generalizations of the Feng Qi Type Inequality for Pseudo-Integral

Year 2015, Volume: 28 Issue: 4, 695 - 702, 16.12.2015

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, when pseudo-operations are defined by monotone and continuous function $g$ (then the pseudo-integrals reduces $g$-integral), and the second with a semiring $([a, b],\max,\odot)$, where the pseudo-multiplication $\odot$ is generated.

Keywords

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

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