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...
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1995
|
| Ausgabe: | 1st ed. 1995 |
| Schriftenreihe: | Theory and Decision Library B, Mathematical and Statistical Methods
32 |
| Schlagworte: | |
| Online-Zugang: | BTU01 URL des Erstveröffentlichers |
| Zusammenfassung: | 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 |
| Beschreibung: | 1 Online-Ressource (VIII, 392 p) |
| ISBN: | 9789401102155 |
| DOI: | 10.1007/978-94-011-0215-5 |
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| edition | 1st ed. 1995 |
| format | Electronic eBook |
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| spelling | Non-Classical Logics and their Applications to Fuzzy Subsets A Handbook of the Mathematical Foundations of Fuzzy Set Theory edited by Ulrich Höhle, Erich Peter Klement 1st ed. 1995 Dordrecht Springer Netherlands 1995 1 Online-Ressource (VIII, 392 p) txt rdacontent c rdamedia cr rdacarrier Theory and Decision Library B, Mathematical and Statistical Methods 32 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 Mathematical Logic and Foundations Order, Lattices, Ordered Algebraic Structures Logic Mathematical logic Algebra Ordered algebraic structures Fuzzy-Menge (DE-588)4061868-7 gnd rswk-swf Nichtklassische Logik (DE-588)4197462-1 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1992 Linz gnd-content Nichtklassische Logik (DE-588)4197462-1 s Fuzzy-Menge (DE-588)4061868-7 s DE-604 Höhle, Ulrich edt Klement, Erich Peter edt Erscheint auch als Druck-Ausgabe 9780792331940 Erscheint auch als Druck-Ausgabe 9789401040969 Erscheint auch als Druck-Ausgabe 9789401102162 https://doi.org/10.1007/978-94-011-0215-5 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Non-Classical Logics and their Applications to Fuzzy Subsets A Handbook of the Mathematical Foundations of Fuzzy Set Theory Mathematical Logic and Foundations Order, Lattices, Ordered Algebraic Structures Logic Mathematical logic Algebra Ordered algebraic structures Fuzzy-Menge (DE-588)4061868-7 gnd Nichtklassische Logik (DE-588)4197462-1 gnd |
| subject_GND | (DE-588)4061868-7 (DE-588)4197462-1 (DE-588)1071861417 |
| title | Non-Classical Logics and their Applications to Fuzzy Subsets A Handbook of the Mathematical Foundations of Fuzzy Set Theory |
| title_auth | Non-Classical Logics and their Applications to Fuzzy Subsets A Handbook of the Mathematical Foundations of Fuzzy Set Theory |
| title_exact_search | Non-Classical Logics and their Applications to Fuzzy Subsets A Handbook of the Mathematical Foundations of Fuzzy Set Theory |
| title_exact_search_txtP | Non-Classical Logics and their Applications to Fuzzy Subsets A Handbook of the Mathematical Foundations of Fuzzy Set Theory |
| title_full | Non-Classical Logics and their Applications to Fuzzy Subsets A Handbook of the Mathematical Foundations of Fuzzy Set Theory edited by Ulrich Höhle, Erich Peter Klement |
| title_fullStr | Non-Classical Logics and their Applications to Fuzzy Subsets A Handbook of the Mathematical Foundations of Fuzzy Set Theory edited by Ulrich Höhle, Erich Peter Klement |
| title_full_unstemmed | Non-Classical Logics and their Applications to Fuzzy Subsets A Handbook of the Mathematical Foundations of Fuzzy Set Theory edited by Ulrich Höhle, Erich Peter Klement |
| title_short | Non-Classical Logics and their Applications to Fuzzy Subsets |
| title_sort | non classical logics and their applications to fuzzy subsets a handbook of the mathematical foundations of fuzzy set theory |
| title_sub | A Handbook of the Mathematical Foundations of Fuzzy Set Theory |
| topic | Mathematical Logic and Foundations Order, Lattices, Ordered Algebraic Structures Logic Mathematical logic Algebra Ordered algebraic structures Fuzzy-Menge (DE-588)4061868-7 gnd Nichtklassische Logik (DE-588)4197462-1 gnd |
| topic_facet | Mathematical Logic and Foundations Order, Lattices, Ordered Algebraic Structures Logic Mathematical logic Algebra Ordered algebraic structures Fuzzy-Menge Nichtklassische Logik Konferenzschrift 1992 Linz |
| url | https://doi.org/10.1007/978-94-011-0215-5 |
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