Power Geometric Operators of Hesitant Multiplicative Fuzzy Numbers and Their Application to Multiple Attribute Group Decision Making | Zendy

Lei Wang | Zendy; Mingfang Ni | Zendy; Zhanke Yu | Zendy; Lei Zhu | Zendy

Open Access

Power Geometric Operators of Hesitant Multiplicative Fuzzy Numbers and Their Application to Multiple Attribute Group Decision Making

Author(s) -

Lei Wang,

Mingfang Ni,

Zhanke Yu,

Lei Zhu

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/186502

Subject(s) - multiplicative function , group decision making , mathematics , fuzzy logic , group (periodic table) , computer science , mathematical optimization , artificial intelligence , mathematical analysis , chemistry , organic chemistry , political science , law

Multiplicative relations are one of most powerful techniques to express the preferences over alternatives (or criteria). In this paper, we propose a wide range of hesitant multiplicative fuzzy power aggregation geometric operators on multiattribute group decision making (MAGDM) problems for hesitant multiplicative information. In this paper, we first develop some compatibility measures for hesitant multiplicative fuzzy numbers, based on which the corresponding support measures can be obtained. Then we propose several aggregation techniques, and investigate their properties. In the end, we develop two approaches for multiple attribute group decision making with hesitant multiplicative fuzzy information and illustrate a real world example to show the behavior of the proposed operators

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