具有模糊偏好认知矩阵的超对策稳定性分析  

Hypergame stability analysis with fuzzy preference perception matrix

作　　者：崔焰[1] 宋业新[1] 

机构地区：[1]海军工程大学理学院,武汉430033

出　　处：《海军工程大学学报》2007年第6期103-107,112,共6页Journal of Naval University of Engineering

基　　金：国家自然科学基金资助项目(70471031;60774029);海军工程大学科研基金资助项目(HGDJJ06004)

摘　　要：针对一类具有模糊偏好认知矩阵的超对策问题,给出了具体的稳定性分析方法。基于相对模糊距离的概念和模糊有序加权平均(FOWA)算子提出了三角模糊互补判断矩阵的一种排序方法。由此方法得到局中人的结局偏好认知向量,进而给出了一阶超对策的稳定性分析过程。最后,以实际冲突为例说明这一方法。This paper presents a specific stability analysis method for a kind of hypergame situation with fuzzy preference perception matrix. A priority method was proposed of triangular fuzzy number complementary judgment matrix based on a fuzzy ordered and weighted average （FOWA） aggregation operator and the concept of relative fuzzy distance measure was proposed. The plays′ outcome prefer- ence perception vector was obtained though this method, and then the process of first- level hyper- game stability analysis given. Finally, a real world conflict was analyzed as an example to illustrate the proposed method.

关 键 词：超对策 模糊偏好认知矩阵 稳定性分析 

分 类 号：O225[理学—运筹学与控制论]