A Graphical Method for Solving Interval Matrix Games
2×𝑛 or 𝑚×2 interval matrix games are considered, and a graphical method for solving such games is given. Interval matrix game is the interval generation of classical matrix games. Because of uncertainty in real-world applications, payoffs of a matrix game may not be a fixed number. Since the pay...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/260490 |
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| author | Handan Akyar Emrah Akyar |
| author_facet | Handan Akyar Emrah Akyar |
| author_sort | Handan Akyar |
| collection | DOAJ |
| description | 2×𝑛 or 𝑚×2 interval matrix games are considered, and a graphical
method for solving such games is given. Interval matrix game is
the interval generation of classical matrix games. Because of
uncertainty in real-world applications, payoffs of a matrix
game may not be a fixed number. Since the payoffs may vary within
a range for fixed strategies, an interval-valued matrix can
be used to model such uncertainties. In the literature, there are
different approaches for the comparison of fuzzy numbers and
interval numbers. In this work, the idea of acceptability index is
used which is suggested by Sengupta et al. (2001) and Sengupta and
Pal (2009), and in view of acceptability index, well-known
graphical method for matrix games is adapted to interval matrix
games. |
| format | Article |
| id | doaj-art-e510f9ac939a47b18c3f37ff5325703b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e510f9ac939a47b18c3f37ff5325703b2025-08-20T03:26:20ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/260490260490A Graphical Method for Solving Interval Matrix GamesHandan Akyar0Emrah Akyar1Department of Mathematics, Faculty of Science, Anadolu University, 26470 Eskisehir, TurkeyDepartment of Mathematics, Faculty of Science, Anadolu University, 26470 Eskisehir, Turkey2×𝑛 or 𝑚×2 interval matrix games are considered, and a graphical method for solving such games is given. Interval matrix game is the interval generation of classical matrix games. Because of uncertainty in real-world applications, payoffs of a matrix game may not be a fixed number. Since the payoffs may vary within a range for fixed strategies, an interval-valued matrix can be used to model such uncertainties. In the literature, there are different approaches for the comparison of fuzzy numbers and interval numbers. In this work, the idea of acceptability index is used which is suggested by Sengupta et al. (2001) and Sengupta and Pal (2009), and in view of acceptability index, well-known graphical method for matrix games is adapted to interval matrix games.http://dx.doi.org/10.1155/2011/260490 |
| spellingShingle | Handan Akyar Emrah Akyar A Graphical Method for Solving Interval Matrix Games Abstract and Applied Analysis |
| title | A Graphical Method for Solving Interval Matrix Games |
| title_full | A Graphical Method for Solving Interval Matrix Games |
| title_fullStr | A Graphical Method for Solving Interval Matrix Games |
| title_full_unstemmed | A Graphical Method for Solving Interval Matrix Games |
| title_short | A Graphical Method for Solving Interval Matrix Games |
| title_sort | graphical method for solving interval matrix games |
| url | http://dx.doi.org/10.1155/2011/260490 |
| work_keys_str_mv | AT handanakyar agraphicalmethodforsolvingintervalmatrixgames AT emrahakyar agraphicalmethodforsolvingintervalmatrixgames AT handanakyar graphicalmethodforsolvingintervalmatrixgames AT emrahakyar graphicalmethodforsolvingintervalmatrixgames |