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)

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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. 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.

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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

PublisherSpringer
ISBN-139789401040969
eBay Product ID (ePID)190996843

Product Key Features

Publication NameNon-Classical Logics and their Applications to Fuzzy Subsets: A Handbook of the Mathematical Foundations of Fuzzy Set Theory
SubjectMathematics
Publication Year2012
TypeTextbook
FormatPaperback
LanguageEnglish
AuthorErich Peter Klement, Ulrich Hoehle
Number of Pages392 Pages

Dimensions

Item Height240 mm
Item Weight643 g
Item Width160 mm
Volume32

Additional Product Features

EditorUlrich Hoehle, Erich Peter Klement
Country/Region of ManufactureNetherlands
Series TitleTheory and Decision Library B
TopicPopular Philosophy
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