Similarity and compatibility in fuzzy set theory: assessment and applications
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Heidelberg [u.a.]
Physica-Verl.
2002
|
| Schriftenreihe: | Studies in fuzziness and soft computing
93 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 209 S. graph. Darst. |
| ISBN: | 379081458X |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | VALERIE V. CROSS THOMAS A. SUDKAMP SIMILARITY AND COMPATIBILITY IN FUZZY
SET THEORY ASSESSMENT AND APPLICATIONS WITH 27 FIGURES AND 46 TABLES
PHYSICA-VERLAG A SPRINGER-VERLAG COMPANY CONTENTS 1. INTRODUCTION PART
I. SIMILARITY, COMPATIBILITY, AND FUZZY SET THEORY 2. THE NATURE OF
SIMILARITY 5 2.1 DISSIMILARITY, AN OPPOSITE OF SIMILARITY? 5 2.2 IS
SIMILARITY SYMMETRIC? 6 2.3 MULTIDIMENSIONAL VS. MULTI-ATTRIBUTE 6 2.4
IS SIMILARITY RELATIVE? 7 3. HISTORIC ASSESSMENT OF COMPATIBILITY 9 3.1
TAXONOMY 9 3.2 PSYCHOLOGY 11 3.3 STATISTICAL SIMILARITY 15 4.
FOUNDATIONS OF FUZZY SET THEORY 17 4.1 REPRESENTATION AND PROPERTIES OF
FUZZY SETS 17 4.2 FUZZY SET OPERATORS 20 4.3 AGGREGATION OPERATORS 23
4.4 FUZZY SET THEORY AND INFINITE-VALUED LOGIC 25 4.5 FUZZY RELATIONS 26
4.6 MEASURING UNCERTAINTY 29 4.7 POSSIBILITY THEORY 32 5. COMPATIBILITY
IN FUZZY INFERENCE 35 5.1 COMPOSITIONAL RULE OF INFERENCE 35 5.2
COMPATIBILITY-MODIFICATION INFERENCE 36 5.3 INTERPOLATIVE AND ANALOGICAL
INFERENCE 39 6. COMPATIBILITY IN APPROXIMATE REASONING 4 5 6.1 FUZZY
EXPERT SYSTEMS 45 6.2 FUZZY LOGIC CONTROL 50 6.3 INFORMATION RETRIEVAL
51 6.4 FUZZY RELATIONAL DATABASES 56 X CONTENTS 6.4.1 NOTATION AND
HISTORY 56 6.4.2 RELATIONAL ALGEBRA EXTENSIONS 57 6.5 RANKING FUZZY
NUMBERS 61 6.6 SIMILARITY ASSESSMENT EXPERIMENTS 64 PART II. TAXONOMY OF
COMPATIBILITY MEASURES 7. SET-THEORETIC MEASURES 71 7.1 INCLUSION
INDICES 73 7.1.1 REQUIREMENTS 73 7.1.2 ORDERING OF INCLUSION INDICES 77
7.1.3 REFLEXIVITY, TRANSITIVITY, AND NESTING 79 7.2 PARTIAL MATCHING
INDICES 81 7.2.1 REQUIREMENTS 82 7.2.2 ORDERING OF PARTIAL MATCHING
INDICES 84 7.2.3 ORDERING BETWEEN I U / G AND P N / G 85 7.2.4
REFLEXIVITY, TRANSITIVITY, AND NESTING 85 7.3 SIMILARITY INDICES 87
7.3.1 SYMMETRIC DIFFERENCE 87 7.3.2 SIMILARITY MEASURE GENERATION 89
7.3.3 REFLEXIVITY, TRANSITIVITY, AND NESTING 92 7.3.4 ORDERING WITHIN
CLASSES OF SIMILARITY INDICES 93 7.3.5 ORDERING BETWEEN CLASSES OF
SIMILARITY INDICES 95 7.4 ORDERING BETWEEN SET-THEORETIC CLASSES 96 8.
PROXIMITY-BASED MEASURES 97 8.1 NOTATION AND TERMINOLOGY 97 8.2
MINKOWSKI COMPATIBILITY MEASURES 98 8.2.1 METRICS FROM SYMMETRIC
DIFFERENCE 100 8.2.2 ORDERING OF MINKOWSKI MEASURES 101 8.3 ANGULAR
COEFFICIENTS AS COMPATIBILITY 102 8.4 INTERVAL-BASED COMPATIBILITY
MEASURES 105 8.4.1 ORDERING OF INTERVAL-BASED MEASURES 113 8.4.2
RELATIVE DISTANCES 122 8.5 LINGUISTIC APPROXIMATION DISTANCE MEASURES
132 9. LOGIC-BASED MEASURES 133 9.1 FUZZY TRUTH VALUES AND COMPATIBILITY
133 9.2 SIMILARITY RELATIONS FROM CO-IMPLICATION 135 9.3 ORDERING OF
LOGIC-BASED MEASURES 136 10. FUZZY-VALUED SIMILARITY MEASURES 139
CONTENTS XI PART III. EMPIRICAL ANALYSIS OF COMPATIBILITY MEASURES 11.
GENERIC CLASSIFICATION DOMAIN 147 11.1 OVERVIEW 147 11.2 DOMAIN AND
EVIDENTIAL KNOWLEDGE REPRESENTATION 148 11.3 TESTING METHODOLOGY 150 12.
SET-THEORETIC COMPARATIVE STUDY 153 12.1 T 3 AGGREGATOR 153 12.2 TI
AGGREGATOR 159 12.3 T 2 AGGREGATOR 162 12.4 MODIFIED MEAN AGGREGATOR 164
12.5 SUMMARY OF SET-THEORETIC AGGREGATOR STUDY 165 13. PROXIMITY-BASED
COMPARATIVE STUDY 167 13.1 T 3 AGGREGATOR 168 13.2 GI, M AGGREGATOR 170
13.3 T 2 AGGREGATOR 173 14. LOGIC-BASED COMPARATIVE STUDY 17 7 14.1 T 3
AGGREGATOR 177 14.2 G HM AGGREGATOR 179 14.3 T 2 AGGREGATOR 180 15.
COMPARISON AMONG THE THREE CLASSES 183 15.1 CORRELATED DOMAIN KNOWLEDGE
185 INDEX OF NOTATION 189 REFERENCES 193 INDEX 207
|
| any_adam_object | 1 |
| author | Cross, Valerie 1954- Sudkamp, Thomas A. |
| author_GND | (DE-588)123409586 |
| author_facet | Cross, Valerie 1954- Sudkamp, Thomas A. |
| author_role | aut aut |
| author_sort | Cross, Valerie 1954- |
| author_variant | v c vc t a s ta tas |
| building | Verbundindex |
| bvnumber | BV023833762 |
| classification_rvk | ST 130 |
| ctrlnum | (OCoLC)248784651 (DE-599)BVBBV023833762 |
| dewey-full | 511.322 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.322 |
| dewey-search | 511.322 |
| dewey-sort | 3511.322 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV023833762 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:37:40Z |
| institution | BVB |
| isbn | 379081458X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017475906 |
| oclc_num | 248784651 |
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| owner | DE-634 DE-384 |
| owner_facet | DE-634 DE-384 |
| physical | XI, 209 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Physica-Verl. |
| record_format | marc |
| series | Studies in fuzziness and soft computing |
| series2 | Studies in fuzziness and soft computing |
| spelling | Cross, Valerie 1954- Verfasser (DE-588)123409586 aut Similarity and compatibility in fuzzy set theory assessment and applications Valerie V. Cross ; Thomas A. Sudkamp Heidelberg [u.a.] Physica-Verl. 2002 XI, 209 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Studies in fuzziness and soft computing 93 Fuzzy-Logik (DE-588)4341284-1 gnd rswk-swf Fuzzy-Logik (DE-588)4341284-1 s DE-604 Sudkamp, Thomas A. Verfasser aut Studies in fuzziness and soft computing 93 (DE-604)BV021858135 93 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017475906&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cross, Valerie 1954- Sudkamp, Thomas A. Similarity and compatibility in fuzzy set theory assessment and applications Studies in fuzziness and soft computing Fuzzy-Logik (DE-588)4341284-1 gnd |
| subject_GND | (DE-588)4341284-1 |
| title | Similarity and compatibility in fuzzy set theory assessment and applications |
| title_auth | Similarity and compatibility in fuzzy set theory assessment and applications |
| title_exact_search | Similarity and compatibility in fuzzy set theory assessment and applications |
| title_full | Similarity and compatibility in fuzzy set theory assessment and applications Valerie V. Cross ; Thomas A. Sudkamp |
| title_fullStr | Similarity and compatibility in fuzzy set theory assessment and applications Valerie V. Cross ; Thomas A. Sudkamp |
| title_full_unstemmed | Similarity and compatibility in fuzzy set theory assessment and applications Valerie V. Cross ; Thomas A. Sudkamp |
| title_short | Similarity and compatibility in fuzzy set theory |
| title_sort | similarity and compatibility in fuzzy set theory assessment and applications |
| title_sub | assessment and applications |
| topic | Fuzzy-Logik (DE-588)4341284-1 gnd |
| topic_facet | Fuzzy-Logik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017475906&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021858135 |
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