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Author Dubois, Didier ♦ Prade, Henri
Source CiteSeerX
Content type Text
Publisher Morgan Kaufmann
File Format PDF
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Utility Function ♦ Utility Theory ♦ So-called Sugeno Integral ♦ Total Ignorance ♦ Obtained Utility ♦ Fuzzy Event ♦ Possibility Theory ♦ Possibility Distribution ♦ Necessity Measure ♦ Order-reversing Operation ♦ Risk-averse Behavior ♦ Qualitative Utility ♦ Qualitative Decision Theory ♦ Possibilistic Representation
Description A counterpart to von Neumann and Morgenstern' expected utility theory is proposed in the framework of possibility theory. The existence of a utility function, representing a preference ordering among possibility distributions (on the consequences of decision-maker's actions) that satisfies a series of axioms pertaining to decision-maker's behavior, is established. The obtained utility is a generalization of Wald's criterion, which is recovered in case of total ignorance; when ignorance is only partial, the utility takes into account the fact that some situations are more plausible than others. Mathematically, the qualitative utility is nothing but the necessity measure of a fuzzy event in the sense of possibility theory (a so-called Sugeno integral). The possibilistic representation of uncertainty, which only requires a linearly ordered scale, is qualitative in nature. Only max, min and order-reversing operations are used on the scale. The axioms express a risk-averse behavior of the d...
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article
Publisher Date 1995-01-01