Non-Classical Logics and their Applications to Fuzzy Subsets: A Handbook of the Mathematical Foundations of Fuzzy Set Theory by Erich Peter Klement, Ulrich Hoehle (Paperback, 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.
Product Identifiers
Publisher
Springer
ISBN-13
9789401040969
eBay Product ID (ePID)
190996843
Product Key Features
Author
Erich Peter Klement, Ulrich Hoehle
Publication Name
Non-Classical Logics and their Applications to Fuzzy Subsets: A Handbook of the Mathematical Foundations of Fuzzy Set Theory
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2012
Type
Textbook
Number of Pages
392 Pages
Dimensions
Item Height
240mm
Item Width
160mm
Volume
32
Item Weight
643g
Additional Product Features
Series Title
Theory and Decision Library B
Topic
Popular Philosophy
Editor
Ulrich Hoehle, Erich Peter Klement
Country/Region of Manufacture
Netherlands
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