Qualitative Decision Theory with Sugeno Integrals
arXiv (Cornell University)Published 30 January 2013Open access
Didier Dubois, Henri Prade, Régis Sabbadin
Citations76
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Abstract
This paper presents an axiomatic framework for qualitative decision under\nuncertainty in a finite setting. The corresponding utility is expressed by a\nsup-min expression, called Sugeno (or fuzzy) integral. Technically speaking,\nSugeno integral is a median, which is indeed a qualitative counterpart to the\naveraging operation underlying expected utility. The axiomatic justification of\nSugeno integral-based utility is expressed in terms of preference between acts\nas in Savage decision theory. Pessimistic and optimistic qualitative utilities,\nbased on necessity and possibility measures, previously introduced by two of\nthe authors, can be retrieved in this setting by adding appropriate axioms.\n
Keywords
Computer ScienceDecision Sciences
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