Non-Classical Logics and their Applications to Fuzzy Subsets : A Handbook of the Mathematical Foundations of Fuzzy Set Theory /
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...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Other Authors: | |
| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht :
Springer Netherlands,
1995.
|
| Series: | Theory and decision library. Mathematical and statistical methods ;
32. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
|---|---|
| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (viii, 392 pages) |
| ISBN: | 9789401102155 (electronic bk.) 9401102155 (electronic bk.) |