Journal
KNOWLEDGE-BASED SYSTEMS
Volume 91, Issue -, Pages 143-151Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.knosys.2015.08.006
Keywords
Three-way concept lattices; Three-way concepts; Three-way decisions; Formal concept analysis; Concept lattices
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Funding
- National Natural Science Foundation of China [11371014, 11071281]
- Natural Science Basic Research Plan in Shaanxi Province of China [2014JM8306]
- State Scholarship Fund of China
- NSERC, Canada
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The model of three-way concept lattices, a novel model for widely used three-way decisions, is an extension of classical concept lattices in formal concept analysis. This paper systematically analyses the connections between two types of three-way concept lattices (object-induced and attribute-induced three-way concept lattices) and classical concept lattices. The relationships are discussed from the viewpoints of elements, sets and orders, respectively. Furthermore, the necessary and sufficient conditions used to construct three-way concepts on the basis of classical concepts are proved, the algorithms building three-way concept lattices on the basis of classical concept lattices are presented. The obtained results are finally demonstrated and verified by examples. (C) 2015 Elsevier B.V. All rights reserved.
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