Fubini theorem and generalized Minkowski inequality for the pseudo-integral

摘要

This paper is devoted to generalizations of Fubini theorem, Transformation theorem, and generalized Minkowski inequality for the so called pseudo-integral. The approach is based on the relation of double pseudo-integrals and iterated pseudo-integrals. Since the pseudo-integral covers Lebesgue integral, Sugeno's fuzzy integral, and Zhao's (N)fuzzy integral (with a respect to special nonadditive measure: v-measure), the obtained results generalize the corresponding previously known results. (C) 2020 Elsevier Inc. All rights reserved.