The fuzzy non-cooperative game with fuzzy payoff function is studied. Based on fuzzy set theory with game theory, the fuzzy Nash equilibrium of fuzzy non-cooperative games is proposed. Most of researchers rank fuzzy n...The fuzzy non-cooperative game with fuzzy payoff function is studied. Based on fuzzy set theory with game theory, the fuzzy Nash equilibrium of fuzzy non-cooperative games is proposed. Most of researchers rank fuzzy number by its center of gravity or by the real number with its maximal membership. By reducing fuzzy number into a real number, we lose much fuzzy information that should be kept during the operations between fuzzy numbers. The fuzzy quantities or alternatives are ordered directly by Yuan＇s binary fuzzy ordering relation. In doing so, the existence of fuzzy Nash equilibrium for fuzzy non-cooperative games is shown based on the utility function and the crisp Nash theorem. Finally, an illustrative example in traffic flow patterns of equilibrium is given in order to show the detailed calculation process of fuzzy Nash equilibrium.展开更多
The solvability of the coupled Riccati differential equations appearing in the differential game approach to the formation control problem is vital to the finite horizon Nash equilibrium solution.These equations(if so...The solvability of the coupled Riccati differential equations appearing in the differential game approach to the formation control problem is vital to the finite horizon Nash equilibrium solution.These equations(if solvable)can be solved numerically by using the terminal value and the backward iteration.To investigate the solvability and solution of these equations the formation control problem as the differential game is replaced by a discrete-time dynamic game.The main contributions of this paper are as follows.First,the existence of Nash equilibrium controls for the discretetime formation control problem is shown.Second,a backward iteration approximate solution to the coupled Riccati differential equations in the continuous-time differential game is developed.An illustrative example is given to justify the models and solution.展开更多
In the air combat process,confrontation position is the critical factor to determine the confrontation situation,attack effect and escape probability of UAVs.Therefore,selecting the optimal confrontation position beco...In the air combat process,confrontation position is the critical factor to determine the confrontation situation,attack effect and escape probability of UAVs.Therefore,selecting the optimal confrontation position becomes the primary goal of maneuver decision-making.By taking the position as the UAV’s maneuver strategy,this paper constructs the optimal confrontation position selecting games(OCPSGs)model.In the OCPSGs model,the payoff function of each UAV is defined by the difference between the comprehensive advantages of both sides,and the strategy space of each UAV at every step is defined by its accessible space determined by the maneuverability.Then we design the limit approximation of mixed strategy Nash equilibrium(LAMSNQ)algorithm,which provides a method to determine the optimal probability distribution of positions in the strategy space.In the simulation phase,we assume the motions on three directions are independent and the strategy space is a cuboid to simplify the model.Several simulations are performed to verify the feasibility,effectiveness and stability of the algorithm.展开更多
在进行实时对抗的任务中,对于敌方的动作识别较为困难,需要根据对方的移动轨迹或行为来分析对方的意图,预测其未来目标,构建规划策略库.针对此问题,提出基于数据驱动的多智能体识别算法,该算法首先采用基于自动机的特征提取方法,获得规...在进行实时对抗的任务中,对于敌方的动作识别较为困难,需要根据对方的移动轨迹或行为来分析对方的意图,预测其未来目标,构建规划策略库.针对此问题,提出基于数据驱动的多智能体识别算法,该算法首先采用基于自动机的特征提取方法,获得规划需要的位置和任务信息;然后将规划识别问题转换为多分类问题,并从单智能体角度切入,给出了一种基于极端梯度提升(extreme gradient boosting,XGBoost)的多分类模型;之后,对于多智能体之间可能存在的合作行为,使用无监督学习的一种基于密度对噪声鲁棒的空间聚类算法(density-based spatial clustering of applications with noise,DBSCAN)对多智能体进行分簇,以促进协同合作.对于同簇智能体,构建了一种针对多智能体的多分类模型,完成对多智能体的目标预测.在获悉敌方目标后,提出基于博弈的围捕逼停算法,构建非合作动态博弈模型,通过求解纳什均衡得到应对敌方的最优策略.最后,通过仿真验证了所提出算法的有效性.展开更多
基金supported by the National Natural Science Foundation of China (70771010)
文摘The fuzzy non-cooperative game with fuzzy payoff function is studied. Based on fuzzy set theory with game theory, the fuzzy Nash equilibrium of fuzzy non-cooperative games is proposed. Most of researchers rank fuzzy number by its center of gravity or by the real number with its maximal membership. By reducing fuzzy number into a real number, we lose much fuzzy information that should be kept during the operations between fuzzy numbers. The fuzzy quantities or alternatives are ordered directly by Yuan＇s binary fuzzy ordering relation. In doing so, the existence of fuzzy Nash equilibrium for fuzzy non-cooperative games is shown based on the utility function and the crisp Nash theorem. Finally, an illustrative example in traffic flow patterns of equilibrium is given in order to show the detailed calculation process of fuzzy Nash equilibrium.
文摘The solvability of the coupled Riccati differential equations appearing in the differential game approach to the formation control problem is vital to the finite horizon Nash equilibrium solution.These equations(if solvable)can be solved numerically by using the terminal value and the backward iteration.To investigate the solvability and solution of these equations the formation control problem as the differential game is replaced by a discrete-time dynamic game.The main contributions of this paper are as follows.First,the existence of Nash equilibrium controls for the discretetime formation control problem is shown.Second,a backward iteration approximate solution to the coupled Riccati differential equations in the continuous-time differential game is developed.An illustrative example is given to justify the models and solution.
基金National Key R&D Program of China(Grant No.2021YFA1000402)National Natural Science Foundation of China(Grant No.72071159)to provide fund for conducting experiments。
文摘In the air combat process,confrontation position is the critical factor to determine the confrontation situation,attack effect and escape probability of UAVs.Therefore,selecting the optimal confrontation position becomes the primary goal of maneuver decision-making.By taking the position as the UAV’s maneuver strategy,this paper constructs the optimal confrontation position selecting games(OCPSGs)model.In the OCPSGs model,the payoff function of each UAV is defined by the difference between the comprehensive advantages of both sides,and the strategy space of each UAV at every step is defined by its accessible space determined by the maneuverability.Then we design the limit approximation of mixed strategy Nash equilibrium(LAMSNQ)algorithm,which provides a method to determine the optimal probability distribution of positions in the strategy space.In the simulation phase,we assume the motions on three directions are independent and the strategy space is a cuboid to simplify the model.Several simulations are performed to verify the feasibility,effectiveness and stability of the algorithm.
文摘在进行实时对抗的任务中,对于敌方的动作识别较为困难,需要根据对方的移动轨迹或行为来分析对方的意图,预测其未来目标,构建规划策略库.针对此问题,提出基于数据驱动的多智能体识别算法,该算法首先采用基于自动机的特征提取方法,获得规划需要的位置和任务信息;然后将规划识别问题转换为多分类问题,并从单智能体角度切入,给出了一种基于极端梯度提升(extreme gradient boosting,XGBoost)的多分类模型;之后,对于多智能体之间可能存在的合作行为,使用无监督学习的一种基于密度对噪声鲁棒的空间聚类算法(density-based spatial clustering of applications with noise,DBSCAN)对多智能体进行分簇,以促进协同合作.对于同簇智能体,构建了一种针对多智能体的多分类模型,完成对多智能体的目标预测.在获悉敌方目标后,提出基于博弈的围捕逼停算法,构建非合作动态博弈模型,通过求解纳什均衡得到应对敌方的最优策略.最后,通过仿真验证了所提出算法的有效性.
