L-ideals and rough sets based on L-ideals

被引：0

作者：

Estaji, Ali Akbar ^{[1
]}

Haghdadi, Toktam ^{[2
]}

Farokhi Ostad, Javad ^{[2
]}

机构：

[1] Hakim Sabzevari Univ, Fac Math & Comp Sci, Sabzevar, Iran

[2] Birjand Univ Technol, Dept Basic Sci, Birjand, Iran

来源：

KNOWLEDGE AND INFORMATION SYSTEMS | 2021年 / 63卷 / 03期

关键词：

Rough set; Distributive Lattice; Frame; L-ideals; Upper and Lower approximation;

D O I：

10.1007/s10115-020-01529-1

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

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.

引用

页码：647 / 673

页数：27

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