Application of weighting functions to the ranking of fuzzy numbers

被引：20

作者：

Saeidifar, A. ^{[1
]}

机构：

[1] Islamic Azad Univ, Arak Branch, Fac Sci, Dept Stat, Arak, Iran

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 05期

关键词：

Fuzzy numbers; Ranking; Weighted interval approximation; Weighted point approximation; INTERVAL APPROXIMATION; REASONABLE PROPERTIES;

D O I：

10.1016/j.camwa.2011.07.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proposes a new ranking method for fuzzy numbers, which uses a defuzzification of fuzzy numbers and a weighting function. Following Saeidifar and Pasha (2008), first, we define a weighted distance measure on fuzzy numbers, and then, by minimizing this distance, the weighted interval and point approximations of fuzzy numbers are obtained. These indices are applied to rank the fuzzy numbers. This method is new and interesting for ranking fuzzy numbers, and it can be applied for solving and optimizing engineering and economics problems in a fuzzy environment. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2246 / 2258

页数：13

共 28 条

[1] Ranking of fuzzy numbers by sign distance [J].

Abbasbandy, S. ;

Asady, B. .

INFORMATION SCIENCES, 2006, 176 (16) :2405-2416

[2] Ranking fuzzy numbers by distance minimization [J].

Asady, B. ;

Zendehnam, A. .

APPLIED MATHEMATICAL MODELLING, 2007, 31 (11) :2589-2598

[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] RANKING FUZZY NUMBERS WITH MAXIMIZING SET AND MINIMIZING SET [J].

CHEN, SH .

FUZZY SETS AND SYSTEMS, 1985, 17 (02) :113-129

[5]

Chen SJ, 2003, CYBERNET SYST, V34, P109, DOI [10.1080/01969720302866, 10.1080/01969720390180230]

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

Cheng, CH .

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

[7] 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

[8] 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

[9] METRIC-SPACES OF FUZZY-SETS [J].

DIAMOND, P ;

KLOEDEN, P .

FUZZY SETS AND SYSTEMS, 1990, 35 (02) :241-249

[10] OPERATIONS ON FUZZY NUMBERS [J].

DUBOIS, D ;

PRADE, H .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1978, 9 (06) :613-626

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