Journal
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
Volume 96, Issue -, Pages 57-77Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ijar.2018.03.004
Keywords
L-fuzzy covering; L-fuzzy rough set; Residuated lattice; Matrix representation
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Funding
- National Natural Science Foundation of China [11571010, 61179038]
- National Water Pollution Control and Treatment Science and Technology Major Project of China [2017ZX07108-001]
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In this paper, we study the matrix representations and interdependency of three pairs of L-fuzzy covering-based approximation operators. Matrices play an important role in machine learning and data mining, such as the Laplacian matrix of a graph in clustering analysis and matrix linear transformation in feature selection based on principle component analysis. Therefore, the matrix representations of the three pairs of L-fuzzy covering-based approximation operators are important problems which should be solved. Moreover, we give some necessary and sufficient conditions under which two L-fuzzy coverings to generate the same L-fuzzy covering-based approximation operators. (C) 2018 Elsevier Inc. All rights reserved.
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