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商空间合成技术

, PP. 1115-1120

Keywords: 商空间理论,合成,逆商拓扑

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Abstract:

商空间理论是粒度计算的3种主要方法之一,其合成技术研究的内容是探寻商空间与原空间的关系,目的是将复杂的问题简化,降低计算复杂性。论域合成旨在粒度变化,根据不同需要可进行细粒化和粗粒化。拓扑结构是商空间理论中独有的结构,其合成也有多种形式,除最细合成拓扑及半序结构的合成外,文中给出相对于最细合成拓扑的最粗合成拓扑,及基于逆商拓扑概念的逆商关系拓扑合成。拓扑的合成反映不同结构之间的关系。属性函数的合成意义在于形成不同等价关系下的论域,与论域的形成关系密切。这些研究扩充商空间合成技术的基础理论,使其更完善。

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