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

Hohle, Ulrich

ISBN 10: 9401040966 / ISBN 13: 9789401040969

Published by Springer 2012-10, 2012

About this Item

Seller Inventory # 6666-IUK-9789401040969

Bibliographic Details

• Title: Non-Classical Logics and their Applications to Fuzzy Subsets : A Handbook of the Mathematical Foundations of Fuzzy Set Theory
• Publisher: Springer 2012-10
• Publication Date: 2012
• Language: English
• ISBN 10: 9401040966
• ISBN 13: 9789401040969
• Binding: PF
• Condition: New

About this title

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.