Speaker / Predavač : Doc. Dr Biljana Mihailovic
Title / Naslov: Integrals Based On Absolutely Monotone Set Functions
Abstract / Abstrakt:
The class of absolutely monotone and sign stable set functions is introduced. A Sugeno type integral of an measurable real-valued function is defined with respect to such a set function. Asymmetry and monotonicity of integrals are desirable properties in some applications. A generated Choquet integral with respect to absolutely monotone and sign stable set functions is introduced. Another type of asymmetric integrals is obtained as a limit of an appropriate sequence of generated Choquet integrals. The similarity between the Shilkret integral and this new integral defined on the class of non-negative measurable functions is analyzed.