Integral Representations of Cooperative Game with Fuzzy Coalitions
Classical extensions of fuzzy game models are based on various integrals, such as Butnariu game and Tsurumi game. A new class of symmetric extension of fuzzy game with fuzzy coalition variables is put forward with Concave integral, where players’ expected values are on a partial set of coalitions. S...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/639684 |
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| _version_ | 1832546004240433152 |
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| author | Jinhui Pang Xiang Chen |
| author_facet | Jinhui Pang Xiang Chen |
| author_sort | Jinhui Pang |
| collection | DOAJ |
| description | Classical extensions of fuzzy game models are based on various integrals, such as Butnariu game and Tsurumi game. A new class of symmetric extension of fuzzy game with fuzzy coalition variables is put forward with Concave integral, where players’ expected values are on a partial set of coalitions. Some representations and properties of some limited models are compared in this paper. The explicit formula of characteristic function determined by coalition variables is given. Moreover, a calculation approach of imputations is discussed in detail. The new game could be regarded as a general form of cooperative game. Furthermore, the fuzzy game introduced by Tsurumi is a special case of the proposed game when game is convex. |
| format | Article |
| id | doaj-art-9f543ac616634c4e8bff921204644bd7 |
| 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-9f543ac616634c4e8bff921204644bd72025-02-03T07:24:05ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/639684639684Integral Representations of Cooperative Game with Fuzzy CoalitionsJinhui Pang0Xiang Chen1Library, Beijing Institute of Technology, Beijing 100081, ChinaPatent Examination Cooperation Center of the Patent Office, State Intellectual Property Office, Beijing 100088, ChinaClassical extensions of fuzzy game models are based on various integrals, such as Butnariu game and Tsurumi game. A new class of symmetric extension of fuzzy game with fuzzy coalition variables is put forward with Concave integral, where players’ expected values are on a partial set of coalitions. Some representations and properties of some limited models are compared in this paper. The explicit formula of characteristic function determined by coalition variables is given. Moreover, a calculation approach of imputations is discussed in detail. The new game could be regarded as a general form of cooperative game. Furthermore, the fuzzy game introduced by Tsurumi is a special case of the proposed game when game is convex.http://dx.doi.org/10.1155/2014/639684 |
| spellingShingle | Jinhui Pang Xiang Chen Integral Representations of Cooperative Game with Fuzzy Coalitions Journal of Applied Mathematics |
| title | Integral Representations of Cooperative Game with Fuzzy Coalitions |
| title_full | Integral Representations of Cooperative Game with Fuzzy Coalitions |
| title_fullStr | Integral Representations of Cooperative Game with Fuzzy Coalitions |
| title_full_unstemmed | Integral Representations of Cooperative Game with Fuzzy Coalitions |
| title_short | Integral Representations of Cooperative Game with Fuzzy Coalitions |
| title_sort | integral representations of cooperative game with fuzzy coalitions |
| url | http://dx.doi.org/10.1155/2014/639684 |
| work_keys_str_mv | AT jinhuipang integralrepresentationsofcooperativegamewithfuzzycoalitions AT xiangchen integralrepresentationsofcooperativegamewithfuzzycoalitions |