University of MaraghehSahand Communications in Mathematical Analysis2322-580717120200101A Version of Favard's Inequality for the Sugeno Integral23373811910.22130/scma.2020.119368.728ENBayazDarabyDepartment of Mathematics, University of Maragheh, Maragheh, Iran.0000-0001-6872-8661HassanGhazanfary AsllPh.D. student of Department of Mathematics, Sahand University of Technology, Tabriz, Iran.IldarISadeqiDepartment of Mathematics, Sahand University of Technology, Tabriz, Iran.0000-0001-5336-6186Journal Article20191230In 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.https://scma.maragheh.ac.ir/article_38119_b1a064e55b58dec94960732d5d3f9580.pdf