新型灰色接近关联模型及其拓展

针对接近灰色关联模型的一些不足,提出了新型灰色接近关联模型和基于面板数据的灰色接近关联模型.基于接近性特点,构建了反映折线拟合程度的相对面积,以此定义新型灰色接近关联系数,得到接近关联度模型.同时将序列映射方法拓展到三维空间,提出灰色网格概念,依据相同原理得到基于面板数据的灰色接近关联模型.最后利用模型对沿海8市经济发展水平进行评价,取得良好效果,验证了模型的有效性和实用性.

New grey nearness incidence model and its extension

For some deficiency of the grey nearness incidence model, the new grey nearness incidence model and the grey nearness incidence model based on panel data are presented. Relying on the foundation of the characteristics of nearness, the relative area that reflects the fitting extent of the polygonal line is constructed, based on which the new grey nearness incidence coefficient is defined, and the grey nearness incidence model is obtained. Meanwhile, the sequence mapping method is extended into the three-dimensional space, thus the grey grid concept is proposed, on the basis of the same theory, the grey nearness incidence model based on panel data is presented. Finally, an application with the proposed model to evaluate the economic development level of coastal eight cities is illustrated to demonstrate the effectiveness and practical applicability of the model owing to its good result.