Jeffrey’s rule of conditioning in a possibilistic framework |
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Authors: | Salem Benferhat Karim Tabia Karima Sedki |
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Affiliation: | 1.Univ Lille Nord de France,Lille,France;2.UArtois, CNRS, UMR8188,Lens,France;3.UVHC, LAMIH FRE CNRS 3304,Valenciennes,France |
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Abstract: | Conditioning, belief update and revision are important tasks for designing intelligent systems. Possibility theory is among
the powerful uncertainty theories particularly suitable for representing and reasoning with uncertain and incomplete information.
This paper addresses an important issue related to the possibilistic counterparts of Jeffrey’s rule of conditioning. More
precisely, it addresses the existence and uniqueness of the solutions computed using the possibilistic counterparts of the
so-called kinematics properties underlying Jeffrey’s rule of conditioning. We first point out that like the probabilistic framework, in the quantitative
possibilistic setting, there exists a unique solution for revising a possibility distribution given the uncertainty bearing
on a set of exhaustive and mutually exclusive events. However, in the qualitative possibilistic framework, the situation is
different. In particular, the application of Jeffrey’s rule of conditioning does not guarantee the existence of a solution.
We provide precise conditions where the uniqueness of the revised possibility distribution exists. |
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