A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs
The aim of this paper is to develop an effective method for solving bimatrix games with payoffs of intuitionistic fuzzy value. Firstly, bimatrix game model with intuitionistic fuzzy payoffs (IFPBiG) was put forward. Secondly, two kinds of nonlinear programming algorithms were discussed with the Nash...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/121245 |
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| _version_ | 1832563197405560832 |
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| author | Min Fan Ping Zou Shao-Rong Li Chin-Chia Wu |
| author_facet | Min Fan Ping Zou Shao-Rong Li Chin-Chia Wu |
| author_sort | Min Fan |
| collection | DOAJ |
| description | The aim of this paper is to develop an effective method for solving bimatrix games with payoffs of intuitionistic fuzzy value. Firstly, bimatrix game model with intuitionistic fuzzy payoffs (IFPBiG) was put forward. Secondly, two kinds of nonlinear programming algorithms were discussed with the Nash equilibrium of IFPBiG. Thirdly, Nash equilibrium of the algorithm was proved by the fixed point theory and the algorithm was simplified by linear programming methods. Finally, an example was solved through Matlab; it showed the validity, applicability, and superiority. |
| format | Article |
| id | doaj-art-04ff856369f6489a8f39c26b712254c2 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-04ff856369f6489a8f39c26b712254c22025-02-03T01:20:43ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/121245121245A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy PayoffsMin Fan0Ping Zou1Shao-Rong Li2Chin-Chia Wu3Faculty of Science, Kunming University of Science and Technology, Kunming 650500, ChinaFaculty of Management and Economic, Kunming University of Science and Technology, Kunming 650500, ChinaFaculty of Economic, Peking University, Beijing 100083, ChinaDepartment of Statistics, Feng Chia University, Taichung 407, TaiwanThe aim of this paper is to develop an effective method for solving bimatrix games with payoffs of intuitionistic fuzzy value. Firstly, bimatrix game model with intuitionistic fuzzy payoffs (IFPBiG) was put forward. Secondly, two kinds of nonlinear programming algorithms were discussed with the Nash equilibrium of IFPBiG. Thirdly, Nash equilibrium of the algorithm was proved by the fixed point theory and the algorithm was simplified by linear programming methods. Finally, an example was solved through Matlab; it showed the validity, applicability, and superiority.http://dx.doi.org/10.1155/2014/121245 |
| spellingShingle | Min Fan Ping Zou Shao-Rong Li Chin-Chia Wu A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs The Scientific World Journal |
| title | A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs |
| title_full | A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs |
| title_fullStr | A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs |
| title_full_unstemmed | A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs |
| title_short | A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs |
| title_sort | fast approach to bimatrix games with intuitionistic fuzzy payoffs |
| url | http://dx.doi.org/10.1155/2014/121245 |
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