Rough ideals in lattices

被引:10
作者
Xiao, Qimei [1 ,2 ]
Li, Qingguo [1 ]
Zhou, Xiangnan [1 ]
机构
[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
[2] Changsha Univ Sci & Technol, Sch Math & Comp Sci, Changsha 410004, Hunan, Peoples R China
基金
美国国家科学基金会;
关键词
Rough set; Lattice; Rough ideals; Homomorphism; UPPER APPROXIMATIONS; ALGEBRAIC STRUCTURES; SETS; SYSTEMS; RINGS;
D O I
10.1007/s00521-011-0801-5
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we consider a relationship between rough sets and lattice theory. The related properties of rough subsets of lattices are investigated. We introduce the notion of rough ideals which is a generalized notion of ideals of a lattice, and some properties and homomorphism of such ideals are discussed.
引用
收藏
页码:S245 / S253
页数:9
相关论文
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