Non-Classical Logics and Their Applications to Fuzzy Subsets : A Handbook of the Mathematical Foundations of Fuzzy Set Theory

Ulrich Hc6hle

ISBN 10: 079233194X / ISBN 13: 9780792331940

Editore: Springer Jan 1995, 1995

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Neuware - Non-Classical Logics and their Applications to Fuzzy Subsets is the first major work devoted to a careful study of various relations between non-classical logics and fuzzy sets. This volume is indispensable for all those who are interested in a deeper understanding of the mathematical foundations of fuzzy set theory, particularly in intuitionistic logic, Lukasiewicz logic, monoidal logic, fuzzy logic and topos-like categories. The tutorial nature of the longer chapters, the comprehensive bibliography and index make it suitable as a valuable and important reference for graduate students as well as research workers in the field of non-classical logics. The book is arranged in three parts: Part A presents the most recent developments in the theory of Heyting algebras, MV-algebras, quantales and GL-monoids. Part B gives a coherent and current account of topos-like categories for fuzzy set theory based on Heyting algebra valued sets, quantal sets of M-valued sets. Part C addresses general aspects of non-classical logics including epistemological problems as well as recursive properties of fuzzy logic.

Codice articolo 9780792331940

Dati bibliografici

• Titolo: Non-Classical Logics and Their Applications to Fuzzy Subsets : A Handbook of the Mathematical Foundations of Fuzzy Set Theory
• Editore: Springer Jan 1995
• Data di pubblicazione: 1995
• Lingua: Inglese
• ISBN 10: 079233194X
• ISBN 13: 9780792331940
• Rilegatura: Buch
• Condizione: Neu

Descrizione articolo

Riassunto

Presents the proceedings of the 14th Linz Seminar on Fuzzy Set Theory held in September, 1992 in Linz, Austria. The articles examine the mathematical foundations of fuzzy set theory, particularly in intuitionistic logic, Lukasiewicz logic, monoidal logic, fuzzy logic, and topos-like categories. Arrangement is in three parts: Part A presents recent developments in the theory of Heyting algebras, MV-algebras, quantales, and GL-monoids. Part B gives an account of topos-like categories for fuzzy set theory based on Heyting algebra valued sets, quantal sets or M-valued sets. Part C addresses general aspects of non-classical logics including epistemological problems and recursive properties of fuzzy logic. Annotation copyright Book News, Inc. Portland, Or.