A Laplace's principle based approach for solving fuzzy matrix games
We introduce a solution for matrix games with fuzzy payoffs via the α -cuts and the introduction of Nature as a third player expressing the uncertainty involved in the game. The beliefs of players about the behavior of Nature are based on the Laplace’s principle of “insufficient reason”. Moreover, w...
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| Format: | Book Chapter |
| Language: | English |
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NOVA Publisher
2010
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| Online Access: | http://irep.iium.edu.my/13485/ http://irep.iium.edu.my/13485/1/NOVA_PUblisher_Paper_PDF.pdf |
| _version_ | 1848777572671815680 |
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| author | Larbani, Moussa |
| author_facet | Larbani, Moussa |
| author_sort | Larbani, Moussa |
| building | IIUM Repository |
| collection | Online Access |
| description | We introduce a solution for matrix games with fuzzy payoffs via the α -cuts and the introduction of Nature as a third player expressing the uncertainty involved in the game. The beliefs of players about the behavior of Nature are based on the Laplace’s principle of “insufficient reason”. Moreover, we provide a procedure for computing the introduced solution. |
| first_indexed | 2025-11-14T14:48:07Z |
| format | Book Chapter |
| id | iium-13485 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:48:07Z |
| publishDate | 2010 |
| publisher | NOVA Publisher |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-134852011-12-28T02:47:16Z http://irep.iium.edu.my/13485/ A Laplace's principle based approach for solving fuzzy matrix games Larbani, Moussa HB131 Methodology.Mathematical economics. Quantitative methods We introduce a solution for matrix games with fuzzy payoffs via the α -cuts and the introduction of Nature as a third player expressing the uncertainty involved in the game. The beliefs of players about the behavior of Nature are based on the Laplace’s principle of “insufficient reason”. Moreover, we provide a procedure for computing the introduced solution. NOVA Publisher 2010 Book Chapter PeerReviewed application/pdf en http://irep.iium.edu.my/13485/1/NOVA_PUblisher_Paper_PDF.pdf Larbani, Moussa (2010) A Laplace's principle based approach for solving fuzzy matrix games. In: Advances in mathematics research. NOVA Publisher, New York, pp. 1-27. ISBN 9781617618994 |
| spellingShingle | HB131 Methodology.Mathematical economics. Quantitative methods Larbani, Moussa A Laplace's principle based approach for solving fuzzy matrix games |
| title | A Laplace's principle based approach for solving fuzzy matrix games |
| title_full | A Laplace's principle based approach for solving fuzzy matrix games |
| title_fullStr | A Laplace's principle based approach for solving fuzzy matrix games |
| title_full_unstemmed | A Laplace's principle based approach for solving fuzzy matrix games |
| title_short | A Laplace's principle based approach for solving fuzzy matrix games |
| title_sort | laplace's principle based approach for solving fuzzy matrix games |
| topic | HB131 Methodology.Mathematical economics. Quantitative methods |
| url | http://irep.iium.edu.my/13485/ http://irep.iium.edu.my/13485/1/NOVA_PUblisher_Paper_PDF.pdf |