中文摘要：

传统的空间聚类方法难于脱离＂硬划分＂的束缚,且不能有效描述空间对象的复杂特征。一维云模型无法准确反映现实世界的多属性特征,简单的数据融合丢失了空间对象的必要信息。标准二维云模型克服了一维云的不足,但是在模拟复杂地理现象的非齐性和非对称性方面显得捉襟见肘。基于以上考虑,提出了广义多维云模型,以分段特性来体现空间对象的综合特征,并推导出模型的数学表达式。在实证研究的基础上,从空间聚类的隶属程度空间分布特征、与模糊C均值的对比研究及与住宅地价的耦合分析三个视角,详实解读了聚类结果。分析发现,广义多维云模型更能体现空间对象的综合特征,空间聚类结果能够反映出空间分布的潜在信息,更为准确的实现了复杂情况下的空间划分。该模型在刻画地理现象中更为合理,但由于地理实体的空间作用极其复杂,建立模型是一项既具体又充满挑战的任务。

英文摘要：

Traditional spatial clustering methods can not avoid the disadvantage of ＂hardware division＂, and can not describe the physical characteristics of spatial entity effectively.One-dimensional cloud model can not accurately reflect multi-attribute characteristics of the real-world.Besides, essential information of spatial objects might be lost during procedure of simple fusion.Standard two-dimensional cloud model overcomes some shortcomings of one-dimensional cloud, but it still can not meet the needs of simulating the non-homogeneous and non-symmetry characteristics of complex geographical phenomena.In view of the above, this paper sets forth a general multi-dimensional cloud model, which describes the characteristics of spatial objects more reasonably.Based on the empirical research, a detailed interpretation of clustering results is made from the spatial distribution of membership degree of clustering, the comparative study of Fuzzy C-means and a coupled analysis of residential land prices.It is found that general multi-dimensional cloud model can reflect the integrated characteristics of spatial objects better, reveal the spatial distribution of potential information, and realize spatial division more accurately in complex circumstances.However, due to the complexity of spatial interactions among geographical entities, the construction of cloud model is a specific and challenging task.