A Proposed Preference Index For Ranking Fuzzy Numbers Based On α-Optimistic Values

被引:0
作者
Shams, Mehdi [1 ]
Hesamian, Gholamreza [2 ]
机构
[1] Univ Kashan, Dept Stat, Sch Math, Kashan, Iran
[2] Payame Noor Univ, Dept Math Sci, Tehran, Iran
关键词
alpha-Optimistic value; Fuzzy ranking; Preference index; Roboustness; MAXIMIZING SET; DECISION-MAKING; AREA; DEFUZZIFICATION;
D O I
10.22130/scma.2018.73477.303
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we propose a novel method for ranking a set of fuzzy numbers. In this method a preference index is proposed based on alpha-optimistic values of a fuzzy number. We propose a new ranking method by adopting a level of credit in the ordering procedure. Then, we investigate some desirable properties of the proposed ranking method.
引用
收藏
页码:189 / 201
页数:13
相关论文
共 50 条
[1]   Ranking of fuzzy numbers by sign distance [J].
Abbasbandy, S. ;
Asady, B. .
INFORMATION SCIENCES, 2006, 176 (16) :2405-2416
[2]   FUZZY DECISION TREES [J].
ADAMO, JM .
FUZZY SETS AND SYSTEMS, 1980, 4 (03) :207-219
[3]  
[Anonymous], APPL FUZZY ARITHMETI
[4]  
[Anonymous], 2004, UNCERTAINTY THEORY
[5]   Ranking fuzzy numbers by distance minimization [J].
Asady, B. ;
Zendehnam, A. .
APPLIED MATHEMATICAL MODELLING, 2007, 31 (11) :2589-2598
[6]  
Baldwin J. F., 1979, Fuzzy Sets and Systems, V2, P213, DOI 10.1016/0165-0114(79)90028-9
[7]   A REVIEW OF SOME METHODS FOR RANKING FUZZY SUBSETS [J].
BORTOLAN, G ;
DEGANI, R .
FUZZY SETS AND SYSTEMS, 1985, 15 (01) :1-19
[8]   RANKING OF FUZZY-SETS BASED ON THE CONCEPT OF EXISTENCE [J].
CHANG, PT ;
LEE, ES .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1994, 27 (9-10) :1-21
[9]   An approximate approach for ranking fuzzy numbers based on left and right dominance [J].
Chen, LH ;
Lu, HW .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 41 (12) :1589-1602
[10]   RANKING FUZZY NUMBERS WITH MAXIMIZING SET AND MINIMIZING SET [J].
CHEN, SH .
FUZZY SETS AND SYSTEMS, 1985, 17 (02) :113-129