Sugeno integral based on absolutely monotone real set functions

摘要

The class of all absolutely monotone and sign stable set functions with m(?) = 0, denoted by AMSS, is introduced. Necessary and sufficient conditions are obtained for a set function m, m(?) = 0, to be a member of AMSS. A Sugeno type integral of an A- measurable real-valued function is defined with respect to an absolutely monotone and sign stable set function and some of its properties are shown. A representation of a comonotone-cosigned (v)-additive functional by Sugeno integral based on ∈ e AMSS is obtained.