Tolerance-based multigranulation rough sets in incomplete systems

Tolerance-based multigranulation rough sets in incomplete systems
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DOI:
10.1007/s11704-014-3141-7
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发表时间:
2014-07
影响因子:
4.2
通讯作者:
Zaiyue Zhang;Xibei Yang
Zaiyue Zhang;Xibei Yang
中科院分区:
计算机科学3区
文献类型:
--
作者:
Zaiyue Zhang;Xibei Yang

文献摘要

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目前,多颗粒的概念已经引起了我们的注意。本文将多粒度技术引入不完备信息系统中。利用容差关系和最大相容块构造多粒粗糙集。不仅研究了这些模型的基本性质,而且探讨了不同多粒粗糙集之间的关系。结果表明,利用最大相容块可以得到更大的下近似和与容差关系相同的上近似。这一结果与单颗粒骨架的结果是一致的。
Presently, the notion of multigranulation has been brought to our attention. In this paper, the multigranulation technique is introduced into incomplete information systems. Both tolerance relations and maximal consistent blocks are used to construct multigranulation rough sets. Not only are the basic properties about these models studied, but also the relationships between different multigranulation rough sets are explored. It is shown that by using maximal consistent blocks, the greater lower approximation and the same upper approximation as from tolerance relations can be obtained. Such a result is consistent with that of a single-granulation framework.