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基于逻辑或的双量化粗糙集模型的计算分析与属性约简*

, PP. 778-786

Keywords: 粗糙集理论,变精度粗糙集,程度粗糙集,双量化,计算分析,属性约简

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Abstract:

双量化具有完备刻画粗糙集近似空间的重要功能,而精度与程度的逻辑或粗糙集模型则是一类基本的双量化扩张模型.针对该模型进行深入的计算分析,进而探讨其在近似空间中的属性约简.利用区域结构,分析计算公式,在此基础上构建宏观算法和结构算法,算法的分析和比较结果说明结构算法具有较好的计算复杂性.基于近似空间讨论关于4区保持的基本性质,提出区域保持的属性约简,得到经典定性约简的一类扩张量化约简.该研究为双量化粗糙集模型的优化计算与约简应用提供泛化思路.

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