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.
| ISBN: | 9789401040969 |
| Publication date: | 20th October 2012 |
| Author: | Ulrich Höhle, Erich Peter Klement |
| Publisher: | Springer an imprint of Springer Netherlands |
| Format: | Paperback |
| Pagination: | 392 pages |
| Series: | Theory and Decision Library B |
| Genres: |
Mathematical logic Philosophy: logic Mathematical foundations Algebra |