Title of article :
A Version of Favard’s Inequality for the Sugeno Integral
Author/Authors :
Daraby ، Bayaz Department of Mathematics - University of Maragheh , Ghazanfary Asll ، Hassan Department of Mathematics - Sahand University of Technology , Sadeqi ، IldarI Department of Mathematics - Sahand University of Technology
Abstract :
In this paper, we present a version of Favard’s inequal ity for special case and then generalize it for the Sugeno integral in fuzzy measure space (X, Σ, µ), where µ 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
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
