Generalized form solutions of cooperative game with fuzzy coalition structure
| العنوان: | Generalized form solutions of cooperative game with fuzzy coalition structure |
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| المؤلفون: | Jinhui Pang, Xiaohui Yu, Zhen Zhou, Zhengxing Zou, Zhiping Du, Qiang Zhang |
| المصدر: | Soft Computing. 24:861-877 |
| بيانات النشر: | Springer Science and Business Media LLC, 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Computer Science::Computer Science and Game Theory, 0209 industrial biotechnology, Partition function (statistical mechanics), Mathematics::General Mathematics, Computer science, Computation, ComputingMilieux_PERSONALCOMPUTING, TheoryofComputation_GENERAL, Computational intelligence, 02 engineering and technology, Fuzzy logic, Convexity, Theoretical Computer Science, Computer Science::Multiagent Systems, ComputingMethodologies_PATTERNRECOGNITION, 020901 industrial engineering & automation, 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, Fuzzy game, ComputingMethodologies_GENERAL, Geometry and Topology, Mathematical economics, Software |
| الوصف: | A fuzzy coalition structure is a partition of player set under a certain participation level. In this study, a kind of cooperative games with fuzzy coalition structure (i.e., generalized fuzzy game) is proposed, which can be seen as an extension of game in Owen’s coalition structure. The generalized fuzzy game is defined by partition function, which could be used to express several cooperative games with fuzzy coalition structure (i.e., fuzzy coalition structure games). For the fuzzy coalition structure, the generalized cooperative game could denote the coalition interaction under different participation ratios for players. The properties of generalized fuzzy game have been proven, such as inheritance, supperadditivity and convexity. In order to get unified solution for the generalized fuzzy game, fuzzy Owen value is also extended based on the consistent formula of generalized fuzzy game. It is proved that the fuzzy Owen value is a unique value for the generalized fuzzy game based on symmetric within fuzzy coalition, symmetric across fuzzy coalitions, fuzzy null player, linearity and efficiency. Finally, the fuzzy Owen value is represented by crisp one in order to simplify fuzzy solution computation. |
| تدمد: | 1433-7479 1432-7643 |
| DOI: | 10.1007/s00500-019-04552-9 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::3c38b718d062bc67d56a0ec91d49ae18 https://doi.org/10.1007/s00500-019-04552-9 |
| Rights: | CLOSED |
| رقم الانضمام: | edsair.doi...........3c38b718d062bc67d56a0ec91d49ae18 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 14337479 14327643 |
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| DOI: | 10.1007/s00500-019-04552-9 |