Multiple Attribute Decision Making Based on Hesitant Fuzzy Einstein Geometric Aggregation Operators

被引：10

作者：

Zhou, Xiaoqiang ^{[1
,2
]}

Li, Qingguo ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

[2] Hunan Inst Sci & Technol, Coll Math, Yueyang 414006, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2014年

基金：

中国国家自然科学基金;

关键词：

INFORMATION AGGREGATION; AVERAGING OPERATORS; BONFERRONI MEANS; OWA OPERATOR; SETS; WEIGHTS; ENVIRONMENT; ENTROPY; MODELS;

D O I：

10.1155/2014/745617

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We first define an accuracy function of hesitant fuzzy elements (HFEs) and develop a new method to compare two HFEs. Then, based on Einstein operators, we give some new operational laws on HFEs and some desirable properties of these operations. We also develop several new hesitant fuzzy aggregation operators, including the hesitant fuzzy Einstein weighted geometric (HFEWG(epsilon)) operator and the hesitant fuzzy Einstein ordered weighted geometric (HFEWG(epsilon)) operator, which are the extensions of the weighted geometric operator and the ordered weighted geometric (OWG) operator with hesitant fuzzy information, respectively. Furthermore, we establish the connections between the proposed and the existing hesitant fuzzy aggregation operators and discuss various properties of the proposed operators. Finally, we apply the HFEWG(epsilon) operator to solve the hesitant fuzzy decision making problems.

引用

页数：14

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