Some hesitant fuzzy geometric operators and their application to multiple attribute group decision making

被引：15

作者：

Wang, Weize ^{[1
]}

Liu, Xinwang ^{[2
]}

机构：

[1] Guangxi Normal Univ, Sch Econ & Management, Guilin 541004, Guangxi, Peoples R China

[2] Southeast Univ, Sch Econ & Management, Nanjing 210096, Jiangsu, Peoples R China

来源：

TECHNOLOGICAL AND ECONOMIC DEVELOPMENT OF ECONOMY | 2014年 / 20卷 / 03期

基金：

中国国家自然科学基金;

关键词：

hesitant fuzzy Einstein ordered weighted geometric (HFOWG(epsilon)) operator; Einstein t-norm; multiple attribute group decision making (MAGDM); hesitant fuzzy Einstein hybrid weighted geometric (HFHWG(epsilon)) operator; hesitant fuzzy Einstein weighted geometric (HFWG(epsilon)) operator; hesitant fuzzy set (HFS); MULTIPLICATIVE PREFERENCE RELATIONS; INTUITIONISTIC FUZZY; AGGREGATION OPERATORS; INFORMATION AGGREGATION; EINSTEIN OPERATIONS; OWA OPERATOR; SET THEORY; WEIGHTS;

D O I：

10.3846/20294913.2013.877094

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

Hesitant fuzzy set (HFS), a generalization of fuzzy set (FS), permits the membership degree of an element of a set to be represented as several possible values between 0 and 1. In this paper, motivated by the extension principle of HFs, we export Einstein operations on FSs to HFs, and develop some new aggregation operators, such as the hesitant fuzzy Einstein weighted geometric operator, hesitant fuzzy Einstein ordered weighted geometric operator, and hesitant fuzzy Einstein hybrid weighted geometric operator, for aggregating hesitant fuzzy elements. In addition, we discuss the correlations between the proposed aggregation operators and the existing ones respectively. Finally, we apply the hesitant fuzzy Einstein weighted geometric operator to multiple attribute group decision making with hesitant fuzzy information. Some numerical examples are given to illustrate the proposed aggregation operators.

引用

页码：371 / 390

页数：20

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