一种栅格图层的模糊叠置分析模型

A Fuzzy Overlay Analysis Model for Raster Map Layers

为了更好地进行GIS空间分析 ,根据GIS应用领域中属性数据的区间值特征 ,首先利用区间值模糊集来描述模糊属性数据的模糊图层 ,然后基于区间值模糊集给出了一种栅格图层的模糊叠置分析模型 ,并改进了基于经典模糊集的模糊叠置分析方法。该模型利用区间值模糊集的基本运算 ,可以实现普通模糊叠置和加权模糊叠置 ,而采用区间值 ,则可以减少属性值模糊性的丢失 ,且叠置结果符合人们的认知和推理规律 ,实例结果表明 ,该模型能够较好地解决区间值属性图层间的模糊叠置分析问题。

Spatial overlay analysis is an important problem of spatial data analysis. Sometimes spatial data are fuzzy in Geography Information Systems and spatial database, so fuzzy overlay analysis has gained more and more attention from researchers during the recent years. Based on the interval value character of the attributes in GIS applications, the fuzzy map layers of fuzzy attribute data were described as interval valued fuzzy sets. Then an overlay analysis model of fuzzy raster map layers is proposed based on interval valued fuzzy sets. It improves the original fuzzy overlay analysis model, which based on classical fuzzy sets. With the basic operations of interval valued fuzzy sets the model can complete general fuzzy overlay and weighted fuzzy overlay. The weighted fuzzy overlay model will degenerate to general fuzzy overlay when the weights of fuzzy map layers are equal. The fuzzy overlay model can reduce the losing of attribute fuzziness through using interval value to represent the fuzziness, and the fuzzy overlay result accord with the cognitive and reasoning principle of people. The result of the instance shows that this model can well solve fuzzy overlay analysis between the map layers of interval value attributes.