Results of the Chebyshev type inequality for Pseudo-integral
Journal: Sahand Communications in Mathematical Analysis (Vol.4, No. 1)Publication Date: 2016-11-15
Authors : Bayaz Daraby;
Page : 91-100
Keywords : Additive measure; Chebyshev type inequality; Pseudo-addition; Pseudo-multiplication; Pseudo-integral; Comonotone function; s-decomposable fuzzy measure;
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.
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