基于熵权和区间灰数信息的灰色聚类模型

摘要

There are some problems in determining the index weight in the model of grey clustering for in-terval grey numbers.According to the definition of entropy,the method of grey entropy-weight is proposed to determine the index weight,thus the corresponding algorithm is conducted.In the grey clustering model based on the entropy and interval grey numbers,the index weight is given by calculating the grey entropy on the basis of the grey numbers’information.Finally,a practical example is presented and studied.The results show the better distinction degree of the normalized matrix with clustering coefficients,which can illustrate the effective-ness and the practicality of the proposed model.%针对区间灰数的灰色聚类模型中指标权重确定的问题，借鉴信息熵的思想，引入灰色熵权确定指标权重，构造了基于熵权和区间灰数信息的聚类评估算法。该算法以区间灰数本身的信息为依据通过计算灰熵来得到聚类指标权重。最后以实际问题为背景进行算例研究，结果表明由所提算法所得的归一化聚类系数矩阵区分度更好，验证了所提算法的有效性和可行性。