Choquet integrals of fuzzifying measurable functions and their applications

Journal Publication ResearchOnline@JCU
Wood, Jacob;Kim, Dojin;Jang, Lee-Chae
Jacob Wood
Abstract

This study introduces the Choquet integral of fuzzifying functions with respect to a fuzzy measure. To express various phenomena or ambiguous values in many applications may not be enough to show them as a function, in which case a fuzzifying function can be applied to achieve better expressions or flexibility for given function values. To apply Choquet integrals of fuzzifying functions, we consider Choquet integrals of interval-valued functions as an operator which are α-level functions of fuzzifying functions. In this study, we investigate some properties of Choquet integral of fuzzifying functions and present their applications. As part of this, a series of relevant examples and their subsequent applications are provided, along with the fuzzification of two integrands: A probability density function (PDF) and a utility function.

Journal

Iranian Journal of Fuzzy Systems

Publication Name

Iranian Journal of Fuzzy Systems

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20

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1735-0654

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5

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Publisher

University of Sistan and Baluchestan

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