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A Version of Favard s Inequality for the Sugeno Integral

عنوان مقاله: A Version of Favard s Inequality for the Sugeno Integral
شناسه ملی مقاله: JR_SCMA-17-1_002
منتشر شده در شماره 1 دوره 17 فصل در سال 1399
مشخصات نویسندگان مقاله:

Bayaz Daraby - Department of Mathematics, University of Maragheh, Maragheh, Iran.
Hassan Ghazanfary Asll - Ph.D. student of Department of Mathematics, Sahand University of Technology, Tabriz, Iran.
IldarI Sadeqi - Department of Mathematics, Sahand University of Technology, Tabriz, Iran.

خلاصه مقاله:
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.

کلمات کلیدی:
Favard s inequality, Sugeno integral, Fuzzy measure, Fuzzy integral inequality

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/999998/