RESULTS OF THE CHEBYSHEV TYPE INEQUALITYFOR PSEUDO-INTEGRAL

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

Keywords:

Additive measure , Chebyshev type inequality , Pseudo-addition , Pseudo-multiplication , Pseudo-integral , Comonotone function , sdecomposable fuzzy measure