Wood, Jacob, Kim, Dojin, and Jang, Lee-Chae (2023) Choquet integrals of fuzzifying measurable functions and their applications. Iranian Journal of Fuzzy Systems, 20 (5). pp. 151-164.

PDF (Published Version) - Published Version Restricted to Repository staff only

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.

Item ID:	80680
Item Type:	Article (Research - C1)
ISSN:	1735-0654
Date Deposited:	10 Oct 2023 23:17
FoR Codes:	49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490199 Applied mathematics not elsewhere classified @ 100%
SEO Codes:	28 EXPANDING KNOWLEDGE > 2801 Expanding knowledge > 280118 Expanding knowledge in the mathematical sciences @ 100%
Downloads:	Total: 2
	More Statistics