Towards an (Even More) Natural Probabilistic Interpretation of Fuzzy Transforms (and of Fuzzy Modeling)

In many practical applications, it turns out to be useful to use the notion of fuzzy transform: once we have functions A1(x)≥0,...,An≥0, with ∑i=1nAi(x)=1, we can then represent each function f(x) by the coefficients Fi=(∫f(x)⋅Ai(x)dx)/(∫Ai(x)dx). Once we know the coefficients Fi, we can (approximat...

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Bibliographic Details
Main Authors: Irina Perfilieva, Vladik Kreinovich
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2011/719256