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Non-Classical Logics and Their Applications to Fuzzy Subsets: A Handbook of the Mathematical Foundations of Fuzzy Set Theory - Couverture rigide
Synopsis
Preface. Introduction. Part A: Algebraic Foundations of Non-Classical Logics. I. alpha-Complete MV-algebras; L.P. Belluce. II. On MV-algebras of continuous functions; A. Di Nola, S. Sessa. III. Free and projective Heyting and monadic Heyting algebras; R. Grigolia. IV. Commutative, residuated l-monoids; U. Höhle. V. A proof of the completeness of the infinite-valued calculus of Lukasiewicz with one variable; D. Mundici, M. Pasquetto. Part B: Non-Classical Models and Topos-Like Categories. VI. Presheaves over GL-monoids; U. Höhle. VII. Quantales: Quantal sets; C.J. Mulvey, M. Nawaz. VIII. Categories of fuzzy sets with values in a quantale or projectale; L.N. Stout. IX. Fuzzy logic and categories of fuzzy sets; O. Wyler. Part C: General Aspects of Non-Classical Logics. X. Prolog extensions to many-valued logics; F. Klawonn. XI. Epistemological aspects of many-valued logics and fuzzy structures; L.J. Kohout. XII. Ultraproduct theorem and recursive properties of fuzzy logic; V. Novák. Bibliography. Index.
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Présentation de l'éditeur
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurKluwer Academic Publishers
- Date d'édition1995
- ISBN 10 079233194X
- ISBN 13 9780792331940
- ReliureRelié
- Langueanglais
- Nombre de pages400
- ÉditeurHohle Ulrich, Klement Erich Peter
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Non-Classical Logics and their Applications to Fuzzy Subsets: A Handbook of the Mathematical Foundations of Fuzzy Set Theory (Theory and Decision Library B)
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Non-Classical Logics and Their Applications to Fuzzy Subsets: A Handbook of the Mathematical Foundations of Fuzzy Set Theory
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Non-Classical Logics and Their Applications to Fuzzy Subsets: Handbook of the Mathematical Foundations of Fuzzy Set Theory
Edité par
Kluwer Academic Publishers, 1995
ISBN 10 : 079233194X
ISBN 13 : 9780792331940
Neuf
Couverture rigide
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Non-Classical Logics and Their Applications to Fuzzy Subsets : A Handbook of the Mathematical Foundations of Fuzzy Set Theory
Edité par
Springer Jan 1995, 1995
ISBN 10 : 079233194X
ISBN 13 : 9780792331940
Neuf
Couverture rigide
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Buch. Etat : Neu. 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. N° de réf. du vendeur 9780792331940
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