Fuzzy decision-making based on likelihood-based comparison relations

  • Authors:

  • Shyi-Ming Chen;Li-Wei Lee

  • Affiliations:

  • Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan;Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan

  • Venue:
  • IEEE Transactions on Fuzzy Systems - Special section on computing with words
  • Year:
  • 2010

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Abstract

In this paper, we present a new fuzzy decision-making method, which is based on likelihood-based comparison relations. First, we introduce the concepts of likelihood-based comparison relations for intervals. Then, we propose the concept of likelihood-based comparison relations for type-1 fuzzy sets and interval type-2 fuzzy sets. Then, we present a new method to rank fuzzy sets by using fuzzy targets based on the proposed likelihood-based comparison relations for fuzzy sets. Finally, we present a new fuzzy decision-making method based on the proposed likelihood-based comparison relations for fuzzy sets and the proposed fuzzy ranking method. The proposed fuzzy decision-making method has the advantage that the evaluated values can either be represented by crisp values, intervals, type-1 fuzzy sets or interval type-2 fuzzy sets. It can overcome the drawbacks of Huynh et al.'s method due to the fact that Huynh et al.'s method cannot deal with the ranking of interval type-2 fuzzy sets for fuzzy decision-making and cannot distinguish the ranking order between the alternatives in some situations.