期刊
INFORMATION SCIENCES
卷 378, 期 -, 页码 317-327出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2016.03.018
关键词
Attribute reduction; Concept lattice; Formal concept analysis; Galois connection
资金
- National Natural Science Foundation of China [61173181, 61272021, 61363056]
- National Social Science Foundation of China [14XXW004]
- Humanities and Social Science funds Project of Ministry of Education of China [11XJJAZH001]
- Fundamental Research Funds for the Central Universities
- open project of Key Laboratory of Oceanographic Big Data Mining & Application of Zhejiang Province [OBDMA201504]
In this paper, we present a new pair of adjoint mappings between a power set and the direct product of complete lattices. The proposed pair of adjoint mappings form a GaloiS connection and the corresponding concept lattice is constructed from a generalized onesided formal context. We also propose a lattice-keep-based attribute reduction approach for generalized one-sided formal contexts. Specifically, we present concrete judgment theorems and an algorithm to calculate the attribute reducts in generalized one-sided formal contexts. Furthermore, according to the importance of attributes, we discuss attributive characteristics for the proposed generalized one-sided concept lattice. (C) 2016 Elsevier Inc. All rights reserved.
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