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

Erich Peter Klement (u. a.)

ISBN 10: 9401040966 / ISBN 13: 9789401040969

Published by Springer, 2012

About this Item

Non-Classical Logics and their Applications to Fuzzy Subsets | A Handbook of the Mathematical Foundations of Fuzzy Set Theory | Erich Peter Klement (u. a.) | Taschenbuch | viii | Englisch | 2012 | Springer | EAN 9789401040969 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand.

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Bibliographic Details

• Title: Non-Classical Logics and their Applications to Fuzzy Subsets | A Handbook of the Mathematical Foundations of Fuzzy Set Theory
• Publisher: Springer
• Publication Date: 2012
• Language: English
• ISBN 10: 9401040966
• ISBN 13: 9789401040969
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 240W x 160H x 22D millimeters 240 millimeters width by 160 millimeters height by 22 millimeters depth
• Weight: 643 grams
• Seller catalogs:
  • Bücher

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.