Author: | Dubois, D. Prade, H. Sabbadin, R. |
Title: | Decision-theoretic foundations of qualitative possibility theory |
Journal: | European Journal of Operational Research
2001 : FEB 1, VOL. 128:3, p. 459-478 |
Index terms: | DECISION THEORY UNCERTAINTY DECISION MAKING |
Language: | eng |
Abstract: | This paper presents a justification of two qualitative counterparts of the expected utility criterion for decision under uncertainty, which only require bounded, linearly ordered, valuation sets for expressing uncertainty and preferences. This is cared out in the style of Savage, starting with a set of acts equipped with a complete preordering relation. Conditions on acts are given that imply a possibilistic representation of the decision-maker uncertainty. In this framework, pessimistic (i.e., uncertainty-averse) as well as optimistic attitudes can be explicitly captured. This approach thus proposes an operationally testable description of possibility theory. |
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