# A categorical view at generalized concept lattices

Kybernetika (2007)

- Volume: 43, Issue: 2, page 255-264
- ISSN: 0023-5954

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topKrajči, Stanislav. "A categorical view at generalized concept lattices." Kybernetika 43.2 (2007): 255-264. <http://eudml.org/doc/33856>.

@article{Krajči2007,

abstract = {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.},

author = {Krajči, Stanislav},

journal = {Kybernetika},

keywords = {fuzzy concept lattice; Chu space; category theory; fuzzy concept lattice; Chu space; category theory},

language = {eng},

number = {2},

pages = {255-264},

publisher = {Institute of Information Theory and Automation AS CR},

title = {A categorical view at generalized concept lattices},

url = {http://eudml.org/doc/33856},

volume = {43},

year = {2007},

}

TY - JOUR

AU - Krajči, Stanislav

TI - A categorical view at generalized concept lattices

JO - Kybernetika

PY - 2007

PB - Institute of Information Theory and Automation AS CR

VL - 43

IS - 2

SP - 255

EP - 264

AB - 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.

LA - eng

KW - fuzzy concept lattice; Chu space; category theory; fuzzy concept lattice; Chu space; category theory

UR - http://eudml.org/doc/33856

ER -

## References

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