Generalizations of The Feng Qi Type Inequality For Pseudo-Integral

Year 2015, Volume: 28 Issue: 4, 695 - 702, 12.09.2015

Bayaz Daraby , Amir Shafiloo Asghar Rahimi

Abstract

In this paper, generalizations of the Feng Qi type integral inequalities for pseudo-integrals are proved. There are considered two cases of the real semiring with pseudo-operations: One discusses pseudo-integrals where pseudooperations are given by a monotone and continuous function g. The other one focuses on the pseudo-integrals based on a semiring ([a; b]; sup; ), where the pseudo-multiplication is generated. Some examples are given to illustrate the validity of these inequalities.

Keywords

Sugeno integrals, inequality, Feng Qi inequality, Fuzzy integral inequality

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