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.
Dong Qiu. Chongxia Lu. "On Properties of Pseudointegrals Based on Pseudoaddition Decomposable Measures." Abstr. Appl. Anal. 2014 (SI28) 1 - 12, 2014. https://doi.org/10.1155/2014/782040