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Book synopsis

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. §

Book details

Book category Books in English Humanities Philosophy Philosophy: logic

• Full title: Non-Classical Logics and their Applications to Fuzzy Subsets
• Subtitle: A Handbook of the Mathematical Foundations of Fuzzy Set Theory
• Author: Ulrich Höhle, Erich Peter Klement
• Language: English
• Binding: Paperback
• Number of pages: 392
• EAN: 9789401040969
• ISBN: 9401040966
• ID: 02258191
• Publisher: Springer
• Weight: 643 g
• Dimensions: 240 × 160 × 22 mm
• Date of publishing: 20. October 2012

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