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Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
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Education: PhD.
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Research

Title
Diaz-Metcalf type inequality for Sugeno and pseudo-integrals
Type
JournalPaper
Keywords
Diaz-Metcalf type inequality, fuzzy integral, integral inequality, pseudo integral.
Year
2023
Journal Iranian Journal of Fuzzy Systems
DOI
Researchers Mohommad reza Karimzadeh ، Bayaz Daraby ، Asghar Rahimi

Abstract

In this paper, we have proved Diaz-Metcalf inequality for fuzzy integrals. More precisely: If f, g : [0, 1] → R are continuous and strictly increasing functions, then the fuzzy integral inequality − ∫ 1 0 f s dµ · −∫ 1 0 g s dµ ≤ −∫ 1 0 (f · g) s dµ, holds, where s > 1 and µ is the Lebesgue measure on R. In addition, we have shown this inequality for pseudo-integrals