A Version of Favard's Inequality for the Sugeno Integral

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Daraby Bayaz; Ghazanfary Asll Hassan; Sadeqi IldarI

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Journal Paper

Paper Information

Journal: SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS (SCMA) Year:2020 | Volume:17 | Issue:1 Page(s): 23-37

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Information Journal Paper

Title

A Version of Favard's Inequality for the Sugeno Integral

Author(s)

Daraby Bayaz | Ghazanfary Asll Hassan | Sadeqi IldarI | Issue Writer Certificate

Keywords

Favard's inequality

Sugeno integral

Fuzzy measure

Fuzzy integral inequality

Abstract

In this paper, we present a version of Favard's inequality for special case and then generalize it for the Sugeno integral in Fuzzy measure space $(X,\Sigma,\mu)$, where $\mu$ is the Lebesgue measure. We consider two cases, when our function is concave and when is convex. In addition for illustration of theorems, several examples are given.

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