| Non-Classical Logics and Their Applications to Fuzzy Subsets: A Handbook of the Mathematical Foundations of Fuzzy Set Theory Softcover Repri Edition Contributor(s): Höhle, Ulrich (Editor), Klement, Erich Peter (Editor) |
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ISBN: 9401040966 ISBN-13: 9789401040969 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback Published: October 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Logic - Mathematics | Algebra - Abstract - Philosophy | Logic |
| Dewey: 160 |
| Series: Theory and Decision Library B |
| Physical Information: 0.83" H x 6.14" W x 9.21" (1.25 lbs) 392 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |