L-ideals and rough sets based on L-ideals

被引：0
|
作者：
Ali Akbar Estaji
Toktam Haghdadi
Javad Farokhi Ostad
机构：
[1] Hakim Sabzevari University,Faculty of Mathematics and Computer Sciences
[2] Birjand University of Technology,Department of Basic Sciences
来源：
Knowledge and Information Systems | 2021年 / 63卷
关键词：
Rough set; Distributive Lattice; Frame; -ideals; Upper and Lower approximation; 06D72; 06B10; 06D22;
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学科分类号：
摘要：
Let D be a distributive lattice, and let L be a frame. In this article, we introduce the notion of L-ideals of D. We show that the set of all L-ideals of D is a distributive lattice, and some essential properties of this lattice are studied. Also, we discuss some special elements of this lattice. Moreover, we define a novel congruence relation for the concept of L-ideal of D. Finally, we study some properties of rough sets inherited from the congruence relation.
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页码：647 / 673
页数：26
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