具有策略偏好的模糊双矩阵对策模型及其应用  

Fuzzy Bimatrix Game Model with Strategy Preference and its Application

作　　者：王天虹[1] 瞿勇[1] 宋业新[1] 戴明强[1] 

机构地区：[1]海军工程大学理学院,武汉430033

出　　处：《火力与指挥控制》2011年第9期51-54,共4页Fire Control & Command Control

基　　金：国家自然科学基金(60774029);海军工程大学科研基金资助项目(HGDJJ08002)

摘　　要：针对局中人对策略有偏好、支付值模糊的双矩阵对策给出了一种具体的求解方法,首先根据加权算子集结得到局中人的策略偏好向量、利用模糊数排序方式将模型转化为清晰的双矩阵对策,再利用粒子群优化算法求解。最后以雷达电子对抗为例,建立了具有策略偏好的模糊双矩阵对策的作战效能评估模型,研究结果对于双方资源分配,提高作战效能具有一定的军事应用价值。A solving method for fuzzy bimatrix game with strategy preference is proposed in this paper.According to the OWA weighted composition operators, the strategy preference vectors of players are firstly calculated;and using a fuzzy ordering method,the fuzzy model is transformed into an explicit bimatrix game,the solution method based on particle swarm optimization is also given.The EW fighting effectiveness evaluation model of fuzzy bimatrix game is put forward.The study results do have the military application value for resource distribution and improving fighting effectiveness.

关 键 词：策略偏好 模糊双矩阵对策 粒子群优化算法 作战效能 

分 类 号：O225[理学—运筹学与控制论]