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Gradual Semantics for Logic-Based Bipolar Graphs Using T-(Co)norms
Acte de colloque   Open Access

Gradual Semantics for Logic-Based Bipolar Graphs Using T-(Co)norms

Martin Jedwabny, Madalina Croitoru et Pierre Bisquert
Frontiers in Artificial Intelligence and Applications, Vol.325, pp.777-783
Frontiers in Artificial Intelligence and Applications
ECAI 2020 - 24th European Conference on Artificial Intelligence (Santiago de Compostela (virtual), Spain, 29/08/2020–08/09/2020)
2020

Résumé

In this paper we consider a bipolar graph structure encoding conflicting knowledge with logic formulas. Gradual semantics provide a way to assign strength values in the unit interval to nodes (i.e. logical inference steps) in the bipolar graph. Here, we introduce a new class of semantics based on the notions of T-norms and T-conorms and show that they handle circular reasoning and satisfy desirable properties such as provability and rewriting.

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