Non-Classical Logics and their Applications to Fuzzy Subsets A Handbook of the Mathematical Foundations of Fuzzy Set Theory

You must be logged in to access this title.

Sign up now

Already a member? Log in

Synopsis

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.

Book details

Edition:
1995
Series:
Theory and Decision Library B (Book 32)
Author:
Ulrich Höhle, Erich Peter Klement
ISBN:
9789401102155
Related ISBNs:
9780792331940
Publisher:
Springer Netherlands
Pages:
N/A
Reading age:
Not specified
Includes images:
No
Date of addition:
2022-08-13
Usage restrictions:
Copyright
Copyright date:
1995
Copyright by:
N/A 
Adult content:
No
Language:
English
Categories:
Mathematics and Statistics, Nonfiction, Philosophy