Roughness in hemirings

被引：39

作者：

Ali, Muhammad Irfan ^{[1
]}

Shabir, Muhammad ^{[2
]}

Tanveer, Samina ^{[3
]}

机构：

[1] COMSATS Inst Informat Technol, Attock, Pakistan

[2] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan

[3] FG Coll Women F 7 2, Dept Math, Islamabad, Pakistan

来源：

NEURAL COMPUTING & APPLICATIONS | 2012年 / 21卷

关键词：

Rough sets; Semirings; Hemirings; Ideals; k-ideals; h-ideals; IDEALS; APPROXIMATIONS; SETS;

D O I：

10.1007/s00521-011-0757-5

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Theory of rough sets is an important tool in data mining. In this paper, we are initiating the study of roughness in hemirings with respect to the Pawlak approximation space and also with respect to the generalized approximation space. Lower and upper rough sub-hemirings and ideals are studied. Lower and upper approximations of k-ideals and h-ideals of a hemiring are discussed.

引用

页码：S171 / S180

页数：10

共 30 条

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Biswas R, 1994, B POL ACAD SCI, V42

[2] Extensions and intentions in the rough set theory [J].