Rough set theory applied to lattice theory

被引：67

作者：

Estaji, A. A. ^{[2
]}

Hooshmandasl, M. R. ^{[3
]}

Davvaz, B. ^{[1
]}

机构：

[1] Yazd Univ, Dept Math, Yazd, Iran

[2] Sabzevar Tarbiat Moallem Univ, Dept Math, Sabzevar, Iran

[3] Yazd Univ, Dept Comp Sci, Yazd, Iran

来源：

INFORMATION SCIENCES | 2012年 / 200卷

关键词：

Lattice; Approximation space; Rough set; Ideal; Filter; Lower and upper approximations; UPPER APPROXIMATIONS; IDEALS; OPERATORS;

D O I：

10.1016/j.ins.2012.02.060

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we intend to study a connection between rough sets and lattice theory. We introduce the concepts of upper and lower rough ideals (filters) in a lattice. Then, we offer some of their properties with regard to prime ideals (filters), the set of all fixed points, compact elements, and homomorphisms. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：108 / 122

页数：15

共 49 条

[1] Some constructions of the join of fuzzy subgroups and certain lattices of fuzzy subgroups with sup property [J].