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
  • [1] [Anonymous], 2009, HDB ONTOLOGIES, DOI [10.1007/978-3-540-92673-3, DOI 10.1007/978-3-540-92673-3_]
  • [2] [Anonymous], INT J COMPU IN PRESS
  • [3] [Anonymous], THESIS FEDERAL U MIN
  • [4] [Anonymous], 2011, CLA
  • [5] Generating a catalog of unanticipated schemas in class hierarchies using Formal Concept Analysis
    Arevalo, Gabriela
    Ducasse, Stephane
    Gordillo, Silvia
    Nierstrasz, Oscar
    [J]. INFORMATION AND SOFTWARE TECHNOLOGY, 2010, 52 (11) : 1167 - 1187
  • [6] Belohlavek R, 2011, LECT NOTES ARTIF INT, V6628, P65, DOI 10.1007/978-3-642-20514-9_7
  • [7] Discovery of optimal factors in binary data via a novel method of matrix decomposition
    Belohlavek, Radim
    Vychodil, Vilem
    [J]. JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 2010, 76 (01) : 3 - 20
  • [8] Belohlavek R, 2009, LECT NOTES ARTIF INT, V5548, P83
  • [9] Formal Concept Analysis With Background Knowledge: Attribute Priorities
    Belohlavek, Radim
    Vychodil, Vilem
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART C-APPLICATIONS AND REVIEWS, 2009, 39 (04): : 399 - 409
  • [10] Subtractive clustering for seeding non-negative matrix factorizations
    Casalino, Gabriella
    Del Buono, Nicoletta
    Mencar, Corrado
    [J]. INFORMATION SCIENCES, 2014, 257 : 369 - 387