Sitaru-Schweitzer Type Inequality for Fuzzy and Pseudo-Integrals

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 f...

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Bibliographic Details
Main Authors: Bayaz Daraby, Asghar Rahimi, Mortaza Tahmourasi
Format: Article
Language:English
Published: University of Maragheh 2024-01-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:https://scma.maragheh.ac.ir/article_706267_498e75f1a7b321a8df80190d025c6642.pdf
Description
Summary: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.
ISSN:2322-5807
2423-3900