灰色博弈网决策模型研究  

Decision-making Research of Gray Network of Games

作　　者：周兴旺[1] 从福仲[1] 庞世春[1] 

机构地区：[1]空军航空大学,长春130000

出　　处：《科学技术与工程》2015年第25期95-99,共5页Science Technology and Engineering

基　　金：国家自然科学基金(11171350)资助

摘　　要：针对超博弈决策问题中存在的"灰色"的"贫信息"问题,提出一种基于信息缺失下的灰色博弈网模型;并给出了灰色博弈网的建模思路及其纳什均衡求解算法,解决了博弈网决策模型中的灰色不确定性问题。通过宏观信念建模,生成全局灰场景和优化典型灰场景。通过微观信念均衡建模,利用可能度分析和粒子群算法求解纳什均衡。最后实例仿真,验证了该灰色博弈网模型的可行性和有效性,真实性好,有较高的应用研究价值。Aiming at super game problem that there may be the ＂gray＂ and ＂poor information＂ problem, a model based on grey network of games under the lack of information network was put forward, and put forward the modeling ideas of grey network of games and its Nash equilibrium solution algorithm, and solved the grey uncertain- ty problems in network of games modeling. Through macroscopic faith modeling, global grey scene and typical optimization scene were generated, through micro belief equilibrium modeling, using possible degree analysis and particle swarm optimization to solve the Nash equilibrium. The feasibility and effectiveness of the grey game network algorithm was finally instanced simulation to verify, its authenticity is good, and there is a high application value.

关 键 词：超博弈 灰色博弈网 纳什均衡 可能度分析 粒子群算法 

分 类 号：O225[理学—运筹学与控制论]