Fuzzy Measure and Probability Distributions: Distorted Probabilities

Authors:
Y. Narukawa;V. Torra
Affiliations:
Toho Gakuen;-
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2005

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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