A Definition of Structured Rough Set Approximations
A Definition of Structured Rough Set Approximations
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DOI：
10.1007/978-3-319-08729-0_10
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发表时间：
2014-07
期刊：
影响因子：
--
通讯作者：
Yiyu Yao;Mengjun Hu
中科院分区：
文献类型：
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作者：
Yiyu Yao;Mengjun Hu
Pawlak下近似和上近似是等价类的并集。通过显式地表达个别等价类的近似，Bryniarski使用一对家庭的等价类粗糙集近似。虽然后者考虑了近似的结构信息，但它没有得到应有的重视。本文的主要目的是进一步探讨Bryniarski定义，并提出了一个广义的结构粗糙集近似的定义，通过使用一个家庭的合取可定义的集合。覆盖为基础的粗糙集和Grzymala-Busse的LERS系统的连接进行了研究。
Pawlak lower and upper approximations are unions of equivalence classes. By explicitly expressing individual equivalence classes in the approximations, Bryniarski uses a pair of families of equivalence classes as rough set approximations. Although the latter takes into consideration of structural information of the approximations, it has not received its due attention. The main objective of this paper is to further explore the Bryniarski definition and propose a generalized definition of structured rough set approximations by using a family of conjunctively definable sets. The connections to covering-based rough sets and Grzymala-Busse’s LERS systems are investigated.