Proof Theory for Fuzzy Logics - Couverture souple

Metcalfe, George; Olivetti, Nicola; Gabbay, Dov M.

 
9789048181216: Proof Theory for Fuzzy Logics

Synopsis

Fuzzy logics are many-valued logics that are well suited to reasoning in the context of vagueness. They provide the basis for the wider field of Fuzzy Logic, encompassing diverse areas such as fuzzy control, fuzzy databases, and fuzzy mathematics. This book provides an accessible and up-to-date introduction to this fast-growing and increasingly popular area. It focuses in particular on the development and applications of "proof-theoretic" presentations of fuzzy logics; the result of more than ten years of intensive work by researchers in the area, including the authors. In addition to providing alternative elegant presentations of fuzzy logics, proof-theoretic methods are useful for addressing theoretical problems (including key standard completeness results) and developing efficient deduction and decision algorithms. Proof-theoretic presentations also place fuzzy logics in the broader landscape of non-classical logics, revealing deep relations with other logics studied in Computer Science, Mathematics, and Philosophy. The book builds methodically from the semantic origins of fuzzy logics to proof-theoretic presentations such as Hilbert and Gentzen systems, introducing both theoretical and practical applications of these presentations.

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Présentation de l'éditeur

This accessible and up-to-date introduction to fuzzy logics focuses on the development and applications of "proof theoretic" presentations of fuzzy logics, including more than ten years of intensive work by researchers in that area.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9781402094088: Proof Theory for Fuzzy Logics

Edition présentée

ISBN 10 :  1402094086 ISBN 13 :  9781402094088
Editeur : Springer, 2008
Couverture rigide