| 基于整数加群模糊自动机及其在对策论中的应用 |
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| 引用本文： | 朱文倩,贺巧,昌春艳,雷红轩.基于整数加群模糊自动机及其在对策论中的应用[J].内江师范学院学报,2009,24(8):41-43. |
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| 作者姓名： | 朱文倩 贺巧 昌春艳 雷红轩 |
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| 作者单位： | 1. 内江师范学院数学与信息科学学院,四川,内江,641112
2. 内江师范学院数学与信息科学学院,四川,内江,641112;四川省高等学校数值仿真重点实验室,四川,内江,641112 |
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| 基金项目： | 四川省教育厅重点科研项目 |
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| 摘 要： | 提出了一种基于整数加群的模糊自动机的数学模型，研究了它的一些基本性质，并将对策论中多人博弈模型转化为模糊自动机模型，给出了一种求最优解的算法，最后用田忌和齐王赛马的例子验证了此算法．
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| 关 键 词： | 整数加群 模糊自动机 博弈 最优解 |
Fuzzy Automata Based on Integer Plus Group and Its Application in Game Theory |
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| ZHU Wen-qian,HE Qiao,CHANG Chun-yan,LEI Hong-xuan.Fuzzy Automata Based on Integer Plus Group and Its Application in Game Theory[J].Journal of Neijiang Teachers College,2009,24(8):41-43. |
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| Authors: | ZHU Wen-qian HE Qiao CHANG Chun-yan LEI Hong-xuan |
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| Institution: | 1.Key Laboratory of Numerical Simulation of Sichuan Province;Neijiang;Sichuan 641112;China;2.School of Mathematics and Information Science;Neijiang Normal University;China |
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| Abstract: | The mathematical model of fuzzy automata based on integer plus group is proposed;and some basic properties of this kind of automata are investigated.and the multi-person game theory model is transformed into the above automata model.An algorithm of optimum solution is also given.Finally,the historical example of horserace between the King of Qi and Tian Ji is presented to illustrate the performance of the algorithm. |
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| Keywords: | integer plus group fuzzy automata game optimal solution |
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