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Representing continuous spatial variation of geographic phenomena using fuzzy logic

机译:使用模糊逻辑表示地理现象的连续空间变化

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摘要

Variation of geographical phenomena is often gradual and continuous over space. A discreet model based on Boolean logic has been used to portray (map) this gradual and continuous spatial variation. Due to the limitation of this discreet model spatial variation of geographic phenomena is portrayed by discreet and distinct spatial units, and changes only occur at the boundaries of these units. As a result, the gradual and continuous nature of geographical phenomena is not retained in this discreet model. This paper presents a fuzzy logic based model (referred to as a similarity model). The model consists of two components: a fuzzy representation of geographic phenomena in the attribute domain and a raster representation in the spatial domain. With the use of fuzzy logic and raster representation a given geographic phenomenon is perceived as a continuum in both the attribute and spatial domains. A case study conducted in the area of soil survey shows that spatial variation of soils was better represented under the similarity model than under the discreet model. It was also found that information retained under the similarity model allows the quantification of uncertainty when one chooses to harden the similarity information into the conventional Boolean representation.
机译:地理现象的变异通常是逐渐和连续的空间。基于布尔逻辑的谨慎模型已用于描绘(Map)这种逐渐和连续的空间变化。由于这种谨慎模型的谨慎模型,地理现象的空间变化由谨慎和不同的空间单元描绘,并且仅发生在这些单元的边界处。因此,地理现象的逐步和持续性不会保留在这种谨慎的模型中。本文介绍了基于模糊的逻辑模型(称为相似性模型)。该模型由两个组件组成:属性域中的地理现象的模糊表示和空间域中的光栅表示。通过使用模糊逻辑和光栅表示,给定的地理现象被认为是属性和空间域中的连续体。在土壤调查领域进行了一个案例研究表明,在相似性模型下,土壤的空间变化比在谨慎模型下更好。还发现,在相似之柴中保留的信息允许在选择将相似性信息硬化为传统布尔表示时的不确定性来定量不确定性。

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