Fuzzy sets and fuzzy logic: the foundations of application - from a mathematical point of view
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Wiesbaden
Vieweg
[2012]
Toulouse ; Marseille ; Barcelona Teknea |
| Ausgabe: | Repr. |
| Schriftenreihe: | Artificial intelligence
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Original-Ausg. 1993 bei Vieweg Wiesbaden ersch. |
| Beschreibung: | VIII, 216 S. |
| ISBN: | 3322868133 9783322868138 |
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Datensatz im Suchindex
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| adam_text |
IMAGE 1
CONTENTS
1 LOGICAL PRELIMINARIES 1
1.1 BASIC NOTIONS 1
1.2 T-NORMS AND $-OPERATORS 5
1.3 T-NORM BASED CONNECTIVES 18
2 BASIC FUZZY SET THEORY . 37
2.1 SET ALGEBRA FOR FUZZY SETS 37
2.2 FUZZY RELATIONS - 58
2.3 THE FUELL IMAGE UNDER A RELATION 63
2.4 SPECIAL TYPES OF FUZZY RELATIONS 67
2.5 GRADED PROPERTIES OF FUZZY RELATIONS 83
3 SET EQUATIONS WITH FUZZY SETS 97
3.1 FUZZY EQUATIONS AND SOME OF THEIR APPLICATIONS 97
3.2 SOLVABILITY OF FUZZY RELATIONAL EQUATIONS 100
3.3 SOLVABILITY OF FUZZY ARITHMETICAL EQUATIONS 103
3.4 SOLVABILITY OF SYSTEMS OF FUZZY EQUATIONS 106
3.5 SOLVABILITY DEGREES AND APPROXIMATE SOLUTIONS 111
3.6 TOWARDS MORE DIFFICULT EQUATIONS 127
4 FUZZY CONTROLLERS 133
4.1 THE CONSTRUCTION OF FUZZY CONTROLLERS 133
4.2 THE PROBLEM OF INTERACTION 142
4.2.1 GENERAL RESULTS ON INTERACTIVITY 143
4.2.2 CODING RULES BY A X* B 147
4.2.3 CODING RULES BY ( A X* T B ) UT 2 ( A X ^ Y ) 150
4.2.4 CODING RULES BY (A X^ V)UF 2 ( X X, B ) 155
4.3 MANIPULATION OF FUZZY DATA 157
HTTP://D-NB.INFO/1024378020
IMAGE 2
VIII CONTENTS
5 METHODOLOGICAL ISSUES 160
5.1 COMPARISON OF FUZZY SETS 169
5.2 APPROXIMATE SOLUTIONS 175
5.3 FUZZY EQUATIONS FOR PROCESSING FUZZY DATA 181
5.4 EVALUATION OF FUZZY MODELS 186
5.4.1 EVAIUATING FUZZY MODELS THROUGH FUZZY INTEGRALS . . . 186 5.4.2
EVAIUATING FUZZY MODELS USING PROBABILISTIC IDEAS . . . 190 5.4.3
CONSEQUENCES FOR FUZZY MODELLING STRATEGIES 193 5.5 CONTROLLABILITY AND
PREDICTABILITY 196
BIBLIOGRAPHY 205
INDEX 214 |
| any_adam_object | 1 |
| author | Gottwald, Siegfried 1943-2015 |
| author_GND | (DE-588)117710652 |
| author_facet | Gottwald, Siegfried 1943-2015 |
| author_role | aut |
| author_sort | Gottwald, Siegfried 1943-2015 |
| author_variant | s g sg |
| building | Verbundindex |
| bvnumber | BV040995507 |
| ctrlnum | (OCoLC)854709576 (DE-599)DNB1024378020 |
| dewey-full | 511.3223 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3223 |
| dewey-search | 511.3223 |
| dewey-sort | 3511.3223 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Repr. |
| format | Book |
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| id | DE-604.BV040995507 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-03T00:39:10Z |
| institution | BVB |
| isbn | 3322868133 9783322868138 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025973215 |
| oclc_num | 854709576 |
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| owner | DE-29T |
| owner_facet | DE-29T |
| physical | VIII, 216 S. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Vieweg Teknea |
| record_format | marc |
| series2 | Artificial intelligence |
| spelling | Gottwald, Siegfried 1943-2015 Verfasser (DE-588)117710652 aut Fuzzy sets and fuzzy logic the foundations of application - from a mathematical point of view Siegfried Gottwald Repr. Wiesbaden Vieweg [2012] Toulouse ; Marseille ; Barcelona Teknea VIII, 216 S. txt rdacontent n rdamedia nc rdacarrier Artificial intelligence Original-Ausg. 1993 bei Vieweg Wiesbaden ersch. Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Künstliche Intelligenz (DE-588)4033447-8 gnd rswk-swf Fuzzy-Logik (DE-588)4341284-1 gnd rswk-swf Fuzzy-Menge (DE-588)4061868-7 gnd rswk-swf Fuzzy-Menge (DE-588)4061868-7 s Künstliche Intelligenz (DE-588)4033447-8 s 1\p DE-604 Fuzzy-Logik (DE-588)4341284-1 s 2\p DE-604 Mathematische Logik (DE-588)4037951-6 s 3\p DE-604 Erscheint auch als Online-Ausgabe 978-3-322-86812-1 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4084927&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025973215&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gottwald, Siegfried 1943-2015 Fuzzy sets and fuzzy logic the foundations of application - from a mathematical point of view Mathematische Logik (DE-588)4037951-6 gnd Künstliche Intelligenz (DE-588)4033447-8 gnd Fuzzy-Logik (DE-588)4341284-1 gnd Fuzzy-Menge (DE-588)4061868-7 gnd |
| subject_GND | (DE-588)4037951-6 (DE-588)4033447-8 (DE-588)4341284-1 (DE-588)4061868-7 |
| title | Fuzzy sets and fuzzy logic the foundations of application - from a mathematical point of view |
| title_auth | Fuzzy sets and fuzzy logic the foundations of application - from a mathematical point of view |
| title_exact_search | Fuzzy sets and fuzzy logic the foundations of application - from a mathematical point of view |
| title_full | Fuzzy sets and fuzzy logic the foundations of application - from a mathematical point of view Siegfried Gottwald |
| title_fullStr | Fuzzy sets and fuzzy logic the foundations of application - from a mathematical point of view Siegfried Gottwald |
| title_full_unstemmed | Fuzzy sets and fuzzy logic the foundations of application - from a mathematical point of view Siegfried Gottwald |
| title_short | Fuzzy sets and fuzzy logic |
| title_sort | fuzzy sets and fuzzy logic the foundations of application from a mathematical point of view |
| title_sub | the foundations of application - from a mathematical point of view |
| topic | Mathematische Logik (DE-588)4037951-6 gnd Künstliche Intelligenz (DE-588)4033447-8 gnd Fuzzy-Logik (DE-588)4341284-1 gnd Fuzzy-Menge (DE-588)4061868-7 gnd |
| topic_facet | Mathematische Logik Künstliche Intelligenz Fuzzy-Logik Fuzzy-Menge |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4084927&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025973215&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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