Mathematical fuzzy logics

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



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Citations of this work

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

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References found in this work

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.
A complete many-valued logic with product-conjunction.Petr Hájek, Lluis Godo & Francesc Esteva - 1996 - Archive for Mathematical Logic 35 (3):191-208.

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