On Properties of Pseudointegrals Based on Pseudoaddition Decomposable Measures

Abstract EN

We mainly discussed pseudointegrals based on a pseudoaddition decomposable measure.

Particularly, we give the definition of the pseudointegral for a measurable function based on a strict pseudoaddition decomposable measure by generalizing the definition of the pseudointegral of a bounded measurable function.

Furthermore, we got several important properties of the pseudointegral of a measurable function based on a strict pseudoaddition decomposable measure.