Topological and Algebraic Structures in Fuzzy Sets: A Handbook of Recent Developments in the Mathematics of Fuzzy Sets
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2003
|
| Schriftenreihe: | Trends in Logic, Studia Logica Library
20 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This volume summarizes recent developments in the topological and algebraic structures in fuzzy sets and may be rightly viewed as a continuation of the stan dardization of the mathematics of fuzzy sets established in the "Handbook", namely the Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, Volume 3 of The Handbooks of Fuzzy Sets Series (Kluwer Academic Publish ers, 1999). Many of the topological chapters of the present work are not only based upon the foundations and notation for topology laid down in the Hand book, but also upon Handbook developments in convergence, uniform spaces, compactness, separation axioms, and canonical examples; and thus this work is, with respect to topology, a continuation of the standardization of the Hand book. At the same time, this work significantly complements the Handbook in regard to algebraic structures. Thus the present volume is an extension of the content and role of the Handbook as a reference work. On the other hand, this volume, even as the Handbook, is a culmination of mathematical developments motivated by the renowned International Sem inar on Fuzzy Set Theory, also known as the Linz Seminar, held annually in Linz, Austria. Much of the material of this volume is related to the Twenti eth Seminar held in February 1999, material for which the Seminar played a crucial and stimulating role, especially in providing feedback, connections, and the necessary screening of ideas |
| Beschreibung: | 1 Online-Ressource (XI, 470 p) |
| ISBN: | 9789401702317 9789048163786 |
| ISSN: | 1572-6126 |
| DOI: | 10.1007/978-94-017-0231-7 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-017-0231-7 |
| format | Electronic eBook |
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| id | DE-604.BV042424192 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:15Z |
| institution | BVB |
| isbn | 9789401702317 9789048163786 |
| issn | 1572-6126 |
| language | English |
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| spelling | Rodabaugh, Stephen Ernest Verfasser aut Topological and Algebraic Structures in Fuzzy Sets A Handbook of Recent Developments in the Mathematics of Fuzzy Sets edited by Stephen Ernest Rodabaugh, Erich Peter Klement Dordrecht Springer Netherlands 2003 1 Online-Ressource (XI, 470 p) txt rdacontent c rdamedia cr rdacarrier Trends in Logic, Studia Logica Library 20 1572-6126 This volume summarizes recent developments in the topological and algebraic structures in fuzzy sets and may be rightly viewed as a continuation of the stan dardization of the mathematics of fuzzy sets established in the "Handbook", namely the Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, Volume 3 of The Handbooks of Fuzzy Sets Series (Kluwer Academic Publish ers, 1999). Many of the topological chapters of the present work are not only based upon the foundations and notation for topology laid down in the Hand book, but also upon Handbook developments in convergence, uniform spaces, compactness, separation axioms, and canonical examples; and thus this work is, with respect to topology, a continuation of the standardization of the Hand book. At the same time, this work significantly complements the Handbook in regard to algebraic structures. Thus the present volume is an extension of the content and role of the Handbook as a reference work. On the other hand, this volume, even as the Handbook, is a culmination of mathematical developments motivated by the renowned International Sem inar on Fuzzy Set Theory, also known as the Linz Seminar, held annually in Linz, Austria. Much of the material of this volume is related to the Twenti eth Seminar held in February 1999, material for which the Seminar played a crucial and stimulating role, especially in providing feedback, connections, and the necessary screening of ideas Mathematics Logic Group theory Algebra Geometry Logic, Symbolic and mathematical Mathematical Logic and Foundations Order, Lattices, Ordered Algebraic Structures Group Theory and Generalizations Mathematik Klement, Erich Peter Sonstige oth https://doi.org/10.1007/978-94-017-0231-7 Verlag Volltext |
| spellingShingle | Rodabaugh, Stephen Ernest Topological and Algebraic Structures in Fuzzy Sets A Handbook of Recent Developments in the Mathematics of Fuzzy Sets Mathematics Logic Group theory Algebra Geometry Logic, Symbolic and mathematical Mathematical Logic and Foundations Order, Lattices, Ordered Algebraic Structures Group Theory and Generalizations Mathematik |
| title | Topological and Algebraic Structures in Fuzzy Sets A Handbook of Recent Developments in the Mathematics of Fuzzy Sets |
| title_auth | Topological and Algebraic Structures in Fuzzy Sets A Handbook of Recent Developments in the Mathematics of Fuzzy Sets |
| title_exact_search | Topological and Algebraic Structures in Fuzzy Sets A Handbook of Recent Developments in the Mathematics of Fuzzy Sets |
| title_full | Topological and Algebraic Structures in Fuzzy Sets A Handbook of Recent Developments in the Mathematics of Fuzzy Sets edited by Stephen Ernest Rodabaugh, Erich Peter Klement |
| title_fullStr | Topological and Algebraic Structures in Fuzzy Sets A Handbook of Recent Developments in the Mathematics of Fuzzy Sets edited by Stephen Ernest Rodabaugh, Erich Peter Klement |
| title_full_unstemmed | Topological and Algebraic Structures in Fuzzy Sets A Handbook of Recent Developments in the Mathematics of Fuzzy Sets edited by Stephen Ernest Rodabaugh, Erich Peter Klement |
| title_short | Topological and Algebraic Structures in Fuzzy Sets |
| title_sort | topological and algebraic structures in fuzzy sets a handbook of recent developments in the mathematics of fuzzy sets |
| title_sub | A Handbook of Recent Developments in the Mathematics of Fuzzy Sets |
| topic | Mathematics Logic Group theory Algebra Geometry Logic, Symbolic and mathematical Mathematical Logic and Foundations Order, Lattices, Ordered Algebraic Structures Group Theory and Generalizations Mathematik |
| topic_facet | Mathematics Logic Group theory Algebra Geometry Logic, Symbolic and mathematical Mathematical Logic and Foundations Order, Lattices, Ordered Algebraic Structures Group Theory and Generalizations Mathematik |
| url | https://doi.org/10.1007/978-94-017-0231-7 |
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