Connecting bilattice theory with multivalued logic

Daniele Genito, Giangiacomo Gerla

DOI: http://dx.doi.org/10.12775/LLP.2013.036

Abstract


This is an exploratory paper whose aim is to investigate the potentialities of bilattice theory for an adequate definition of the deduction apparatus for multi-valued logic. We argue that bilattice theory enables us to obtain a nice extension of the graded approach to fuzzy logic. To give an example, a completeness theorem for a logic based on Boolean algebras is proved.

Keywords


bilattice; fuzzy logic; world-based semantics; approximate reasoning

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References


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