چکیده (انگلیسی):

Recently, in mathematical economics, Even and Lehrer introduced the decomposition integral as a generalization of Choquet integral with respect to capacities [Economic Theory (2014) 56:33-58]. In this paper, general versions of some well-known probabilistic inequalities for the decomposition integrals and the superdecomposition integrals are discussed that are still open for research. The main results of this paper generalize some previous results for particular integral inequalities obtained by several researchers in generalized probability theory.