A Version of Favard's Inequality for the Sugeno Integral

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.

Keywords

• favard's inequality
• sugeno integral
• fuzzy measure
• fuzzy integral inequality