Optimal decompositions of matrices with grades into binary and graded matrices

DOI10.1007/s10472-010-9185-yzbMath1213.68598OpenAlexW1968470406MaRDI QIDQ2430346

Eduard Bartl, Jan Konecny, Radim Bělohlávek

Publication date: 6 April 2011

Published in: Annals of Mathematics and Artificial Intelligence (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10472-010-9185-y

zbMATH Keywords

fuzzy logicfactor analysisformal concept analysismatrix decomposition

Mathematics Subject Classification ID

Factorization of matrices (15A23) Fuzzy logic; logic of vagueness (03B52) Knowledge representation (68T30) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (6)

Exploring users' preferences in a fuzzy setting ⋮ Heterogeneous formal context and its decomposition by heterogeneous fuzzy subsets ⋮ Parameterized low-rank binary matrix approximation ⋮ Parameterized Low-Rank Binary Matrix Approximation ⋮ Low-Rank Binary Matrix Approximation in Column-Sum Norm. ⋮ Factor analysis of ordinal data via decomposition of matrices with grades

Uses Software

• BMDP

Cites Work

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• Discovery of optimal factors in binary data via a novel method of matrix decomposition
• A mathematical analysis of human leukocyte antigen serology
• Metamathematics of fuzzy logic
• Concept lattices and order in fuzzy logic
• Factor Analysis of Incidence Data via Novel Decomposition of Matrices

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