Generalized Fuzzy Shapley Function for Fuzzy Games
A generalized fuzzy Shapley function for fuzzy games is proposed. First, a game with fuzzy characteristic function is introduced. Based on Hukuhara difference, the fuzzy Hukuhara-Shapley function is proposed as a solution concept to this class of fuzzy games. Some of its properties are shown. An equ...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/327921 |
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| _version_ | 1832556376524587008 |
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| author | Chunqiao Tan Xiaohong Chen |
| author_facet | Chunqiao Tan Xiaohong Chen |
| author_sort | Chunqiao Tan |
| collection | DOAJ |
| description | A generalized fuzzy Shapley function for fuzzy games is proposed. First, a game with fuzzy characteristic function is introduced. Based on Hukuhara difference, the fuzzy Hukuhara-Shapley function is proposed as a solution concept to this class of fuzzy games. Some of its properties are shown. An equivalent axiomatic characterization of the fuzzy Hukuhara-Shapley function is given. Furthermore, a generalized fuzzy Shapley function for games with fuzzy coalition and fuzzy characteristic function is developed. It is shown that the simplified expression of the generalized fuzzy Shapley function can be regarded as the generalization of the fuzzy Shapley function defined for some particular games with fuzzy coalition and fuzzy characteristic function. |
| format | Article |
| id | doaj-art-fe65868ca0af44ecae4cf6282766ec31 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-fe65868ca0af44ecae4cf6282766ec312025-02-03T05:45:39ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/327921327921Generalized Fuzzy Shapley Function for Fuzzy GamesChunqiao Tan0Xiaohong Chen1School of Business, Central South University, Changsha 410083, ChinaSchool of Business, Central South University, Changsha 410083, ChinaA generalized fuzzy Shapley function for fuzzy games is proposed. First, a game with fuzzy characteristic function is introduced. Based on Hukuhara difference, the fuzzy Hukuhara-Shapley function is proposed as a solution concept to this class of fuzzy games. Some of its properties are shown. An equivalent axiomatic characterization of the fuzzy Hukuhara-Shapley function is given. Furthermore, a generalized fuzzy Shapley function for games with fuzzy coalition and fuzzy characteristic function is developed. It is shown that the simplified expression of the generalized fuzzy Shapley function can be regarded as the generalization of the fuzzy Shapley function defined for some particular games with fuzzy coalition and fuzzy characteristic function.http://dx.doi.org/10.1155/2014/327921 |
| spellingShingle | Chunqiao Tan Xiaohong Chen Generalized Fuzzy Shapley Function for Fuzzy Games Journal of Applied Mathematics |
| title | Generalized Fuzzy Shapley Function for Fuzzy Games |
| title_full | Generalized Fuzzy Shapley Function for Fuzzy Games |
| title_fullStr | Generalized Fuzzy Shapley Function for Fuzzy Games |
| title_full_unstemmed | Generalized Fuzzy Shapley Function for Fuzzy Games |
| title_short | Generalized Fuzzy Shapley Function for Fuzzy Games |
| title_sort | generalized fuzzy shapley function for fuzzy games |
| url | http://dx.doi.org/10.1155/2014/327921 |
| work_keys_str_mv | AT chunqiaotan generalizedfuzzyshapleyfunctionforfuzzygames AT xiaohongchen generalizedfuzzyshapleyfunctionforfuzzygames |