Connecting bilattice theory with multivalued logic
DOI:
https://doi.org/10.12775/LLP.2013.036Keywords
bilattice, fuzzy logic, world-based semantics, approximate reasoningAbstract
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.References
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