Induced generalized hesitant fuzzy Shapley hybrid operators and their application in multi-attribute decision making

被引：42

作者：

Meng, Fanyong ^{[1
,2
]}

Chen, Xiaohong ^{[1
]}

Zhang, Qiang ^{[3
]}

机构：

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

[2] Qingdao Technol Univ, Sch Management, Qingdao 266520, Peoples R China

[3] Beijing Inst Technol, Sch Management & Econ, Beijing 100081, Peoples R China

来源：

APPLIED SOFT COMPUTING | 2015年 / 28卷

基金：

美国国家科学基金会;

关键词：

Multi-attribute decision making; Hesitant fuzzy set; Grey relational analysis (GRA) method; Shapley function; RELATIONAL ANALYSIS METHOD; AGGREGATION OPERATORS;

D O I：

10.1016/j.asoc.2014.11.017

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this study, two induced generalized hesitant fuzzy hybrid operators called the induced generalized hesitant fuzzy Shapley hybrid weighted averaging (IG-HFSHWA) operator and the induced generalized hesitant fuzzy Shapley hybrid geometric mean (IG-HFSHGM) operator are defined. The prominent characteristics of these two operators are that they do not only globally consider the importance of elements and their ordered positions, but also overall reflect their correlations. Furthermore, when the weight information of the attributes and the ordered positions is partly known, using grey relational analysis (GRA) method and the Shapley function models for the optimal fuzzy measures on an attribute set and on an ordered set are respectively established. Finally, an approach to hesitant fuzzy multi-attribute decision making with incomplete weight information and interactive conditions is developed, and an illustrative example is provided to show its practicality and effectivity. (C) 2014 Published by Elsevier B.V.

引用

页码：599 / 607

页数：9

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