The Cores for Fuzzy Games Represented by the Concave Integral
We propose a new fuzzy game model by the concave integral by assigning subjective expected values to random variables in the interval [0,1]. The explicit formulas of characteristic functions which are determined by coalition variables are discussed in detail. After illustrating some properties of th...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/318764 |
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| _version_ | 1832548849807261696 |
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| author | Jinhui Pang Shujin Li |
| author_facet | Jinhui Pang Shujin Li |
| author_sort | Jinhui Pang |
| collection | DOAJ |
| description | We propose a new fuzzy game model by the concave integral by assigning subjective expected values to random variables in the interval [0,1]. The explicit formulas of characteristic functions which are determined by coalition variables are discussed in detail. After illustrating some properties of the new game, its fuzzy core is defined; this is a generalization of crisp core. Moreover, we give a further discussion on the core for the new games. Some notions and results from classical games are extended to the model. The nonempty fuzzy core is given in terms of the fuzzy convexity. Our results develop some known fuzzy cooperative games. |
| format | Article |
| id | doaj-art-d6674d961ad4470fb140e3defbecc8f5 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d6674d961ad4470fb140e3defbecc8f52025-02-03T06:12:55ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/318764318764The Cores for Fuzzy Games Represented by the Concave IntegralJinhui Pang0Shujin Li1Library, Beijing Institute of Technology, Beijing 100081, ChinaDepartment of Information Management, The Central Institute for Correctional Police, Baoding 071000, ChinaWe propose a new fuzzy game model by the concave integral by assigning subjective expected values to random variables in the interval [0,1]. The explicit formulas of characteristic functions which are determined by coalition variables are discussed in detail. After illustrating some properties of the new game, its fuzzy core is defined; this is a generalization of crisp core. Moreover, we give a further discussion on the core for the new games. Some notions and results from classical games are extended to the model. The nonempty fuzzy core is given in terms of the fuzzy convexity. Our results develop some known fuzzy cooperative games.http://dx.doi.org/10.1155/2014/318764 |
| spellingShingle | Jinhui Pang Shujin Li The Cores for Fuzzy Games Represented by the Concave Integral Journal of Function Spaces |
| title | The Cores for Fuzzy Games Represented by the Concave Integral |
| title_full | The Cores for Fuzzy Games Represented by the Concave Integral |
| title_fullStr | The Cores for Fuzzy Games Represented by the Concave Integral |
| title_full_unstemmed | The Cores for Fuzzy Games Represented by the Concave Integral |
| title_short | The Cores for Fuzzy Games Represented by the Concave Integral |
| title_sort | cores for fuzzy games represented by the concave integral |
| url | http://dx.doi.org/10.1155/2014/318764 |
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