Non-Classical Logics and their Applications to Fuzzy Subsets: A Handbook of the Mathematical Foundations of Fuzzy Set Theory: Theory and Decision Library B, cartea 32
Editat de Ulrich Höhle, Erich Peter Klementen Limba Engleză Paperback – 20 oct 2012
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.
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Specificații
ISBN-13: 9789401040969
ISBN-10: 9401040966
Pagini: 404
Ilustrații: VIII, 392 p.
Dimensiuni: 160 x 240 x 21 mm
Greutate: 0.57 kg
Ediția:Softcover reprint of the original 1st ed. 1995
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Theory and Decision Library B
Locul publicării:Dordrecht, Netherlands
ISBN-10: 9401040966
Pagini: 404
Ilustrații: VIII, 392 p.
Dimensiuni: 160 x 240 x 21 mm
Greutate: 0.57 kg
Ediția:Softcover reprint of the original 1st ed. 1995
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Theory and Decision Library B
Locul publicării:Dordrecht, Netherlands
Public țintă
ResearchCuprins
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.