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An Extension of the MULTIMOORA Method for Multiple Criteria Group Decision Making Based upon Hesitant Fuzzy Sets

Zhi-Hui Li

Published 2014 in Journal of Applied Mathematics

ABSTRACT

In order to determine the membership of an element to a set owing to ambiguity between a few different values, the hesitant fuzzy set (HFS) has been proposed and widely diffused to deal with vagueness and uncertainty involved in the process of multiple criteria group decision making (MCGDM) problems. In this paper, we develop novel definitions of score function and distance measure for HFSs. Some examples are given to illustrate that the proposed definitions are more reasonable than the traditional ones. Furthermore, our study extends the MULTIMOORA (Multiple Objective Optimization on the basis of Ratio Analysis plus Full Multiplicative Form) method with HFSs. The proposed method thus provides the means for multiple criteria decision making (MCDM) regarding uncertain assessments. Utilization of hesitant fuzzy power aggregation operators also enables facilitating the process of MCGDM. A numerical example of software selection demonstrates the possibilities of application of the proposed method.

PUBLICATION RECORD

  • Publication year

    2014

  • Venue

    Journal of Applied Mathematics

  • Publication date

    2014-11-12

  • Fields of study

    Mathematics, Computer Science

  • Identifiers
    DOI 10.1155/2014/527836
  • External record

    Open on Semantic Scholar

  • Source metadata

    Semantic Scholar

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