Lukasiewicz-based merging possibilistic networks |
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Institution: | 1. University of Batna, Computer Sciences Department, Algeria;2. CRIL-CNRS, University of Artois, Rue Jean Souvraz, 62307 Lens, France |
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Abstract: | Possibility theory provides a good framework for dealing with merging problems when information is pervaded with uncertainty and inconsistency. Many merging operators in possibility theory have been proposed. This paper develops a new approach to merging uncertain information modeled by possibilistic networks. In this approach we restrict our attention to show how a “triangular norm” establishes a lower bound on the degree to which an assessment is true when it is obtained by a set of initial hypothesis represented by a joint possibility distribution. This operator is characterized by its high effect of reinforcement. A strongly conjunctive operator is suitable to merge networks that are not involved in conflict, especially those supported by both sources. In this paper, the Lukasiewicz t-norm is first applied to a set of possibility measures to combine networks having the same and different graphical structures. We then present a method to merge possibilistic networks dealing with cycles. |
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Keywords: | Possibility theory Possibilistic networks t-Norm Lukasiewicz operator |
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