Linear programming models and methods of matrix games with payoffs of triangular fuzzy numbers:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg
Springer
[2016]
|
| Series: | Studies in fuzziness and soft computing
volume 328 |
| Subjects: | |
| Online Access: | http://www.springer.com/ Inhaltstext Inhaltsverzeichnis |
| Physical Description: | xvi, 165 Seiten Illustration (farbig), Diagramme |
| ISBN: | 3662484749 9783662484746 |
Staff View
MARC
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| 245 | 1 | 0 | |a Linear programming models and methods of matrix games with payoffs of triangular fuzzy numbers |c Deng-Feng Li |
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| 653 | |a Fuzzy Set | ||
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| 653 | |a Operational Research | ||
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CONTENTS
PART I MODELS AND METHODS OF MATRIX GAMES WITH PAYOFFS
OF TRIANGULAR FUZZY NUMBERS
1 INTERVAL-VALUED MATRIX GAMES 3
1.1 INTRODUCTION 3
1.2 MATRIX GAMES AND AUXILIARY LINEAR PROGRAMMING MODELS 5
1.3 INTERVAL-VALUED MATHEMATICAL PROGRAMMING MODELS
OF INTERVAL-VALUED MATRIX GAMES 8
1.3.1 ARITHMETIC OPERATIONS OVER INTERVALS 8
1.3.2 CONCEPTS OF SOLUTIONS OF INTERVAL-VALUED MATRIX GAMES
AND PROPERTIES 10
1.3.3 AUXILIARY INTERVAL-VALUED MATHEMATICAL
PROGRAMMING MODELS 13
1.3.4 SOLVING METHODS OF 2 X 2 INTERVAL-VALUED
MATRIX GAMES 18
1.4 ACCEPTABILITY-DEGREE-BASED LINEAR PROGRAMMING MODELS
OF INTERVAL-VALUED MATRIX GAMES 23
1.4.1 CONCEPTS OF ACCEPTABILITY DEGREES OF INTERVAL COMPARISON
AND PROPERTIES 23
1.4.2 INTERVAL-VALUED MATHEMATICAL PROGRAMMING MODELS
AND SATISFACTORY EQUIVALENT FORMS 25
1.4.3 AUXILIARY LINEAR PROGRAMMING MODELS OF INTERVAL-VALUED
MATRIX GAMES 26
1.4.4 REAL EXAMPLE ANALYSIS OF MARKET SHARE PROBLEMS 34
1.5 THE LEXICOGRAPHIC METHOD OF INTERVAL-VALUED MATRIX GAMES . 36
IX
HTTP://D-NB.INFO/1075881536
X CONTENTS
1.6 PRIMAL-DUAL LINEAR PROGRAMMING MODELS OF INTERVAL-VALUED
MATRIX GAMES 41
1.6.1 THE MONOTONICITY OF VALUES OF INTERVAL-VALUED
MATRIX GAMES 41
1.6.2 AUXILIARY LINEAR PROGRAMMING MODELS
OF INTERVAL-VALUED MATRIX GAMES 42
1.6.3 REAL EXAMPLE ANALYSIS OF INVESTMENT
DECISION PROBLEMS 48
REFERENCES 61
2 MATRIX GAMES WITH PAYOFFS OF TRIANGULAR FUZZY NUMBERS 65
2.1 INTRODUCTION 65
2.2 TRIANGULAR FUZZY NUMBERS AND ALFA-CUT SETS 67
2.3 FUZZY MULTI-OBJECTIVE PROGRAMMING MODELS OF MATRIX GAMES
WITH PAYOFFS OF TRIANGULAR FUZZY NUMBERS 69
2.3.1 ORDER RELATIONS OF TRIANGULAR FUZZY NUMBERS 69
2.3.2 CONCEPTS OF SOLUTIONS OF MATRIX GAMES WITH PAYOFFS
OF TRIANGULAR FUZZY NUMBERS 71
2.3.3 FUZZY LINEAR PROGRAMMING METHOD OF MATRIX GAMES
WITH PAYOFFS OF TRIANGULAR FUZZY NUMBERS 73
2.4 TWO-LEVEL LINEAR PROGRAMMING MODELS OF MATRIX GAMES
WITH PAYOFFS OF TRIANGULAR FUZZY NUMBERS 82
2.5 THE LEXICOGRAPHIC METHOD OF MATRIX GAMES WITH PAYOFFS
OF TRIANGULAR FUZZY NUMBERS 89
2.6 ALFA-CUT-BASED PRIMAL-DUAL LINEAR PROGRAMMING MODELS
OF MATRIX GAMES WITH PAYOFFS OF TRIANGULAR FUZZY NUMBERS. . 96
2.6.1 INTERVAL-VALUED MATRIX GAMES BASED ON ALFA-CUT SETS
OF TRIANGULAR FUZZY NUMBERS 97
2.6.2 LINEAR PROGRAMMING METHOD OF MATRIX GAMES
WITH PAYOFFS OF TRIANGULAR FUZZY NUMBERS 107
2.6.3 COMPUTATIONAL ANALYSIS OF A REAL EXAMPLE 110
REFERENCES 119
PART II MODELS AND METHODS OF CONSTRAINED MATRIX GAMES
WITH PAYOFFS OF TRIANGULAR FUZZY NUMBERS
3 INTERVAL-VALUED CONSTRAINED MATRIX GAMES 123
3.1 INTRODUCTION 123
3.2 CONSTRAINED MATRIX GAMES AND AUXILIARY LINEAR
PROGRAMMING MODELS 124
CONTENTS XI
3.3 PRIMAL-DUAL LINEAR PROGRAMMING MODELS OF INTERVAL-VALUED
CONSTRAINED MATRIX GAMES 126
3.3.1 MONOTONICITY OF VALUES OF CONSTRAINED MATRIX GAMES . . . 127
3.3.2 LINEAR PROGRAMMING METHODS OF INTERVAL-VALUED
CONSTRAINED MATRIX GAMES 128
3.3.3 REAL EXAMPLE ANALYSIS OF MARKET SHARE PROBLEMS 130
REFERENCES 134
4 CONSTRAINED MATRIX GAMES WITH PAYOFFS OF TRIANGULAR
FUZZY NUMBERS 135
4.1 INTRODUCTION 135
4.2 FUZZY MULTI-OBJECTIVE PROGRAMMING MODELS OF CONSTRAINED
MATRIX GAMES WITH PAYOFFS OF TRIANGULAR FUZZY NUMBERS 136
4.2.1 CONSTRAINED MATRIX GAMES WITH PAYOFFS OF TRIANGULAR
FUZZY NUMBERS 136
4.2.2 FUZZY MULTI-OBJECTIVE PROGRAMMING METHOD
OF CONSTRAINED MATRIX GAMES WITH PAYOFFS
OF TRIANGULAR FUZZY NUMBERS 139
4.3 ALFA-CUT-BASED PRIMAL-DUAL LINEAR PROGRAMMING MODELS
OF CONSTRAINED MATRIX GAMES WITH PAYOFFS OF TRIANGULAR
FUZZY NUMBERS 148
4.3.1 CONCEPTS OF ALFA-CONSTRAINED MATRIX GAMES
WITH PAYOFFS OF TRIANGULAR FUZZY NUMBERS 148
4.3.2 LINEAR PROGRAMMING MODELS OF CONSTRAINED MATRIX
GAMES WITH PAYOFFS OF TRIANGULAR FUZZY NUMBERS 149
4.3.3 ALGORITHM OF LINEAR PROGRAMMING METHOD
OF CONSTRAINED MATRIX GAMES WITH PAYOFFS
OF TRIANGULAR FUZZY NUMBERS 157
4.3.4 REAL EXAMPLE ANALYSIS OF MARKET SHARE PROBLEMS
WITH PAYOFFS OF TRIANGULAR FUZZY NUMBERS 158
REFERENCES 165 |
| any_adam_object | 1 |
| author | Li, Deng-Feng 1965- |
| author_GND | (DE-588)1049657365 |
| author_facet | Li, Deng-Feng 1965- |
| author_role | aut |
| author_sort | Li, Deng-Feng 1965- |
| author_variant | d f l dfl |
| building | Verbundindex |
| bvnumber | BV043185625 |
| classification_rvk | ST 301 |
| ctrlnum | (OCoLC)920691168 (DE-599)DNB1075881536 |
| dewey-full | 330 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 330 - Economics |
| dewey-raw | 330 |
| dewey-search | 330 |
| dewey-sort | 3330 |
| dewey-tens | 330 - Economics |
| discipline | Informatik Wirtschaftswissenschaften |
| format | Book |
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| indexdate | 2024-09-10T01:57:26Z |
| institution | BVB |
| isbn | 3662484749 9783662484746 |
| language | English |
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| physical | xvi, 165 Seiten Illustration (farbig), Diagramme |
| publishDate | 2016 |
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| publishDateSort | 2016 |
| publisher | Springer |
| record_format | marc |
| series | Studies in fuzziness and soft computing |
| series2 | Studies in fuzziness and soft computing |
| spelling | Li, Deng-Feng 1965- Verfasser (DE-588)1049657365 aut Linear programming models and methods of matrix games with payoffs of triangular fuzzy numbers Deng-Feng Li Berlin ; Heidelberg Springer [2016] © 2016 xvi, 165 Seiten Illustration (farbig), Diagramme txt rdacontent n rdamedia nc rdacarrier Studies in fuzziness and soft computing volume 328 Lineare Optimierung (DE-588)4035816-1 gnd rswk-swf Spieltheorie (DE-588)4056243-8 gnd rswk-swf Matrixspiel (DE-588)4169122-2 gnd rswk-swf Operations Research (DE-588)4043586-6 gnd rswk-swf Fuzzy-Menge (DE-588)4061868-7 gnd rswk-swf Research KJT Matrix Games Fuzzy Set Game Theory Operational Research Linear Programming Model Lineare Optimierung (DE-588)4035816-1 s Spieltheorie (DE-588)4056243-8 s Matrixspiel (DE-588)4169122-2 s Fuzzy-Menge (DE-588)4061868-7 s Operations Research (DE-588)4043586-6 s DE-604 Erscheint auch als Online-Ausgabe 978-3-662-48476-0 Studies in fuzziness and soft computing volume 328 (DE-604)BV021858135 328 http://www.springer.com/ Verlag X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=859edcf1011d4bc7b626312e147318a0&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=028609456&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Li, Deng-Feng 1965- Linear programming models and methods of matrix games with payoffs of triangular fuzzy numbers Studies in fuzziness and soft computing Lineare Optimierung (DE-588)4035816-1 gnd Spieltheorie (DE-588)4056243-8 gnd Matrixspiel (DE-588)4169122-2 gnd Operations Research (DE-588)4043586-6 gnd Fuzzy-Menge (DE-588)4061868-7 gnd |
| subject_GND | (DE-588)4035816-1 (DE-588)4056243-8 (DE-588)4169122-2 (DE-588)4043586-6 (DE-588)4061868-7 |
| title | Linear programming models and methods of matrix games with payoffs of triangular fuzzy numbers |
| title_auth | Linear programming models and methods of matrix games with payoffs of triangular fuzzy numbers |
| title_exact_search | Linear programming models and methods of matrix games with payoffs of triangular fuzzy numbers |
| title_full | Linear programming models and methods of matrix games with payoffs of triangular fuzzy numbers Deng-Feng Li |
| title_fullStr | Linear programming models and methods of matrix games with payoffs of triangular fuzzy numbers Deng-Feng Li |
| title_full_unstemmed | Linear programming models and methods of matrix games with payoffs of triangular fuzzy numbers Deng-Feng Li |
| title_short | Linear programming models and methods of matrix games with payoffs of triangular fuzzy numbers |
| title_sort | linear programming models and methods of matrix games with payoffs of triangular fuzzy numbers |
| topic | Lineare Optimierung (DE-588)4035816-1 gnd Spieltheorie (DE-588)4056243-8 gnd Matrixspiel (DE-588)4169122-2 gnd Operations Research (DE-588)4043586-6 gnd Fuzzy-Menge (DE-588)4061868-7 gnd |
| topic_facet | Lineare Optimierung Spieltheorie Matrixspiel Operations Research Fuzzy-Menge |
| url | http://www.springer.com/ http://deposit.dnb.de/cgi-bin/dokserv?id=859edcf1011d4bc7b626312e147318a0&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=028609456&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021858135 |
| work_keys_str_mv | AT lidengfeng linearprogrammingmodelsandmethodsofmatrixgameswithpayoffsoftriangularfuzzynumbers |