一个具有可调变权能力的变权向量  

A variable weights vector with adjustable capability to change weights

作　　者：成波[1,2] 刘三阳[1] 

机构地区：[1]西安电子科技大学理学院,西安710071 [2]安康学院数学系,陕西安康725000

出　　处：《控制与决策》2012年第1期82-86,共5页Control and Decision

基　　金：国家自然科学基金项目(60974082)

摘　　要：依据变权向量的定义构造一个带参数的变权向量,并证明了变权向量与状态变权向量的关系定理;通过引入变权向量的相对调节度概念,求出了所构造的变权向量的相对调节度,并分析了其变权效果.最后运用该变权向量求解一个算例,所得结果表明,该变权向量不但具有较强的变权能力,而且其变权能力将随参数取值的改变而变化.A variable weight vector with parameters is constructed by using its definition. A theorem for the relationship of a variable weight vector and its state variable weight is proved. By introducing a concept of, relative adjustment degree, the capability of a variable weight vector is measured to change weights. The relative adjustment degree Of the variable weight vector is calculated, and its capability to chang weights is analyzed. Finally, an example is solved by using the variable weight vector. The result shows that not only the variable weight vector has strong capability to adjust weights, but also its capability to adjust weights changes when the value of the parameter is adjusted.

关 键 词：多目标决策 变权综合 变权向量 状态变权向量 相对调节度 

分 类 号：O159[理学—数学]