Set approximations in fuzzy formal concept analysis

被引：62
作者：
Shao, Ming-Wen [1 ]
Liu, Min
Zhang, Wen-Xiu
机构：
[1] Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China
[2] Jiangxi Univ Finance & Econ, Fac Informat Technol, Nanchang 330013, Jiangxi, Peoples R China
[3] Xi An Jiao Tong Univ, Fac Sci, Xian 710049, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2007年 / 158卷 / 23期
基金：
中国国家自然科学基金;
关键词：
concept lattice; formal concept analysis; rough set; lower approximation; upper approximation; fuzzy rough sets;
D O I：
10.1016/j.fss.2007.05.002
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Formal concept analysis and rough set theory are two important tools in knowledge representation and knowledge discovery in relational information systems. The purpose of this paper is to study rough set approximations within formal concept analysis in fuzzy environment. Properties of existent fuzzy concept lattices derived from an adjoint pair of operations are first reviewed and examined. Based on both lattice-theoretic and fuzzy set-theoretic operators, two new pairs of rough fuzzy set approximations within fuzzy formal contexts are then defined. Finally, properties of the rough fuzzy set approximation operators are presented in detail. (C) 2007 Elsevier B.V All rights reserved.
引用
收藏
页码：2627 / 2640
页数：14
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