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

Xiaoqiang Zhou | Zendy; Qingguo Li | Zendy

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

Author(s) -

Xiaoqiang Zhou,

Qingguo Li

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/745617

Subject(s) - operator (biology) , einstein , fuzzy logic , mathematics , computer science , algebra over a field , artificial intelligence , pure mathematics , biochemistry , chemistry , repressor , transcription factor , mathematical physics , gene

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 (HFEWGε) operator and the hesitant fuzzy Einstein ordered weighted geometric (HFEWGε) 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 HFEWGε operator to solve the hesitant fuzzy decision making problems

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