Geodesic
A categorical view at generalized concept lattices
Kybernetika, Tome 43 (2007) no. 2, pp. 255-264.

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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.
Classification : 03G10, 06D72, 18D35, 68T30
Keywords: fuzzy concept lattice; Chu space; category theory 
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     author = {Kraj\v{c}i, Stanislav},
     title = {A categorical view at generalized concept lattices},
     journal = {Kybernetika},
     pages = {255--264},
     publisher = {mathdoc},
     volume = {43},
     number = {2},
     year = {2007},
     mrnumber = {2343400},
     zbl = {1132.06300},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2007__43_2_a11/}
}
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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/