On reductants in the framework of multi-adjoint logic programming

Reductants are a special kind of fuzzy rules which constitute an essential theoretical tool for proving correctness properties. As it has been reported, when interpreted on a partially ordered structure, a multi-adjoint logic program has to include all its reductants in order to preserve the approxi...

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Bibliographic Details
Published in:Fuzzy sets and systems Vol. 317; pp. 27 - 43
Main Authors: Julián-Iranzo, Pascual, Medina, Jesús, Ojeda-Aciego, Manuel
Format: Journal Article
Language:English
Published: Elsevier B.V 15.06.2017
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ISSN:0165-0114, 1872-6801
Online Access:Get full text
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Summary:Reductants are a special kind of fuzzy rules which constitute an essential theoretical tool for proving correctness properties. As it has been reported, when interpreted on a partially ordered structure, a multi-adjoint logic program has to include all its reductants in order to preserve the approximate completeness property. After a short survey of the different notions of reductant that have been developed for multi-adjoint logic programs, we introduce a new and more adequate notion of reductant in the multi-adjoint framework. We study some of its properties and its relationships with other notions of reductants, and provide an algorithm for computing all the reductants associated with a multi-adjoint logic program.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2016.09.004