Fuzzy and multiobjective games for conflict resolution: with 30 tables
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Heidelberg ; New York
Physica-Verl.
2001
|
| Schriftenreihe: | Studies in fuzziness and soft computing
64 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 258 S. graph. Darst. |
| ISBN: | 3790813605 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804128324084039680 |
|---|---|
| adam_text | Ichiro Nishizaki
Masatoshi Sakawa
Fuzzy
and Multiobjective Games
for Conflict Resolution
With 25 Figures
and 30 Tables
Physica-Verlag
A Springer-Verlag Company
Contents
1 Introduction 1
1 1 Introduction and historical remarks 1
1 2 Outline of the book 6
2 Fundamentals of two-person noncooperative games and n-
person cooperative games 11
2 1 Introduction 11
2 2 Two-person noncooperative games 12
221 Zero-sum games 12
222 Non-zero-sum games 15
2 3 n-person cooperative games 21
231 Preliminaries 21
232 The core 22
233 The nucleolus and its related solutions 26
3 Multiobjective fuzzy two-person zero-sum games 33
3 1 Introduction 33
3 2 Multiobjective two-person zero-sum games with fuzzy goals 35
321 Problem formulation and solution concept 35
322 Computational methods 37
3 3 Multiobjective two-person zero-sum games with fuzzy payoffs
and fuzzy goals 52
331 Problem formulation and solution concepts 52
332 Computational methods 56
3 4 Conclusions 71
4 Multiobjective fuzzy two-person non-zero-sum games 75
4 1 Introduction 75
4 2 Multiobjective two-person non-zero-sum games with fuzzy goals 77
XII Contents
421 Problem formulation and solution concepts 77
422 Computational methods 79
423 Related properties for Pareto equilibrium solutions 95
4 3 Multiobjective two-person non-zero-sum games with fuzzy
payoffs and fuzzy goals 99
431 Problem formulation and solution concepts 99
432 Mathematical programming problems and the equilib-
rium solutions 103
4 4 Conclusions 118
5 Fuzzy n-person cooperative games 121
5 1 Introduction 121
5 2 The least core and the nucleolus in games with fuzzy
coalitions 126
521 Preliminaries and the least core in games with fuzzy
coalitions 126
522 The nucleolus in n-person cooperative games with
fuzzy coalitions 134
5 3 Lexicographical solutions in games with fuzzy coalitions 137
531 Solution concepts and definitions 137
532 Computational method and extension of games 139
5 4 n-Person cooperative games with fuzzy goals 150
541 Fuzzy goals and solution concepts 150
542 Computational methods 156
5 5 n-Person cooperative games with fuzzy coalition values 162
5 6 Fuzzy linear programming games 166
561A cooperative game arising from a production pro-
gramming problem 166
562 The core of a fuzzy linear production programming
game 170
563 Solution concepts in fuzzy linear programming games
with fuzzy goals 179
5 7 Conclusions , 190
6 Multiobjective n-person cooperative games 195
6 1 Introduction 195
6 2 Cooperative games with multiple scenarios 198
Contents XIII
621 Cooperative games incorporating fuzziness, uncertainty
or risk 198
622 Computational methods for obtaining the solutions 202
623 Cooperative games with fuzzy coalitions and multiple
scenarios 206
6 3 Multiobjective n-person cooperative games 208
631 Multiobjective payoff sets 208
632 Reduction to single-objective games 209
633 The core, the least core and the nucleolus in multiob-
jective n-person cooperative games 211
6 4 Multiobjective linear production programming games 224
641 Multiobjective games arising from multiobjective lin-
ear production programming problems 224
642 The core of the multiobjective linear production pro-
gramming game 227
643 The least core and the nucleolus of the multiobjective
linear production programming game 235
6 5 Conclusions 244
References 247
Index 257
|
| any_adam_object | 1 |
| author | Nishizaki, Ichirō 1959- Sakawa, Masatoshi 1947- |
| author_GND | (DE-588)122520785 (DE-588)121883817 |
| author_facet | Nishizaki, Ichirō 1959- Sakawa, Masatoshi 1947- |
| author_role | aut aut |
| author_sort | Nishizaki, Ichirō 1959- |
| author_variant | i n in m s ms |
| building | Verbundindex |
| bvnumber | BV013529577 |
| classification_rvk | QH 430 |
| ctrlnum | (OCoLC)174643547 (DE-599)BVBBV013529577 |
| dewey-full | 519.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.3 |
| dewey-search | 519.3 |
| dewey-sort | 3519.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV013529577 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:47:26Z |
| institution | BVB |
| isbn | 3790813605 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009236072 |
| oclc_num | 174643547 |
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| owner_facet | DE-703 DE-83 |
| physical | XIII, 258 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Physica-Verl. |
| record_format | marc |
| series | Studies in fuzziness and soft computing |
| series2 | Studies in fuzziness and soft computing |
| spelling | Nishizaki, Ichirō 1959- Verfasser (DE-588)122520785 aut Fuzzy and multiobjective games for conflict resolution with 30 tables Ichiro Nishizaki ; Masatoshi Sakawa Heidelberg ; New York Physica-Verl. 2001 XIII, 258 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Studies in fuzziness and soft computing 64 Mehrfache Zielsetzung (DE-588)4120724-5 gnd rswk-swf Spieltheorie (DE-588)4056243-8 gnd rswk-swf Fuzzy-Logik (DE-588)4341284-1 gnd rswk-swf Spieltheorie (DE-588)4056243-8 s Mehrfache Zielsetzung (DE-588)4120724-5 s DE-604 Fuzzy-Logik (DE-588)4341284-1 s Sakawa, Masatoshi 1947- Verfasser (DE-588)121883817 aut Studies in fuzziness and soft computing 64 (DE-604)BV021858135 64 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009236072&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nishizaki, Ichirō 1959- Sakawa, Masatoshi 1947- Fuzzy and multiobjective games for conflict resolution with 30 tables Studies in fuzziness and soft computing Mehrfache Zielsetzung (DE-588)4120724-5 gnd Spieltheorie (DE-588)4056243-8 gnd Fuzzy-Logik (DE-588)4341284-1 gnd |
| subject_GND | (DE-588)4120724-5 (DE-588)4056243-8 (DE-588)4341284-1 |
| title | Fuzzy and multiobjective games for conflict resolution with 30 tables |
| title_auth | Fuzzy and multiobjective games for conflict resolution with 30 tables |
| title_exact_search | Fuzzy and multiobjective games for conflict resolution with 30 tables |
| title_full | Fuzzy and multiobjective games for conflict resolution with 30 tables Ichiro Nishizaki ; Masatoshi Sakawa |
| title_fullStr | Fuzzy and multiobjective games for conflict resolution with 30 tables Ichiro Nishizaki ; Masatoshi Sakawa |
| title_full_unstemmed | Fuzzy and multiobjective games for conflict resolution with 30 tables Ichiro Nishizaki ; Masatoshi Sakawa |
| title_short | Fuzzy and multiobjective games for conflict resolution |
| title_sort | fuzzy and multiobjective games for conflict resolution with 30 tables |
| title_sub | with 30 tables |
| topic | Mehrfache Zielsetzung (DE-588)4120724-5 gnd Spieltheorie (DE-588)4056243-8 gnd Fuzzy-Logik (DE-588)4341284-1 gnd |
| topic_facet | Mehrfache Zielsetzung Spieltheorie Fuzzy-Logik |
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