A Fuzzy Multicriteria Group Decision-Making Method with New Entropy of Interval-Valued Intuitionistic Fuzzy Sets

被引：11

作者：

Chen, Xiaohong ^{[1
]}

Yang, Li ^{[1
]}

Wang, Pei ^{[1
]}

Yue, Wei ^{[1
]}

机构：

[1] Cent S Univ, Sch Business, Changsha 410083, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2013年

基金：

中国国家自然科学基金;

关键词：

SIMILARITY MEASURE; SUPPLIER SELECTION; VAGUE SETS;

D O I：

10.1155/2013/827268

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new entropy measure of interval-valued intuitionistic fuzzy set (IVIFS) is proposed by using cotangent function, which overcomes several limitations in the existing methods for calculating entropy of IVIFS. The efficiency of the new entropy is demonstrated by comparing it with several classical entropies. Moreover, an entropy weight model is established to determine the entropy weights for fuzzy multicriteria group decision-making (FMCGDMs) problems, which depends on incomplete weight information of criteria in IVIFSs setting. Finally, an illustrative supplier selection problem is used to demonstrate the practicality and effectiveness of the proposed method. It is capable of the handling the FMCGDM problems with incomplete known weights for criteria.

引用

页数：8

共 36 条

[1]

[Anonymous], 2010, Intuitionistic Fuzzy Sets: Theory and Applications

[2] INTERVAL VALUED INTUITIONISTIC FUZZY-SETS [J].

ATANASSOV, K ;

GARGOV, G .

FUZZY SETS AND SYSTEMS, 1989, 31 (03) :343-349

[3] INTUITIONISTIC FUZZY-SETS [J].

ATANASSOV, KT .

FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96

[4] A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method [J].

Boran, Fatih Emre ;

Genc, Serkan ;

Kurt, Mustafa ;

Akay, Diyar .

EXPERT SYSTEMS WITH APPLICATIONS, 2009, 36 (08) :11363-11368

[5] Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets [J].

Burillo, P ;

Bustince, H .

FUZZY SETS AND SYSTEMS, 1996, 78 (03) :305-316

[6] Vague sets are intuitionistic fuzzy sets [J].

Bustince, H ;

Burillo, P .

FUZZY SETS AND SYSTEMS, 1996, 79 (03) :403-405

[7] A multicriteria group decision-making approach based on interval-valued intuitionistic fuzzy sets: A comparative perspective [J].

Chen, Ting-Yu ;

Wang, Hsiao-Pin ;

Lu, Yen-Yu .

EXPERT SYSTEMS WITH APPLICATIONS, 2011, 38 (06) :7647-7658

[8] Determining objective weights with intuitionistic fuzzy entropy measures: A comparative analysis [J].

Chen, Ting-Yu ;

Li, Chia-Hang .

INFORMATION SCIENCES, 2010, 180 (21) :4207-4222

[9]

Cornelis C., 2003, Proceedings of the 3rd Int. Conf. on Fuzzy Logic and Technology, P159

[10] DEFINITION OF NONPROBABILISTIC ENTROPY IN SETTING OF FUZZY SETS THEORY [J].

DELUCA, A ;

TERMINI, S .

INFORMATION AND CONTROL, 1972, 20 (04) :301-&

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