On intuitionistic fuzzy decision‐making using soft likelihood functions

Liguo Fei · Yuqiang Feng · Luning Liu · Weicheng Mao

35 citations0/0 files storedInternational Journal of Intelligent Systems

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Multi-Criteria Decision Making Rough Sets and Fuzzy Logic Fuzzy and Soft Set Theory

Abstract

Inspired by Yager, in this paper, we present the concept of likelihood for intuitionistic fuzzy sets (IFSs), and propose an approach for flexible computation of likelihood functions of IFSs for multicriteria decision-making (MCDM). We employ ordered weighted average (OWA) aggregation method to soften the strong likelihood constraint condition. The OWA measure can be considered as the attitudinal character, which determines OWA weights, including optimistic or pessimistic likelihood values. Then the reliability-based soft likelihood function is developed by considering the reliability of intuitionistic fuzzy information. Some examples are conducted by using the proposed (reliability-based) soft likelihood functions in intuitionistic fuzzy environment for MCDM problem, and the results are analyzed in detail.

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References

1965Fuzzy sets 1986Intuitionistic fuzzy sets 1988On ordered weighted averaging aggregation operators in multicriteria decisionmaking 1999Intuitionistic Fuzzy Sets 1994Handling multicriteria fuzzy decision-making problems based on vague set theory 1998Quantifier guided aggregation using OWA operators 2000Multicriteria fuzzy decision-making problems based on vague set theory 2005An overview of methods for determining OWA weights

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