2024 : 11 : 14
Bayaz Daraby

Bayaz Daraby

Academic rank: Professor
ORCID:
Education: PhD.
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Faculty: 1
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Research

Title
A Version of Favard’s Inequality for the Sugeno Integral
Type
JournalPaper
Keywords
Favard’s inequality, Sugeno integral, Fuzzy measure, Fuzzy integral inequality
Year
2020
Journal Sahand Communications in Mathematical Analysis
DOI
Researchers Bayaz Daraby ، ، ildar Sadeqi

Abstract

In this paper, we present a version of Favard’s inequal- ity for special case and then generalize it for the Sugeno integral in fuzzy measure space (X, Σ, μ), where μ is the Lebesgue measure. We consider two cases, when our function is concave and when is convex. In addition for illustration of theorems, several examples are given.