Handbook of Mathematical Fuzzy Logic. Volume 1 (Paperback, New)

Originating as an attempt to provide solid logical foundations for fuzzy set theory, and motivated also by philosophical and computational problems of vagueness and imprecision, Mathematical Fuzzy Logic (MFL) has become a significant subfield of mathematical logic. Research in this area focuses on many-valued logics with linearly ordered truth values and has yielded elegant and deep mathematical theories and challenging problems, thus continuing to attract an ever increasing number of researchers. This two-volume handbook provides an up-to-date systematic presentation of the best-developed areas of MFL. Its intended audience is researchers working on MFL or related fields, who may use the text as a reference book, and anyone looking for a comprehensive introduction to MFL. Despite being located in the realm of pure mathematical logic, this handbook will also be useful for readers interested in logical foundations of fuzzy set theory or in a mathematical apparatus suitable for dealing with some philosophical and linguistic issues related to vagueness. The first volume contains a gentle introduction to MFL, a presentation of an abstract algebraic framework for MFL, chapters on proof theory and algebraic semantics of fuzzy logics, and, fi nally, an algebraic study of Hajek's logic BL. The second volume is devoted to ukasiewicz logic and MValgebras, Godel-Dummett logic and its variants, fuzzy logics in expanded propositional languages, studies of functional representations for fuzzy logics and their free algebras, computational complexity of propositional logics, and arithmetical complexity of first-order logics.

General

Imprint:	College Publications
Country of origin:	United Kingdom
Release date:	December 2011
First published:	December 2011
Editors:	Petr Cintula • Petr Hajek • Carles Noguera
Dimensions:	234 x 156 x 25mm (L x W x T)
Format:	Paperback - Trade
Pages:	492
Edition:	New
ISBN-13:	978-1-84890-039-4
Categories:	Books > Humanities > Philosophy > Topics in philosophy > Logic Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic Books > Philosophy > Topics in philosophy > Logic Promotions
LSN:	1-84890-039-2
Barcode:	9781848900394

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