SZEKELY, CLARK & ENTRINGER'S AND TALENTI'S INEQUALITIES FOR SUGENO INTEGRAL

SZEKELY, CLARK & ENTRINGER'S AND TALENTI'S INEQUALITIES FOR SUGENO INTEGRAL

B. Daraby, A. R. Khodadadi, A. Rahimi

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Abstract

The purpose of this paper is to investigate the Szekely, Clark & Entringer's and Talenti's inequalities for Sugeno integral. At the rst, by an example, we show that Szekely, 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.

Keywords

Szekely, Clark & Entringer's inequality; Talenti's inequality.