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
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:
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.
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/