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arXiv · 2105.07217

Constraint tableaux for two-dimensional fuzzy logics

Marta Bílková·Sabine Frittella·Daniil Kozhemiachenko
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Abstract

We introduce two-dimensional logics based on \L{}ukasiewicz and G\"{o}del logics to formalize paraconsistent fuzzy reasoning. The logics are interpreted on matrices, where the common underlying structure is the bi-lattice (twisted) product of the $[0,1]$ interval. The first (resp.\ second) coordinate encodes the positive (resp.\ negative) information one has about a statement. We propose constraint tableaux that provide a modular framework to address their completeness and complexity.

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Marta Bílková, Sabine Frittella, Daniil Kozhemiachenko. 2021-05-15. Constraint tableaux for two-dimensional fuzzy logics. https://doi.org/10.1007/978-3-030-86059-2_2

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