252009, Vol. 30, No. 07
1 1 1 2 1 ,*
(1. 200444 2. 100088)
Application of Fuzzy Integrated Evaluation Method with M ( , +) Operator to Analyze Sensory Quality of Instant Noodle
YANG Ying-jun1 GAO Hai-yan1 OUYANG Yi-fei1 ZHAO Lei2 YIN Jing-yuan1,*
( Center, College of Life Science, Shanghai University, Shanghai 200444, China
and Agricultural Standardization Institute, China National Institute of Standardization, Beijing 100088, China)
Abstract A fuzzy integrity evaluation model based on instant noodle grade table was proposed for instant noodle sensory
quality. Results showed that analysis on instant noodle sensory by using the fuzzy integrated evaluation model was effective
and objective. Finally, some improvements were proposed on the usage of 100 percentage scale evaluation in instant noodle
sensory quality.
Key words instant noodle sensory analysis fuzzy integrity evaluation
A 1002-6630(2009)07-0025-04
2008-05-21
(2006BAK04A05)
(1975-)
E-mail cloud4986@
* (1955-) E-mail JYYin@
[1]
,
Zadeh[2]
[3-4] [5] [6]
[7-14] [15] [16-18] [19]
[20] [21]
[1,22-23]
2009, Vol. 30, No. 0726
SB/T 10137 93
85 75
75
3 SB/T 10137 93
( 1) 4 85
1 1 ( ) 75 1
2 1 ( )
2
1 2
3 4
1 2 3 4
1 0
8 10 6 8 4 6 1 4
10 8 10 6 8 4 6 1 4
5 5 3 1 3
5 5 3 1 3
( ) 2 0 17 20 12 17 9 12 1 9
2 5 21 25 16 21 10 16 1 10
2 0
17 20 12 17 9 12 1 9
5 10min 5 3 1 3
Table 1 Sensory evaluation standards
1 2 3 4
21
Table 2 Partition table of instant noodles sensory analysis data
1 2
U = { u 1 u 2 u n } = {
} (1)
V={v 1 v 2 v m}={ 1 2 3
4} (2)
U V 2 A
u i( i = 1 2 8 ) 8
v i( i = 1 2 4 ) 4
a ij=f j(x i)
i = 1 2 n j = 1 2 m
ui(i=1 2
n) u i v k r i k u i
v k
(1) ui ail ( 1
) r1k=1 ri2=ri3=ri4=0( ui
1 0 )
(2) ui aim ( m
) ri4=1 ri1=ri2=ri3=0( ui
1 0 )
(3) ail+1 ui ail ( )
V (r i1 r i2 r im) U V
f f R
R 8 ( ) 4
( ) rij(1 i 8 1 j 4)
i j
ui ail+1 ail ui
ril = ril+1= rik=0 k l k l 1
ail ail+1 ui ail+1
R=
r11 r12 r1m
r21 r22 r2m
rn1 rn2 rnm
A=
u 1 a11 a12 a1m
u 2 a21 a22 a2m
u n an1 an2 anm
v1 v2 vm
=
(3)
(4)
7期-基础-三校.p65 2009-4-28, 16:4926
272009, Vol. 30, No. 07
ı
(Thome L. Satty) 9
[24]
A
(5)
S i
A=[ ] (6)
b i=A R i( i = 1 2 3 4 R i ( 4 )
i ) (7)
= (8)
i Ki (Ki
k )
(8) ki(1 ki 4) d
e f g
4 h
bj(bj d e
f g ) 4 c
(8) 5 c
a h
( h )
WGD005 HJD009 KSF010
HZW003 JMLD020 HJD010 JMLD005
KSF012 WGD014 JMLD005
(h
) 2 3
W G D 0 0 5 H J D 0 0 9
KSF012 WGD014 KSF015 BX006 BX005
1 HZW003 18
2 JMLD020 18
3 HJD004
4 KSF010 17
5 HJD010 85
6 JMLD005 9 85
7 KSF015
8 KSF012 8
9 WGD014
10 WGD005 7
11 HJD009 7
12 BX002
13 JMLY013 18
14 XKJ012 4 75
15 BX005
16 BX006
17 FMD004
18 JMLY012 4
19 XKJ004 17
20 LDM013 4 17
21 XKJ003 4
Table 4 Panel scoring data of instant noodle samples
1 2 3 4
(a) (b) (c) (d) (e) (f) (g)
1 HZW003 1 1 0 0
2 JMLD020 1 1 0 0
3 HJD004 1 1 0 0
4 KSF010 1 1 0 0
5 HJD010 85 1 1 0 0
6 JMLD005 85 1 1 0 0
7 KSF015 2 1 0 0
8 KSF012 2 1 0
9 WGD014 2 1 0
10 WGD005 2 1 0
11 HJD009 2 1 0
12 BX002 2 2
13 JMLY013 2 2 0
14 XKJ012 75 2 2 0
15 BX005 3 2
16 BX006 3 2
17 FMD004 2 3 0
18 JMLY012 3 3
19 XKJ004 3 3
20 LDM013 3 3
21 XKJ003 3 3
Table 5 Results of fuzzy integrity evaluation analysis and
summation analysis
ai Si/100
ki=min {K bj 1 k m}
k
j=1
bj
ki
j=1
4
5 5 a b
c
5
ki
j=1
7期-基础-三校.p65 2009-4-28, 16:4927
2009, Vol. 30, No. 0728
100
[25]
1 9
3 5 7 9
2 3 1
2
100
[1] , , , .
[J]. , 2006(9): 27-29.
[2] ZZDEH L A. Fuzzy sets[J]. Inform Control, 1965, 8(3): 338-353.
[3] , . 1:500
[J]. , 2007(4): 25-27.
[4] , . [J].
, 2007(3): 1-2.
[5] , . [J]. ,
2004: 1-4.
[6] , . [J].
, 2007(8): 826-828.
[7] . [D]. : 2005:
26-64.
[8] , , , .
[J]. : , 2007, 37(6): 649-651,
[9] , , .
[J]. , 2006(1): 41-48.
[10] ONKAL-ENGIN G, DEMIR I, HIZ H. Assessment of urban air qualityin
Istanbul using fuzzy synthetic evaluation[J]. Atmospheric Environment,
2004, 38: 3809-3815.
[11] DAHIYA S, SINGH B, GAUR S, et al. Analysis of groundwater quality
using fuzzy synthetic evaluation[J] . Journal of Hazardous Materials,
2007, 147: 938-946.
[12] DESPANDE A W, RAJ D V, KHANNA P. Fuzzy description of river
water quality[C]//Paper for International Conference EUFIT, 1996.
[13] DESPANDE A W, RAJ D V, KHANNA P. Agreement Index forwater
consumption[C]//Paper for International Conference EUFIT, 1996.
[14] MUJUMDAR P P, SASHIKUMAR K. A fuzzy risk approach for sea-
sonal water quality management of river water[J]. Water Resour Res,
2002, 38: 1004.
[15] . [J]. , 2005,
20(3): 91-93.
[16] . [J]. ,
2005, 3(2): 113-115.
[17] . [J].
, 2007, 29(5): 48-51.
[18] , . [J].
, 2005, 21(4): 31-34.
[19] , , , . [J].
, 2005, 30(1): 97-99.
[20] , . .
[M]. : , 2007: 877-879.
[21] LI L J, SHEN L T. An improved multilevel fuzzy comprehensive
evaluation algorithm for security performance[J]. The Journal of China
Universities of Posts and Telecomunications, 2006, 13(4): 48-53.
[22] , . [J].
, 2006(1): 20-21.
[23] , , .
[J]. , 2005, 33(6): 42-43.
[24] . [D]. :
, 2006: 28.
[25] . [J]. , 1997(2): 1-4.