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Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
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Education: PhD.
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Research

Title
GENERAL LYAPUNOV TYPE INEQUALITY FOR SUGENO INTEGRAL
Type
JournalPaper
Keywords
Sugeno integrals, Lyapunov inequality, fuzzy integral inequality, non-additive
Year
2018
Journal Journal of Advanced Mathematical Studies
DOI
Researchers Bayaz Daraby ، Amir Shafilo ، Asghar Rahimi

Abstract

In this paper, Lyapunov type inequality for the Sugeno integral on an abstract spaces is studied in a rather general form, thus closing the series of papers on the topic dealing with special cases restricted to the (pseudo-)additive operation. Also, several examples are given to illustrate the validity of this inequality. Moreover, a strengthened version of Lyapunov type inequality for Sugeno integrals on a real interval based on a binary operation  is presented.