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Non-Classical Logics and their Applications to Fuzzy Subsets: A Handbook of the Mathematical Foundations of Fuzzy Set Theory: v. 32 (Theory and Decision Library) - Tapa dura

Hohle, Ulrich

 
9780792331940: Non-Classical Logics and their Applications to Fuzzy Subsets: A Handbook of the Mathematical Foundations of Fuzzy Set Theory: v. 32 (Theory and Decision Library)

Sinopsis

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.

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Reseña del editor

This work is devoted to a study of various relations between non-classical logics and fuzzy sets. This volume is aimed at 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 should 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.

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