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

Article type: Research Article

Authors: Liao, Huchang | Xu, Zeshui^;

Affiliations: Antai College of Economics and Management, Shanghai Jiao Tong University, Shanghai, China | College of Sciences, PLA University of Science and Technology, Nanjing, China

Note: [] Corresponding author. Zeshui Xu, Tel./Fax: +86 25 84483382; E-mails: xuzeshui@263.net; liaohuchang@163.com (H. Liao).

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.

Keywords: Group decision making, hesitant fuzzy set, hybrid weighted aggregation operator, multi-criteria decision making

DOI: 10.3233/IFS-130841

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 4, pp. 1601-1617, 2014