Title :
Fuzzy Measure and Probability Distributions: Distorted Probabilities
Author :
Narukawa, Yasuo ; Torra, Vicenç
Author_Institution :
Toho Gakuen
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
Keywords :
fuzzy set theory; integral equations; statistical distributions; Choquet integral; data modeling; distorted probabilities; fuzzy measure; probability distribution; Distortion measurement; Fuzzy sets; Game theory; Input variables; Learning systems; Particle measurements; Power measurement; Probability distribution; Psychology; Choquet integral; distorted probabilities; fuzzy measures; model determination;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2005.856563
