Ranking fuzzy numbers with an area between the centroid point and original point

被引:362
作者
Chu, TC
Tsao, CT
机构
[1] So Taiwan Univ Technol, Dept Ind Management, Yung Kang 710, Tainan County, Taiwan
[2] Natl Ping Tung Inst Commerce, Dept Finance, Pingtung 900, Taiwan
关键词
ranking; fuzzy numbers; area; centroid point;
D O I
10.1016/S0898-1221(01)00277-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
To improve the ranking method of Lee and Li [1], Cheng [2] proposed the coefficient of variation (CV index). Shortcomings are also found in the CV index. Cheng [2] also proposed the distance method to improve the ranking method of Murakami et al. However, the distance method is not sound either. Moreover, the CV index contradicts the distance method in ranking some fuzzy numbers. Therefore, to overcome the above shortcomings, we propose ranking fuzzy numbers with the area between the centroid point and original point. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:111 / 117
页数:7
相关论文
共 17 条
[1]  
[Anonymous], 1992, LECT NOTES ECON M, DOI DOI 10.1007/978-3-642-46768-4_5
[2]   A REVIEW OF SOME METHODS FOR RANKING FUZZY SUBSETS [J].
BORTOLAN, G ;
DEGANI, R .
FUZZY SETS AND SYSTEMS, 1985, 15 (01) :1-19
[3]   A new approach for ranking fuzzy numbers by distance method [J].
Cheng, CH .
FUZZY SETS AND SYSTEMS, 1998, 95 (03) :307-317
[4]   AN INDEX FOR ORDERING FUZZY NUMBERS [J].
CHOOBINEH, F ;
LI, HS .
FUZZY SETS AND SYSTEMS, 1993, 54 (03) :287-294
[5]   RANKING ALTERNATIVES USING FUZZY NUMBERS - A COMPUTATIONAL APPROACH [J].
DIAS, OP .
FUZZY SETS AND SYSTEMS, 1993, 56 (02) :247-252
[6]   OPERATIONS ON FUZZY NUMBERS [J].
DUBOIS, D ;
PRADE, H .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1978, 9 (06) :613-626
[7]   Ranking and defuzzification methods based on area compensation [J].
Fortemps, P ;
Roubens, M .
FUZZY SETS AND SYSTEMS, 1996, 82 (03) :319-330
[8]  
JAIN R, 1976, IEEE T SYST MAN CYB, V6, P698
[9]  
Jain R., 1978, INT J SYST SCI, V8, P1
[10]  
Kauffman A., 1991, Introduction to Fuzzy Arithmetic: Theory and Application