Ordinal information and preference structures: decision models and applications
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| Main Author: | |
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| Format: | Book |
| Language: | Undetermined |
| Published: |
Englewood Cliffs, NJ
Prentice Hall
1992
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 292 S. graph. Darst. |
| ISBN: | 0136301207 |
Staff View
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| 245 | 1 | 0 | |a Ordinal information and preference structures |b decision models and applications |c Wade D. Cook ; Moshe Kress |
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| 300 | |a XII, 292 S. |b graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804144541763108864 |
|---|---|
| adam_text | Contents v
2.3 Definitions and Terminology 14
2.4 The Ranking Problem 16
2.5 Contents of Chapters in Part I 17
3 MAXIMUM LIKELIHOOD METHODS 19
3.1 The Maximum likelihood Concept 19
3.2 Weak Stochastic Rankings 21
3.3 Weak Stochastic Ranking and Information
Theory 23
3.4 Strong Stochastic Rankings 25
3.5 Maximum Likelihood Estimates as Functions
of Rank Difference 28
3.6 A Solution Procedure for Determining a MLWS
Ranking 30
3.7 Summary and Conclusions 34
Appendix: Proofs 35
4 MINIMUM VIOLATIONS RANKINO AND DISTANCE
MEASUREMENT 37
4.1 Terminology and Theory 37
4.2 Alternative Model Formulations 42
4.3 Solution Methods for Determining a Minimum
Violations Ranking 46
4.4 Summary and Conclusions 53
Appendix: Proofs 53
5 RATINO METHODS 57
5.1 Introduction 57
5.2 Ranking by Direct Scores 58
5.3 Properties of Kendall Scores and Related
Topics 62
5.4 Ranking by Indirect Scores 68
5.5 The mth-Generation Approach 75
5.6 Intrinsic Worth Models 85
vl Contents
5.7 Summary and Conclusions 89
Appendix: Proofs 90
6 EXTENSIONS AND COMPARATIVE ANALYSES OF
RANKING METHODS 92
6.1 Introduction 92
6 5f Ranking a Weak Preference Structure: Direct
Methods 93
^0.3 Ranking a Weak Preference Structure: Rating
Methods 107
.6^4 Incomplete Preference Structures 114
6.5 ^ Comparison of Methods 122
Appendix: Proofs 124
Part II Aggregation of Ordinal Preference Structures 127
7 INTRODUCTION TO PART II 129
7.1 Introduction 129
7.2 Alternative Preference Representations 130
7.3 Aggregation Methods and Chapter
Outlines 132
8 CONSENSUS METHODS IN PREFERENTIAL VOTING 133
8.1 Nonelimination Methods of Consensus 134
8.2 Elimination Methods 136
8.3 Some Comparisons 141
8.4 A Data Envelopment Model for Aggregating
Preferential Votes 147
8.5 Summary Remarks 157
Appendix: Proofs 157
9 DISTANCE-BASED CONSENSUS METHODS 162
9.1 Introduction 162
9.2 Kemeny and Snell s Consensus Method 163
Contents vll
9.3 Consensus Based on Minimal
Disagreement 170
^4 Cook and Seiford s Consensus Model 178
9.5 Other Distance Models for Consensus 182
9.6 Relationships among I1 Metrics 188
9.7 Some Comparisons 193
9.8 Partially Ordered (Incomplete) Preferences 193
9.9 Summary and Conclusions 195
Appendix: Proofs 196
Part III Multiple-criteria Models 199
10 INTRODUCTION TO PART III 201
10.1 Introduction 201
] . ! Ratio-scale Methods 202
nk$ Pure Ordinal Models 202
11 RATIO-SCALE MATRICES 204
11.1 Introduction 204
11.2 Inconsistencies 207
11.3 Eigenvectors of Ratio-scale Matrices 209
11.4 Extremal Methods 216
11.5 Summary and Conclusions 223
Appendix: Proofs 226
12 ORDINAL DATA WITH MULTIPLE CRITERIA: PURE
ORDINAL MODELS 228
12.1 Introduction 228
12.2 Lexicographic Method 229
12*3 Global Outranking 233
pt4 A Data Envelopment Model 236
12.5 Summary and Conclusions 245
Appendix: Proofs 246
vlll Contents
Part IV Applications 247
13 APPLICATIONS 249
13.1 Prioritlzatlon of Transportation Projects 249
£ Z R D Project Selection in Defense 254
13.3 Investment Planning 259
13.4 Resource Allocation 261
13.5 Ranking of Candidates by Military Promotions
Boards 266
13.6 The Technology Diffusion Process: Identifying
Causality Flow in Organizations 268
13.7 Tenure and Promotions Decisions 272
13.8 Modeling Consumer Perceptions 275
13.9 Evaluation of Alternative Plans and
Policies 276
REFERENCES 279
INDEX 289
|
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| id | DE-604.BV026105488 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T23:05:12Z |
| institution | BVB |
| isbn | 0136301207 |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-021698106 |
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| owner_facet | DE-188 |
| physical | XII, 292 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Prentice Hall |
| record_format | marc |
| spelling | Cook, Wade D. Verfasser aut Ordinal information and preference structures decision models and applications Wade D. Cook ; Moshe Kress Englewood Cliffs, NJ Prentice Hall 1992 XII, 292 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Präferenzfunktion (DE-588)4277606-5 gnd rswk-swf Ordinale Datenanalyse (DE-588)4122304-4 gnd rswk-swf Präferenzfunktion (DE-588)4277606-5 s Ordinale Datenanalyse (DE-588)4122304-4 s DE-188 Kress, Moshe Sonstige oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021698106&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cook, Wade D. Ordinal information and preference structures decision models and applications Präferenzfunktion (DE-588)4277606-5 gnd Ordinale Datenanalyse (DE-588)4122304-4 gnd |
| subject_GND | (DE-588)4277606-5 (DE-588)4122304-4 |
| title | Ordinal information and preference structures decision models and applications |
| title_auth | Ordinal information and preference structures decision models and applications |
| title_exact_search | Ordinal information and preference structures decision models and applications |
| title_full | Ordinal information and preference structures decision models and applications Wade D. Cook ; Moshe Kress |
| title_fullStr | Ordinal information and preference structures decision models and applications Wade D. Cook ; Moshe Kress |
| title_full_unstemmed | Ordinal information and preference structures decision models and applications Wade D. Cook ; Moshe Kress |
| title_short | Ordinal information and preference structures |
| title_sort | ordinal information and preference structures decision models and applications |
| title_sub | decision models and applications |
| topic | Präferenzfunktion (DE-588)4277606-5 gnd Ordinale Datenanalyse (DE-588)4122304-4 gnd |
| topic_facet | Präferenzfunktion Ordinale Datenanalyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021698106&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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