Uncertain multi-attribute decision making: methods and applications
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Heidelberg [u.a.]
Springer
2015
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XIV, 373 S. |
| ISBN: | 9783662456392 3662456397 |
Staff View
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Record in the Search Index
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| adam_text |
CONTENTS
PART I REAL-VALUED MADM METHODS AND THEIR APPLICATIONS
1 REAL-VALUED MADM WITH WEIGHT INFORMATION UNKNOWN 3
1.1 MADM METHOD BASED ON OWA OPERATOR 3
1.1.1 OWA OPERATOR 3
1.1.2 DECISION MAKING METHOD 9
1.1.3 PRACTICAL EXAMPLE 11
1.2 MAGDM METHOD BASED ON OWA AND CWA OPERATORS 13
1.2.1 CWA OPERATOR 13
1.2.2 DECISION MAKING METHOD 14
1.2.3 PRACTICAL EXAMPLE 16
1.3 MADM METHOD BASED ON THE OWG OPERATOR 18
1.3.1 OWG OPERATOR 18
1.3.2 DECISION MAKING METHOD 19
1.3.3 PRACTICAL EXAMPLE 19
1.4 MADM METHOD BASED ON OWG OPERATOR 21
1.4.1 CWG OPERATOR 21
1.4.2 DECISION MAKING METHOD 23
1.4.3 PRACTICAL EXAMPLE 24
1.5 MADM METHOD BASED ON MAXIMIZING DEVIATIONS 26
1.5.1 DECISION MAKING METHOD 26
1.5.2 PRACTICAL EXAMPLE 29
1.6 MADM METHOD BASED ON INFORMATION ENTROPY 30
1.6.1 DECISION MAKING METHOD 30
1.6.2 PRACTICAL EXAMPLE 31
1.7 MADM METHOD WITH PREFERENCE INFORMATION ON ALTERNATIVES 32
1.7.1 PRELIMINARIES 33
1.7.2 DECISION MAKING METHOD 35
1.8 CONSENSUS MAXIMIZATION MODEL FOR DETERMINING ATTRIBUTE
WEIGHTS IN MAGDM [135] 45
1.8.1 CONSENSUS MAXIMIZATION MODEL 45
1.8.2 PRACTICAL EXAMPLE 48
IX
HTTP://D-NB.INFO/1059935481
X CONTENTS
2 MADM WITH PREFERENCES ON ATTRIBUTE WEIGHTS 51
2.1 PRIORITY METHODS FOR A FUZZY PREFERENCE RELATION 51
2.1.1 TRANSLATION METHOD FOR PRIORITY OF A FUZZY PREFERENCE
RELATION : 51
2.1.2 LEAST VARIATION METHOD FOR PRIORITY OF A FUZZY PREFERENCE
RELATION 55
2.1.3 LEAST DEVIATION METHOD FOR
PRIORITY OF A FUZZY PREFERENCE
RELATION 57
2.1.4 EIGENVECTOR METHOD FOR PRIORITY OF A FUZZY PREFERENCE
RELATION 66
2.1.5 CONSISTENCY IMPROVING ALGORITHM FOR A FUZZY PREFERENCE
RELATION 68
2.1.6 EXAMPLE ANALYSIS 75
2.2 INCOMPLETE FUZZY PREFERENCE RELATION 77
2.3 LINEAR GOAL PROGRAMMING METHOD FOR PRIORITY OF A HYBRID
PREFERENCE RELATION 86
2.4 MAGDM METHOD BASED ON WA AND CWA OPERATORS 89
2.5 PRACTICAL EXAMPLE 90
2.6 MAGDM METHOD BASED ON WG AND CWG OPERATORS 94
2.7 PRACTICAL EXAMPLE 95
3 MADM WITH PARTIAL WEIGHT INFORMATION 99
3.1 MADM METHOD BASED ON IDEAL POINT 99
3.1.1 DECISION MAKING METHOD 99
3.1.2 PRACTICAL EXAMPLE 102
3.2 MADM METHOD BASED ON SATISFACTION DEGREES OF ALTERNATIVES 104
3.2.1 DECISION MAKING METHOD ,104
3.2.2 PRACTICAL EXAMPLE 105
3.3 MADM METHOD BASED ON MAXIMIZING VARIATION MODEL 108
3.3.1 DECISION MAKING METHOD 108
3.3.2 PRACTICAL EXAMPLE 109
3.4 TWO-STAGE-MADM METHOD BASED ON PARTIAL WEIGHT INFORMATION. ILL
3.4.1 DECISION MAKING METHOD ILL
3.4.2 PRACTICAL EXAMPLE 113
3.5 MADM METHOD BASED ON LINEAR GOAL PROGRAMMING MODELS 116
3.5.1 MODELS 117
3.5.2 DECISION MAKING METHOD 121
3.5.3 PRACTICAL EXAMPLE 121
3.6 INTERACTIVE MADM METHOD BASED ON REDUCTION STRATEGY
FOR ALTERNATIVES 123
3.6.1 DECISION MAKING METHOD 123
3.6.2 PRACTICAL EXAMPLE 125
CONTENTS XI
3.7 INTERACTIVE MADM METHOD BASED ON ACHIEVEMENT DEGREES
AND COMPLEX DEGREES OF ALTERNATIVES 128
3.7.1 DEFINITIONS AND THEOREMS 128
3.7.2 DECISION MAKING METHOD 131
3.7.3 PRACTICAL EXAMPLE 132
PART II INTERVAL MADM METHODS AND THEIR APPLICATIONS
4 INTERVAL MADM WITH REAL-VALUED WEIGHT INFORMATION 137
4.1 MADM METHOD BASED ON POSSIBILITY DEGREES 137
4.1.1 POSSIBILITY DEGREE FORMULAS FOR COMPARING INTERVAL
NUMBERS 137
4.1.2 RANKING OF INTERVAL NUMBERS 140
4.1.3 DECISION MAKING METHOD 141
4.1.4 PRACTICAL EXAMPLE 143
4.2 MADM METHOD BASED ON PROJECTION MODEL 145
4.2.1 DECISION MAKING METHOD 145
4.2.2 PRACTICAL EXAMPLE 146
4.3 MADM METHOD BASED ON INTERVAL TOPSIS 148
4.3.1 DECISION MAKING METHOD 148
4.3.2 PRACTICAL EXAMPLE 149
4.4 MADM METHODS BASED ON UBM OPERATORS 151
4.4.1 THE UBM OPERATORS AND THEIR APPLICATION IN MADM 152
4.4.2 UBM OPERATORS COMBINED WITH OWA OPERATOR
AND CHOQUET INTEGRAL AND THEIR APPLICATION IN MADM 163
4.5 MINIMIZING GROUP DISCORDANCE OPTIMIZATION MODELS FOR
DERIVING EXPERT WEIGHTS 168
4.5.1 DECISION MAKING METHOD 168
4.5.2 PRACTICAL EXAMPLE 171
5 INTERVAL MADM WITH UNKNOWN WEIGHT INFORMATION 177
5.1 MADM METHOD WITHOUT PREFERENCES ON ALTERNATIVES 177
5.1.1 FORMULAS AND CONCEPTS 177
5.1.2 DECISION MAKING METHOD 178
5.1.3 PRACTICAL EXAMPLE 180
5.2 MADM METHOD WITH PREFERENCES ON ALTERNATIVES 182
5.2.1 DECISION MAKING METHOD 182
5.2.2 PRACTICAL EXAMPLE 184
5.3 UOWA OPERATOR 187
5.4 MADM METHOD BASED ON UOWA OPERATOR 191
5.4.1 MADM METHOD WITHOUT PREFERENCES ON ALTERNATIVES 191
5.4.2 PRACTICAL EXAMPLE 192
XII
CONTENTS
5.4.3 MADM METHOD WITH PREFERENCE INFORMATION
ON ALTERNATIVES 195
5.4.4 PRACTICAL EXAMPLE 196
5.5 CONSENSUS MAXIMIZATION MODEL FOR DETERMINING ATTRIBUTE
WEIGHTS IN UNCERTAIN MAGDM [135] 199
5.5.1 CONSENSUS MAXIMIZATION MODEL UNDER UNCERTAINTY 199
5.5.2 PRACTICAL EXAMPLE 203
6 INTERVAL MADM WITH PARTIAL WEIGHT INFORMATION 207
6.1 MADM BASED ON SINGLE-OBJECTIVE OPTIMIZATION MODEL 207
6.1.1 MODEL 207
6.1.2 PRACTICAL EXAMPLE 210
6.2 MADM METHOD BASED ON DEVIATION DEGREE AND POSSIBILITY
DEGREE 214
6.2.1 ALGORITHM 214
6.2.2 PRACTICAL EXAMPLE 215
6.3 GOAL PROGRAMMING METHOD FOR INTERVAL MADM 218
6.3.1 DECISION MAKING METHOD 218
6.3.2 PRACTICAL EXAMPLE 219
6.4 MINIMIZING DEVIATIONS BASED METHOD FOR MADM WITH
PREFERENCES ON ALTERNATIVES 221
6.4.1 DECISION MAKING METHOD 221
6.4.2 PRACTICAL EXAMPLE 222
6.5 INTERVAL MADM METHOD BASED ON PROJECTION MODEL 225
6.5.1 MODEL AND METHOD 225
6.5.2 PRACTICAL EXAMPLE 228
6.6 INTERACTIVE INTERVAL MADM METHOD BASED ON OPTIMIZATION LEVEL. 231
6.6.1 DECISION MAKING METHOD 231
6.6.2 PRACTICAL EXAMPLE 233
PART
III
LINGUISTIC MADM METHODS AND THEIR APPLICATIONS
7 LINGUISTIC MADM WITH UNKNOWN WEIGHT INFORMATION 237
7.1 MADM METHOD BASED ON GIOWA OPERATOR 237
7.1.1 GIOWA OPERATOR 237
7.1.2 DECISION MAKING METHOD 240
7.1.3 PRACTICAL EXAMPLE 242
7.2 MADM METHOD BASED ON LOWA OPERATOR 245
7.2.1 DECISION MAKING METHOD 245
7.2.2 PRACTICAL EXAMPLE 247
7.3 MADM METHOD BASED ON EOWA OPERATOR 249
7.3.1 EOWA OPERATOR 249
7.3.2 DECISION MAKING METHOD 254
7.3.3 PRACTICAL EXAMPLE 254
7.4 MADM METHOD BASED ON EOWA AND LHA OPERATORS 255
CONTENTS XIII
7.4.1 EWA OPERATOR 255
7.4.2 LHA OPERATOR 257
7.4.3 DECISION MAKING METHOD 259
7.4.4 PRACTICAL EXAMPLE 259
8 LINGUISTIC M A
1)\1 METHOD WITH REAL-VALUED OR UNKNOWN
WEIGHT INFORMATION 263
8.1 MADM METHOD BASED ON EWA OPERATOR 263
8.1.1 DECISION MAKING METHOD 263
8.1.2 PRACTICAL EXAMPLE 264
8.2 MAGDM METHOD BASED ON EWA AND LHA OPERATORS 265
8.2.1 DECISION MAKING METHOD 265
8.2.2 PRACTICAL EXAMPLE 266
8.3 MAGDM WITH MULTIGRANULAR LINGUISTIC LABELS [164] 269
8.3.1 TRANSFORMATION RELATIONSHIPS AMONG TRMLLS 269
8.3.2 DECISION MAKING METHOD 278
8.3.3 PRACTICAL EXAMPLE 285
8.4 MADM WITH TWO-DIMENSION LINGUISTIC AGGREGATION
TECHNIQUES [165] 287
8.4.1 TWO-DIMENSION LINGUISTIC LABELS 287
8.4.2 MADM WITH 2DLWA OPERATOR 293
8.4.3 MADM WITH 2DLOWA OPERATOR 299
8.4.4 PRACTICAL EXAMPLE 301
9 MADM METHOD BASED ON PURE LINGUISTIC INFORMATION 307
9.1 MADM METHOD BASED ON LWM OPERATOR 307
9.1.1 LWM OPERATOR 307
9.1.2 DECISION MAKING METHOD 309
9.2 PRACTICAL EXAMPLE 310
9.3 MAGDM METHOD BASED ON LWM AND HLWA OPERATORS 311
9.3.1 HLWA OPERATOR 311
9.3.2 DECISION MAKING METHOD 316
9.4 PRACTICAL EXAMPLE 317
PART IV UNCERTAIN LINGUISTIC MADM METHODS AND THEIR APPLICATIONS
10 UNCERTAIN LINGUISTIC MADM WITH UNKNOWN WEIGHT INFORMATION 323
10.1 MADM METHOD BASED ON UEOWA OPERATOR 323
10.1.1 UEOWA OPERATOR 323
10.1.2 DECISION MAKING METHOD 326
10.1.3 PRACTICAL EXAMPLE 327
10.2 MAGDM METHOD BASED ON UEOWA AND ULHA OPERATORS 330
10.2.1 UEWA OPERATOR 330
10.2.2 ULHA OPERATOR 331
10.2.3 DECISION MAKING METHOD 333
10.2.4 PRACTICAL EXAMPLE 334
XIV CONTENTS
11 UNCERTAIN LINGUISTIC MADM METHOD WITH REAL-VALUED
WEIGHT INFORMATION 339
11.1 MADM METHOD BASED ON POSITIVE IDEAL POINT 339
11.1.1 DECISION MAKING METHOD 339
11.1.2 PRACTICAL EXAMPLE 340
11.2 MAGDM METHOD BASED ON IDEAL POINT AND LHA OPERATOR 343
11.2.1 DECISION MAKING METHOD 343
11.2.2 PRACTICAL EXAMPLE 344
11.3 MADM METHOD BASED ON UEWA OPERATOR 348
11.3.1 DECISION MAKING METHOD 348
11.3.2 PRACTICAL EXAMPLE 349
11.4 MAGDM METHOD BASED ON UEWA AND ULHA OPERATORS 351
11.4.1 DECISION MAKING METHOD 351
11.4.2 PRACTICAL EXAMPLE 352
12 UNCERTAIN LINGUISTIC MADM METHOD WITH INTERVAL WEIGHT
INFORMATION 357
12.1 MADM METHOD BASED ON LA OPERATOR 357
12.1.1 DECISION MAKING METHOD 357
12.1.2 PRACTICAL EXAMPLE 358
12.2 MAGDM METHOD BASED ON LA AND ULHA OPERATORS 361
12.2.1 DECISION MAKING METHOD 361
12.2.2 PRACTICAL EXAMPLE 362
REFERENCES 367 |
| any_adam_object | 1 |
| author | Xu, Zeshui |
| author_GND | (DE-588)136576664 |
| author_facet | Xu, Zeshui |
| author_role | aut |
| author_sort | Xu, Zeshui |
| author_variant | z x zx |
| building | Verbundindex |
| bvnumber | BV042756022 |
| ctrlnum | (OCoLC)894135153 (DE-599)DNB1059935481 |
| dewey-full | 658.4033 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 658 - General management |
| dewey-raw | 658.4033 |
| dewey-search | 658.4033 |
| dewey-sort | 3658.4033 |
| dewey-tens | 650 - Management and auxiliary services |
| discipline | Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV042756022 |
| illustrated | Not Illustrated |
| indexdate | 2024-09-10T01:50:40Z |
| institution | BVB |
| isbn | 9783662456392 3662456397 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028186666 |
| oclc_num | 894135153 |
| open_access_boolean | |
| owner | DE-188 |
| owner_facet | DE-188 |
| physical | XIV, 373 S. |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Springer |
| record_format | marc |
| spelling | Xu, Zeshui Verfasser (DE-588)136576664 aut Uncertain multi-attribute decision making methods and applications Zeshui Xu Heidelberg [u.a.] Springer 2015 XIV, 373 S. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Entscheidungsfindung (DE-588)4113446-1 gnd rswk-swf Multiattributive Entscheidung (DE-588)4126081-8 gnd rswk-swf Wirtschaftsmathematik (DE-588)4066472-7 gnd rswk-swf Entscheidung bei mehrfacher Zielsetzung (DE-588)4113444-8 gnd rswk-swf Wirtschaftswissenschaften (DE-588)4066528-8 gnd rswk-swf Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd rswk-swf Research Multi-attribute decision making Aggregation operators Linguistic labels Uncertain linguistic variables Preference relations Interval numbers Multikriterielle Entscheidungsanalyse Entscheidung unter Unsicherheit Multiattributive Entscheidung (DE-588)4126081-8 s Entscheidung bei Unsicherheit (DE-588)4070864-0 s Entscheidungsfindung (DE-588)4113446-1 s DE-604 Wirtschaftswissenschaften (DE-588)4066528-8 s Wirtschaftsmathematik (DE-588)4066472-7 s Entscheidung bei mehrfacher Zielsetzung (DE-588)4113444-8 s 1\p DE-604 Erscheint auch als Online-Ausgabe Xu, Zeshui Uncertain Multi-Attribute Decision Making X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4808823&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=028186666&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 |
| spellingShingle | Xu, Zeshui Uncertain multi-attribute decision making methods and applications Entscheidungsfindung (DE-588)4113446-1 gnd Multiattributive Entscheidung (DE-588)4126081-8 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd Entscheidung bei mehrfacher Zielsetzung (DE-588)4113444-8 gnd Wirtschaftswissenschaften (DE-588)4066528-8 gnd Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd |
| subject_GND | (DE-588)4113446-1 (DE-588)4126081-8 (DE-588)4066472-7 (DE-588)4113444-8 (DE-588)4066528-8 (DE-588)4070864-0 |
| title | Uncertain multi-attribute decision making methods and applications |
| title_auth | Uncertain multi-attribute decision making methods and applications |
| title_exact_search | Uncertain multi-attribute decision making methods and applications |
| title_full | Uncertain multi-attribute decision making methods and applications Zeshui Xu |
| title_fullStr | Uncertain multi-attribute decision making methods and applications Zeshui Xu |
| title_full_unstemmed | Uncertain multi-attribute decision making methods and applications Zeshui Xu |
| title_short | Uncertain multi-attribute decision making |
| title_sort | uncertain multi attribute decision making methods and applications |
| title_sub | methods and applications |
| topic | Entscheidungsfindung (DE-588)4113446-1 gnd Multiattributive Entscheidung (DE-588)4126081-8 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd Entscheidung bei mehrfacher Zielsetzung (DE-588)4113444-8 gnd Wirtschaftswissenschaften (DE-588)4066528-8 gnd Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd |
| topic_facet | Entscheidungsfindung Multiattributive Entscheidung Wirtschaftsmathematik Entscheidung bei mehrfacher Zielsetzung Wirtschaftswissenschaften Entscheidung bei Unsicherheit |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4808823&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=028186666&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT xuzeshui uncertainmultiattributedecisionmakingmethodsandapplications |