Fuzzy Decision-Making Based on Likelihood-Based Comparison Relations

Shyi‐Ming Chen · Li‐Wei Lee

79 citations0/0 files storedIEEE Transactions on Fuzzy Systems

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Multi-Criteria Decision Making Fuzzy and Soft Set Theory Fuzzy Systems and Optimization

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 Huynhet al.'s method due to the fact that Huynhet 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.

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References

1965Fuzzy sets 1996Fuzzy sets 1981Multiple Attribute Decision Making: Methods and Applications 1992Fuzzy Multiple Attribute Decision Making 1992Ranking fuzzy numbers with integral value 1976Decisionmaking in the Presence of Fuzzy Variables 1977A procedure for multiple-aspect decision making using fuzzy sets 1979Comparison of fuzzy sets on the same decision space

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