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

Ulrich Hohle (Curatore)

Erich Peter Klement (Curatore)

Kluwer Academic Publishers, 1995

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.

• Curatore: Ulrich Hohle, Erich Peter Klement
• Editore: Kluwer Academic Publishers
• Collana: Theory and Decision Library
• Anno: 1995
• Rilegatura: Hardback
• Pagine: 400 p.
• EAN: 9780792331940

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