Pseudo-optimal measures

Authors:
Jun Li;Radko Mesiar;Peter Struk
Affiliations:
School of Science, Communication University of China, Beijing 100024, People's Republic of China;Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, SK-81368 Bratislava, Slovakia;Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, SK-81368 Bratislava, Slovakia
Venue:
Information Sciences: an International Journal
Year:
2010

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Abstract

Based on a pseudo-addition @? on [0,~], pseudo-optimal measures related to non-negative set functions vanishing at the empty set (non-negative games) are introduced. For a fixed pseudo-addition @?, an equivalence ~"@? on non-negative set functions is studied. A special stress is given to pure pseudo-optimal measures, admitting no other ~"@? equivalent set function.