Bulletin of Symbolic Logic

Mathematical fuzzy logics

Siegfried Gottwald

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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.

Article information

Bull. Symbolic Logic, Volume 14, Issue 2 (2008), 210-239.

First available in Project Euclid: 17 April 2008

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03B50: Many-valued logic 03B52: Fuzzy logic; logic of vagueness [See also 68T27, 68T37, 94D05]

infinite valued logics triangular norm based logics fuzzy logics algebraic semantics residuated lattices


Gottwald, Siegfried. Mathematical fuzzy logics. Bull. Symbolic Logic 14 (2008), no. 2, 210--239. doi:10.2178/bsl/1208442828. https://projecteuclid.org/euclid.bsl/1208442828

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