Interval-valued hesitant preference relations and their applications to group decision making

  • Authors:

  • Na Chen;Zeshui Xu;Meimei Xia

  • Affiliations:

  • School of Economics and Management, Southeast University, Nanjing 210096, China and School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210023, China;School of Economics and Management, Southeast University, Nanjing 210096, China and Institute of Sciences, PLA University of Science and Technology, Nanjing 210007, China;School of Economics and Management, Southeast University, Nanjing 210096, China

  • Venue:
  • Knowledge-Based Systems
  • Year:
  • 2013

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Abstract

We introduce a new type of fuzzy preference structure, called interval-valued hesitant preference relations, to describe uncertain evaluation information in group decision making (GDM) processes. Moreover, it allows decision makers to offer all possible interval values that are not accounted for in current preference structure types when one compares two alternatives. We generalize the concept of hesitant fuzzy set (HFS) to that of interval-valued hesitant fuzzy set (IVHFS) in which the membership degrees of an element to a given set are not exactly defined, but denoted by several possible interval values. We give systematic aggregation operators to aggregate interval-valued hesitant fuzzy information. In addition, we develop an approach to GDM based on interval-valued hesitant preference relations in order to consider the differences of opinions between individual decision makers. Numerical examples are provided to illustrate the proposed approach.