Entropy/cross entropy-based group decision making under intuitionistic fuzzy environment

被引：234

作者：

Xia, Meimei ^{[1
]}

Xu, Zeshui ^{[1
]}

机构：

[1] Southeast Univ, Sch Econ & Management, Nanjing 211189, Peoples R China

来源：

INFORMATION FUSION | 2012年 / 13卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Intuitionistic fuzzy values; Weight vector; Entropy; Cross entropy; Aggregation operator; Group decision making; GROUP-PREFERENCE AGGREGATION; VAGUE SET-THEORY; PATTERN-RECOGNITION; SIMILARITY MEASURES; OWA OPERATOR; INFORMATION; WEIGHTS; UTILITY; AHP; DIVERGENCE;

D O I：

10.1016/j.inffus.2010.12.001

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We study the group decision making problem under intuitionistic fuzzy environment. Based on entropy and cross entropy, we give two methods to determine the optimal weights of attributes, and develop two pairs of entropy and cross entropy measures for intuitionistic fuzzy values. Then, we discuss the properties of these measures and the relations between them and the existing ones. Furthermore, we introduce three new aggregation operators, which treat the membership and non-membership information fairly, to aggregate intuitionistic fuzzy information. Finally, several practical examples are presented to illustrate the developed methods. (C) 2011 Published by Elsevier B.V.

引用

页码：31 / 47

页数：17

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