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A Semantics for Possibility Theory Based on Likelihoods

✍ Scribed by Didier Dubois; Serafı́n Moral; Henri Prade

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
207 KB
Volume
205
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper, a semantic basis for Possibility Theory based on likelihood functions is presented. In some cases, possibilities have been considered as approximations of Shafer plausibility measures. This approximation exchanges exactness of plausibility values for the simplicity of use of possibility values. In this paper, a different direction is followed. Possibility measures are considered as the supremum of a family of likelihood functions. This is an exact interpretation, not an approximation. The minimum rule to combine possibility distributions is justified in this framework under general conditions. Conditions under which other rules can be applied are also studied. ᮊ 1997 Academic Press * This work has been supported by the Commission of the European Communities under projects ESPRIT II BRA 3085: DRUMS and ESPRIT III BRA 6156: DRUMS 2, and the DGICYT under project PS89r152.

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