Qualitative Decision Theory with Sugeno Integrals
Didier Dubois, Henri Prade, Regis Sabbadin
This paper presents an axiomatic framework for qualitative decision under uncertainty in a finite setting. The corresponding utility is expressed by a sup-min expression, called Sugeno (or fuzzy) integral. Technically speaking, Sugeno integral is a median, which is indeed a qualitative counterpart to the averaging operation underlying expected utility. The axiomatic justification of Sugeno integral-based utility is expressed in terms of preference between acts as in Savage decision theory. Pessimistic and optimistic qualitative utilities, based on necessity and possibility measures, previously introduced by two of the authors, can be retrieved in this setting by adding appropriate axioms.
Keywords: Qualitative decision theory, sugeno integrals.
PDF Link: /papers/98/p121-dubois.pdf
AUTHOR = "Didier Dubois
and Henri Prade and Regis Sabbadin",
TITLE = "Qualitative Decision Theory with Sugeno Integrals",
BOOKTITLE = "Proceedings of the Fourteenth Conference Annual Conference on Uncertainty in Artificial Intelligence (UAI-98)",
PUBLISHER = "Morgan Kaufmann",
ADDRESS = "San Francisco, CA",
YEAR = "1998",
PAGES = "121--128"