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140122 ||| eng |
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|a 9789401102155
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| 100 |
1 |
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|a Höhle, Ulrich
|e [editor]
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| 245 |
0 |
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|a Non-Classical Logics and their Applications to Fuzzy Subsets
|h Elektronische Ressource
|b A Handbook of the Mathematical Foundations of Fuzzy Set Theory
|c edited by Ulrich Höhle, Erich Peter Klement
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| 250 |
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|a 1st ed. 1995
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| 260 |
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|a Dordrecht
|b Springer Netherlands
|c 1995, 1995
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| 300 |
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|a VIII, 392 p
|b online resource
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| 505 |
0 |
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|a 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
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| 653 |
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|a Mathematical logic
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| 653 |
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|a Logic
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| 653 |
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|a Algebra
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| 653 |
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|a Order, Lattices, Ordered Algebraic Structures
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| 653 |
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|a Mathematical Logic and Foundations
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| 700 |
1 |
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|a Klement, Erich Peter
|e [editor]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
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|a Theory and Decision Library B, Mathematical and Statistical Methods
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| 028 |
5 |
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|a 10.1007/978-94-011-0215-5
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| 856 |
4 |
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|u https://doi.org/10.1007/978-94-011-0215-5?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 511.3
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| 520 |
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|a 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
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