Bulletin of Symbolic Logic 14 (2):210-239 (2008)

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
Keywords infinite valued logics   triangular norm based logics   fuzzy logics   algebraic semantics   residuated lattices
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DOI 10.2178/bsl/1208442828
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References found in this work BETA

The Logic of Inexact Concepts.J. A. Goguen - 1969 - Synthese 19 (3-4):325-373.
Substructural Fuzzy Logics.George Metcalfe & Franco Montagna - 2007 - Journal of Symbolic Logic 72 (3):834 - 864.
Weakly Implicative (Fuzzy) Logics I: Basic Properties. [REVIEW]Petr Cintula - 2006 - Archive for Mathematical Logic 45 (6):673-704.
On Theories and Models in Fuzzy Predicate Logics.Petr Hájek & Petr Cintula - 2006 - Journal of Symbolic Logic 71 (3):863 - 880.

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Citations of this work BETA

Taking Degrees of Truth Seriously.Josep Maria Font - 2009 - Studia Logica 91 (3):383-406.
A Logic of Graded Attributes.Radim Belohlavek & Vilem Vychodil - 2015 - Archive for Mathematical Logic 54 (7-8):785-802.
Vagueness and Formal Fuzzy Logic: Some Criticisms.Giangiacomo Gerla - 2017 - Logic and Logical Philosophy 26 (4).

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