基于指数函数的灰色动态多属性关联决策模型

针对同一属性下不同方案的邓氏关联度大小区分较弱以及关联度存在下限的问题, 定义基于指数函数的新关联度. 改进后的关联度对同一属性下不同方案间关联度的分辨率要高于原有关联度, 并证明了改进关联度的性质.利用指数关联度确定属性权重, 构造基于偏差和灰熵的确定了时间权重的优化模型. 最后, 将该方法用于河南省某地级市民营企业的经营业绩评价分析中, 实例说明了所提出模型的有效性和实用性.

Grey dynamic multiple attribute correlation decision-making model based on exponential function

According to size distinguish weak and existing lower limit of the Deng’s grey correlation degree of different schemes under the same attribute, a new correlation degree based on the exponential function is defined. The resolution of the improved correlation degree of different schemes under the same attribute is higher than that of the original correlation, and the properties of the improved correlation degree is proved. The attribute weights are determined by the exponential correlation degree, and a optimization model can be built to solve the time weight based on the deviation and grey entropy. Finally, the proposed method is used to analysis and evaluation of operating performance of private enterprises in the Henan province of a prefecture level city, and the result shows the its feasibility and effectiveness.