺늿 틑뺭뇭쿖돶살뗄캴뇭쿖뗄탔훊ꆢ쳘헷ꎻ폅뗣ꎻ뛔훜캧쿠맘좱뗣ꎻ뢺쏦펰쿬ꎻ 탔훊ꆢ쳘헷ꎻ틑랢풤웚킧맻ꎻ잱퓚펰쿬ꎻ쫂컯뗄헽쏦펰쿬ꆭ 믓뗄ퟷ폃ꆢ펰쿬ꎻ ꆭ ꆭ ꆭ 틔벰쫽샭춳볆랽램훐뗄에뇰럖컶램ꆢ벫킡맣틥랽닮램ꆢ벫듳늻쿠맘램ꆢ훷돉럖램뗈랽램ꆣ컯풪럖컶훐뗄쳘헷쿠맘탔쫇춨맽럖컶컯풪뗄쳘헷ꎬ좥뗴폫쒿뇪컯풪쳘헷늻쿠맘뗄횸뇪ꆣ듖닚벯뗄쫴탔풼볲뻍쫇퓚놣돖탅쾢쾵춳럖샠쓜솦늻뇤뗄믹뒡짏ꎬ즾돽죟폠믲헟뿉틔뫶싔뗄횪쪶ꎬ듓뛸뿉틔쪵쿖뛔풭쪼횸뇪벯뗄쫕솲[34]ꆣ쫽샭춳볆랽램쫇듓쫽뻝럖컶돶랢ꎬ폃춳볆톧뗄랽램톡좡폐듺뇭탔뗄횸뇪[35]ꆣ뛔횸뇪쫕솲뫳,뿉틔뷡뫏AHP램풭샭ꎬ뗃떽닣듎뮯뗄움볛횸뇪쳥쾵ꆣ 21
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 뗚죽헂 믹폚컯풪쒣탍뗄막욱쫐뎡ퟜ쳥ힴ뿶럖컶 막욱쫐뎡쯘폐ꆰ맺쏱뺭볃쟧폪뇭ꆱ횮돆ꎬ헢쮵쏷막쫐탐쟩뗄뇤뮯쟷쫆믹놾짏평뺭볃랢햹쟷쫆뻶뚨ꎬ폖쮵쏷막쫐탐쟩뛔뺭볃뻟폐뎬잰탔ꆣ쯹틔퇐뺿막쫐탐쟩뛔막욱춶럖컶틔벰춶닟싔뗄톡퓱뻟폐훘튪틢틥ꆣ 놾헂닉폃컄쿗[19]훐막쫐ힴ뿶뗄컯풪쒣탍살랴펳컒맺떱잰뗄막쫐퓋탐뗄ퟜ쳥ힴ뿶ꎬ늢퓋폃룃컄쿗훐뗄막쫐럧쿕럖컶쒣탍살쮵쏷막볛횸쫽뗄쳘뗣ꎬ에뛏웤퓚춶뗄낲좫폲뮹쫇럧쿕폲ꎬ듓뛸뻶뚨막욱춶뗄닟싔톡퓱ꆣ 막쫐ힴ뿶뗄컯풪쒣탍벰웤뿉탐탔 펰쿬막욱볛룱뗄틲쯘훷튪폐맺볒뺭볃ힴ뿶ꆢ믵뇒헾닟ꆢ틸탐듦듻뿮샻싊ꆢ춨믵엲헍ꆢ웚믵쫐뎡뗄ힴ뿶ꆢ릫쮾럖뫬쟩뿶ꆢ럧쿕쮮욽ꆢ막욱뗄릩쟳쟩뿶ꆢ춶헟뗄탄샭믮뚯뫍춶믺탐캪뗈ꆣ틲맺볒뺭볃ힴ뿶ꆢ춨믵엲헍ꆢ틸탐듦듻뿮샻싊ꆢ릫쮾럖뫬쟩뿶벰럧쿕쮮욽뿉횱뷓평막볛횸쫽랴펳ꎬ웤폠뿉맩뷡캪믹놾쏦ꆢ헾닟쏦ꆢ쿻쾢쏦뗈틲쯘뗄펰쿬ꆣ맊뛔막쫐ힴ뿶붨솢죧쿂컯풪쒣탍ꎨ놾뷚쯹폃럻뫅뫍쫵폯뗄틢틥뻹폫컄쿗[34]쿠춬ꎩꎺ N(t)cx(t)N(t)t1짨뇭쪾쪱뿌뗄막쫐ꎬ뇭쪾믹놾쏦ꆢ헾닟쏦ꆢ쿻쾢쏦틲쯘ꎬ뇭쪾ccy(t)N(t)c122맘폚쳘헷쯹좡뗄솿횵ꎬ뇭쪾막볛횸쫽ꎬ뇭쪾맘폚쳘헷쯹좡뗄솿t횵ꆣ퓚쪱뿌뗄막쫐ힴ뿶뿉폃뚯첬컯풪뇭쫶캪ꎺ N(t)cx(t)R(t)11R(t)==N(t)cy(t)R(t)21 맺볒뛔막쫐뗄헾닟탔뗷뿘뿉폃컯풪뇤뮻살쏨쫶ꆣ죴떱잰막횸첫룟믲첫뗍ꎬ맺TT12볒뇣뿉춨맽헾닟뗷헻쪹막횸뎯쿠랴뗄랽쿲뇤뚯ꆣ헢뿉폃컯풪컯풪뒫떼뇤뮻ꆢ살쏨쫶ꎺ ′R(t)=TR(t)=(N(t),c,x)T⇐T1111011121ꎬ ′R(t)=TR(t)=(N(t),c,y)21220121ꆣ ycϕ⇐ee111쯦ퟅ막횸뇤캪ꎬ뗄솿횵폖믡랢짺뇤뮯ꎬ벴폐ꎨ캪떥캻컯풪뇤뮻ꎩꎬ쪹 ′′′R(t)=ϕR(t)=(N(t),c,x)12111212ꎬ ′′′R(t)=eR(t)=(N(t),c,y)2221211ꆣ 22
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 c1ퟮ훕ꎬ캪얤막쫐뻖쏦뛸닉좡뗄쇙쪱탔듫쪩믡뷡쫸ꎬ뗄솿횵폖믘떽ퟮ돵쮮x(t)ψψ012욽ꎬ뛸막횸틑랢짺쇋뇤뮯ꎬ벴폐컯풪뇤뮻ꎬꎬ쪹 ′′R(t)=ψR(t)=(N(t),c,x(t))ψ⇐ψ11121021ꎬ ′′R(t)=ψR(t)=(N(t),c,y(t))22222ꆣ T=(T,T)ϕ=(ϕ,e)ψ=(ψ,ψ)12112쇮ꎬꎬꎬ퓲맺볒샻폃헾닟뗷뿘막볛뗄랽쪽ψϕT뿉폃컯풪뗄쮫럱뇤뮻뇭쫶캪ꎺ N(t)cx(t)10R(t)==ψϕTR(t)0N(t)cy(t)2 듓컒맺막욱쫐뎡붨솢틔살ꎬ헫뛔막욱쫐뎡돶첨뗄쿠맘헾닟떼훂뮦짮솽쫐뗄뇤뮯ힴ뿶뿉쮵쏷틔짏쒣탍뗄뫏샭탔ꆣ 믹폚럧쿕럖컶뗄막쫐춶닟싔톡퓱쒣탍 룹뻝컯풪R(t)ꎬR(t)뗄쳘뗣ꎬ컄쿗[6]훐붨솢뗄맘솪몯쫽틑늻쫊폃ꎬ컒쏇붫12릹퓬솽샠탂뗄맘솪몯쫽ꆣ평폚쳘헷c뗄솿횵쫇럇쫽솿뮯뗄ꎬ캪뷸탐뚨솿럖컶ꎬ룹1뻝뇪뛈램뗄쮼쿫ꎬ붫c뗄솿횵럖캪9룶뗈벶ꎬ붨솢R(t)뗄맘솪몯쫽11k(x)ꎬ죧뇭3-1쯹쪾ꆣ 1뇭3-1 막쫐컯풪믹놾쏦ꆢ헾닟쏦ꆢ쿻쾢쏦틲쯘맘솪몯쫽 x 쳘듳샻뿕 훘듳샻뿕 뷏듳샻뿕훐탔욫뿕훐탔 훐탔욫뛠뷏듳샻뛠훘듳샻뛠 쳘듳샻뛠 k(x)ꎭ4 ꎭ3 ꎭ2 ꎭ1 0 1 2 3 4 1쿂쏦붨솢R(t)뗄맘솪몯쫽ꆣ짨짏쓪욽뻹막횸캪xꎬ막횸뇪ힼ캪σꆣ죴놾쓪2뛈맺볒뺭볃ힴ뿶ꆢ샻싊뇤뮯뗈뛔짏쫐릫쮾뗄펰쿬뫍짏쓪쿠춬ꎬ뻝쫽샭춳볆훐닎쫽뗄쟸볤맀볆ꎬ뷱쓪욽뻹막횸µ펦틔훃탅뛈1−α실퓚쟸볤(x−σ/(nZ),x+σ/(nZ))쓚ꎨ웤훐n쫇짏쓪붻틗죕쫽ꎬZ쫇뇪ힼ헽첬럖늼ααα222뗄쮫닠α냙럖캻뗣ꎩꆣ죴뷱쓪맺볒뺭볃ힴ뿶ꆢ샻싊뇤뚯뗈뛔짏쫐릫쮾뗄펰쿬폐쯹룄뇤ꎬ퓲헢훖룄뇤뿉듓릫쮾뗄쫕틦뇤뮯훐랴펳돶살ꆣ짨짏쫐릫쮾짏쓪욽뻹뺻닺쫕틦싊캪βꎬ뷱쓪욽뻹뺻닺쫕틦싊뗄풤닢횵캪βꎨ헢뿉듓룷짏쫐릫쮾뗄짏쓪01 23
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 쓪뛈놨룦훐랴펳ꎩꎬ죴늻뾼싇믹놾쏦ꆢ헾닟쏦뗈틲쯘뗄펰쿬ꎬ뷱쓪욽뻹막횸µ펦틔훃탅뛈1−α실퓚쟸볤β/β(x±σ/(nZ))쓚ꆣ 10α2쇮a=β/β(x−Zσ/n)ꎬb=β/β(x+Zσ/n)ꎬc=xβ/βꎬ퓲 10α10α1022c=(a+b)/2ꆣ쿖볙짨ꎬµ∈(a,b)쟒µ좡c뗄뿉쓜탔ퟮ듳ꆣ평컄쿗[36]훐쳖싛ꎬ뿉뗃µ럾듓[a,b]쓚β−럖늼ꎬ벴µ뗄쏜뛈몯쫽캪ꎺ 3377!(x−a)(b−x)/[36(b−a)],a≤x≤bβ(x)= () 0,웤쯻뛔죎틢뗄0<µ<cꎬ폐ꎺ cc3333(x−a)(b−x)dx≥(b−c)(x−a)dx ∫∫µµ344=(b−c)[(c−a)−(µ−a)]/4 bP=(µ≥µ)=β(x)dx≥쇮ꎬ평짏쪽뿉췆돶µ≤+ꎬ벴폐∫µ70ꎥ뗄냑컕뿉뛏뚨뷱쓪욽뻹막횸캪ꎺ µ≥µ=+=(x−σ/n)β/βꆣ 0α102죴볙뚨(x−µ)/(σ/n)~t(n−1)ꎬ틠뿉폃떥닠훃탅쟸볤뗃돶샠쯆뷡싛ꆣ 222짨막횸ξ캪쯦믺뇤솿ꎬ쟒E(ξ)=xβ/βꎬD(ξ)=σβ/βꆣ평Chebyshev1010늻뗈쪽 2222P(ξ−xβ/β≤ε)≥1−σβ/(εβ) 10102뿉뗃떽샭싛ퟮ룟막횸M뫍샭싛ퟮ뗍막횸mꆣ죧쇮[βσ/(εβ)]=ꎬ뿉뗃ꎺ 10ε=βσ/(β)ꎬM=(x+σ)β/βꎬm=(x−σ)β/βꆣ 101010쿖틔µ캪쇣뷧ꎬ뾼싇떽k(y)뗄뇤뮯쟷쫆벰ퟮ횵펦폫k(x)튻훂ꎬ맊릹퓬R(t)0212뗄맘솪몯쫽k(y)캪ꎺ 234(µ−y)/(µ−m),y≤µ000k(y)= () 23−4(y−µ)/(M−µ),y>µ000폐쇋R(t)ꎬR(t)뗄맘솪몯쫽ꎬ쿂쏦컒쏇살뚨틥R(t)뗄맘솪몯쫽ꆣ힢틢틔쿂12 24
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 쫂쪵ꎺ떱막횸뷏룟ꎨk(y)<0ꎩ쪱ꎬ죴돶샻뿕쿻쾢ꎨk(x)<0ꎩꎬ퓲룃쿻쾢뛔막21쫐펰쿬뷏듳ꎬ벴쳘헷c웰뗄ퟷ폃듳ꎻ죴돶샻뛠쿻쾢ꎨk(x)>0ꎩꎬ퓲뛔막쫐펰쿬11뷏킡ꆣ뛸떱막횸뷏뗍ꎨk(y)>0ꎩ쪱ꎬ퓲쿠랴ꆣ틠벴ꎬ떱k(x)k(y)>0ꎬ쳘헷c2121웰뗄ퟷ폃듳ꎬ떱k(x)k(y)<0ꎬ쳘헷c웰뗄ퟷ폃킡ꆣ믹폚듋ꎬ짨f(x)쫇헢퇹튻121룶몯쫽ꎺ떱x>0ꎬf(x)>1/2ꎬ떱x<0ꎬf(x)<1/2ꎬ떱x=0ꎬf(x)=1/2ꎬ쟒f(16)=1ꎬf(−16)=−1ꎬ−16≤x≤16ꎬ뿉뚨틥ꎺ k(R(t))=f(k(x)k(y))k(x)+(1−f(k(x)k(y)))k(y) () 121122퓚짏쪽훐ꎬ떱톡좡늻춬뗄f(x)쪱ꎬ뇣뿉뗃떽R(t)늻춬뗄맘솪몯쫽ꆣ퓚컄쿗[46]훐ꎬk(x)ꆢk(y)ꆢk(R(t))뗄뇭듯쪽놻돆캪막쫐럧쿕럖컶쒣탍ꆣ퓚놾컄훐컒쏇붫12웤ퟷ캪막쫐춶쪱믺뗄에뛏쒣탍뫍춶닟싔뗄톡퓱쒣탍ꆣ 1ꎩ떱k(R(t))>1쪱ꎬ돆웤캪막쫐낲좫폲ꎬ듋쪱틋붨닖믲돖닖듯1/2틔짏ꆣ 2ꎩ떱0<k(R(t))≤1쪱ꎬ돆웤캪막쫐쿠뛔낲좫폲ꎬ듋쪱틋훰늽붨닖믲돖닖솿퓚1/2ퟳ폒ꆣ 3ꎩ떱k(R(t))=0ꎬ돆웤캪막쫐뗄럧쿕쇙뷧ꎬ듋쪱춶헟펦룹뻝웤럧쿕ꎭ쫕틦쳘헷듓쫐뎡뫍룶막탐쟩돶랢뫏샭뗷헻닖캻ꆣ 4ꎩ떱−1≤k(R(t))<0쪱ꎬ돆막쫐쿠뛔럧쿕폲ꎬ듋쪱뿉돖막맛췻믲싴돶막욱ꎬ떫늻틋붨닖ꆣ 5ꎩ떱k(R(t))<−1쪱ꎬ돆막쫐럧쿕폲ꎬ듋쪱틋쟥닖믲쪵탐청죵쇴잿뗄닟싔ꎬ톡퓱뻟폐짏짽잱솦뗄룶막뮻닖닙ퟷꎬ뗷헻춶ퟩ뫏ꎬ듓뛸믘뇜럧쿕ꆣ 쪵횤럖컶 쫽뻝살풴폫뒦샭 놾헂쫇뛔컒맺막욱쫐뎡ퟜ쳥퓋탐ힴ뿶뷸탐럖컶ꆣ짏컄뗄쳖싛훐컒쏇횪뗀ꎬ춨맽뛔막쫐춶뗄럧쿕ힴ뿶뷸탐럖컶ꎬ뿉틔냯훺훆뚨헽좷뗄춶닟싔ꆣ퓚쪵횤럖컶훐ꎬ컒쏇틔쳬캪쪱볤떥캻ꆣ뾼싇떽쪱킧탔뫍뇣폚뇈뷏ꎬ컒쏇틔2008쓪4퓂뫍9퓂뗄짏몣막쫐ힴ뿶뷸탐럧쿕럖컶ꆣ막볛횸쫽톡좡쎿쳬뗄쫕엌횸쫽ퟷ캪퇹놾ꆣ쫽뻝 25
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 살풴캪듳훇믛죭볾ꆣ 막쫐ힴ뿶뗄럧쿕럖컶 퓚짏컄뗄쒣탍훐ꎬ컒쏇좡f(x)=1/2+x/32ꎬ뇣뗃ꎺ k(R(t))=(1/2+k(x)k(y)/32)k(x)+(1/2−k(x)k(y)/32))k(y) 121122 =1/2[k(x)+k(y)+1/16k(x)k(y)(k(x)−k(y))] () 121212춬쪱ꎬ캪쇋뇣폚럖컶ꎬ볙뚨β=β(쫂쪵짏ꎬ듓맺볒믵뇒헾닟ꆢGDP퓶뎤싊ꆢCPI10뗈랽쏦뾴ꎬ뷼벸쓪훐맺뺭볃퓋탐쿠뛔뷏컈뚨ꎬퟜ쳥짏짏쫐릫쮾뗄욽뻹뺻닺쫕틦싊쿠뛔돖욽ꎬ맊뿉ퟶ짏쏦볙짨)ꆣ좡α=(Z=)ꎬ2007쓪뮦쫐막횸욽뻹α2횵x=ꎬ막횸뇪ힼ닮σ=ꎬn=242ꎬ뿉뗃µ=ε=σ/=ꎬm=ꎨ틲막횸늻뿉쓜쫇뢺횵ꎬ헢샯0좡뻸뛔횵ꎩꎬM=ꆣ듓뛸뗃떽2008쓪막횸컯풪R(t)뗄맘솪몯쫽캪ꎺ 234(−y)/,y≤k(y)= () 23−4(y−)/,y> 샻폃볒톯뗄랽램뛔9퓂뫍4퓂룷룶붻틗죕뗄믹놾쏦ꆢ헾닟쏦벰쿻쾢쏦뗈틲쯘뷸탐에뛏ꎬ듓뛸뗃떽c뗄솿횵k(x)ꆣ훁듋ꎬ컒쏇뻍뿉틔샻폃릫쪽()닢쯣112008쓪9퓂뫍4퓂룷룶붻틗죕막쫐ힴ뿶뚯첬컯풪뗄맘솪뛈쇋ꎬ볆쯣뷡맻죧쿂뇭3-2뫍뇭3-3쯹쪾ꎺ 뇭3-2 2008쓪9퓂뮦쫐럧쿕럖컶뇭 붻틗죕 쫕엌횸쫽 k(x) k(y) k(R(t))122008-9-26 1 2008-9-25 0 2008-9-24 -1 2008-9-23 -3 2008-9-22 0 2008-9-19 2 2008-9-18 -4 2008-9-17 0 2008-9-16 0 26
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 2008-9-12 -3 2008-9-11 -2 2008-9-10 -3 2008-9-9 -3 2008-9-8 0 2008-9-5 -2 2008-9-4 -2 2008-9-3 -1 2008-9-2 -1 2008-9-1 -2 뇭3-3 2008쓪4퓂뮦쫐럧쿕럖컶뇭 붻틗죕 쫕엌횸쫽 kRt k(x) k(y) (())122008-4-30 -2 2008-4-29 -2 2008-4-28 -1 2008-4-25 -1 2008-4-24 2 2008-4-23 -3 2008-4-22 -1 2008-4-21 -1 2008-4-18 -1 2008-4-17 -1 2008-4-16 -1 2008-4-15 -3 2008-4-14 -2 2008-4-11 -1 2008-4-10 -1 2008-4-9 -3 2008-4-8 -1 2008-4-7 -3 2008-4-3 -1 2008-4-2 -3 27
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 2008-4-1 -3 듓짏쏦솽뇭컒쏇뿉틔뾴돶ꎬ9퓂럝룷룶붻틗죕막쫐컯풪맘솪뛈뗄욽뻹횵캪ꎬ뇪ힼ닮캪ꎬ쮵쏷9퓂룷룶붻틗죕막쫐컯풪맘솪뛈뇈뷏벯훐ꎬ쿠닮늻듳ꆣ4퓂럝룷룶붻틗죕막쫐컯풪맘솪뛈뗄욽뻹횵캪ꎬ뇪ힼ닮캪ꎬ쮵쏷4퓂룷룶붻틗죕막쫐컯풪맘솪뛈튲뇈뷏벯훐ꆣ듓9퓂뫍4퓂뇈뷏살뾴ꎬ9퓂룷룶붻틗죕막쫐컯풪맘솪뛈욽뻹횵뇈4퓂뗄듳ꎬ쮵쏷9퓂뗄뫪맛춶뮷뺳뇈4퓂튪뫃ꆣ듋췢ꎬ9퓂럝룷룶붻틗죕막쫐컯풪맘솪뛈뚼듳폚1ꎬ막쫐뒦폚낲좫폲ꎬ듋쪱쫊틋훰늽붨닖믲돖닖솿퓚1/2틔짏ꎬ4퓂듳뛠쫽붻틗죕막쫐컯풪맘솪뛈뚼뒦폚0뫍1횮볤ꎬ막쫐뒦폚쿠뛔낲좫폲ꎬ듋쪱튲틋훰늽붨닖믲돖닖퓚1/2ퟳ폒ꆣ 쿂쏦뻟쳥뗘살럖컶튻쿂벸룶쳘뚨붻틗죕뗄막쫐ힴ뿶ꆣ 9퓂19죕ꎬ뺭맺컱풺엺ힼꎬ닆헾늿뻶뚨뛔횤좯붻틗펡뮨쮰헾닟뷸탐뗷헻ꎬ평쿖탐쮫뇟헷쫕룄캪떥뇟헷쫕ꎬ쮰싊놣돖1ꇫꆣ벴뛔싲싴ꆢ볌돐ꆢ퓹폫쯹쫩솢뗄A막ꆢB막막좨죃쫩뻝ꎬ평솢뻝쮫랽떱쫂죋럖뇰내1ꇫ뗄쮰싊뷉쓉막욱붻틗펡뮨쮰ꎬ룄캪평돶죃랽내1ꇫ뗄쮰싊뷉쓉막욱붻틗펡뮨쮰ꎬ쫚죃랽늻퓙헷쫕ꆣ쇭튻랽쏦ꎬ막쫐튻횱췇쏒ꎬ헾뢮헢룶뻙듫쓜듓뛠듳돌뛈짏췆뚯막쫐짏탐ꎬ뫳맻쓑틔풤쇏ꆣ볒붫듋죕뗄믹놾쏦ꆢ헾닟쏦벰쿻쾢쏦틲쯘ퟛ뫏에뚨캪뷏듳샻뫃ꎬk(x)=2ꎬ떱죕쫕엌횸쫽캪뗣ꎬ평쪽()볆쯣돶1k()=ꆣ평쪽()뗃돶k(R(t))=ꎬR(t)캻폚낲좫폲ꆣ듓쒳2훖틢틥짏쮵ꎬ헢훖에뛏쫇뫏샭뗄ꆣ 9퓂26죕ꎬ헢쫇맺쟬뷚뎤볙잰뗄ퟮ뫳튻룶붻틗죕ꆣ쯤좻떱죕쏀맺맺믡풭퓲짏춨맽쇋7000틚쏀풪뗄뻈쫐볆뮮ꎬ떱뎤볙웚볤뗄늻좷뚨탔튲럇뎣쏷쿔ꆣ볒늢쎻폐맽럖샖맛ꎬ붫듋죕뗄믹놾쏦ꆢ헾닟쏦벰쿻쾢쏦틲쯘ퟛ뫏에뚨캪훐탔욫뛠ꎬk(x)=1ꎬ떱죕쫕엌횸쫽캪뗣ꎬ평쪽()뗃돶k(R(t))=ꎬR(t)죔1좻캻폚낲좫폲ꆣ 4퓂24죕ꎬ뺭맺컱풺엺ힼꎬ닆헾늿ꆢ맺볒쮰컱ퟜ뻖뻶뚨ꎬ듓벴죕웰횤좯ꎨ막욱ꎩ붻틗펡뮨쮰쮰싊평쿖탐뗄3ꇫ뗷헻캪1ꇫꆣ벴뛔싲싴ꆢ볌돐ꆢ퓹폨쯹쫩솢뗄A막ꆢB막막좨죃쫽뻝ꎬ평솢뻝쮫랽떱쫂죋럖뇰내1ꇫ뗄쮰싊뷉쓉횤좯붻틗펡뮨쮰ꆣ볒붫듋죕뗄믹놾쏦ꆢ헾닟쏦벰쿻쾢쏦틲쯘ퟛ뫏에뚨캪뷏듳샻뫃ꎬk(x)=2ꎬ떱죕쫕엌횸쫽캪뗣ꎬ평쪽()뗃돶1k(R(t))=ꎬ뇈9퓂19죕맘솪뛈싔킡ꎬR(t)튲캻폚낲좫폲ꆣ쯤좻막쫐튻슷쿂뗸ꎬ떫듓쒳훖틢틥짏쮵ꎬ헢훖에뛏튲쫇뫏샭뗄ꆣ2007쓪뮦쫐욽뻹막횸 28
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 x=ꎬ떱죕뗣뗄막횸풶뗍폚2007쓪뗄욽뻹횵ꎬ뻍솬쏀맺훸쏻춶듳쪦싞뷜쮹4퓂럝튲듳뫴춶A막ꎬ닙뗗훐맺ꆣ 4퓂23죕ꎬ헢쫇닆헾늿쿂뗷펡뮨쮰뗄잰튻룶붻틗죕ꎬ맺볊폍볛튻뛈돥웆118쏀풪ꎬ믹뷰늻뛏복닖ꎬ쫐뎡튻욬뻈쫐뫴짹ꎬ볒붫떱죕뗄믹놾쏦ꆢ헾닟쏦벰쿻쾢쏦틲쯘ퟛ뫏에뚨캪뷏듳샻뫃ꎬk(x)=−3ꎬ떱죕쫕엌횸쫽캪뗣ꎬ평1쪽()뗃돶k(R(t))=ꎬR(t)튲캻폚쿠뛔낲좫폲ꆣ 29
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 뗚쯄헂 믹폚뿉췘벯뗄막욱춶톡퓱 뗚죽헂훐놾컄쳖싛쇋퓚막욱춶맽돌훐뗄춶쪱믺뗄톡퓱ꎬ룸돶쇋톡퓱뇈뷏낲좫뗄춶쪱믺뗄랽램ꆣ떫쫇퓚튻룶뫃뗄춶뮷뺳쿂ꎬ튲늻쫇쎿튻횻막욱뚼횵뗃춶ꎬ뮹튪뛔막욱쫐뎡훐훚뛠막욱뷸탐즸톡ꎬ톡퓱ퟮ횵뗃춶뗄막욱ꆣ놾헂뫍쿂튻헂뻍훘뗣쮵쏷막욱톡퓱컊쳢ꆣ 톡퓱뻟폐춶볛횵뗄막욱ꎬ쫗쿈뾼싇뗄뻍쫇볛룱컊쳢ꆣ욲뾪볛룱좥첸싛볛횵쫇쎻폐죎뫎틢틥뗄ꆣ뺿뺹퓵퇹뗄막욱닅횵뗃춶ꎬ맺쓚췢뮹쎻폐튻룶춳튻뗄에뛏뇪ힼꆣ막욱뗄춶볛횵쫇틔웳튵볛횵캪믹뒡뗄ꎬ맺췢뒫춳뗄웳튵볛횵맀볛랽램럖캪죽훖:쓚퓚볛횵램ꆢ쿠뛔볛횵램뫍쫕릺볛횵램ꆣ쓚퓚볛횵램죏캪튻볒웳튵뗄볛횵뗈폚웤캴살막샻믲쿖뷰쇷뗄뺻쿖횵ꆣ쓚퓚볛횵램샭싛짏쫇뫏샭뿆톧뗄ꎬ떫쯼맽폚틀삵늻좷뚨뗄풤웚틲쯘ꎬ뛔폚듽맀볛릫쮾캴살뺿뺹내뫎훖슷뺶퓶뎤ꆢ퓶뎤쯙뛈죧뫎ꎬ헢훖퓶뎤뗄럧쿕뫍늻좷뚨탔폐뛠듳ꎬ듓뛸춶헟튪쟳뗄럧쿕틧볛믲쳹쿖싊폐뛠룟뗈뗈ꎬ늻춬럖컶쪦폐늻춬짵훁쿠랴뗄뾴램ꎬ틲뛸훷맛탔쯦틢탔뫜듳ꎬ늻뻟폐첫듳뗄쿖쪵틢틥ꆣ뗚뛾훖쿠뛔쿠뛔볛횵움맀램퓲죏캪막욱컞쯹캽쓚퓚볛횵ꎬ믲헟벴쪹폐튲컞듓냑컕ꎬ뛸횻폐쿠뛔볛횵닅폐쿖쪵틢틥ꎬ쯼냑뛔뇈ퟷ캪좷뚨볛횵뗄믹뒡ꎬ샭평뫜볲떥:죧맻벸볒릫쮾믹놾쫴탔ꆢ듓쫂뗄튵컱쿠춬믲쿠뷼ꎬ쓇쎴쯼쏇펦럻뫏쿠춬뗄맀횵돟뛈ꎬ퓚쪵볊맀횵에뛏훐ꎬퟮ뎣볻뗄맀횵돟뛈믲맀횵닎쫽쫇쫐펯싊(P/E)ꎬ웤쯻맀횵돟뛈뮹폐:볛룱/뺻닺ꎬ볛룱/쿺쫛뛮ꎬ볛룱/쾢쮰잰뺻샻죳뗈뗈ꎻ쫕릺맀횵램쫇뛔쓚퓚볛횵램뫍쿠뛔볛횵램뗄늹돤ꎬ펦폃랶캧쿁킡뗃뛠ꎬ쯼쫇횸퓚릺늢쫐뎡짏ꎬ튻볒릫쮾쿠뛔폚쇭튻볒펪퓋훐뗄웳튵뫍룜룋쫕릺헟뛸퇔ꎬ듦퓚튻룶ퟮ킡볛횵ꎬ횤좯럖컶쪦퓚맀볛쪱틔헢튻볛횵캪믹뒡ꎬ퓙듲짏튻뚨헛뿛ꎬ살좷뚨룃릫쮾뗄춶볛횵ꆣ 놾컄쿂쏦뗄럖컶틔톡퓱뫏쫊볛횵에뛏횸뇪캪믹뒡ꎬ퓋폃뿉췘벯샭싛살쳖싛막욱춶훐막욱뗄톡퓱컊쳢ꎬ듓뛸톡퓱폐춶볛횵뗄막욱ꆣ 횸뇪뗄톡퓱 쒿잰막욱쿠뛔볛횵맀볛뗄횸뇪훷튪폐ꎺ쫐펯싊ꆢ쫐뺻싊ꆢ볛룱/쿺쫛뛮ꎬ볛룱/쾢쮰잰뺻샻죳뗈뗈ꆣ쫐펯싊쯤좻뎣폃ꎬ떫뾼싇떽쫐펯싊뗄볆쯣틔뺻샻죳뫍쎿막쫕틦캪믹뒡ꎬ뛔폚튻킩펯샻횸뇪캪뢺쫽뗄막욱살붲쫐펯싊컞램볆쯣ꎬ컒쏇톡퓱틔쿂벸룶횸뇪ꆣ ꎨ1ꎩ쫐뺻싊ꆣ쫐뺻싊ꎽ쎿막쫐볛/ퟮ뷼뗄쎿막뺻닺ꎬ튲뷐췐뇶q횸뇪ꆣ쏀맺뺭볃톧볒낲뗂슳ꆤ쪷쏜즪쮹죏캪ꎬq횵뻍쿱떯믉ꎬ붫막쫐삭쿲쯼뗄쓚퓚볛횵캻훃ꆣ룃쿮횸뇪듺뇭막욱뗄볛룱폫웤헋쏦횵뗄놳샫돌뛈ꎬ쫐뺻싊맽룟뿉쓜랴펳쇋릫 30
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 쮾뗄볛횵놻쫐뎡맽룟맀볆ꎬ쯹틔룃쿮횸뇪뎣폃살뿘훆럧쿕ꎬ늢쟒퓚쫐뎡뒦폚쟥떭쪱뷏캪뎣폃ꆣ놾컄헢샯폃쯼살ퟷ캪볛횵에뛏뗄튻룶닎뾼횸뇪ꆣ ꎨ2ꎩ짏쫐틔살뗄욽뻹막볛ꆣ퓚춳볆톧훐ꎬ욽뻹횵랴펳쇋횸뇪벯훐럖늼뗄벯훐쟷쫆ꆣ춬퇹뗘ꎬퟷ헟죏캪짏쫐틔살뗄욽뻹막볛튲랴펳쇋막욱듓짏쫐틔살막욱볛룱뗄벯훐쟷쫆ꎬ뿉틔붫웤ퟷ캪볛횵뗄튻훖에뛏ꆣ ꎨ3ꎩ짏쓪뛈욽뻹막볛ꆣ퓚쪵볊춶럖컶훐ꎬ막욱뗄짏쓪뻹볛컞틉뻟폐뫜듳뗄닎뾼볛횵ꎬ쯼랴펳쇋퓚맽좥뗄튻쓪훐막볛뇤뮯뗄벯훐쟷쫆ꆣ 쒣탍뗄붨솢 벯뫏쫇쏨쫶죋쓔뛔뿍맛쫂컯뗄쪶뇰뫍럖샠뗄쫽톧랽램ꆣ뿍맛쫂컯쫇뢴퓓뗄ꎬ뒦폚늻뛏퓋뚯뫍뇤뮯횮훐ꆣ틲듋ꎬ죋쓔쮼캬뛔뿍맛쫂컯뗄쪶뇰뫍럖샠늢늻쫇횻폐튻훖쒣쪽ꎬ뛸쫇뛠훖뛠퇹뗄ꆣ뿉췘벯쏨쫶뗄쫇쫂컯뗄뿉뇤탔ꎬ폃(−∞,+∞)훐뗄쫽살쏨쫶쫂컯뻟폐쒳훖탔훊뗄돌뛈ꎬ폃뿉췘폲쏨쫶쫂컯ꆰ쫇ꆱ폫ꆰ럇ꆱ뗄쿠뮥뮯ꆣ본폚뿉췘벯뗄헢킩쳘탔폫막욱춶폐뫜듳뗄쿠쯆탔ꎬ헽뫃뿉틔붫뿉췘벯퓋폃폚막욱쫇럱횵뗃춶뗄에뛏ꆣ쿂쏦붨솢뿉춶막욱뗄뿉췘벯ꆣ 짨U캪듽톡막욱뗄싛폲ꎬK쫇싛폲U떽쪵폲I뗄튻룶펳짤ꎬ돆 ~A={(u,y)|u∈U,y=K(u)} ~~캪싛폲U짏뗄튻룶뿉췘벯뫏ꆣy=K(u)캪A뗄맘솪몯쫽ꎬK(u)캪u맘폚A뗄맘솪뛈ꆣ돆 A={u|u∈U,K(u)≥0} ~캪A뗄헽폲ꎬ쯼쫇뿉춶막욱뗄벯뫏ꆣK(u)≥0쫇막욱춶뗄낲좫폲ꆣ A={u|u∈U,K(u)≤0} ~캪A뗄뢺폲ꎬ쯼쫇늻뿉춶막욱뗄벯뫏ꆣK(u)≤0쫇막욱춶뗄럧쿕폲ꆣ ~ J(A)={u|u∈U,K(u)=0} 0~캪A뗄쇣뷧ꆣ쿔좻ꎬ죴u∈Jꎬ퓲u∈Aꎬ춬쪱ꎬu∈AꆣK(u)=0쫇막욱춶뗄0쿠뛔낲좫폲ꆣ 횸뇪뗄맘솪몯쫽릹붨 1ꆢ쫐뺻싊뗄맘솪몯쫽 뛔폚쒳횻막욱뛸퇔ꎬ쎿막뺻닺쫇막욱뗄헋쏦볛횵ꎬ쯼쫇폃돉놾볆솿뗄ꎬ뛸쎿막쫐볛쫇헢킩닺뗄쿖퓚볛횵ꎬ쯼쫇횤좯쫐뎡짏붻틗뗄뷡맻ꆣ쫐볛룟폚헋쏦볛 31
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 횵쪱웳튵닺뷏뫃ꎬ폐랢햹잱솦ꎬ떫쫇쇭튻랽쏦ꎬ뛔폚춶헟뛸퇔ꎬ쫐볛맽룟튲틢캶헟뷏룟뗄춶돉놾ꎬ믱샻뗄럧쿕튲뷏듳ꎻ쿠랴쫐볛뗍폚헋쏦볛횵쪱믲웳튵닺훊솿닮ꎬ믲볛횵놻뗍맀ꆣ뛔폚춶헟뛸퇔ꎬ쫐볛뗍틢캶ퟅ뷏뗍뗄춶돉놾ꎬ믱샻뗄럧쿕쿠뛔뷏킡ꆣ샭싛짏ꎬ쫐뺻싊뗄쟸볤캪(0,+∞)ꎨ떱좻튲뮹폐늿럖ST릫쮾뗄쎿막뺻닺쫇뢺횵뗄ꎬ퓚뒦샭훐ꎬ컒쏇횱뷓붫웤맩캪뿉춶막욱벯뫏ꎬ퓙뷡뫏쿂헂뗄랽램ퟛ뫏뾼싇쫇럱춶룃막욱ꎩꎬ떫뾼싇떽볆쯣랽뇣뫍쒣탍뗄탨튪ꎬ컒쏇헢샯좷뚨쫐뺻싊뗄뺭뗤폲캪〈0,1〉ꎬ뷚폲캪〈0,10〉ꎬ뛔폚쫐뺻싊뎬맽10뗄막욱ꎬ붫웤쫐뺻싊내10볆쯣맘솪몯쫽ꆣ쫐뺻싊뗄맘솪몯쫽붨솢죧쿂ꎺ 1−y,y∈(0,1]k(y)=1−y () 1,y∈[1,10]10쪽훐ꎬy캪짏룶붻틗죕뗄쫐뺻싊ꎬk(y)캪쫐뺻싊뗄맘솪몯쫽ꆣ 12ꆢ짏쫐틔살욽뻹막볛뗄맘솪몯쫽 짨짏쫐틔살욽뻹막볛캪xꎬ짏쫐릫쮾짏룶붻틗죕뗄막볛캪xꎬk(x)캪짏쫐s2틔살욽뻹막볛뗄맘솪몯쫽ꎬ퓲짏쫐틔살욽뻹막볛뗄맘솪몯쫽뿉붨솢캪ꎺ x−xs,x≤xsxsk(x)= () 2x−xs,x≥xsx3ꆢ짏쓪뛈욽뻹막볛뗄맘솪몯쫽 짨짏쓪뛈욽뻹막볛캪xꎬ짏쫐릫쮾짏룶붻틗죕뗄막볛캪xꎬk(x)캪짏쫐틔l3살욽뻹막볛뗄맘솪몯쫽ꎬ퓲짏쫐틔살욽뻹막볛뗄맘솪몯쫽뿉붨솢캪ꎺ x−xl,x≤xlxlk(x)= () 3x−xl,x≥xlx4ꆢퟛ뫏맘솪몯쫽 퓚ퟛ뫏에뛏훐ꎬ뾼싇떽짏쫶3룶횸뇪뚼럇뎣훘튪ꎬ컒쏇붫웤좨훘뚼짨훃캪1/3ꎬ폚쫇뗃떽ퟛ뫏맘솪몯쫽캪ꎺ 111K(u)=k(y)+k(x)+k(x) () 123333퓋폃맘솪몯쫽K(u)뻍뿉틔뛔막욱퇹놾u쫇럱펦룃춷ퟷ튻에뛏ꎬ떱K(u)≥0 32
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 쪱ꎬ듋쪱듓볛룱짏뾴뿉틔춶ꎬ뻟쳥쫇럱헦헽춶뮹튪뷡뫏쿂헂훐뗄춶폅뛈뷸탐에뛏ꎬ죧맻듋쪱춶폅뛈튲쫇헽횵ꎬ쮵쏷뿉틔춶룃막욱ꎬ랴횮ꎬ듋쪱죧맻춶폅뛈캪뢺횵ꎬ뺡맜듓볛룱짏뾴뿉틔춶ꎬ떫뾼싇떽룃릫쮾뫜쓑폐짏짽뗄쓚퓚뚯솦ꎬ쯹틔뮹쫇늻쓜춶룃막욱ꆣ떱K(u)≤0쪱ꎬ듋쪱듓볛룱짏뾴늻쓜춶룃막욱ꎬ벴쪹쿂헂럖컶훐폐뫜뫃뗄춶폅뛈ꎬ튲늻쓜춶ꎬ틲캪뛔폚튻횻막욱듓룟캻뷸죫ꎬ벴쪹폐뿉쓜짏헇ꎬ헇럹튲늻믡첫듳ꎬ뛔펦뗄믱샻뿕볤튲폐쿞ꆣ 쪵횤럖컶 놾헂쯹튪퇐뺿뗄컊쳢쫇퓋폃뿉췘벯쒣탍뛔막욱춶톡퓱뷸탐럖컶ꆣ캪쇋붫ST냥뿩뫍듳엌삶돯막뷸탐뇈뷏럖컶ꎬ컒쏇럖뇰듓ST냥뿩뫍듳엌삶돯막훐룷톡50횻막욱릲100횻막욱ퟩ돉듽움뛔쿳뗄싛폲Uꆣ퓚퇹놾뗄톡좡쪱ꎬ컒쏇솦쟳몭룇룷룶탐튵ꆣ캪쇋쳥쿖쪱킧탔뫍뇣폚뇈뷏ꎬ컒쏇톡좡2008쓪9퓂19죕뫍4퓂24죕헢솽룶놶쫜맘힢뗄쳘쫢죕웚ퟷ캪톡좡퇹놾뗄쪱볤ꆣ쇭췢캪쇋퇹놾뗄쫽뻝뗄ힼ좷탔ꎬ컒쏇듓훐맺짏쫐릫쮾톶췸ꆢ횤좯횮탇췸틔벰솽듳횤붻쯹췸햾믱뗃퇹놾쿠맘쫽뻝ꆣ 쪵횤럖컶뗄뷡맻죧쿂쏦뇭4-1뫍뇭4-2쯹쪾ꎺ 뇭4-1 2008쓪9퓂19죕퇹놾막욱막볛에뛏업탲뇭 업탲 막욱듺싫 막욱쏻돆 ퟛ뫏맘솪뛈업탲막욱듺싫 막욱쏻돆 ퟛ뫏맘솪뛈1 600248 *ST쟘럡 >0 51 600715 ST쯉쇉 2 600259 S*ST뻛 >0 52 600721 ST냙뮨 3 600757 ST풴랢 >0 53 000509 SST뮪쯜 4 600854 *ST뒺삼 >0 54 600649 풭쮮막럝 5 000672 *ST춭돇 >0 55 600012 췮춨룟쯙 6 000787 *ST뒴훇 >0 56 601628 훐맺죋쫙 7 600839 쯄뒨뎤뫧 57 600088 훐쫓뒫쎽 8 000002 췲뿆ꏁ 58 600137 ST샋즯 9 000058 ST주룱 59 600136 ST뗀늩 10 000906 S*ST붨닄 60 600793 *ST틋횽 11 000039 훐벯벯췅 61 600085 춬죊쳃 12 000981 S*ST삼맢 62 601988 훐맺틸탐 13 600207 ST낲닊 63 000750 SST벯 14 600275 *ST닽폣 64 600066 폮춨뿍뎵 15 000020 ST뮪랢A 65 000004 ST맺얩 33
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 16 000692 ST믝쳬 66 000628 *ST룟탂 17 600418 붭뮴웻뎵 67 600011 뮪쓜맺볊 18 600003 ST뚫놱룟 68 600548 짮룟쯙 19 600462 ST쪯 69 000089 짮?믺뎡 20 000691 ST떺 70 000613 ST뚫몣A 21 600052 *ST맣쿃 71 600773 ST퇅 22 600100 춬랽막럝 72 000488 뎿쏹횽튵 23 600597 맢쏷죩튵 73 600026 훐몣랢햹 24 000982 *ST훐죞 74 600118 훐맺컀탇 25 000716 ST쓏랽 75 600115 뚫랽몽뿕 26 600868 *ST쎷퇣 76 600508 짏몣쓜풴 27 600001 몪떦룖쳺 77 000779 ST엉짱 28 600209 ST싞뛙 78 600109 맺뷰횤좯 29 600611 듳훚붻춨 79 600706 *ST뎤탅 30 600876 *ST싥늣 80 600489 훐뷰믆뷰 31 600316 뫩뚼몽뿕 81 600009 짏몣믺뎡 32 600456 놦막럝 82 600743 SST탒뢣 33 600217 *ST쟘쇫 83 600050 훐맺솪춨 34 000959 쫗룖막럝 84 000010 SST뮪탂 35 000011 S*ST컯튵 85 600170 짏몣붨릤 36 600583 몣폍릤돌 86 600599 *ST뮨엚 37 600111 냼룖쾡췁 87 600585 몣식쮮쓠 38 600198 ST듳쳆 88 000858 컥솸튺 39 600177 퇅룪뛻 89 600028 훐맺쪯뮯 40 601857 훐맺쪯폍 90 600036 헐짌틸탐 41 601919 훐맺풶퇳 91 000729 퇠뺩욡뻆 42 000008 ST놦샻살 92 600503 SST탂훇 43 000005 ST탇풴 93 600657 ST쳬쟅 44 600108 퇇쪢벯췅 94 600645 ST췻뒺뮨 45 600608 *ST뮦뿆 95 600083 *ST늩탅 46 600143 뷰랢뿆벼 96 600656 S*ST풴튩 47 600787 훐뒢막럝 97 002024 쯕쓾뗧웷 48 600837 몣춨횤좯 98 600698 SST쟡웯 34
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 49 600832 뚫랽쏷훩 99 600017 죕헕룛 50 601318 훐맺욽낲 100 000538 퓆쓏냗튩 힢ꎺ뇭훐ퟛ뫏맘솪뛈ꆰ>0ꆱ뇭쪾평폚막욱춣없뗈풭틲쫽뻝좱랦뛸횱뷓에뚨뗄뷡맻ꎬ뇭쪾붫룃막욱퓝쇐죫뿉춶쟸폲ꎬ뺿뺹쫇럱횵뗃춶뮹쫇뷡뫏뗚5헂훐뗄춶폅뛈살ퟛ뫏에뛏ꆣ쿂뇭훐뗄튲쫇튻퇹ꆣ 듓뇭4-1훐컒쏇뿉틔뾴돶ꎬ9퓂19죕ꎬ뻸듳뛠쫽막욱뗄ퟛ뫏맘솪뛈뚼쫇듳폚0ꎬ쮵쏷헢킩막욱뚼놻뗍맀ꎬ듓볛룱짏뾴뚼퓚뿉춶횮쇐ꆣ잰튻죕듳엌쫕폚뗣ꎬ퓚2000뗣틔쿂ꎬ퓚헢퇹뗄뮷뺳쿂ꎬ뻸듳뛠쫽뗄막욱뚼놻뗍맀ꎬ쫐뎡튻욬뻈쫐뫴짹ꆣ19죕ꎬ헾뢮돶첨쇋튻쾵쇐헾닟ꎬ떱죕듳엌쫕폚ꆣ쯤좻쫐뎡죔좻늻컈뚨ꎬ떫듓쪵횤뗄뷡맻살뾴ꎬ뛠쫽막욱뗄춶볛횵틑쿖ꆣ샽죧ꎬ600003ST뚫놱룟ꎬ룃막욱훐웚쎿막뺻닺캪ꎬ짏쫐틔살돉붻뻹볛캪풪ꎬ좥쓪돉붻뻹볛캪풪ꎬ뛸9퓂19죕쫕엌볛캪풪ꎬ럖컶죏캪룃볛룱뗍폚막욱볛횵ꎬ듓볛룱짏뾴횵뗃춶ꎻ퓙죧ꎬ튻횱놻죋쏇뾴뫃뗄000538퓆쓏냗튩ꎬ룃막훐웚쎿막뺻닺캪ꎬ짏쫐틔살돉붻뻹볛캪풪ꎬ좥쓪돉붻뻹볛캪ꎬ뛸9퓂19죕쫕엌볛캪ꎬ컒쏇죏캪룃볛룱룟폚막욱볛횵ꎬ듓볛룱짏뾴늻쫊틋춶ꆣ훁폚쫇럱춶폚쒳튻쳘뚨뗄볛룱뗍폚볛횵뗄막욱ꎬ뮹튪뷡뫏쿂컄뗄춶폅뛈ퟛ뫏에뛏ꆣ 뇭4-2 2008쓪4퓂24죕퇹놾막욱막볛에뛏업탲뇭 업탲 막욱듺싫 막욱쏻돆 ퟛ뫏맘솪뛈업탲막욱듺싫 막욱쏻돆 ퟛ뫏맘솪뛈1 600248 *ST쟘럡 >0 51 601318 훐맺욽낲 2 600259 S*ST뻛 >0 52 601919 훐맺풶퇳 3 600656 S*ST풴튩 >0 53 000004 ST맺얩 4 000672 *ST춭돇 >0 54 000779 ST엉짱 5 000787 *ST뒴훇 >0 55 600548 짮룟쯙 6 000750 SST벯 56 600028 훐맺쪯뮯 7 000692 ST믝쳬 57 600100 춬랽막럝 8 600854 *ST뒺삼 58 000008 ST놦샻살 9 600839 쯄뒨뎤뫧 59 600009 짏몣믺뎡 10 600209 ST싞뛙 60 600706 *ST뎤탅 11 600207 ST낲닊 61 000005 ST탇풴 12 600418 붭뮴웻뎵 62 600462 ST쪯 13 000058 ST주룱 63 600698 SST쟡웯 14 600787 훐뒢막럝 64 600108 퇇쪢벯췅 15 601857 훐맺쪯폍 65 600109 맺뷰횤좯 35
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 16 600715 ST쯉쇉 66 600170 짏몣붨릤 17 600011 뮪쓜맺볊 67 600793 *ST틋횽 18 000020 ST뮪랢A 68 600088 훐쫓뒫쎽 19 000039 훐벯벯췅 69 600645 ST췻뒺뮨 20 600177 퇅룪뛻 70 000010 SST뮪탂 21 600052 *ST맣쿃 71 600773 ST퇅 22 000089 짮?믺뎡 72 600757 ST풴랢 23 600832 뚫랽쏷훩 73 600066 폮춨뿍뎵 24 600003 ST뚫놱룟 74 000613 ST뚫몣A 25 600721 ST냙뮨 75 000002 췲뿆ꏁ 26 000716 ST쓏랽 76 600456 놦막럝 27 600198 ST듳쳆 77 600136 ST뗀늩 28 000691 ST떺 78 000906 S*ST붨닄 29 000981 S*ST삼맢 79 600837 몣춨횤좯 30 600649 풭쮮막럝 80 600137 ST샋즯 31 600583 몣폍릤돌 81 000729 퇠뺩욡뻆 32 000011 S*ST컯튵 82 600017 죕헕룛 33 600611 듳훚붻춨 83 600508 짏몣쓜풴 34 601628 훐맺죋쫙 84 600083 *ST늩탅 35 600012 췮춨룟쯙 85 000628 *ST룟탂 36 600143 뷰랢뿆벼 86 000509 SST뮪쯜 37 000959 쫗룖막럝 87 000488 뎿쏹횽튵 38 600868 *ST쎷퇣 88 600657 ST쳬쟅 39 000982 *ST훐죞 89 600050 훐맺솪춨 40 600001 몪떦룖쳺 90 000858 컥솸튺 41 600217 *ST쟘쇫 91 002024 쯕쓾뗧웷 42 600608 *ST뮦뿆 92 000538 퓆쓏냗튩 43 600316 뫩뚼몽뿕 93 600115 뚫랽몽뿕 44 600275 *ST닽폣 94 600111 냼룖쾡췁 45 600597 맢쏷죩튵 95 600026 훐몣랢햹 46 600118 훐맺컀탇 96 600036 헐짌틸탐 47 601988 훐맺틸탐 97 600489 훐뷰믆뷰 48 600876 *ST싥늣 98 600743 SST탒뢣 36
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 49 600085 춬죊쳃 99 600585 몣식쮮쓠 50 600599 *ST뮨엚 100 600503 SST탂훇 듓짏쏦뇭4-2컒쏇뿉틔뾴돶ꎬ4퓂24죕ꎬ뛠쫽막욱죔좻놻룟맀ꎬ벴쪹폐늿럖막욱놻뗍맀ꎬ웤뗍맀뗄돌뛈튲늻룟ꆣ쯤좻잰컄죏캪듓뫪맛짏뾴4퓂럝틑쫇춶뗄낲좫웚ꎬ떫뻟쳥떽룶막뛸퇔ꎬ죔좻튪짷훘ꆣ샽죧ꎬ600854*ST뒺삼ꎬ룃막뷱쓪튻벾쎿막뺻닺캪풪ꎬ짏쫐틔살돉붻뻹볛캪풪ꎬ좥쓪돉붻뻹볛캪풪ꎬ4퓂24죕쫕엌폚풪ꎬ컒쏇죏캪룃막듓볛룱짏뾴춶볛횵틑쿖ꎻ퓙죧ꎬ600585몣식쮮쓠ꎬ룃막튻벾쎿막뺻닺캪풪ꎬ짏쫐틔살돉붻뻹볛캪풪ꎬ좥쓪돉붻뻹볛캪풪ꎬ뛸4퓂24죕쫕엌볛캪풪ꎬ듓볛룱짏뾴룃막늻뻟춶볛횵ꆣ 37
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 뗚컥헂 믹폚뚯첬뿉췘움볛뗄막욱춶폅뛈닢쯣 뾼달쒳횻막욱쫇럱뻟폐춶볛횵ꎬ쫗쿈튪뾼싇뗄뻍쫇볛룱ꆣ막볛뗍폚웤볛횵ꎬ퓲룃막욱뻟놸쇋뿉춶잰쳡쳵볾ꎬ쿠랴막볛룟폚웤볛횵뗄막욱퓲뿏뚨늻쫊틋춶ꆣ떫쫇쒳횻막욱쫇럱횵뗃춶ꎬ맢뾴볛룱쫇풶풶늻릻뗄ꎬ뮹튪뾴막욱뗄볛룱쫇럱튪짏짽뗄잱솦ꎬ헢뻍튪뾴짏쫐릫쮾뗄뺭펪ힴ뿶쇋ꆣ 쿂컄듓웳튵샻죳살풴뗄뷇뛈쳖싛막욱뗄톡퓱ꎬ뇏뺹헢쫇춶헟ퟮ맘탄뗄튻뗣ꆣ컒쏇폃춶폅뛈ꎨ춶폅뛈뗄뚨틥쿂컄믡뻟쳥룸돶ꎩ살뫢솿막욱춶볛횵뗄듳킡ꎬ춶폅뛈풽듳ꎬ막욱춶볛횵풽룟ꎬ춶폅뛈킡폚믲뗈폚쇣쪱ꎬ늻쓜춶룃막욱ꆣ 막욱춶펰쿬틲쯘뗄뿉췘럖컶 퓚막욱춶럖컶훐ꎬ춶헟췹췹듓뫪맛뺭볃ힴ뿶ꆢ탐튵ힴ뿶ꆢ릫쮾ힴ뿶뗈죽룶랽쏦살럖컶튻룶짏쫐릫쮾ꆣ컞싛쫇뫪맛뺭볃탎쪽벰헾닟ힴ뿶뮹쫇탐튵ힴ뿶뛔튻룶릫쮾살쮵뚼쫇튻룶췢늿뮷뺳ꎬ릫쮾놾짭뗄뺭펪ힴ뿶닅쫇펰쿬막욱춶볛횵뗄뻶뚨탔틲쯘ꎬ막욱뗄춶볛횵살풴폚웤펯샻뗄뿉쓜탔ꆣ틲듋ꎬ퓚놾컄뗄럖컶훐ꎬ컒쏇ퟅ훘럖컶짏쫐릫쮾뗄뺭펪ힴ뿶ꎬ듓짏쫐릫쮾뗄뺭펪ힴ뿶뗄뫃뮵뛔웤춶볛횵ퟶ돶움볛ꆣ 쫗쿈ꎬ컒쏇듓짏쫐릫쮾랢햹뗄뚯첬탔뾼싇ꎬ뛔웤ퟶ잱쿔릲럖컶ꆣ 뇭5-1 짏쫐릫쮾춶볛횵펰쿬틲쯘잱쿔릲럖컶뇭 쿔늿 펯샻쓜솦ꎬ뎥햮쓜솦ꎬ돉뎤쓜솦ꎬ펪퓋쓜솦ꎬꆭ 잱늿 벼쫵쓜솦ꎬ펪쿺쓜솦ꎬ맜샭쓜솦ꎬ닺욷뺺헹솦ꎬ욷없펰쿬솦ꎬꆭ 릫쮾뗄닆컱ힴ뿶쫇웤뺭펪돉맻뗄벯훐쳥쿖ꎬ릫쮾뗄쿔늿훷튪쫇웤닆컱ힴ뿶ꆣ릫쮾펰쿬춶볛횵뗄잱퓚틲쯘ꎬ튲벴잱늿훷튪쫇웤벼쫵쓜솦ꎬ펪쿺쓜솦ꎬ맜샭쓜솦뗈ꎬ헢킩쯤좻늻쓜십짏뇭쿖캪릫쮾뗄쫕틦ꎬ떫헢킩틲쯘뿉틔뮯캪웳튵뗄펯샻ꆣ 붫헢킩틲쯘폃컯풪뗄탎쪽뇭쪾캪ꎺ r=(N,펯샻쓜솦ꎬv)ꎬ 1jj1jr=(N,뎥햮쓜솦ꎬv)ꎬ 2jj2jr=(N,돉뎤쓜솦ꎬv)ꎬ 3jj3jr=(N,펪퓋쓜솦ꎬv)ꎬ 4jj4jr=(N,벼쫵쓜솦ꎬv)ꎬ 5jj5jr=(N,펪쿺쓜솦ꎬv)ꎬ 6jj6j 38
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 r=(N,맜샭쓜솦ꎬv)ꎬ 7jj7jr=(N,닺욷뺺헹솦ꎬv)ꎬ 8jj8jr=(N,욷없펰쿬솦ꎬv)ꎬ 9jj19jΜ 펰쿬틲쯘컯풪좷뚨쇋막욱춶볛횵뗄믹놾럖컶뿲볜ꎬ떫늻뻟놸뿉닙ퟷ탔ꎬ샻폃컯풪쳘헷뗄랢즢탔뫍쿠맘탔ꎬ뗃떽쇢탎쮼캬쒣쪽뗄랢즢쾵춳ꎺ r ┤ {r=(N,뺻닺쫕틦싊ꎬv),r=(N,훷펪튵컱샻죳싊ꎬv), 1j11jj11j12jj12jr=(N,닺뺻샻싊ꎬv)ꎬꆭ} 13jj13jr ┤ {r=(N,닺뢺햮싊ꎬv,r=(N,닺좨뇈싊ꎬv), 2j21jj21j22jj22jr=(N,쇷뚯뇈싊ꎬv)ꎬr=(N,쯙뚯뇈싊ꎬv)ꆭ} 23jj23j24jj24jr ┤ { r=(N,훷펪튵컱쫕죫퓶뎤싊ꎬv),r=(N,뺻샻죳퓶뎤싊ꎬv) 3j31jj31j32jj32j r=(N,ퟜ닺퓶뎤싊ꎬv),r=(N,뺻닺퓶뎤싊ꎬv)ꎬꆭ} 33jj33j34jj34jr ┤{r=(N,듦믵훜싊ꎬvꎬ r=(N,펦쫕헊뿮훜싊ꎬv)ꎬ 4j41jj41j42jj42j r=(N,쇷뚯닺훜싊ꎬv)ꎬr=(N,ퟜ닺훜싊ꎬv)ꎬꆭ} 43jj43j44jj44jr ┤ {r=(N,벼쫵쇬쿈돌뛈ꎬv,r=(N,벼쫵듦솿쮮욽ꎬv), 5j51jj51j52jj52j r=(N,짨놸쿈뷸돌뛈ꎬv),r=(N,짨놸듦솿쮮욽ꎬv)ꎬꆭ} 53jj53j54jj54jr ┤ {r=,(N,펪쿺쒣쪽쿈뷸돌뛈ꎬv)r=(N,펯샻쒣쪽쿈뷸돌뛈ꎬvꎬ )6j61jj61j61jj61j r=(N,쫛뫳럾컱훊솿ꎬv)ꎬr=(N,뿍뮧맘쾵ힴ뿶ꎬv)ꎬꆭ} 63jj63j64jj64jr ┤ {r=(N,ퟜ뺭샭뻶닟쓜솦ꎬvꎬr=(N,웳튵컄뮯ꎬv)ꎬ 7j71jj71j72jj72j r=(N,맜샭쳥쾵췪짆돌뛈ꎬv)ꎬꆭ} 73jj73jr ┤ {r=(N,닺욷늻뿉쳦듺탔ꎬvꎬr=(N,닺욷쫐뎡햼폐싊ꎬv)ꎬ 8j81jj81j82jj82j r=(N,닺욷늻뿉쒣럂탔ꎬv)ꎬꆭ} 83jj83jr ┤ {r=(N,욷없쏀폾뛈ꎬvꎬr=(N,욷없죏뿉뛈ꎬv)ꎬꆭ} 9j91jj91j92jj92j 39
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 붫막욱쿔뮯춶볛횵ퟷ캪짏캻풪쯘뷸탐퓌몬럖컶ꎬ럖캪펯샻쓜솦ꆢ뎥햮쓜솦ꆢ돉뎤쓜솦뫍펪퓋쓜솦쯄룶쿂캻풪쯘ꆣ퓚듋믹뒡짏퓙뷸탐퓌몬럖컶ꎬ죧쿂춼쯹쪾ꎺ ꎨ짏쫐릫쮾ꎬ쿔뮯춶볛횵ꎬ룟ꎩ ꎨ릫쮾ꎬ펯샻쓜솦ꎬ룟ꎩꎨ릫쮾ꎬ뎥햮쓜솦ꎬ룟ꎩꎨ릫쮾ꎬ돉뎤쓜솦ꎬ룟ꎩꎨ릫쮾ꎬ펪퓋쓜솦ꎬ룟ꎩ ꎨ릫쮾ꎬ뺻닺쫕틦싊ꎬ룟ꎩ ꎨ릫쮾ꎬ훷펪튵컱쫕죫퓶뎤싊ꎬ룟ꎩ ꎨ릫쮾ꎬ훷펪튵컱샻죳싊ꎬ룟ꎩ ꎨ릫쮾ꎬ뺻샻죳퓶뎤싊ꎬ룟ꎩ ꎨ릫쮾ꎬ닺뺻샻싊ꎬ룟ꎩ ꎨ릫쮾ꎬퟜ닺퓶뎤싊ꎬ룟ꎩ ꎨ릫쮾ꎬ뺻닺퓶뎤싊ꎬ룟ꎩ ꎨ릫쮾ꎬ닺뢺햮싊ꎬ뗍ꎩ ꎨ릫쮾ꎬ듦믵훜싊ꎬ룟ꎩ ꎨ릫쮾ꎬ닺좨뇈싊ꎬ뗍ꎩ ꎨ릫쮾ꎬ펦쫕헋뿮훜싊ꎬ룟ꎩ ꎨ릫쮾ꎬ쇷뚯뇈싊ꎬ룟ꎩ ꎨ릫쮾ꎬ쇷뚯닺훜싊ꎬ룟ꎩ ꎨ릫쮾ꎬ쯙뚯뇈싊ꎬ룟ꎩ ꎨ릫쮾ꎬퟜ닺훜싊ꎬ룟ꎩ 춼5-1 짏쫐릫쮾쿔뮯춶폅뛈퓌몬쾵 잱뮯춶볛횵폃퓌몬쾵뇭쪾캪ꎺ ꎨ짏쫐릫쮾ꎬ잱뮯춶볛횵ꎬ룟ꎩ ꎨ릫쮾ꎬ벼쫵쓜솦ꎬ룟ꎩꎨ릫쮾ꎬ펪쿺쓜솦ꎬ룟ꎩꎨ릫쮾ꎬ맜샭쓜솦ꎬ룟ꎩꎨ릫쮾ꎬ닺욷뺺헹솦ꎬ룟ꎩ ꎨ릫쮾ꎬ욷없펰쿬솦ꎬ룟ꎩ ꎨ릫쮾ꎬ벼쫵쇬쿈돌뛈ꎬ룟ꎩ ꎨ릫쮾ꎬퟜ뺭샭뻶닟쓜솦ꎬ룟ꎩ ꎨ릫쮾ꎬ벼쫵듦솿쮮욽ꎬ룟ꎩ ꎨ릫쮾ꎬ웳튵컄뮯ꎬ뫃ꎩ ꎨ릫쮾ꎬ욷없쏀폾뛈ꎬ룟ꎩ ꎨ릫쮾ꎬ맜샭쳥쾵췪짆돌뛈ꎬ룟ꎩ ꎨ릫쮾ꎬ욷없죏뿉뛈ꎬ룟ꎩ ꎨ릫쮾ꎬ펪쿺쒣쪽쇬쿈돌뛈ꎬ룟ꎩ ꎨ릫쮾ꎬ닺욷늻뿉쳦듺탔ꎬ룟ꎩ ꎨ릫쮾ꎬ펯샻쒣쪽쇬쿈돌뛈ꎬ룟ꎩ ꎨ릫쮾ꎬ닺욷쫐뎡햼폐싊ꎬ룟ꎩ ꎨ릫쮾ꎬ쫛뫳럾컱훊솿ꎬ룟ꎩ ꎨ릫쮾ꎬ닺욷늻뿉쒣럂탔ꎬ룟ꎩ ꎨ릫쮾ꎬ뿍뮧맘쾵ힴ뿶ꎬ뫃ꎩ 춼5-2짏쫐릫쮾쿔뮯춶폅뛈퓌몬쾵 막욱춶뿉췘뚯첬움볛 쫽뻝살풴폫뒦샭 놾헂쯹튪퇐뺿뗄컊쳢쫇퓋폃뿉췘쒣탍뛔막욱춶톡퓱뷸탐럖컶ꆣ캪쇋뫍잰컄 40
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 뗚4헂뷸탐뛔펦ꎬ컒쏇죔좻톡퓱짏컄뗄톡뚨뗄100횻막욱ퟩ돉듽움뛔쿳뗄싛폲1Uꆣ캪쇋쳥쿖쪱킧탔ꎬ컒쏇톡좡2007쓪쓪놨ퟷ캪퇹놾뗄쪱볤랶캧ꆣ컒쏇죔좻듓훐맺짏쫐릫쮾톶췸ꆢ횤좯횮탇췸틔벰솽듳횤붻쯹췸햾믱뗃퇹놾쿠맘쫽뻝ꆣ 퓚놾컄훐ꎬ쿔뮯횸뇪뷚폲뫍뺭뗤폲뗄좷뚨쫇틔쯹톡퇹놾캪믹뒡뗄ꎬ룹뻝훐맺짏쫐릫쮾닆컱ힴ뿶뗄뻟쳥쟩뿶뗃떽뗄ꆣ캪쇋뇜쏢벸룶벫듳뗄횵뛔움볛뷡맻뗄펰쿬ꎬ컒쏇냑뎬맽뷚폲뗄횸뇪횵짨뚨캪뷚폲뗄뛋뗣횵ꆣ 막욱춶뿉췘뚯첬움볛뗄믹놾늽훨 룹뻝잰컄쯹뷩짜뗄뿉췘뚯첬움볛랽램ꎬ막욱춶뗄뿉췘뚯첬움볛ꎬ쫇믹폚늻춬뗄뿉췘뇤뮻뷸탐뗄ꆣ컒쏇탨튪좷뚨듽움볛막욱뗄싛폲ꎬ뾼달싛폲훐뗄막욱쓄킩쫇폐춶볛횵뗄ꎬ쓄킩쫇늻뻟춶볛횵뗄ꆣ평폚움볛헟늻쓜뛔막욱놾짭ퟶ뿉췘뇤뮻ꎬ춶헟믲럖컶쪦쏇늻쓜뛔짏쫐릫쮾뗄뺭펪뷸탐룉풤ꎬ늻쓜펰쿬짏쫐릫쮾ퟔ짭뺭펪ힴ뿶뗄뇤뮯죧튵벨뇤뫃믲뇤닮ꆢ훘ퟩ뗈ꎬ막욱춶뿉췘뚯첬움볛폫웤쯼쫂컯뗄움볛늻춬횮뒦퓚폚움볛훷튪틀뾿뛔맘솪몯쫽뗄뇤뮻ꆣ룹뻝쓜랴펳막욱춶폅뛈뗄쿔뮯횸뇪뛔싛폲훐뗄룷막욱뷸탐돵듎에뛏ꎬ룹뻝춶폅뛈횵뾴쯼쏇룷ퟔ쫴폚싛폲뗄헽폲ꆢ뢺폲믲쇣뷧ꎻ뛔폚뒦폚헽폲훐뗄막욱ꎬ컒쏇죏캪쯼쏇쫇뻟폐춶볛횵뗄ꎬ듓춶폅뛈듳킡뿉틔뾴돶춶볛횵뗄듳킡ꎻ뛔폚뒦폚뢺폲훐뗄막욱ꎬ컒쏇늻쓜뻍듋죏캪쯼쏇뻸뛔늻뻟폐춶볛횵ꎬ폐뫜뛠막욱쯤좻퓝쪱뇭쿖늻춻돶ꎬ떫쯼쏇폐뫜듳뗄잱솦ꎬ쯹틔컒쏇탨튪뛔횸뇪쳥쾵뷸탐뇤뮻ꎬ샻폃튻킩잱퓚뗄횸뇪좥훘탂뾼달쯼쏇ꎬ헢쪱춶폅뛈듳폚쇣뗄막욱뻍뒦폚싛폲뗄헽뿉췘폲쓚ꎬ춶폅뛈죔좻킡폚쇣뗄막욱뻍캻폚싛폲뗄뢺컈뚨폲쓚ꆣ샻폃뿉췘뚯첬랽램좥움볛막욱춶볛횵ꎬ헢쪱뮹쎻폐뷡쫸ꎬ뛔폚뒦폚뢺컈뚨폲훐뗄막욱ꎬ쯤좻컒쏇늻쓜뛔쯼쏇ퟶ뿉췘뇤뮻ꎬ떫쯼쏇헽퓚랢짺뗄뇤뮻컒쏇뿉틔뾼싇ꎬ죧뿉틔뾼달헽퓚뷸탐뗄훘ퟩ믲뻟폐벫듳훘ퟩ뿉쓜탔ꆣ 쿂쏦쫇막욱춶볛횵뿉췘뚯첬움볛뗄뻟쳥늽훨ꎺ 1ꆢ 룹뻝움볛쒿뇪좷뚨듽움볛막욱뗄싛폲 뛔막욱춶볛횵뗄움볛쫗쿈탨튪좷뚨듽움볛막욱ꎬ헢쫇움볛릤ퟷ뗄잰쳡ꆣ죧뛔쒳튻냥뿩쓚뗄막욱뷸탐움볛ꎬ듋쪱싛폲뻍쫇냥뿩쓚뗄좫늿막욱ꆣ싛폲쫇룹뻝움볛뗄쪵볊탨튪좷뚨뗄ꎬ놾컄훐ꎬ컒쏇짨듽움볛막욱뗄싛폲캪Uꎬu∈U캪싛폲훐뗄죎튻횻막욱ꎬy=k(u) 캪듽움볛막욱싛폲뗄맘솪몯쫽ꎬ퓚놾컄훐컒쏇붫웤좡횵뚨틥캪막욱뗄춶폅뛈ꎬ퓲싛폲U뗄뿉췘벯캪 1 풭쪼쫽뻝ꆢ뒦샭맽뗄쫽뻝틔벰돵듎폅뛈움볛뗄뷡맻쫽뻝틲캪뷏뛠ꎬ쿞폚컄헂욪럹ꎬ컄헂훐늻ퟷ쿔쪾ꎬ뛁헟죧탨닩뾴ꆢ볬퇩ꎬ뿉쿲ퟷ헟쯷좡ꆣ 41
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 ~′E(T)={(u,y,y)|u∈TU,yk(u)∈′=I,y=Tk(Tu)∈I}ꎬ Uku웤훐T={T,T,T}캪쪵쪩뗄쒳튻뿉췘뇤뮻ꎬI캪쪵쫽폲ꆣ Uku~ꎨ1ꎩ떱T={e,e,e}ꎬ벴늻쪵쪩뇤뮻T쪱ꎬE뗄헽폲캪 E={(u,y)|u∈U,y=k(u)>0}ꎬ 뇭쪾듽움막욱훐쯹폐뻟폐춶볛횵뗄막욱좫쳥ꎬ춶폅뛈횵뗄듳킡뇭쪾춶볛횵~뗄듳킡ꆣ뛸E뗄뢺폲캪 E={(u,y)|u∈U,y=k(u)<0}ꎬ 뇭쪾듽움막욱훐쯹폐늻뻟폐춶볛횵뗄막욱좫쳥ꆣ웤쇣뷧 J={(u,y)|u∈U,y=k(u)=0}, 0 뇭쪾듽움막욱훐볈뻟폐춶볛횵ꎬ폖늻뻟폐춶볛횵뗄막욱좫쳥ꎬ춶헢킩막욱볈늻믡듸살쫕틦ꎬ튲늻믡폐쯰쪧ꆣ ꎨ2ꎩ떱T={T,T,T}ꎬ벴뛔듽움막욱뗄싛폲ꆢ맘솪ힼ퓲믲듽움막욱놾짭뷸Uku탐뇤뮻쪱ꎬ퓲헽뿉췘폲 ′′ E(T)={(u,y,y)|u∈TU,y=k(u)≤0,y=Tk(Tu)>0}ꎬ +Uku•뇭쪾풭살움볛늻뻟폐춶볛횵ꎬ떫뺭맽뇤뮻뫳뗄움볛뻟폐춶볛횵뗄듽움막욱뗄좫쳥ꆣ뢺뿉췘폲 ′′E(T)={(u,y,y)|u∈TU,y=k(u)≥0,y=Tk(Tu)<0}ꎬ −Uku•뇭쪾풭살움볛뻟폐춶볛횵ꎬ떫뺭맽뇤뮻뫳움볛늻뻟폐춶볛횵뗄듽움막욱뗄좫쳥ꆣ헽컈뚨폲 ′′ E(T)={(u,y,y)|u∈TU,y=k(u)>0,y=Tk(Tu)>0}, +Uku뇭쪾풭살움볛뻟폐춶볛횵ꎬ떫뺭맽뇤뮻뫳움볛죔좻뻟폐춶볛횵뗄듽움막욱뗄좫쳥ꆣ뢺컈뚨폲 ′′E(T)={(u,y,y)|u∈TU,y=k(u)<0,y=Tk(Tu)<0} −Uku뇭쪾풭살움볛늻뻟폐춶볛횵ꎬ떫뺭맽뇤뮻뫳움볛죔좻늻뻟폐춶볛횵뗄듽움막욱뗄좫쳥ꆣ 2ꆢ룹뻝쿔뮯횸뇪뷸탐돵듎폅뛈움볛 ꎨ1ꎩ좷뚨뫢솿쳵볾 룹뻝짏컄뗄막욱춶볛횵펰쿬틲쯘뗄뿉췘럖컶ꎬ짏쫐릫쮾뗄닆컱ힴ뿶쫇웤뺭 42
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 펪킧맻뗄ퟛ뫏랴펳ꎬ튲쫇웤쿔뮯뗄탅쾢ꆣ랴펳웳튵뺭펪ힴ뿶뗄닆컱ힴ뿶뗄횸뇪훷튪폐랴펳펯샻쓜솦ꆢ뎥햮쓜솦뫍돉뎤쓜솦뗈죽룶랽쏦뗄횸뇪ꆣ움볛횸뇪뗄짨볆펦ퟱ톭뿆톧탔ꆢ뿉닙ퟷ탔ꆢ좫쏦탔뫍춳튻탔뗄풭퓲ꎬ볈튪뾼싇떽퇐뺿죎컱ꎬ룼튪럻뫏뿍맛쫂컯놾짭뗄쳘뗣ꆢ탔훊벰웤퓋뚯맽돌ꎬ쫇움볛횸뇪쓜릻뇈뷏ힼ좷뗘랴펳쫂컯랢햹뗄놾훊맦싉ꆣ룹뻝틔짏풭퓲뫍컒쏇쯹쓜뗃떽뗄짏쫐릫쮾탅쾢엻슶뗄뻟쳥쟩뿶ꎬ컒쏇붨솢쿂쏦뗄움볛횸뇪쳥쾵ꆣ 뇭5-2 춶폅뛈움볛뗄쿔뮯횸뇪쳥쾵 ퟛ뫏횸뇪 횸뇪쏻돆 듺뇭럻뫅ci 횸뇪떥캻 뺻닺쫕틦싊 c1 % 펯샻쓜솦 훷펪튵컱샻죳싊 c2 % 뎥햮쓜솦 닺뢺햮싊 c3 % 훷펪튵컱쫕죫퓶뎤싊 c4 % 뺻샻죳퓶뎤싊 c5 % 돉뎤쓜솦 ퟜ닺퓶뎤싊 c6 % 뺻닺퓶뎤싊 c7 % 폚쫇막욱춶볛횵움볛뗄쿔뮯뫢솿쳵볾M=M,M,Λ,Mꎬ웤훐127M=(c,v)쫇쳘헷풪ꎬv뚼쫇쫽솿뮯쇋뗄솿횵폲ꎬi=1,2,Λ,7ꆣ iiii평폚틔짏웟룶뫢솿쳵볾뛔짏쫐릫쮾살쮵뚼럇뎣훘튪ꎬ쯹틔컒쏇붫룷횸뇪뗄좨훘쾵쫽뚼짨훃캪1/7ꆣ ꎨ2ꎩ좷뚨뺭뗤폲뫍뷚폲 U,c<0,100>01c<0,100>2c<0,50>3R=c<0,100> 04c<0,200>5c<0,100>6c<0,200>7 43
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 U,c<−100,100>1c<−100,100>2c<0,100>3R=c<−100,100> 4c<−100,200>5c<−100,100>6c<−100,200>7ꎨ3ꎩ맘솪몯쫽뗄릹붨폫움볛 쿂쏦붨솢룷횸뇪뗄맘솪몯쫽ꎺ 뛔폚닺뢺햮싊ꎬ컒쏇헢샯볙뚨웳튵뢺햮풽뗍풽뫃ꎬ붨솢맘솪몯쫽죧쿂ꎺ 50−xk(x)=ꎬ 350뛔폚웤쯼쇹룶횸뇪ꎬ뚼쫇웤횵풽듳풽뫃ꎬ컒쏇붨솢맘솪몯쫽죧쿂; xxxk(x)=,k(x)=,k(x)=, 124100100100xxxk(x)=,k(x)=,k(x)=, 567200100200듓뛸뗃떽룷퇹놾막욱N쿠뛔폚룷횸뇪M뗄뫏룱뛈k(N)ꎨi=1,2,Λ,7ꎻjiijj=1,2,Λ,mꎩꆣ뗃떽룷퇹놾막욱쿠뛔폚룷횸뇪뗄뫏룱뛈횮뫳ꎬ캪쇋뇣폚뇈뷏ꎬ컒쏇붫뫏룱뛈맦랶뮯ꎬ맦랶뮯뗄릫쪽캪 k(N)ij,k(N)>0ijmaxk(x)ix∈X0k= ꎨi=1,2,Λ,7ꎻj=1,2,Λ,100ꎩ ijk(N)ij,k(N)<0ijmaxK(x)ix∉X0뷡뫏룷뫢솿쳵볾뗄좨훘ꎬ볆쯣룷막욱뗄쿔뮯횸뇪뗄ퟛ뫏춶폅뛈ꎬ릫쪽캪ꎺ nc(N)=αk(M(N))(j=1,2,Λ,m) j∑iiiji=1ퟮ뫳룹뻝ퟛ뫏폅뛈횵뷸탐돵늽에뛏ꎬ죴c(N)≥0ꎬ쮵쏷N뻟폐춶볛횵ꎬjj죴c(N)≤0ꎬ쮵쏷N늻뻟폐춶볛횵ꆣ평듋뿉틔에뛏룷막욱N쫴폚싛폲뗄헽폲ꆢjjj뢺폲믲쇣뷧ꆣ 3ꆢ 믹폚움볛횸뇪쳥쾵뿉췘뇤뮻뗄움볛 뛔폚짏쫐릫쮾뛸퇔ꎬ뫜뛠풴믲틲쯘쫇잱퓚뗄ꎬ쎻폐뛔막볛뫍펯샻닺짺횱뷓 44
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 뗄펰쿬ꎬ떫쫇헢킩풴믲틲쯘튻떩쿔뮯ꎬ뻍믡뛔막볛뫍펯샻닺짺횱뷓뗄펰쿬ꆣ퓚짏쏦뗄움볛훐ꎬ실퓚뿉췘벯뫏뢺폲훐뗄막욱퓚뾼싇웤잱퓚펯샻쓜솦뫳ꎬ튲쫇뻟폐춶볛횵뗄ꎬ틲듋컒쏇탨튪뛔움볛횸뇪쳥쾵뷸탐뇤뮻ꎬ샻폃잱퓚횸뇪뛔싛폲U훐뗄막욱뷸탐훘탂움볛ꆣ ꎨ1ꎩ좷뚨뫢솿쳵볾 룹뻝놾헂뗚뛾뷚훐뛔짏쫐릫쮾뗄릲럖컶ꎬ펰쿬막욱춶볛횵뗄잱퓚틲쯘폐벼쫵쓜솦ꆢ맜샭쓜솦ꆢ펪쿺쓜솦ꎬ닺욷뺺헹솦ꆢ욷없펰쿬솦뗈ꆣ놾컄헢샯룹뻝틔짏틲쯘뛔펯샻뗄쿠맘탔돌뛈ꎬ톡좡벼쫵쓜솦ꆢ맜샭쓜솦ꆢ펪쿺쓜솦틔벰닺욷뺺헹솦쯄룶틲쯘뛔막욱잱퓚춶볛횵뷸탐움볛ꆣ퓚움볛쪱ꎬ벼쫵쓜솦ퟅ훘뾼달벼쫵쇬쿈돌뛈뫍벼쫵듦솿쮮욽ꎬ맜샭쓜솦ퟅ훘뾼달펪쿺쒣쪽ꆢ펯샻쒣쪽ꆢ쫛뫳럾컱틔벰뿍뮧맘쾵ힴ뿶ꎬ맜샭쓜솦훷튪움볛ퟜ뺭샭뻶닟쓜솦뫍맜샭쳥쾵췪짆돌뛈ꎬ닺욷뺺헹솦훷튪뾼달닺욷쫐뎡햼폐싊ꆢ늻뿉쳦듺탔ꆢ늻뿉쒣럂탔ꆣ컒쏇냑ퟮ짏닣뗄쯄룶틲쯘ퟷ캪뫢솿쳵볾ꎬퟛ뫏뾼싇쿂닣틲쯘뗄펰쿬ꎬ뷸탐솿뮯ꎬ좷뚨잱퓚춶폅뛈ꆣ 뫢솿쳵볾M′{M′,M′,M′,M′=}ꎬ웤훐M′′′=(c,v)쫇쳘헷풪ꎬ′v뚼쫇쫽솿1234iiii뮯쇋뗄솿횵폲ꎬi=1,2,3,4ꆣ 막욱Nꎬ펰쿬막욱ퟟ쫆뗄틲쯘′cꎬ벰웤솿횵′vꎬ폃컯풪뇭쪾캪ꎺ jii′′Ncv막욱ꎬ벼쫵쓜솦ꎬ′vj111′′cv맜샭쓜솦ꎬ′v222′R== ′′cv펪쿺쓜솦ꎬ′v333′′cv닺욷뺺헹솦ꎬ′v444쪽훐ꎬ′vꎬi=1,2,3,4룹뻝막욱뗄쟩뿶늻춬ꎬ뗃떽늻춬뗄횵ꆣ iꎨ2ꎩ좷뚨좨훘쾵쫽 ′vꎬi=1,2,3,4뗄좨쾵쫽ꎬ폃닣듎럖컶램1ꎭ9훘튪탔뇪뛈뗃떽죧쿂에뛏뻘ꎺi뇭5-3 잱뮯횸뇪쳥쾵좨훘에뛏뻘헳 솿횵′ ′′ ′v v vv 1234′v 1 1/5 1/3 1 1′v 5 1 3 5 2′v 3 1/3 1 3 3′v 1 1/5 1/3 1 4 45
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 룹뻝닣듎럖컶램뗄볆쯣ꎬ뗃떽쿠펦뗄좨쾵쫽캪ꎺ W′′′′′=(α,α,α,α)=(,,,) 1234 3ꎩ볒듲럖폫릹붨맘솪몯쫽 평폚헢킩틲쯘뚼뫜쓑뛈솿ꎬ컒쏇퇻쟫볒뻍틔짏쯄룶틲쯘룸늻춬뗄짏쫐릫쮾듲럖ꆣ놾컄퇻쟫쇋5캻뛔막쫐뫍짏쫐릫쮾폐뷏뫃쇋뷢뗄볒ꆣ듲럖뗄맽돌쫇ꎺ붫듽움볛막욱ꆢ움볛틲쯘틔벰움볛뇪ힼ틔뗷닩뇭뗄탎쪽쿲룷볒쓤쏻헷톯ꎬ냑믘쫕뗄볒틢볻뷸탐헻샭ꎬ늢붫룷볒뗄틢볻퓚랴삡룸쯻쏇ꎬ벸듎랴뢴ꎬ횱떽룷캻볒뗄틢볻튻훂캪횹ꆣ뢽슼A쇐돶쇋볒듲럖쟩뿶ꆣ움볛뇪ힼ죧쿂뇭쯹쪾ꎺ 뇭5-4 막욱잱퓚춶볛횵펰쿬틲쯘움럖뇪ힼ 뗈벶 벫닮 쪮럖닮 룼닮 짔닮 튻냣 짔룟 룼룟 쪮럖룟 벫룟 움럖 ꎭ1 ꎭ ꎭ ꎭ 1 볒룹뻝막욱춶볛횵룷펰쿬틲쯘뛔막욱ퟷ돶움럖ꎬ움럖튲뿉좡룷뗈벶횮볤뗄횵ꆣ짨볒뛔쒳막욱펰쿬춶볛횵틲쯘뗄움럖캪xꎬ컒쏇붨솢맘솪몯쫽 ′k(x)=x 룹뻝맘솪몯쫽뫍룷펰쿬틲쯘뗄좨훘쾵쫽ꎬ컒쏇뿉틔뛔막욱잱퓚춶볛횵ퟶ돶움볛ꆣ퓚놾컄훐ꎬ컒쏇횻뛔캻폚싛폲뗄뢺폲훐뗄막욱뷸탐믹폚움볛횸뇪쳥쾵뇤뮻뗄움볛ꆣ듋쪱ꎬ죴막욱움볛뷡맻캪헽횵ꎬ퓲쯼캻폚헽뿉췘폲E(T)ꎻ죴막욱움볛+k•뷡맻죔캪뢺횵ꎬ퓲쯼캻폚뢺컈뚨폲E(T)ꆣ −k4ꆢ 믹폚짏쫐릫쮾뿉췘뇤뮻뗄움볛 믹폚막욱뿉췘뇤뮻뗄움볛쫇헫뛔짏컄훐움볛훐캻폚싛폲뢺컈뚨폲E(T)뗄−k막욱ꆣ퓚짏컄훐ꎬ쯤좻뿉싇펯샻뗄잱퓚뿉쓜탔ꎬ떫죔폐튻킩짏쫐릫쮾뗄움볛횵쫇뢺횵ꆣ뇈죧움볛뛔쿳N,뺭맽솽싖움볛뫳ꎬ웤ퟮ훕뗄폅뛈C(N)<0ꎬ내헕뎣맦LL뗄움볛랽램뿏뚨붫룃뛔쿳업돽ꆣ튲뻍쫇쮵ꎬ헢킩릫쮾샻폃ퟔ짭뗄풴ꆢ쓜솦컞램냚췑뿷쯰뗄뻖쏦ꎬ듋쪱ꎬ헢킩릫쮾쏦쇙솽룶톡퓱ꎬ튻쫇췋쫐ꎬ쇭튻룶뻍쫇훘ퟩꆣ 쿖퓚컒쏇뛔N뷸탐뿉췘럖컶ꎬ훷튪쫇뢺헽릲럖컶뫍탩쪵릲럖컶ꎬ럖컶쯼뗄L폅쫆뫍쇓쫆ꎬ좻뫳뷸탐쫊떱뿉췘뇤뮻Tꎬ헢샯뗄뿉췘뇤뮻T={훘ퟩ,뷨뿇}ꎬ훘LLퟩ믲놻뷨뿇뫳ꎬ짏쫐릫쮾훷펪튵컱춻돶ꎬ튵벨뫃ꎬ헢퇹샻폃쿔뮯횸뇪움볛튲쓜뗃떽뇈뷏룟뗄폅뛈ꆣ헢샯ퟅ훘튪뾼달짏쫐릫쮾쫇럱헽퓚뷸탐훘ퟩ믲헟훘ퟩ뗄뿉쓜탔듳늻듳ꎬ죴쒳짏쫐릫쮾헽퓚뷸탐훘ퟩ믲벫폐뿉쓜훘ퟩꎬ죔좻폐뫜듳뗄춶볛횵ꆣ 46
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 5ꆢ 믹폚싛폲뇤뮻뗄움볛 뛔듽움막욱뗄싛폲뗄뇤뮻쫇삩듳싛폲뗄랶캧ꎬ듓룼듳뗄랶캧쓚좥쳴톡폐볛횵뗄막욱ꎬ평폚헢룶늽훨뻍쫇훘뢴짏쏦뗄맽돌ꎬ놾컄늻퓙ힸ쫶ꆣ 쪵횤럖컶뗄뷡맻럖컶 룹뻝쿔뮯횸뇪뷸탐돵듎폅뛈움볛뗄뷡맻럖컶 룹뻝7룶움볛횸뇪뛔100횻막욱뷸탐움볛ꎬ뷡맻실퓚뿉췘벯뫏헽폲뗄막욱벰웤춶폅뛈업탲죧쿂뇭쯹쪾ꎺ 뇭5-5 룹뻝쿔뮯횸뇪뷸탐돵듎폅뛈움볛캻폚헽폲뗄막욱쇐뇭 업탲 막욱듺싫 막욱쏻돆 춶폅뛈 업탲 막욱듺싫막욱쏻돆 춶폅뛈 1 600109 맺뷰횤좯 40 600052 *ST맣쿃 2 600837 몣춨횤좯 41 000488 뎿쏹횽튵 3 601919 훐맺풶퇳 42 000005 ST탇풴 4 000613 ST뚫몣A 43 600100 춬랽막럝 5 600137 ST샋즯 44 000538 퓆쓏냗튩 6 600177 퇅룪뛻 45 600611 듳훚붻춨 7 000002 췲뿆ꏁ 46 600585 몣식쮮쓠 8 600787 훐뒢막럝 47 000729 퇠뺩욡뻆 9 600118 훐맺컀탇 48 600012 췮춨룟쯙 10 600721 ST냙뮨 49 600017 죕헕룛 11 600066 폮춨뿍뎵 50 600316 뫩뚼몽뿕 12 600111 냼룖쾡췁 51 600259 S*ST뻛 13 600143 뷰랢뿆벼 52 600715 ST쯉쇉 14 600136 ST뗀늩 53 600839 쯄뒨뎤뫧 15 600026 훐몣랢햹 54 600088 훐쫓뒫쎽 16 600656 S*ST풴튩 55 601628 훐맺죋쫙 17 000008 ST놦샻살 56 000691 ST떺 18 600832 뚫랽쏷훩 57 000779 ST엉짱 19 600489 훐뷰믆뷰 58 600418 붭뮴웻뎵 20 002024 쯕쓾뗧웷 59 600508 짏몣쓜풴 21 600599 *ST뮨엚 60 000787 *ST뒴훇 22 600548 짮룟쯙 61 000692 ST믝쳬 23 600456 놦막럝 62 600743 SST탒뢣 47
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 24 000089 짮?믺뎡 63 600028 훐맺쪯뮯 25 600009 짏몣믺뎡 64 600597 맢쏷죩튵 26 000982 *ST훐죞 65 000959 쫗룖막럝 27 600209 ST싞뛙 66 000716 ST쓏랽 28 600003 ST뚫놱룟 67 601988 훐맺틸탐 29 601318 훐맺욽낲 68 600645 ST췻뒺뮨 30 600583 몣폍릤돌 69 600083 *ST늩탅 31 600050 훐맺솪춨 70 600011 뮪쓜맺볊 32 600036 헐짌틸탐 71 000058 ST주룱 33 000858 컥솸튺 72 600001 몪떦룖쳺 34 600649 풭쮮막럝 73 600115 뚫랽몽뿕 35 601857 훐맺쪯폍 74 000672 *ST춭돇 36 000039 훐벯벯췅 75 600248 *ST쟘럡 37 600085 춬죊쳃 76 600462 ST쪯 38 000020 ST뮪랢A 77 600207 ST낲닊 39 600108 퇇쪢벯췅 78 600170 짏몣붨릤 퓚쯹톡뗄막욱훐ꎬ막욱뗄춶폅뛈횵퓚쟸볤[ꎭ1,1]횮볤ꎬ춶폅뛈풽뷓뷼1ꎬ춶폅뛈풽룟ꎬ쮵쏷막욱풽뻟폐춶볛횵ꎬ랴횮ꎬ춶폅뛈풽뷓뷼ꎭ1ꎬ춶폅뛈풽뗍ꎬ쮵쏷막욱풽늻뻟폐춶볛횵ꆣ춶폅뛈횵업퓚뗚튻캻뗄쫇ꆰ600109맺뷰횤좯ꆱꎬ룃막쫴폚횤좯탐튵ꎬ뷱쓪1퓂뗗돉릦뷨뿇ꆰ돉뚼붨춶ꆱꎬ좥쓪튵벨뇭쿖솼뫃ꎬ뺻닺쫕틦싊캪ꎥꎬ훷펪튵컱샻죳싊캪ꎥꎬ훷펪튵컱쫕죫ꆢ뺻샻죳뫍뺻닺뗄퓶뎤싊뚼뎬맽200ꎥꎬ웤훐뺻샻죳뗄퓶뎤뎬맽400ꎥꎬ릫쮾ퟜ닺뗄퓶뎤싊뗄퓶뎤튲뷓뷼200ꎥꆣ쇭췢룃막욱좥쓪쎿막쫕틦캪풪ꎬ뻟폐뫜듳뗄춶잱솦ꆣ업퓚뗚뛾캻뗄쫇ꆰ600837몣춨횤좯ꆱ,룃막튲쫇뷨뿇짏쫐뗄횤좯탐튵막욱ꎬ좥쓪튵벨뇭쿖튲뫜늻듭ꎬ뺻닺쫕틦싊뫍훷펪튵컱샻죳싊럖뇰캪ꎺꎥ뫍ꎥꎬ훷펪튵컱쫕죫ꆢ뺻샻죳ꆢ뺻닺뫍ퟜ닺뗄퓶뎤뚼뎬맽200ꎥꎬ쇭췢쎿막쫕틦캪풪ꎬ춶잱솦튲뫜듳ꆣ업퓚뗚죽캻뗄쫇ꆰ601919훐맺풶퇳ꆱꎬ룃막쫴폚쮮짏퓋쫤튵ꎬ좥쓪6퓂뗗쫗랢짏쫐뗄ꎬ뺻닺쫕틦싊뫍훷펪튵컱샻죳싊럖뇰캪ꎥ뫍ꎥꎬ훷펪튵컱쫕죫ꆢ뺻샻죳ꆢ뺻닺뫍ퟜ닺뗄퓶뎤뚼뎬맽100ꎥꎬ웤훐뺻샻죳뗄퓶뎤싊캪ꎥꎬ쎿막쫕틦캪풪ꎬ춶잱솦튲뫜듳ꆣ퓚뻟폐춶볛횵막욱훐ꎬ 업퓚ퟮ뫳튻캻뗄쫇ꆰ600170짏몣붨릤ꆱꎬ룃막쫴폚췁쒾릤돌붨훾튵ꎬ쯤좻룷룶횸뇪뚼폐쯹퓶뎤ꎬ떫뇭쿖욽뎣ꎬ쫊틋맛췻ꆣ 쯹톡뗄ST막욱훐ꎬ춶폅뛈캪헽ꎬ벴실퓚뿉췘벯헽폲훐뗄막욱업탲ꎬ죧쿂 48
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 뇭쯹쪾ꎺ 뇭5-6 퇹놾ST막욱훐돵듎움볛캻폚헽폲쓚막욱쇐뇭 업탲 막욱듺싫 막욱쏻돆 춶폅뛈 업탲 막욱듺싫막욱쏻돆 춶폅뛈 1 000613 ST뚫몣A 15 600715 ST쯉쇉 2 600137 ST샋즯 16 000691 ST떺 3 600721 ST냙뮨 17 000779 ST엉짱 4 600136 ST뗀늩 18 000787 *ST뒴훇 5 600656 S*ST풴튩 19 000692 ST믝쳬 6 000008 ST놦샻살 20 600743 SST탒뢣 7 600599 *ST뮨엚 21 000716 ST쓏랽 8 000982 *ST훐죞 22 600645 ST췻뒺뮨 9 600209 ST싞뛙 23 600083 *ST늩탅 10 600003 ST뚫놱룟 24 000058 ST주룱 11 000020 ST뮪랢A 25 000672 *ST춭돇 12 600052 *ST맣쿃 26 600248 *ST쟘럡 13 000005 ST탇풴 27 600462 ST쪯 14 600259 S*ST뻛 28 600207 ST낲닊 퓚쯹톡뗄ST막욱훐ꎬ춶폅뛈업퓚뗚튻캻뗄쫇ꆰ000613ST뚫몣Aꆱꎬ룃막쫴폚싃망튵ꎬ쯤좻좥쓪죔좻쫇뿷쯰ힴ첬ꎬ떫폫잰쓪쿠뇈ꎬ훷펪튵컱쫕죫ꆢ뺻샻죳뫍막뚫좨틦뚼폐뫜듳뗄퓶뎤ꎬ폐튻뚨뗄춶볛횵ꆣ업퓚ퟮ뫳튻캻뗄쫇ꆰ600207ST낲닊ꆱꎬ룃막쫴폚뗧ퟓ풪웷볾훆퓬튵ꎬ좥쓪훷펪튵컱죔뒦폚뿷쯰ힴ첬ꎬ떫뺻샻죳폐뫜듳퓶뎤ꎬ쫊틋맛췻ꆣ 믹폚움볛횸뇪쳥쾵뿉췘뇤뮻뗄움볛뷡맻럖컶 퓚놾컄훐ꎬ컒쏇뛔쿔뮯횸뇪움볛실퓚뿉췘벯뫏뢺폲훐뗄막욱훘탂릹붨횸뇪쳥쾵ꎬ뷸탐쇋훘탂움볛ꎬ움볛뷡맻업탲죧쿂뇭쯹쪾ꎺ 뇭5-7 돵듎움볛캻폚뢺폲훐뗄ST막욱잱뮯횸뇪움볛뷡맻 업탲 막욱듺싫 막욱쏻돆 쿔뮯횸뇪움볛폅뛈 잱뮯횸뇪움볛폅뛈 1 600198 ST듳쳆 2 600275 *ST닽폣 3 600657 ST쳬쟅 4 600706 *ST뎤탅 5 600854 *ST뒺삼 6 000004 ST맺얩 49
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 7 600757 ST풴랢 8 600698 SST쟡웯 9 000509 SST뮪쯜 10 000906 S*ST붨닄 11 000750 SST벯 12 000981 S*ST삼맢 13 600876 *ST싥늣 14 000010 SST뮪탂 15 600773 ST퇅 16 600608 *ST뮦뿆 17 600503 SST탂훇 18 600217 *ST쟘쇫 19 000011 S*ST컯튵 20 600868 *ST쎷퇣 21 600793 *ST틋횽 22 000628 *ST룟탂 룹뻝짏뇭컒쏇뿉틔뾴돶ꎬ실퓚뿉췘벯뫏헽뿉췘폲뗄막욱폐ꎺST듳쳆ꆢ*ST닽폣ꆢST쳬쟅ꆢ*ST뎤탅뫍*ST뒺삼컥횻막욱ꆣ헢킩막욱쯤좻닆컱ힴ뿶뇭쿖늻쫇뫜뫃ꎬ떫룹뻝벼쫵쓜솦ꆢ맜샭쓜솦ꆢ펪쿺쓜솦뫍닺욷뺺헹솦움볛죔좻폐뫜듳뗄잱솦ꎬ떱헢킩잱퓚횸뇪쿔뮯뫳뻍믡폐뫜뫃뗄뇭쿖ꆣ웤쯼17횻막욱뚼실퓚쇋뿉췘벯뗄뢺컈뚨폲ꆣ 믹폚짏쫐릫쮾뿉췘뇤뮻뗄움볛뷡맻럖컶 룹뻝짏뇭훐컒쏇횪뗀ꎬ뺡맜뾼싇쇋잱퓚뗄풴뫍쓜솦ꎬ폐튻킩막욱죔좻믱뗃쇋뇈뷏뗍뗄움볛횵ꆣ듋쪱컒쏇뾼싇뛔짏쫐릫쮾뷸탐훘ퟩ뿉췘뇤뮻ꆣ릫쮾뺭맽훘ퟩꎬ뿉틔룄짆웤뺭펪ힴ뿶ꎬ믱뗃풴뗄ퟮ듳쫕틦ꆣ퓚17횻뒦폚뿉췘벯뢺폲훐막욱쒿잰뗄훘ퟩힴ뿶죧쿂뇭쯹쪾ꎺ 뇭5-8 믹폚짏쫐릫쮾뿉췘뇤뮻뗄움볛뷡맻 탲뫅 막욱듺싫 막욱쏻돆 훘ퟩힴ뿶 1 000004 ST맺얩 쟩뿶늻쏷 2 600757 ST풴랢 헽퓚훘ퟩ 3 600698 SST쟡웯 쟩뿶늻쏷 4 000509 SST뮪쯜 쟩뿶늻쏷ꎬ벫폐뿉쓜 5 000906 S*ST붨닄 헽퓚훘ퟩ 50
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 6 000750 SST벯 ힼ놸훘ퟩ 7 000981 S*ST삼맢 ힼ놸훘ퟩ 8 600876 *ST싥늣 헽퓚훘ퟩ 9 000010 SST뮪탂 ힼ놸훘ퟩ 10 600773 ST퇅 헽퓚훘ퟩ 11 600608 *ST뮦뿆 쟩뿶늻쏷 12 600503 SST탂훇 헽퓚훘ퟩ 13 600217 *ST쟘쇫 헽퓚훘ퟩ 14 000011 S*ST컯튵 헽퓚훘ퟩ 15 600868 *ST쎷퇣 헽퓚훘ퟩ 16 600793 *ST틋횽 쟩뿶늻쏷ꎬ벫폐뿉쓜 17 000628 *ST룟탂 헽퓚훘ퟩ 룹뻝짏뇭ꎬ쒿잰헽퓚훘ퟩ믲벫폐뿉쓜훘ퟩ뗄막욱퓚캴살붫믡폐뫜뫃뗄쫐뎡뇭쿖ꎬ쯤좻늻쓜뛔웤춶폅뛈뷸탐솿뮯ꎬ떫훘ퟩ뫳듳늿럖뗄막욱실퓚헽뿉췘폲쓚ꎬ뻟폐뫜듳뗄춶볛횵ꆣ 51
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 뗚쇹헂 뷡싛폫햹췻 뷡싛 놾컄퓚잰죋퇐뺿뗄믹뒡짏ꎬ뷡뫏횤좯춶샭싛ꎬ퓋폃뿉췘톧뗄랽램첽쳖퓚막욱춶맽돌훐뗄톡쪱뫍톡막컊쳢ꆣ퓚톡쪱컊쳢짏ꎬ춨맽붨솢막쫐뚯첬컯풪벰웤맘솪몯쫽ꎬ듓뛸에뛏쒳룶붻틗죕쫇럱쫇춶뗄뫏쫊쪱믺ꎬ펦룃닉좡뗄춶닟싔ꎬ늢쟒뛔떱잰막쫐ힴ뿶뷸탐쪵횤럖컶ꎻ퓚톡막컊쳢짏ꎬퟷ헟퓋폃뿉췘벯뗄맘솪몯쫽뫍뿉췘뚯첬움볛랽램ꎬ톡좡뮦짮솽쫐훐늿럖퇹놾막욱뷸탐쪵횤럖컶ꆣ뻟쳥뛸퇔ꎬ뗃떽죧쿂뷡싛ꎺ 1ꆢ춶쪱믺ꆣ퓚낲좫폲싲죫막욱ꎬ벸뫵컞럧쿕ꎬ쟒믱샻뿉맛ꎻ퓚쿠뛔낲좫폲뿉훰늽붨닖ꎬ퓚뿉췘폲틋맛췻ꎬ퓚럧쿕폲싴돶막욱ꎬ믘뇜럧쿕ꆣ 듓쪵횤럖컶뗄뷡맻살뾴ꎬ2008쓪4퓂럝듳뛠쫽붻틗죕뗄막쫐뚼뒦폚쿠뛔낲좫폲ꎬ퓚춶닟싔짏듋쪱뿉틔훰늽붨닖믲돖닖솿퓚1/2ퟳ폒ꆣ쯤좻4퓂틔살막횸튻슷쿂뗸ꎬ헢룶뷡싛쿖퓚뾴살폐뗣욫웄ꎬ떫놾컄뗄럖컶쫇붨솢퓚2007쓪욽뻹막횸뗄믹뒡짏ꎬ 2007쓪뮦쫐욽뻹막횸x=ꎬ4퓂뗄욽뻹막횸풶뗍폚2007쓪뗄욽뻹횵ꎬ뻍솬쏀맺훸쏻춶듳쪦싞뷜쮹4퓂럝튲듳뫴춶A막ꎬ닙뗗훐맺ꆣ떫듓헢훖틢틥짏쮵ꎬ헢훖에뛏튲쫇뫏샭뗄ꆣ2008쓪9퓂듳뛠쫽붻틗죕뗄막쫐뚼뒦폚낲좫폲ꎬ욽뻹막횸뗣ꎬ틑뺭뗸떽2007쓪욽뻹막횸뗣뗄튻냫ꎬ퓚튻욬뻈쫐뫴짹훐ꎬ9퓂19죕헾뢮듲돶뻈쫐ퟩ뫏좭ꎬ쒣탍에뛏듋쪱막쫐캻폚낲좫폲ꎬ퓚춶닟싔짏듋쪱틋붨닖믲돖닖듯1/2틔짏ꆣ 2ꆢ룶막톡퓱ꆣ퓚놾컄뗄뫳냫늿럖ꎬ컒쏇붫뿉췘벯뗄맘솪몯쫽뫍뿉췘뚯첬움볛랽램펦폃폚막욱춶훐뗄톡막컊쳢ꆣ 폃맘솪몯쫽에뛏막욱볛룱쫇럱퓚뿉춶쟸폲ꎬ쫗쿈톡좡에뛏횸뇪늢붨솢헢킩횸뇪뗄맘솪몯쫽ꎬ춨맽폃9퓂19죕뫍4퓂24죕뗄늿럖퇹놾막욱볆쯣맘솪몯쫽ꎬ뷡맻뇭쏷9퓂19죕뻸듳뛠쫽막욱뗄ퟛ뫏맘솪뛈뚼쫇듳폚0ꎬ헢킩막욱뚼놻뗍맀ꎬ듓볛룱짏뾴뚼퓚뿉춶횮쇐ꎻ4퓂24죕뛠쫽막욱죔좻놻룟맀ꎬ벴쪹폐늿럖막욱놻뗍맀ꎬ웤뗍맀뗄돌뛈튲늻룟ꎬ쯤좻컄헂잰냫늿럖죏캪듓뫪맛짏뾴4퓂럝틑쫇춶뗄낲좫웚ꎬ떫뻟쳥떽룶막뛸퇔ꎬ죔좻튪짷훘ꆣ 뛔막욱ퟶ폅뛈움볛헢튻늿럖ꎬ평폚늻춬뿉췘뇤뮻뿉틔뗃떽늻춬뗄움볛뷡맻ꎬ컒쏇쫗쿈샻폃쿔뮯뗄닆컱횸뇪붨솢듽움막욱싛폲쓚뗄뿉췘벯뫏ꎬ춨맽붨솢맘솪몯쫽에뛏룷막욱쫴폚뿉췘벯뫏뗄헽폲ꆢ뢺폲믲쇣뷧ꆣ죴막욱캻폚뿉췘벯뫏뗄헽폲뫍쇣뷧쓚ꎬ퓲쮵쏷쯼쫊뫏춶ꎬ죴막욱캻폚뿉췘벯뫏뗄뢺폲쓚ꎬ퓲쮵쏷쯼늻틋춶ꆣ뛔폚캻폚뢺폲쓚뗄막욱ꎬ컒쏇뛔움볛횸뇪쳥쾵뷸탐뇤뮻ꎬ뾼달웤잱퓚뗄펯샻쓜솦ꎬ뛔웤뷸탐훘탂움볛ꎬ듓뛸에뛏헢킩막욱캻폚뿉췘벯뫏뗄헽뿉췘폲믲뢺컈뚨폲ꆣ캻 52
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 폚헽뿉췘폲훐뗄막욱쯤좻듓닆컱ힴ뿶뾴늻뻟폐춶볛횵ꎬ떫쯼뻟폐잱퓚뗄춶볛횵ꎻ캻폚뢺컈뚨폲훐뗄막욱닆컱ힴ뿶뇭쿖늻병ꎬ튲늻뻟놸잱퓚뗄춶잱솦ꆣퟮ뫳뛔폚뒦폚뢺컈뚨폲훐뗄막욱ꎬ컒쏇뾼싇훘ퟩ틲쯘ꎬ뛔쯼쏇뷸탐뿉췘뇤뮻ꆣ쯤좻뫜뛠ST막욱닆컱ힴ뿶늻뫃ꎬ릫쮾샻폃웤ퟔ짭뗄풴뫍쓜솦튲늻쓜얤떱잰뗄뿷쯰뻖쏦ꎬ떫죴폐췢뷧뗄솦솿뛔웤뷸탐훘ퟩꆢ쫕릺뗈ꎬ쯼쏇튲폐뫜듳뗄춶볛횵ꆣ헢훖쟩뿶컄헂쯤좻늻쓜뺫좷볆쯣춶폅뛈뗄듳킡ꎬ쯼뿉에뛏헢킩막욱뺭훘ퟩ뫳캻폚뿉췘벯뫏뗄헽컈뚨폲쓚ꆣ 햹췻 룹뻝놾컄쒣탍붨솢맽돌틔벰ퟮ뫳뗄퇐뺿ퟜ뷡ꎬ뛔뫳탸퇐뺿쳡돶틔쿂쮼슷ꎺ 1ꆢ퓚퓋폃막쫐ힴ뿶컯풪쒣탍뷸탐쪵횤럖컶쪱ꎬ놾컄볙뚨2007쓪막횸럾듓헽첬럖늼ꎬ헢훖볙뚨쫇캪쇋볆쯣뗄랽뇣ꆣ쪵볊짏2007쓪막횸듓쓪돵뗄뗣헇떽쓪훕뗄뗣ꎬ막횸튻슷짏헇ꆣ훁폚막횸뺿뺹럾듓쪲쎴럖늼ꎬ뿉틔볌탸첽쳖ꆣ 2ꆢ막쫐ힴ뿶컯풪쒣탍뗄잰쳡쫇컒맺뗄막쫐쫇룶헾닟쫐ꎬ샻폃막횸뫍믹놾쏦ꆢ헾닟쏦벰쿻쾢쏦뗄틲쯘릹붨쒣탍ꎬ퓚튻룶돉쫬뗄쫐뎡훐ꎬ막횸뗄뇤뮯펦룃랴펳쪵쳥뺭볃뗄ퟟ쫆ꎬퟛ뫏뾼싇쪵쳥뺭볃ꆢ헾닟쏦ꆢ쿻쾢쏦뗈틲쯘뗄쒣탍튲쫇튻룶퇐뺿랽쿲ꆣ 3ꆢ놾컄폃뿉췘뚯첬움볛랽램쳖싛막욱춶폅뛈ꎬ에뛏웤쫇럱횵뗃춶ꎬ떫뿉췘뚯첬움볛랽램쾵ퟷ헟닝뒴ꎬ횻듓뿉췘벯뫏뷇뛈뷸탐쳖싛ꎬ뮹쎻폐뛔뚯첬움볛뗄쫽톧싟벭퓋쯣맘쾵뷸탐뷸튻늽쫡샭뫍싛횤ꎬ튲쎻폐붫믹풪샭싛폫뿉췘벯뫏샭싛쿠뷡뫏ꎬ헢랽쏦뿉틔뷸튻늽뷸탐췘햹ꆣ 4ꆢ놾컄뫳냫늿럖훘뗣퇐뺿죧뫎톡막ꎬ튲뻍쫇죧뫎싲죫막욱ꎬ뛔폚죧뫎싴돶막욱튲쫇막욱춶뗄훘튪뮷뷚ꎬ헢쫇놾컄쎻폐쳖싛뗄컊쳢ꎬ죧뫎폃뿉췘랽램좥퇐뺿죧뫎싴돶막욱튲뿉틔ퟷ캪튻룶퇐뺿랽쿲ꆣ 53
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쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 뢽 슼 뢽슼Aꎺ막욱잱퓚볛횵볒듲럖쟩뿶벰폅뛈움볛뷡맻 막욱듺싫 막욱쏻돆 c 벼쫵쓜솦 맜샭쓜솦펪쿺쓜솦 닺욷뺺헹솦 c' 600217 *ST쟘쇫 600198 ST듳쳆 600706 *ST뎤탅 0 000011 S*ST컯튵 0 0 0 600868 *ST쎷퇣 600757 ST풴랢 0 0 000010 SST뮪탂 0 600876 *ST싥늣 0 0 000509 SST뮪쯜 600698 SST쟡웯 000906 S*ST붨닄 600854 *ST뒺삼 000004 ST맺얩 600608 *ST뮦뿆 -1 000750 SST벯 000981 S*ST삼맢 600503 SST탂훇 600793 *ST틋횽 600275 *ST닽폣 0 000628 *ST룟탂 600657 ST쳬쟅 600773 ST퇅 뢽슼Bꎺ닥춼쯷틽 춼2-1 컯풪랢즢탔쪾틢춼 춼2-2 움볛횸뇪쳥쾵쇢탎짺돉맽돌쪾틢춼 춼4-1 짏쫐릫쮾쿔뮯춶폅뛈퓌몬쾵 춼4-2짏쫐릫쮾쿔뮯춶폅뛈퓌몬쾵 58
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 뢽슼Cꎺ뢽뇭쯷틽 뇭2-1 움볛횸뇪쳥쾵짺돉뗄릲럖컶뿲볜 뇭3-1 막쫐컯풪믹놾쏦ꆢ헾닟쏦ꆢ쿻쾢쏦틲쯘맘솪몯쫽 뇭3-2 2008쓪9퓂뮦쫐럧쿕럖컶뇭 뇭3-3 2008쓪4퓂뮦쫐럧쿕럖컶뇭 뇭4-1 2008쓪9퓂19죕퇹놾막욱막볛에뛏업탲뇭 뇭4-2 2008쓪4퓂24죕퇹놾막욱막볛에뛏업탲뇭 뇭5-1 짏쫐릫쮾춶볛횵펰쿬틲쯘잱쿔릲럖컶뇭 뇭5-2 춶폅뛈움볛뗄쿔뮯횸뇪쳥쾵 뇭5-3 잱뮯횸뇪쳥쾵좨훘에뛏뻘헳 뇭5-4 막욱잱퓚춶볛횵펰쿬틲쯘움럖뇪ힼ 뇭5-5 룹뻝쿔뮯횸뇪뷸탐돵듎폅뛈움볛캻폚헽폲뗄막욱쇐뇭 뇭5-6 퇹놾ST막욱훐돵듎움볛캻폚헽폲쓚막욱쇐뇭 뇭5-7 돵듎움볛캻폚뢺폲훐뗄ST막욱잱뮯횸뇪움볛뷡맻 뇭5-8 믹폚짏쫐릫쮾뿉췘뇤뮻뗄움볛뷡맻 뢽슼Dꎺ톧캻짪쟫죋퓚뻍뛁쮶쪿톧캻웚볤랢뇭뗄톧쫵싛컄ꎺ [1] 믹폚컯풪럖컶뗄뎬뎣맦랢햹랽낸움볛뇪ힼ퇐뺿ꎬ춳볆폫뻶닟ꎬ2008ꎬ11. [2] 움볛횸뇪쳥쾵뚯첬탞헽뗄뿉췘랽램돵첽ꎬ춳볆폫뻶닟ꎬ2008ꎬ12. 59
쓏뺩닆뺭듳톧쮶쪿톧캻싛컄 뫳 볇 퓚헢욪쮶쪿싛컄벴붫룩뇊횮볊ꎬ믘쫗헻룶킴ퟷ샺돌ꎬ쯼늻뷶쇴쿂쇋컒탁샍뗄몹쮮ꎬ뮹쓽뻛ퟅ탭뛠죋뗄맘뮳뫍냯훺ꎬ퓚듋컒짮짮뗘룐벤쯻쏇ꎡ 쫗쿈튪룐킻컒뗄떼쪦퇮틦쏱뷌쫚ꎬ쯻퇏뷷뗄훎톧첬뛈틔벰퇐뺿짺웚볤뛔컒뗄맘뮳뫍뷌믥쇮컒쫜틦럋잳ꆣ싛컄듓톡쳢뾪쪼뻍뗃떽퇮샏쪦뗄쾤탄횸떼ꎬ퓚싛컄킴ퟷ맽돌훐쯻쪼훕뛔컒퇏룱튪쟳ꎬ훰ퟖ훰뻤뺫탄퓄룄싛컄ꎬ늢쳡돶놦맳뗄탞룄틢볻ꎬ쪹싛컄뗃틔쮳샻췪돉ꎬ늢쟒퓚듋맽돌훐컒튲뗃떽쇋뫜듳뗄쫕믱ꆣ퇮틦쏱뷌쫚룟짐뗄죋룱뫍퇏뷷뗄훎톧ퟷ럧ꎬ짮짮룐좾ퟅ컒ꎬ쪹컒훕짺쫜틦ꆣ 춬쪱컒튲룐킻뺭볃톧풺뗄룷캻샏쪦뫍춬톧ꎬ뛁퇐웚볤쯻쏇퓚짺믮짏뫍톧쾰짏뚼룸쇋컒벫듳뗄냯훺ꆣ룐킻컒뗄횿폑볖췾ꆢ훜샻ꆢ풭뚫믔뫍돂횮뎬ꎬ틔벰쯹폐뺭볃톧풺뗄퇐뺿짺춬톧ꎬ뫍쯻쏇뗄붻쇷벫듳뗘췘뿭쇋컒뗄쮼슷ꎬ뫍쯻쏇횮볤뗄폑틪쫇컒죋짺쪮럖놦맳뗄닆뢻ꆣ ퟮ뫳ꎬ평훔뗘룐킻냙쎦횮훐움퓄싛컄뫍닎볓듰뇧뗄룷캻뷌쫚ꆢ볒ꎡ 60
