基于核与灰度的区间灰数多属性群决策方法

针对属性值为区间灰数且专家权重未知、属性权重部分已知的不确定多属性群决策问题,提出了一种基于区间灰数的核和灰度的决策方法。给出了区间灰数的基于核和灰度的简化形式,充分利用区间灰数的核和灰度的信息建立优化模型求得属性的权重。在求出属性权重的基础上,运用灰色关联方法分别求取各专家的核与灰度距理想方案值的关联系数,综合两者得到专家权重,最终综合专家意见并对方案比较排序得出最优结果。鉴于此,提出一种基于区间灰数相对核与灰度的决策方法。最后以一个算例验证该方法的有效性和可行性。

Multi-attribute Group Decision Making Model Based on Kernel and Degree of Greyness of Interval Grey Numbers

In view of the multi-objective group decision problem that the attribute values are interval grey numbers and the weights of experts unknown,the attribute weights partially known,the multi-objective decision-making method based on the kernel and the degree of greyness of the interval grey numbers is proposed. Simplified formation of Interval grey Numbers is given based on kernel and degree of greyness. The optimization model based on the kernel and the degree of greyness of the interval grey numbers is set up and the attribute weights can be solved. The schemes are aggregates with attribute weights. To calculate the grey correlation coefficient separately of the kernel and the degree of greyness of the interval grey numbers and combine both of them ,then the weights of experts can be obtained. Aggregate the expert opinion and compare the scores of schemes,the best scheme can be chosen. Based on this,a kind of Multi-attribute decision making model is put forward. Based on the kernel and the degree of greyness of the interval grey numbers .Finally,a numerical example to verify the feasibility and effectiveness of the method.