MULTIPLICATIVE CONSISTENCY OF HESITANT FUZZY PREFERENCE RELATION AND ITS APPLICATION IN GROUP DECISION MAKING

Huchang Liao (), Zeshui Xu () and Meimei Xia ()
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Huchang Liao: Antai College of Economics and Management, Shanghai Jiao Tong University, Shanghai 200052, China
Zeshui Xu: Business School, Sichuan University, Chengdu 610064, China
Meimei Xia: School of Economics and Management, Tsinghua University, Beijing 100084, China

International Journal of Information Technology & Decision Making (IJITDM), 2014, vol. 13, issue 01, 47-76

Abstract: As we may have a set of possible values when comparing alternatives (or criteria), the hesitant fuzzy preference relation becomes a suitable and powerful technique to deal with this case. This paper mainly focuses on the multiplicative consistency of the hesitant fuzzy preference relation. First of all, we explore some properties of the hesitant fuzzy preference relation and develop some new aggregation operators. Then we introduce the concepts of multiplicative consistency, perfect multiplicative consistency and acceptable multiplicative consistency for a hesitant fuzzy preference relation, based on which, two algorithms are given to improve the inconsistency level of a hesitant fuzzy preference relation. Furthermore, the consensus of group decision making is studied based on the hesitant fuzzy preference relations. Finally, several illustrative examples are given to demonstrate the practicality of our algorithms.

Keywords: Hesitant fuzzy preference relation; hesitant fuzzy set; consensus; multiplicative consistency; group decision making; 90B50; 91B06 (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations: View citations in EconPapers (9)

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DOI: 10.1142/S0219622014500035

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