Formale Begriffsanalyse: mathematische Grundlagen
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin [u.a.]
Springer
1996
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 286 S. graph. Darst. |
| ISBN: | 3540608680 |
Staff View
MARC
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| 650 | 4 | |a Künstliche Intelligenz | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Lattice theory | |
| 650 | 4 | |a Comprehension (Theory of knowledge) -- Mathematical models | |
| 650 | 4 | |a Information theory | |
| 650 | 4 | |a Artificial intelligence -- Mathematical models | |
| 650 | 4 | |a Logic, Symbolic and mathematical | |
| 650 | 0 | 7 | |a Formale Begriffsanalyse |0 (DE-588)4351376-1 |2 gnd |9 rswk-swf |
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Record in the Search Index
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| adam_text | Inhaltsverzeichnis
0. Ordnungstheoretische Grundlagen 1
0.1 Geordnete Mengen 1
0.2 Vollständige Verbände 5
0.3 Hüllenoperatoren 8
0.4 Galois Verbindungen 11
0.5 Literatur und Hinweise 16
1. Begriffsverbände von Kontexten 17
1.1 Kontext und Begriff 17
1.2 Kontext und Begriffsverband 24
1.3 Mehrwertige Kontexte 36
1.4 Kontextkonstruktionen und Standardskalen 46
1.5 Literatur und Hinweise 58
2. Bestimmung und Darstellung 63
2.1 Alle Begriffe eines Kontextes 63
2.2 Diagramme 69
2.3 Implikationen zwischen Merkmalen 79
2.4 Abhängigkeiten zwischen Merkmalen 91
2.5 Literatur und Hinweise 94
3. Teile und Faktoren 97
3.1 Teilkontexte 97
3.2 Vollständige Kongruenzen 104
3.3 Abgeschlossene Teilrelationen 112
3.4 Blockrelationen und Toleranzen 120
3.5 Literatur und Hinweise 128
4. Zerlegungen von Begriffsverbänden 131
4.1 Subdirekte Zerlegungen 131
4.2 Atlas Zerlegungen 139
4.3 Substitution 152
X Inhaltsverzeichnis
4.4 Tensorielle Zerlegungen 164
4.5 Literatur und Hinweise 181
5. Konstruktionen von Begriffsverbänden 183
5.1 Subdirekte Produktkonstruktionen 184
5.2 Verklebungen 193
5.3 Lokale Verdopplung 199
5.4 Tensorielle Konstruktionen 206
5.5 Literatur und Hinweise 217
6. Eigenschaften von Begriffsverbänden 219
6.1 Distributivität 219
6.2 Halbmodularität und Modularität 224
6.3 Semidistributivität und Lokale Distributivität 229
6.4 Dimension 237
6.5 Literatur und Hinweise 244
7. Kontextvergleich und begriffliche Meßbarkeit 247
7.1 Automorphismen von Kontexten 248
7.2 Morphismen und Bindungen 254
7.3 Skalenmaße 260
7.4 Meßbarkeitssätze 266
7.5 Literatur und Hinweise 271
Literatur 273
Indexregister 283
|
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| callnumber-raw | QA171.5.G35 1996 |
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| dewey-ones | 512 - Algebra |
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| dewey-sort | 3512 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Psychologie Mathematik Wirtschaftswissenschaften |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:56:06Z |
| institution | BVB |
| isbn | 3540608680 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007085233 |
| oclc_num | 34953498 |
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| physical | X, 286 S. graph. Darst. |
| publishDate | 1996 |
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| spelling | Ganter, Bernhard 1949- Verfasser (DE-588)108472760 aut Formale Begriffsanalyse mathematische Grundlagen Bernhard Ganter ; Rudolf Wille Berlin [u.a.] Springer 1996 X, 286 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Künstliche Intelligenz Mathematisches Modell Lattice theory Comprehension (Theory of knowledge) -- Mathematical models Information theory Artificial intelligence -- Mathematical models Logic, Symbolic and mathematical Formale Begriffsanalyse (DE-588)4351376-1 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Formale Begriffsanalyse (DE-588)4351376-1 s DE-604 Wille, Rudolf 1937-2017 Verfasser (DE-588)120861623 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007085233&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ganter, Bernhard 1949- Wille, Rudolf 1937-2017 Formale Begriffsanalyse mathematische Grundlagen Künstliche Intelligenz Mathematisches Modell Lattice theory Comprehension (Theory of knowledge) -- Mathematical models Information theory Artificial intelligence -- Mathematical models Logic, Symbolic and mathematical Formale Begriffsanalyse (DE-588)4351376-1 gnd |
| subject_GND | (DE-588)4351376-1 (DE-588)4123623-3 |
| title | Formale Begriffsanalyse mathematische Grundlagen |
| title_auth | Formale Begriffsanalyse mathematische Grundlagen |
| title_exact_search | Formale Begriffsanalyse mathematische Grundlagen |
| title_full | Formale Begriffsanalyse mathematische Grundlagen Bernhard Ganter ; Rudolf Wille |
| title_fullStr | Formale Begriffsanalyse mathematische Grundlagen Bernhard Ganter ; Rudolf Wille |
| title_full_unstemmed | Formale Begriffsanalyse mathematische Grundlagen Bernhard Ganter ; Rudolf Wille |
| title_short | Formale Begriffsanalyse |
| title_sort | formale begriffsanalyse mathematische grundlagen |
| title_sub | mathematische Grundlagen |
| topic | Künstliche Intelligenz Mathematisches Modell Lattice theory Comprehension (Theory of knowledge) -- Mathematical models Information theory Artificial intelligence -- Mathematical models Logic, Symbolic and mathematical Formale Begriffsanalyse (DE-588)4351376-1 gnd |
| topic_facet | Künstliche Intelligenz Mathematisches Modell Lattice theory Comprehension (Theory of knowledge) -- Mathematical models Information theory Artificial intelligence -- Mathematical models Logic, Symbolic and mathematical Formale Begriffsanalyse Lehrbuch |
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