A categorical view at generalized concept lattices

Stanislav Krajči

Kybernetika (2007)

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

Abstract

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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.

How to cite

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Krajči, 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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