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A Version of Favard's Inequality for the Sugeno Integral
Journal: Sahand Communications in Mathematical Analysis (Vol.17, No. 1)Publication Date: 2020-01-01
Authors : Bayaz Daraby; Hassan Ghazanfary Asll; IldarI Sadeqi;
Page : 23-37
Keywords : Favard's inequality; Sugeno integral; Fuzzy measure; Fuzzy integral inequality;
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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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Last modified: 2020-06-16 17:02:43