Results of the Chebyshev type inequality for Pseudo-integral

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.

Keywords

• Additive measure
• Chebyshev type inequality
• Pseudo-addition
• Pseudo-multiplication
• Pseudo-integral
• Comonotone function
• $s$-decomposable fuzzy measure