A new parametric method for ranking fuzzy numbers

被引：32

作者：

Shureshjani, Roohollah Abbasi ^{[1
]}

Darehmiraki, Majid ^{[1
]}

机构：

[1] Khatam Al Anbia Univ Technol, Dept Math, Khouzestan, Iran

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2013年 / 24卷 / 03期

关键词：

Fuzzy number; Ranking fuzzy numbers; alpha-cuts; AREA;

D O I：

10.1016/j.indag.2013.02.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Ranking fuzzy numbers is important in decision-making, data analysis, artificial intelligence, economic systems and operations research. In this paper, to overcome the limitations of the existing studies and simplify the computational procedures an approach to ranking fuzzy numbers based on a-cuts is proposed. The approach is illustrated by numerical examples, showing that it overcomes several shortcomings such as the indiscriminative and counterintuitive behavior of existing fuzzy ranking approaches. C) 2013 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

引用

页码：518 / 529

页数：12

共 30 条

[1]

[Anonymous], 1992, Fuzzy Multiple Attribute Decision Making: Methods and Applications

[2]

[Anonymous], 1991, Introduction to Fuzzy Arithmetic

[3] A REVIEW OF SOME METHODS FOR RANKING FUZZY SUBSETS [J].

BORTOLAN, G ;

DEGANI, R .

FUZZY SETS AND SYSTEMS, 1985, 15 (01) :1-19

[4] Analyzing fuzzy risk based on a new fuzzy ranking method between generalized fuzzy numbers [J].

Chen, Shyi-Ming ;

Sanguansat, Kata .

EXPERT SYSTEMS WITH APPLICATIONS, 2011, 38 (03) :2163-2171

[5] Fuzzy risk analysis based on ranking generalized fuzzy numbers with different heights and different spreads [J].

Chen, Shyi-Ming ;

Chen, Jim-Ho .

EXPERT SYSTEMS WITH APPLICATIONS, 2009, 36 (03) :6833-6842

[6] A new approach for ranking fuzzy numbers by distance method [J].

Cheng, CH .

FUZZY SETS AND SYSTEMS, 1998, 95 (03) :307-317

[7] AN INDEX FOR ORDERING FUZZY NUMBERS [J].

CHOOBINEH, F ;

LI, HS .

FUZZY SETS AND SYSTEMS, 1993, 54 (03) :287-294

[8] Ranking fuzzy numbers with an area between the centroid point and original point [J].

Chu, TC ;

Tsao, CT .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 43 (1-2) :111-117

[9] Ranking fuzzy numbers using α-weighted valuations [J].

Detyniecki, M ;

Yager, RR .

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2000, 8 (05) :573-591

[10] RANKING ALTERNATIVES USING FUZZY NUMBERS - A COMPUTATIONAL APPROACH [J].

DIAS, OP .

FUZZY SETS AND SYSTEMS, 1993, 56 (02) :247-252

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