Rough Sets: Mathematical Foundations
A comprehensive introduction to mathematical structures essential for Rough Set Theory. The book enables the reader to systematically study all topics of rough set theory. After a detailed introduction in Part 1 along with an extensive bibliography of current research papers. Part 2 presents a self-...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Heidelberg
Physica-Verlag HD
2002
|
| Schriftenreihe: | Advances in Soft Computing
15 |
| Schlagworte: | |
| Online-Zugang: | FHI01 BTU01 Volltext |
| Zusammenfassung: | A comprehensive introduction to mathematical structures essential for Rough Set Theory. The book enables the reader to systematically study all topics of rough set theory. After a detailed introduction in Part 1 along with an extensive bibliography of current research papers. Part 2 presents a self-contained study that brings together all the relevant information from respective areas of mathematics and logics. Part 3 provides an overall picture of theoretical developments in rough set theory, covering logical, algebraic, and topological methods. Topics covered include: algebraic theory of approximation spaces, logical and set-theoretical approaches to indiscernibility and functional dependence, topological spaces of rough sets. The final part gives a unique view on mutual relations between fuzzy and rough set theories (rough fuzzy and fuzzy rough sets). Over 300 excercises allow the reader to master the topics considered. The book can be used as a textbook and as a reference work |
| Beschreibung: | 1 Online-Ressource (XIX, 534 p. 3 illus) |
| ISBN: | 9783790817768 |
| DOI: | 10.1007/978-3-7908-1776-8 |
Internformat
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| 520 | |a A comprehensive introduction to mathematical structures essential for Rough Set Theory. The book enables the reader to systematically study all topics of rough set theory. After a detailed introduction in Part 1 along with an extensive bibliography of current research papers. Part 2 presents a self-contained study that brings together all the relevant information from respective areas of mathematics and logics. Part 3 provides an overall picture of theoretical developments in rough set theory, covering logical, algebraic, and topological methods. Topics covered include: algebraic theory of approximation spaces, logical and set-theoretical approaches to indiscernibility and functional dependence, topological spaces of rough sets. The final part gives a unique view on mutual relations between fuzzy and rough set theories (rough fuzzy and fuzzy rough sets). Over 300 excercises allow the reader to master the topics considered. The book can be used as a textbook and as a reference work | ||
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Datensatz im Suchindex
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| author | Polkowski, Lech |
| author_facet | Polkowski, Lech |
| author_role | aut |
| author_sort | Polkowski, Lech |
| author_variant | l p lp |
| building | Verbundindex |
| bvnumber | BV045149528 |
| classification_rvk | ST 285 ST 301 |
| collection | ZDB-2-ENG |
| ctrlnum | (ZDB-2-ENG)978-3-7908-1776-8 (OCoLC)1050946071 (DE-599)BVBBV045149528 |
| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| doi_str_mv | 10.1007/978-3-7908-1776-8 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:10:04Z |
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| isbn | 9783790817768 |
| language | English |
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| spelling | Polkowski, Lech Verfasser aut Rough Sets Mathematical Foundations by Lech Polkowski Heidelberg Physica-Verlag HD 2002 1 Online-Ressource (XIX, 534 p. 3 illus) txt rdacontent c rdamedia cr rdacarrier Advances in Soft Computing 15 A comprehensive introduction to mathematical structures essential for Rough Set Theory. The book enables the reader to systematically study all topics of rough set theory. After a detailed introduction in Part 1 along with an extensive bibliography of current research papers. Part 2 presents a self-contained study that brings together all the relevant information from respective areas of mathematics and logics. Part 3 provides an overall picture of theoretical developments in rough set theory, covering logical, algebraic, and topological methods. Topics covered include: algebraic theory of approximation spaces, logical and set-theoretical approaches to indiscernibility and functional dependence, topological spaces of rough sets. The final part gives a unique view on mutual relations between fuzzy and rough set theories (rough fuzzy and fuzzy rough sets). Over 300 excercises allow the reader to master the topics considered. The book can be used as a textbook and as a reference work Mathematics Mathematical Logic and Foundations Artificial Intelligence (incl. Robotics) Information Systems and Communication Service Data Structures, Cryptology and Information Theory Data structures (Computer science) Computers Artificial intelligence Mathematical logic Grobmenge (DE-588)4362502-2 gnd rswk-swf Grobmenge (DE-588)4362502-2 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9783790815108 https://doi.org/10.1007/978-3-7908-1776-8 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Polkowski, Lech Rough Sets Mathematical Foundations Mathematics Mathematical Logic and Foundations Artificial Intelligence (incl. Robotics) Information Systems and Communication Service Data Structures, Cryptology and Information Theory Data structures (Computer science) Computers Artificial intelligence Mathematical logic Grobmenge (DE-588)4362502-2 gnd |
| subject_GND | (DE-588)4362502-2 |
| title | Rough Sets Mathematical Foundations |
| title_auth | Rough Sets Mathematical Foundations |
| title_exact_search | Rough Sets Mathematical Foundations |
| title_full | Rough Sets Mathematical Foundations by Lech Polkowski |
| title_fullStr | Rough Sets Mathematical Foundations by Lech Polkowski |
| title_full_unstemmed | Rough Sets Mathematical Foundations by Lech Polkowski |
| title_short | Rough Sets |
| title_sort | rough sets mathematical foundations |
| title_sub | Mathematical Foundations |
| topic | Mathematics Mathematical Logic and Foundations Artificial Intelligence (incl. Robotics) Information Systems and Communication Service Data Structures, Cryptology and Information Theory Data structures (Computer science) Computers Artificial intelligence Mathematical logic Grobmenge (DE-588)4362502-2 gnd |
| topic_facet | Mathematics Mathematical Logic and Foundations Artificial Intelligence (incl. Robotics) Information Systems and Communication Service Data Structures, Cryptology and Information Theory Data structures (Computer science) Computers Artificial intelligence Mathematical logic Grobmenge |
| url | https://doi.org/10.1007/978-3-7908-1776-8 |
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