Mathematical fuzzy logics
Siegfried Gottwald
Source: Bull. Symbolic Logic Volume 14, Issue 2
(2008), 210-239.
Abstract
The last decade has seen an enormous development in infinite-valued systems and in particular in such systems which have become known as mathematical fuzzy logics.
The paper discusses the mathematical background for the interest in such systems of mathematical fuzzy logics, as well as the most important ones of them. It concentrates on the propositional cases, and mentions the first-order systems more superficially. The main ideas, however, become clear already in this restricted setting.
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Keywords: infinite valued logics; triangular norm based logics; fuzzy logics; algebraic semantics; residuated lattices
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bsl/1208442828
Digital Object Identifier: doi:10.2178/bsl/1208442828
Mathematical Reviews number (MathSciNet): MR2413003
