BAYAZ DARABY - Department of Mathematics, University of Maragheh, Maragheh, Iran.

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.

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