Non-Classical Logics and their Applications to Fuzzy Subsets: A Handbook of the Mathematical Foundations of Fuzzy Set Theory (Theory and Decision Library B:) |  | Creators: Ulrich Hohle, E.p Klement
Publisher: Springer
Category: Book
This item is no longer available
Sales Rank: 4362233
Media: Hardcover
Edition: 1
Pages: 400
Number Of Items: 1
Shipping Weight (lbs): 1.9
Dimensions (in): 10.3 x 7 x 1.3
ISBN: 079233194X
Dewey Decimal Number: 511.3
EAN: 9780792331940
Publication Date: January 31, 1995
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Product Description
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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