Some new hybrid weighted aggregation operators under hesitant fuzzy multi-criteria decision making environment

Authors:
Huchang Liao;Zeshui Xu
Affiliations:
Antai College of Economics and Management, Shanghai Jiao Tong University, Shanghai, China;Antai College of Economics and Management, Shanghai Jiao Tong University, Shanghai, China and College of Sciences, PLA University of Science and Technology, Nanjing, China
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

Citing 19
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Abstract

Hesitant fuzzy set, as a new generalized type of fuzzy set, is an efficient and powerful structure in expressing uncertainty and vagueness and has attracted more and more scholars' attention. The aim of this paper is to develop some new aggregation operators to fuse hesitant fuzzy information. The hesitant fuzzy hybrid arithmetical averaging HFHAA operator, the hesitant fuzzy hybrid arithmetical geometric HFHAG operator, the quasi HFHAA operator and the quasi HFHAG operator are proposed and their properties are investigated. On the basis of these proposed operators, some algorithms are introduced to aid multi-criteria single person decision making and multi-criteria group decision making respectively. Some examples are provided to illustrate the practicality and validity of our proposed procedures.