Uncertain data envelopment analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Heidelberg [u.a.]
Springer
2015
|
| Series: | Uncertainty and operations research
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XI, 149 S. 235 mm x 155 mm |
| ISBN: | 9783662438015 3662438011 |
Staff View
MARC
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Record in the Search Index
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CONTENTS
1 UNCERTAIN THEORIES 1
1.1 PROBABILITY THEORY 1
1.1.1 PROBABILITY MEASURE 1
1.1.2 RANDOM VARIABLE 2
1.1.3 OPERATIONAL LAW 4
1.1.4 EXPECTED VALUE 6
1.2 CREDIBILITY THEORY 11
1.2.1 CREDIBILITY MEASURE 11
1.2.2 FUZZY VARIABLE 17
1.2.3 EXPECTED VALUE 22
1.3 UNCERTAINTY THEORY 23
1.3.1 UNCERTAIN MEASURE 24
1.3.2 UNCERTAIN VARIABLE 24
1.3.3 OPERATIONAL LAW 27
1.3.4 EXPECTED VALUE 31
1.4 CHANCE THEORY 35
1.4.1 UNCERTAIN RANDOM VARIABLE 35
1.4.2 UNCERTAIN RANDOM MEASURE 36
1.4.3 OPERATIONAL LAW 38
1.4.4 EXPECTED VALUE 40
REFERENCES 44
2 INTRODUCTION TO DEA 45
2.1 SYMBOLS AND NOTATIONS 46
2.2 CCR MODEL 46
2.3 BCC MODEL 50
2.4 ADDITIVE MODEL 53
2.5 SBM MODEL 56
2.6 RUSSELL MEASURE MODEL 57
REFERENCES 58
IX
HTTP://D-NB.INFO/1051191955
X CONTENTS
3 STOCHASTIC DEA 61
3.1 SYMBOLS AND NOTATIONS 62
3.2 STOCHASTIC DEA MODELS 62
3.2.1 MARGINAL CHANCE-CONSTRAINED MODELS 66
3.2.2 SATISFYING DEA MODELS 72
3.3 STOCHASTIC DEA RANKING CRITERIA 76
3.3.1 EXPECTED RANKING CRITERION 76
3.3.2 OPTIMISTIC RANKING CRITERION 77
3.3.3 MAXIMAL CHANCE RANKING CRITERION 78
3.3.4 HURWICZ RANKING CRITERION 78
REFERENCES 80
4 FUZZY DEA 83
4.1 SYMBOLS AND NOTATIONS 83
4.2 FUZZY DEA MODELS 84
4.3 SENSITIVITY AND STABILITY 88
4.4 FUZZY DEA RANKING CRITERIA 94
4.4.1 EXPECTED RANKING CRITERION 94
4.4.2 OPTIMISTIC RANKING CRITERION 95
4.4.3 MAXIMAL CHANCE RANKING CRITERION 99
4.4.4 HURWICZ RANKING CRITERION 100
4.4.5 NUMERICAL EXAMPLES 104
4.5 FUZZY CONGESTION 106
4.5.1 CONGESTION IN DEA 106
4.5.2 FUZZY CONGESTION 108
4.5.3 A NUMERICAL EXAMPLE 110
4.6 HYBRID INTELLIGENT ALGORITHM ILL
4.6.1 FUZZY SIMULATIONS ILL
4.6.2 GENETIC ALGORITHM 112
4.6.3 HYBRID INTELLIGENT ALGORITHM 114
REFERENCES 114
5 UNCERTAIN DEA 117
5.1 SYMBOLS AND NOTATIONS 117
5.2 UNCERTAIN DEA MODELS 118
5.3 SENSITIVITY AND STABILITY 122
5.4 UNCERTAIN DEA RANKING CRITERIA 128
5.4.1 EXPECTED RANKING CRITERION 128
5.4.2 OPTIMISTIC RANKING CRITERION 130
5.4.3 MAXIMAL CHANCE RANKING CRITERION 131
5.4.4 HURWICZ RANKING CRITERION 132
5.5 UNCERTAIN CONGESTION 135
REFERENCES 136
CONTENTS XI
6 HYBRID DEA 139
6.1 SYMBOLS AND NOTATIONS 139
6.2 HYBRID DEA MODELS 140
6.3 HYBRID DEA RANKING CRITERIA 142
6.3.1 EXPECTED RANKING CRITERION 142
6.3.2 OPTIMISTIC RANKING CRITERION 143
6.3.3 MAXIMAL CHANCE RANKING CRITERION 144
6.3.4 HURWICZ RANKING CRITERION 145
6.4 HYBRID CONGESTION 146
REFERENCES 146
LIST OF FREQUENTLY USED SYMBOLS 149 |
| any_adam_object | 1 |
| author | Wen, Meilin |
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| ctrlnum | (OCoLC)880712414 (DE-599)DNB1051191955 |
| dewey-full | 519.53 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.53 |
| dewey-search | 519.53 |
| dewey-sort | 3519.53 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| institution | BVB |
| isbn | 9783662438015 3662438011 |
| language | English |
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| physical | XI, 149 S. 235 mm x 155 mm |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Springer |
| record_format | marc |
| series2 | Uncertainty and operations research |
| spelling | Wen, Meilin Verfasser (DE-588)136575676 aut Uncertain data envelopment analysis Meilin Wen Heidelberg [u.a.] Springer 2015 XI, 149 S. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Uncertainty and operations research Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd rswk-swf Data Envelopment Analysis (DE-588)4573838-5 gnd rswk-swf Data Envelopment Analysis (DE-588)4573838-5 s Entscheidung bei Unsicherheit (DE-588)4070864-0 s DE-604 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4671521&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=027529783&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wen, Meilin Uncertain data envelopment analysis Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd Data Envelopment Analysis (DE-588)4573838-5 gnd |
| subject_GND | (DE-588)4070864-0 (DE-588)4573838-5 |
| title | Uncertain data envelopment analysis |
| title_auth | Uncertain data envelopment analysis |
| title_exact_search | Uncertain data envelopment analysis |
| title_full | Uncertain data envelopment analysis Meilin Wen |
| title_fullStr | Uncertain data envelopment analysis Meilin Wen |
| title_full_unstemmed | Uncertain data envelopment analysis Meilin Wen |
| title_short | Uncertain data envelopment analysis |
| title_sort | uncertain data envelopment analysis |
| topic | Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd Data Envelopment Analysis (DE-588)4573838-5 gnd |
| topic_facet | Entscheidung bei Unsicherheit Data Envelopment Analysis |
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