Similarity relations in concept lattices

被引:81
作者
Belohlávek, R
机构
[1] Univ Ostrava, Inst Res & Applicat Fuzzy Modeling, CZ-70103 Ostrava, Czech Republic
[2] Tech Univ Ostrava, Dept Comp Sci, CS-70833 Ostrava, Czech Republic
关键词
concept; similarity; fuzzy logic; residuated lattice; concept lattice; tolerance;
D O I
10.1093/logcom/10.6.823
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper studies the issue of similarity relations in fuzzy concept lattices. Fuzzy concepts and fuzzy concept lattices represent a formal approach to the modelling of non-sharp (fuzzy) concepts and conceptual structures in the sense of traditional (Port-Royal) logic. Applications of concept lattices are in representation of conceptual knowledge and in conceptual analysis of (fuzzy) data. Similarity relations are defined and considered on three levels: similarity of objects (and similarity of attributes), similarity of concepts, and similarity of concept lattices. We show a way to factorize (simplify) concept lattices by the similarity of concepts. Also shown is how to reduce the computation of the similarity relations.
引用
收藏
页码:823 / 845
页数:23
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