Sugeno integral based on absolutely monotone real set functions

Authors:
Biljana Mihailović;Endre Pap
Affiliations:
Faculty of Technical Sciences, University of Novi Sad, Trg Dositeja Obradovića 6, 21000 Novi Sad, Serbia;Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovića 4, 21000 Novi Sad, Serbia
Venue:
Fuzzy Sets and Systems
Year:
2010

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Abstract

The class of all absolutely monotone and sign stable set functions with m(@A)=0, denoted by AMSS, is introduced. Necessary and sufficient conditions are obtained for a set function m, m(@A)=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 -additive functional by Sugeno integral based on m@?AMSS is obtained.