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A categorical view at generalized concept lattices
Kybernetika, Tome 43 (2007) no. 2, pp. 255-264 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We continue in the direction of the ideas from the Zhang’s paper [Z] about a relationship between Chu spaces and Formal Concept Analysis. We modify this categorical point of view at a classical concept lattice to a generalized concept lattice (in the sense of Krajči [K1]): We define generalized Chu spaces and show that they together with (a special type of) their morphisms form a category. Moreover we define corresponding modifications of the image / inverse image operator and show their commutativity properties with mapping defining generalized concept lattice as fuzzifications of Zhang’s ones.
We continue in the direction of the ideas from the Zhang’s paper [Z] about a relationship between Chu spaces and Formal Concept Analysis. We modify this categorical point of view at a classical concept lattice to a generalized concept lattice (in the sense of Krajči [K1]): We define generalized Chu spaces and show that they together with (a special type of) their morphisms form a category. Moreover we define corresponding modifications of the image / inverse image operator and show their commutativity properties with mapping defining generalized concept lattice as fuzzifications of Zhang’s ones.
Classification : 03G10, 06D72, 18D35, 68T30
Keywords: fuzzy concept lattice; Chu space; category theory 
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     title = {A categorical view at generalized concept lattices},
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Krajči, Stanislav. A categorical view at generalized concept lattices. Kybernetika, Tome 43 (2007) no. 2, pp. 255-264. http://geodesic.mathdoc.fr/item/KYB_2007_43_2_a11/

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