灰色异构数据信息下的随机多准则决策方法

Stochastic multiple criteria decision-making method with grey heterogeneous data information

针对准则值为灰色异构数据的随机多准则决策问题,提出一种基于核和灰度的灰色随机多准则决策方法.首先给出扩展灰数的灰度和灰色异构数据集的定义;然后,遵循信息充分利用原则,结合灰色异构数据共有的特性,定义灰色异构数据的核向量和灰度向量,进而构造一致性系数几何平面模长排序法和相对折衷距离排序法.实例分析表明了所提出方法的有效性和合理性.

A grey stochastic multiple criteria decision-making method based on the kernel and degree of greyness of grey heterogeneous data is proposed for the stochastic multiple criteria decision problem with criterion value as grey heterogeneous data. The definitions of greyness of the extended grey number and grey heterogeneous data sets are given. Then, the kernel vector and greyness vector of grey heterogeneous data are defined according to the principle of information utilization and combining with the common characteristics of grey heterogeneous data. Furthermore, the consistency coefficient geometric plane die length sorting method and the relative compromise distance sorting method are constructed. An illustrative example illustrates the effectiveness and rationality of the proposed approach.