| 具有模糊目标的多目标双矩阵对策集结与求解 |
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| 引用本文： | 瞿勇,宋业新,张建军. 具有模糊目标的多目标双矩阵对策集结与求解[J]. 数学的实践与认识, 2010, 40(5) |
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| 作者姓名： | 瞿勇 宋业新 张建军 |
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| 作者单位： | 海军工程大学,理学院,湖北,武汉,430033 |
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| 基金项目： | 国家自然科学基金(60774029); 海军工程大学自然科学基金(HGDJJ07007) |
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| 摘 要： | 针对不确定性多冲突环境,建立了多个具有模糊目标的多目标双矩阵对策的综合集结模型.在假定局中人各模糊目标的隶属函数为线性函数的情形下,基于总体模糊目标的可达度,给出了纳什均衡解的定义,并应用粒子群优化算法对集结模型求解.最后,给出一个军事例子说明了模型的实用有效性和粒子群优化算法求解的高效性.
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| 关 键 词： | 模糊多目标双矩阵对策 多冲突环境 对策集结 策略串 粒子群优化 |
Integration and Solution of Multiobjective Bimatrix Games with Fuzzy Goals |
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| Qu Yong,SONG Ye-xin,ZHANG Jian-jun. Integration and Solution of Multiobjective Bimatrix Games with Fuzzy Goals[J]. Mathematics in Practice and Theory, 2010, 40(5) |
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| Authors: | Qu Yong SONG Ye-xin ZHANG Jian-jun |
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| Affiliation: | QU Yong,SONG Ye-xin,ZHANG Jian-jun (College of Science,Naval University of Engineering,Wuhan 430033,China) |
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| Abstract: | In this paper a synthetic aggregation model of multiple multi-objective bimatrix games with fuzzy goals is established for the uncertain multi-conflict situations.Based on the degree of attainment of the aggregated fuzzy goal,the definition of the Nash equilibrium solutions is proposed while the membership functions of fuzzy goals are linear,and a PSO algorithm is presented for solving the synthetic aggregation models.Finally,a military example is given to illustrate the practicality and effectivity of the ... |
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| Keywords: | multiobjective bimatrix games with fuzzy goals multi-conflict situations integration of games strategy string PSO algorithm |
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