Non-Classical Logics and their Applications to Fuzzy Subsets 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...

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Bibliographic Details
Other Authors: Höhle, Ulrich (Editor), Klement, Erich Peter (Editor)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1995, 1995
Edition:1st ed. 1995
Series:Theory and Decision Library B, Mathematical and Statistical Methods
Subjects:
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Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • A Algebraic Foundations of Non-Classical Logics
  • I ?-Complete MV-algebras
  • II On MV-algebras of continuous functions
  • III Free and projective Heyting and monadic Heyting algebras
  • IV Commutative, residuated 1—monoids
  • V A Proof of the completeness of the infinite-valued calculus of Lukasiewicz with one varibale
  • B Non-Classical Models and Topos-Like Categories
  • VI Presheaves Over GL-monoide
  • VII Quantales: Quantal sets
  • VIII Categories of fuzzy sets with values in a quantale or project ale
  • IX Fuzzy logic and categories of fuzzy sets
  • C General Aspects of Non-Classical Logics 269
  • X Prolog extensions to many-valued logics
  • XI Epistemological aspects of many-valued logics and fuzzy structures
  • XII Ultraproduct theorem and recursive properties of fuzzy logic