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粗糙集代数中的剩余格结构 被引量:2

Theory of Residual Lattices in Rough Sets Algebra
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摘要 讨论粗糙集代数与剩余格的关系。借助近似代数上的原子及同余关系,证明了在适当选取蕴涵算子及相应的剩余算子之后,粗糙集代数就成为剩余格,并进而证明了粗糙集代数也是MV代数与R0代数。 The relation between rough set algebra and residual lattice is congruence relations of approximation algebra, it is proved that rough set studied. Based on the atoms and algebra becomes proper implication and corresponding complement operators are selected; also rough set MV algebra and R0 algebra.
出处 《模糊系统与数学》 CSCD 北大核心 2008年第4期149-153,共5页 Fuzzy Systems and Mathematics
基金 国家自然科学基金资助项目(60474022)
关键词 粗糙集 粗糙集代数 剩余格 MV代数 R0代数 Rough Set Rough Set Algebra Residual Lattice MV Algebra R0 Algebra residual lattice if algebra becomes
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