Non-Classical Logics and their Applications to Fuzzy Subsets [electronic resource] : A Handbook of the Mathematical Foundations of Fuzzy Set Theory /
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.
Main Authors: | Höhle, Ulrich. editor., Klement, Erich Peter. editor., SpringerLink (Online service) |
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Format: | Texto biblioteca |
Language: | eng |
Published: |
Dordrecht : Springer Netherlands : Imprint: Springer,
1995
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Subjects: | Mathematics., Logic., Algebra., Ordered algebraic structures., Mathematical logic., Mathematical Logic and Foundations., Order, Lattices, Ordered Algebraic Structures., |
Online Access: | http://dx.doi.org/10.1007/978-94-011-0215-5 |
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