Decision-theoretic foundations of qualitative possibility theory

Decision-theoretic foundations of qualitative possibility theory

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Article ID: iaor20013728
Country: Netherlands
Volume: 128
Issue: 3
Start Page Number: 459
End Page Number: 478
Publication Date: Feb 2001
Journal: European Journal of Operational Research
Authors: , ,
Keywords: statistics: decision
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 carried 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 optimisitic attitudes can be explicitly captured. The approach thus proposes an operationally testable description of possibility theory.

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