Fuzzy graphs and fuzzy hypergraphs: with 10 tables
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Heidelberg [u.a.]
Physica-Verl.
2000
|
| Series: | Studies in fuzziness and soft computing
46 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 248 S. graph. Darst. |
| ISBN: | 3790812862 |
Staff View
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Record in the Search Index
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| adam_text | JOHN N. MORDESON PREMCHAND S. NAIR FUZZY GRAPHS AND FUZZY HYPERGRAPHS
WITH 29 FIGURES AND 10 TABLES PHYSICA-VERLAG A SPRINGER-VERLAG COMPANY
CONTENTS FOREWORD V PREFACE VII ACKNOWLEDGMENTS IX 1 FUZZY SUBSETS 1 1.1
FUZZY RELATIONS 4 1.2 FUZZY EQUIVALENCE RELATIONS 6 1.3 PATTERN
CLASSIFICATION 9 1.4 SIMILARITY RELATIONS 11 1.5 REFERENCES 16 2 FUZZY
GRAPHS 19 2.1 PATHS AND CONNECTEDNESS 20 BRIDGES AND CUT VERTICES 21
FORESTS AND TREES 22 TREES AND CYCLES 25 A CHARACTERIZATION OF FUZZY
TREES 26 (FUZZY) CUT SETS 31 (FUZZY) CHORDS, (FUZZY) COTREES, AND
(FUZZY) TWIGS . . . . 33 (FUZZY) L-CHAIN WITH BOUNDARY 0, COBOUNDARY,
AND COCYLES 35 (FUZZY) CYCLE SET AND (FUZZY) COCYCLE SET 36 2.2 FUZZY
LINE GRAPHS 40 XII CONTENTS 2.3 FUZZY INTERVAL GRAPHS 45 FUZZY
INTERSECTION GRAPHS 46 FUZZY INTERVAL GRAPHS 47 THE FULKERSON AND GROSS
CHARACTERIZATION 49 THE GILMORE AND HOFFMAN CHARACTERIZATION 51 2.4
OPERATIONS ON FUZZY GRAPHS 62 CARTESIAN PRODUCT AND COMPOSITION 62 UNION
AND JOIN 66 2.5 ON FUZZY TREE DEFINITION 70 2.6 REFERENCES 78 3
APPLICATIONS OF FUZZY GRAPHS 83 3.1 CLUSTERS 86 3.2 CLUSTER ANALYSIS 87
COHESIVENESS 92 SLICING IN FUZZY GRAPHS 93 3.3 APPLICATION TO CLUSTER
ANALYSIS 97 3.4 FUZZY INTERSECTION EQUATIONS 102 EXISTENCE OF SOLUTIONS
102 3.5 FUZZY GRAPHS IN DATABASE THEORY 108 REPRESENTATION OF DEPENDENCY
STRUCTURE *(*, Y ) ILL 3.6 A DESCRIPTION OF STRENGTHENING AND WEAKENING
MEMBERS OF A GROUP 112 CONNECTEDNESS CRITERIA 114 INCLUSIVE
CONNECTEDNESS CATEGORIES 117 EXCLUSIVE CONNECTEDNESS CATEGORIES 118 3.7
AN APPLICATION TO THE PROBLEM CONCERNING GROUP STRUCTURE 120
CONNECTEDNESS OF A FUZZY GRAPH 121 WEAKENING AND STRENGTHENING POINTS A
DIRECTED GRAPH ... 123 3.8 REFERENCES 129 4 FUZZY HYPERGRAPHS 135 4.1
FUZZY HYPERGRAPHS 135 4.2 FUZZY TRANSVERSALS OF FUZZY HYPERGRAPHS 141
PROPERTIES OF TR(H) 153 CONSTRUCTION OF H S 158 4.3 COLORING OF FUZZY
HYPERGRAPHS 170 /3-DEGREE COLORING PROCEDURES 179 CHROMATIC VALUES OF
FUZZY COLORINGS 194 4.4 INTERSECTING FUZZY HYPERGRAPHS 199
CHARACTERIZATION OF STRONGLY INTERSECTING HYPERGRAPHS . . . 205 SIMPLY
ORDERED INTERSECTING HYPERGRAPHS 207 *^-DOMINANT TRANSVERSALS 212 4.5
HEBBIAN STRUCTURES . 217 4.6 ADDITIONAL APPLICATIONS 221 CONTENTS XIII
4.7 REFERENCES 229 LIST OF FIGURES 233 LIST OF TABLES 235 LIST OF
SYMBOLS 237 INDEX 243
|
| any_adam_object | 1 |
| author | Mordeson, John N. 1934- Nair, Premchand S. |
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| dewey-full | 511.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.5 |
| dewey-search | 511.5 |
| dewey-sort | 3511.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:38:43Z |
| institution | BVB |
| isbn | 3790812862 |
| language | English |
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| physical | XIII, 248 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Physica-Verl. |
| record_format | marc |
| series | Studies in fuzziness and soft computing |
| series2 | Studies in fuzziness and soft computing |
| spelling | Mordeson, John N. 1934- Verfasser (DE-588)121841286 aut Fuzzy graphs and fuzzy hypergraphs with 10 tables John N. Mordeson ; Premchand S. Nair Heidelberg [u.a.] Physica-Verl. 2000 XIII, 248 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Studies in fuzziness and soft computing 46 Fuzzy graphs Fuzzy hypergraphs Fuzzy-Hypergraph (DE-588)4608506-3 gnd rswk-swf Fuzzy-Graph (DE-588)4608511-7 gnd rswk-swf Fuzzy-Graph (DE-588)4608511-7 s DE-604 Fuzzy-Hypergraph (DE-588)4608506-3 s Nair, Premchand S. Verfasser aut Studies in fuzziness and soft computing 46 (DE-604)BV021858135 46 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008910363&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mordeson, John N. 1934- Nair, Premchand S. Fuzzy graphs and fuzzy hypergraphs with 10 tables Studies in fuzziness and soft computing Fuzzy graphs Fuzzy hypergraphs Fuzzy-Hypergraph (DE-588)4608506-3 gnd Fuzzy-Graph (DE-588)4608511-7 gnd |
| subject_GND | (DE-588)4608506-3 (DE-588)4608511-7 |
| title | Fuzzy graphs and fuzzy hypergraphs with 10 tables |
| title_auth | Fuzzy graphs and fuzzy hypergraphs with 10 tables |
| title_exact_search | Fuzzy graphs and fuzzy hypergraphs with 10 tables |
| title_full | Fuzzy graphs and fuzzy hypergraphs with 10 tables John N. Mordeson ; Premchand S. Nair |
| title_fullStr | Fuzzy graphs and fuzzy hypergraphs with 10 tables John N. Mordeson ; Premchand S. Nair |
| title_full_unstemmed | Fuzzy graphs and fuzzy hypergraphs with 10 tables John N. Mordeson ; Premchand S. Nair |
| title_short | Fuzzy graphs and fuzzy hypergraphs |
| title_sort | fuzzy graphs and fuzzy hypergraphs with 10 tables |
| title_sub | with 10 tables |
| topic | Fuzzy graphs Fuzzy hypergraphs Fuzzy-Hypergraph (DE-588)4608506-3 gnd Fuzzy-Graph (DE-588)4608511-7 gnd |
| topic_facet | Fuzzy graphs Fuzzy hypergraphs Fuzzy-Hypergraph Fuzzy-Graph |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008910363&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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