Fuzzy Measure and Probability Distributions: Distorted Probabilities

Yasuo Narukawa · Vicenç Torra

71 citations0/0 files storedIEEE Transactions on Fuzzy Systems

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Multi-Criteria Decision Making Advanced Algebra and Logic Fuzzy Systems and Optimization

Abstract

This work studies fuzzy measures and their application to data modeling. We focus on the particular case when fuzzy measures are distorted probabilities. We analyze their properties and introduce a new family of measures (m-dimensional distorted probabilities). The work finishes with the application of two dimensional distorted probabilities to a modeling problem. Results of the application of such fuzzy measure to data modeling using Choquet integral are discussed

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References

1979Prospect Theory: An Analysis of Decision under Risk 1988Prospect theory: An analysis of decision under risk 1988On ordered weighted averaging aggregation operators in multicriteria decisionmaking 1992Fuzzy Measure Theory 1998Quantifier guided aggregation using OWA operators 2015Values of Non-Atomic Games 1995Fuzzy integral in multicriteria decision making 2000Fuzzy Measures and Integrals - Theory and Applications

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2007Fuzzy measures and integrals in evaluation of strategies 2008A fuzzy measure identification method by diamond pairwise comparisons and $${\phi_s}$$ transformation 2008Discrete Choquet Integral as a Distance Metric

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