Qualitative Decision Theory with Sugeno Integrals
Didier Dubois, Henri Prade, Regis Sabbadin
Abstract:
This paper presents an axiomatic framework for qualitative decision under uncertainty in a finite setting. The corresponding utility is expressed by a supmin 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 integralbased 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.
Pages: 121128
PS Link:
PDF Link: /papers/98/p121dubois.pdf
BibTex:
@INPROCEEDINGS{Dubois98,
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 (UAI98)",
PUBLISHER = "Morgan Kaufmann",
ADDRESS = "San Francisco, CA",
YEAR = "1998",
PAGES = "121128"
}

