Isotone Galois Connections and Generalized One-Sided Concept Lattices
We provide an approach to one-sided (crisp-fuzzy) concept lattices based on isotone Galois connections. Isotone Galois connections and concept lattices provide an alternative to the classical, antitone Galois connections based concept lattices, which are fundamental structures in formal concept analysis of object-attribute models with many-valued attributes. Our approach is suitable for analysis of data tables with different structures for truth values of particular attributes. A possible applications of this approach for approximation of object subsets is also presented.
KeywordsIsotone Galois connection One-sided concept lattice Closure operator Interior operator Formal concept analysis
The first author was supported the Slovak VEGA grant no. 1/0493/16 and Slovak APVV grant no. APVV-16-0213. The second author was supported by the project of Grant Agency of the Czech Republic (GAČR) no. 18-06915S and by the Slovak Research and Development Agency under the contract no. APVV-16-0073. The third author was supported by the Slovak Research and Development Agency under the contract no. APVV-14-0892.
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