经济区划时确定中心城市模糊模式识别模型

Study on fuzzy recognition model of center city in area layout

依据经济区划时“中心城市”概念的模糊性,按区域范围内全体城市样本对于各标准模式间的加权广义欧氏距离平方和最小建立目标函数,提出确定中心城市的模糊模式识别模型。提出客观确定多目标指标权重的模糊决策分析法,通过确定指标对模糊概念“重要性”的相对隶属度来确定目标权重,避免了权重确定的主观性。计算实例表明,建立的模型物理意义明确,模式识别结果符合实际。

Based on the fact that the center city in area layout is fuzzy concept, we transfer the objective value matrix of all samples to a normalized matrix. By the objective function to minimize the sum of least squares of weighted general weighted distances between all samples and all cluster centers, a language function is constructed. This paper gives a fuzzy recognition model of center city in area layout. To obtain a reasonable multi-objective weight, a new method of fuzzy decision analysis is established. By the new method, the multi-objective can be calculated practically. And finally, a case study is given. By the case study, we can find that the model is very rational and effective.