Belief Horn merging operators: Characterization results and implementations

Pilar Dellunde, Vicent Costa, Daniel Rivas-Barragan · Fuzzy Sets and Systems · 2024

The paper contributes to the study of belief merging in many-valued logics, taking both a theoretical and implementation approach motivated by applications in real-world scenarios. We focus, in particular, on the Horn fragment of signed logic. On the one hand, a characterization of the class of models of a signed regular Horn formula and a sufficient condition for a signed Horn merging operator to satisfy logical IC-postulates are provided. On the other hand, an implementation of the belief merging process in the signed regular Horn fragment is presented.

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