Fuzzy concept lattice construction: A basis for building fuzzy ontologies

Fuzzy concept lattices are being used as the basis for creating fuzzy ontologies. Fuzzy formal contexts serve as the starting point for which a variety of proposed methods have been used to create fuzzy concept lattices from them. This paper reviews two of these methods: the one-sided threshold approach and the fuzzy closure operator approach and presents the first comparison between these two approaches. Some simple examples are used and then bioinformatics data, specifically several gene annotation data files. The results show that the fuzzy closure approach produces huge numbers of concepts as compared to the threshold approach, and the extents produced by the threshold approach are a subset of the extents produced by the fuzzy closure approach.

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