Székely, Clark & Entringer’s and Talenti’s inequalities for Sugeno integral

Abstract

The purpose of this paper is to investigate the Székely, Clark & Entringer’s and Talenti’s inequalities for Sugeno integral. At the first, by an example, we show that Székely, Clark & Entringer’s inequality is not valid for Sugeno integral. After that, we state and prove fuzzy version of this inequality. Finally, we state and prove Talenti’s inequality for Sugeno integral.