Ulrich Hohle & Erich Peter Klement 
Non-Classical Logics and their Applications to Fuzzy Subsets [PDF ebook] 
A Handbook of the Mathematical Foundations of Fuzzy Set Theory

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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.

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Language English ● Format PDF ● ISBN 9789401102155 ● Editor Ulrich Hohle & Erich Peter Klement ● Publisher Springer Netherlands ● Published 2012 ● Downloadable 3 times ● Currency EUR ● ID 4585014 ● Copy protection Adobe DRM
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