bokomslag Non-Classical Logics and their Applications to Fuzzy Subsets
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Non-Classical Logics and their Applications to Fuzzy Subsets

Ulrich Hhle Erich Peter Klement

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  • 392 sidor
  • 2012
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.
  • Författare: Ulrich Hhle, Erich Peter Klement
  • Format: Pocket/Paperback
  • ISBN: 9789401040969
  • Språk: Engelska
  • Antal sidor: 392
  • Utgivningsdatum: 2012-10-20
  • Förlag: Springer