Bulletin of Symbolic Logic

Mathematical fuzzy logics

Siegfried Gottwald

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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.

Article information

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

Dates
First available: 17 April 2008

Permanent link to this document
http://projecteuclid.org/euclid.bsl/1208442828

Digital Object Identifier
doi:10.2178/bsl/1208442828

Mathematical Reviews number (MathSciNet)
MR2413003

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

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

Citation

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


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