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Results of the Chebyshev type inequality for Pseudo-integral

Journal: Sahand Communications in Mathematical Analysis (Vol.4, No. 1)

Publication Date:

Authors : ;

Page : 91-100

Keywords : Additive measure; Chebyshev type inequality; Pseudo-addition; Pseudo-multiplication; Pseudo-integral; Comonotone function; s-decomposable fuzzy measure;

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Abstract

In this paper, some results of the Chebyshev type integral inequality for the pseudo-integral are proven. The obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions. Finally, we applied our results to the case of comonotone functions.

Last modified: 2017-01-28 14:36:15