Sitaru-Schweitzer Type Inequality for Fuzzy and Pseudo-Integrals

Abstract

In this paper, we have proved and stated the Sitaru-Schweitzer type inequality for fuzzy integrals and also we state this inequality for pseudo-integrals in two classes. The first one is for pseudo-integrals where pseudo-addition and pseudo-multiplication are constructed by a monotone continuous function $g:[0, \infty ]\to[0, \infty]$. Another one is given by the semiring $([a, b], \max, \odot)$ where an increasing function generates pseudo-multiplication.

Keywords

• fuzzy integrals
• schweitzer type inequality
• fuzzy integral inequality
• pseudo-integrals