Ranking and defuzzification methods based on area compensation

被引:372
作者
Fortemps, P
Roubens, M
机构
[1] UNIV LIEGE,INST MATH,B-4000 LIEGE,BELGIUM
[2] FAC POLYTECH MONS,B-7000 MONS,BELGIUM
关键词
fuzzy numbers; ordering;
D O I
10.1016/0165-0114(95)00273-1
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We present some interesting properties related to the area compensation procedure to compare fuzzy numbers. It has been proved that this method produces more than a fuzzy interval order: it induces a ranking of fuzzy numbers. Some further results are given about the transitivity property and about computational aspects. Extensions to non-normal fuzzy numbers and fuzzy quantities are also proposed.
引用
收藏
页码:319 / 330
页数:12
相关论文
共 23 条
[1]  
[Anonymous], 1992, LECT NOTES ECON M, DOI DOI 10.1007/978-3-642-46768-4_5
[2]  
[Anonymous], 1987, FUZZY SETS APPL SELE
[3]  
Baldwin J. F., 1979, Fuzzy Sets and Systems, V2, P213, DOI 10.1016/0165-0114(79)90028-9
[4]  
BASS MS, 1977, AUTOMATICA, V13, P47
[5]   A REVIEW OF SOME METHODS FOR RANKING FUZZY SUBSETS [J].
BORTOLAN, G ;
DEGANI, R .
FUZZY SETS AND SYSTEMS, 1985, 15 (01) :1-19
[6]  
BUCKLEY JJ, 1985, FUZZY SET SYST, V15, P21, DOI 10.1016/0165-0114(85)90013-2
[7]   RANKING FUZZY NUMBERS WITH MAXIMIZING SET AND MINIMIZING SET [J].
CHEN, SH .
FUZZY SETS AND SYSTEMS, 1985, 17 (02) :113-129
[8]   AN INDEX FOR ORDERING FUZZY NUMBERS [J].
CHOOBINEH, F ;
LI, HS .
FUZZY SETS AND SYSTEMS, 1993, 54 (03) :287-294
[9]   A PROCEDURE FOR RANKING FUZZY NUMBERS USING FUZZY RELATIONS [J].
DELGADO, M ;
VERDEGAY, JL ;
VILA, MA .
FUZZY SETS AND SYSTEMS, 1988, 26 (01) :49-62
[10]   RANKING ALTERNATIVES USING FUZZY NUMBERS - A COMPUTATIONAL APPROACH [J].
DIAS, OP .
FUZZY SETS AND SYSTEMS, 1993, 56 (02) :247-252