Knowledge reduction in formal contexts using non-negative matrix factorization

被引:68
作者
Kumar, Ch. Aswani [1 ]
Dias, Sergio M. [2 ,3 ]
Vieira, Newton J. [2 ]
机构
[1] VIT Univ, Sch Informat Technol & Engn, Vellore 632014, Tamil Nadu, India
[2] Univ Fed Minas Gerais, Dept Comp Sci, BR-31270901 Belo Horizonte, MG, Brazil
[3] Fed Serv Data Proc SERPRO, BR-31035536 Belo Horizonte, MG, Brazil
关键词
Concept lattice; Formal concept analysis; Knowledge reduction; Non-negative matrix factorization; Singular value decomposition; CONCEPT LATTICE REDUCTION; COMPLEXITY REDUCTION; RULE ACQUISITION; REPRESENTATION; JBOS;
D O I
10.1016/j.matcom.2014.08.004
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Formal Concept Analysis (FCA) is a mathematical framework that offers conceptual data analysis and knowledge discovery. One of the main issues of knowledge discovery is knowledge reduction. The objective of this paper is to investigate the knowledge reduction in FCA and propose a method based on Non-Negative Matrix Factorization (NMF) for addressing the issue. Experiments on real world and benchmark datasets offer the evidence for the performance of the proposed method. (C) 2014 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:46 / 63
页数:18
相关论文
共 60 条
[21]  
Ganter B., 1998, APPL LATTICE THEORY
[22]  
Glodeanu CV, 2011, LECT NOTES ARTIF INT, V6628, P107, DOI 10.1007/978-3-642-20514-9_10
[23]  
Homer V., 2007, THESIS U PRETORIA
[24]  
Kumar CA, 2011, COMM COM INF SC, V157, P31
[25]  
Kumar CA, 2014, ADV COMPU INTELL ROB, P306, DOI 10.4018/978-1-4666-4936-1.ch011
[26]   Designing role-based access control using formal concept analysis [J].
Kumar, Ch. Aswani .
SECURITY AND COMMUNICATION NETWORKS, 2013, 6 (03) :373-383
[27]   FUZZY CLUSTERING-BASED FORMAL CONCEPT ANALYSIS FOR ASSOCIATION RULES MINING [J].
Kumar, Ch. Aswani .
APPLIED ARTIFICIAL INTELLIGENCE, 2012, 26 (03) :274-301
[28]   MINING ASSOCIATIONS IN HEALTH CARE DATA USING FORMAL CONCEPT ANALYSIS AND SINGULAR VALUE DECOMPOSITION [J].
Kumar, Ch Aswani ;
Srinivas, S. .
JOURNAL OF BIOLOGICAL SYSTEMS, 2010, 18 (04) :787-807
[29]   Concept lattice reduction using fuzzy K-Means clustering [J].
Kumar, Ch. Aswani ;
Srinivas, S. .
EXPERT SYSTEMS WITH APPLICATIONS, 2010, 37 (03) :2696-2704
[30]   KNOWLEDGE DISCOVERY IN DATA USING FORMAL CONCEPT ANALYSIS AND RANDOM PROJECTIONS [J].
Kumar, Cherukuri Aswani .
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2011, 21 (04) :745-756