基于核与灰度的灰色综合关联贴近度决策模型

Decision making model of grey comprehensive correlation and relative close degree based on kernel and greyness degree

针对指标值为区间灰数且权重属性部分已知、部分未知的决策问题,提出一种基于核与灰度的灰色关联综合贴近度的决策方法.首先,通过定义区间灰数的离散度和接近度,构造一个确定指标权重的多目标优化模型;然后,利用区间灰数的简化形式,求出方案与正、负理想方案核的关联度和灰度的关联度,进而计算出方案的综合关联度;最后,构建灰色综合关联贴近度模型并依综合关联贴近度大小对方案排序.算例分析验证了所提出方法的合理性和可行性.

According to the grey decision problem with the attribute＇s values of interval grey numbers and the attributes of weights that are partially known, a decision method of grey comprehensive closed to degree based on the kernel and the greyness degree of the interval grey numbers is proposed. Firstly, by defining the discrete and close degree of the interval grey number, the paper constructs a multi-objective optimization model and calculates the weight of each index. Then, by using the simplified form of the proposed interval grey number, the correlation degree of kernel and greyness between the scheme and the positive and negative ideal schemes is derived, the comprehensive correlation degree of the scheme is calculated. Finally, the model with gray comprehensive correlation and relative close degree is built, and the scheme is sorted according to the size of the comprehensive correlation degree. An example is given to illustrate the rationality and feasibility of the proposed method.