Interval Rough Number Rough Set Model Under λ-Similarity Relation

doi:10.3778/j.issn.1002-8331.1903-0456

Computer Engineering and Applications ›› 2019, Vol. 55 ›› Issue (21): 46-51.DOI: 10.3778/j.issn.1002-8331.1903-0456

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Interval Rough Number Rough Set Model Under λ-Similarity Relation

CHENG Linhai, HE Yingying, ZHANG Yu, LV Yuejin

1.College of Electrical Engineering, Guangxi University, Nanning 530004, China
2.College of Mathematics and Information Science, Guangxi University, Nanning 530004, China
3.Lushan College, Guangxi University of Science and Technology, Liuzhou, Guangxi 545616, China

Online:2019-11-01 Published:2019-10-30

λ-相似关系下的区间粗糙数粗糙集模型

程林海，何莹莹，张玉，吕跃进

1.广西大学电气工程学院，南宁 530004
2.广西大学数学与信息科学学院，南宁 530004
3.广西科技大学鹿山学院，广西柳州 545616

Abstract

Abstract: Aiming at the limitation of classical rough set theory in dealing with interval rough number information system, an interval similarity rate is defined. Combining the interval similarity rate and introducing two parameters [α] and [β], the concept of interval rough number similarity is proposed. The concepts of [λ]-similarity relation and similarity class are given by introducing the parameter [λ] and combining the concept of interval rough similarity. The interval rough set model under [λ]-similarity relation is proposed. The relevant properties of the rough set model are studied and explained by an example.

Key words: rough set, interval rough number information system, similarity relation, interval similarity rate

摘要： 针对经典粗糙集理论在处理区间粗糙数信息系统时的局限性，定义了区间相似度。在此基础上，引入参数[α]和[β]，提出了区间粗糙数相似度的概念。引入参数[λ]，结合区间粗糙数相似度的概念给出了[λ]-相似关系及相似类的概念，进而提出了[λ]-相似关系下的区间粗糙数粗糙集模型。研究了该粗糙集模型的相关性质，并通过实例对其进行说明。

关键词: 粗糙集, 区间粗糙数信息系统, 相似关系, 区间相似度

CHENG Linhai, HE Yingying, ZHANG Yu, LV Yuejin. Interval Rough Number Rough Set Model Under λ-Similarity Relation[J]. Computer Engineering and Applications, 2019, 55(21): 46-51.

程林海，何莹莹，张玉，吕跃进. λ-相似关系下的区间粗糙数粗糙集模型[J]. 计算机工程与应用, 2019, 55(21): 46-51.

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Interval Rough Number Rough Set Model Under λ-Similarity Relation

λ-相似关系下的区间粗糙数粗糙集模型

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