On Bonds for Generalized One-Sided Concept Lattices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F21%3A73609800" target="_blank" >RIV/61989592:15310/21:73609800 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2227-7390/9/3/211/htm" target="_blank" >https://www.mdpi.com/2227-7390/9/3/211/htm</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math9030211" target="_blank" >10.3390/math9030211</a>

Result language
angličtina
Original language name
On Bonds for Generalized One-Sided Concept Lattices
Original language description
The generalized one-sided concept lattices represent a generalization of the classical FCA method convenient for a hierarchical analysis of object-attribute models with different types of attributes. The mentioned types of object-attribute models are formalized within the theory as formal contexts of a certain type. The aim of this paper is to investigate some intercontextual relationships represented by the notion of bond. A composition of bonds is defined in order to introduce the category of formal contexts with bonds as morphisms. It is shown that there is a one-to-one correspondence between bonds and supremum preserving mappings between the corresponding generalized one-sided concept lattices. As the main theoretical result it is shown that the introduced category of formal contexts with bonds is equivalent to the category of complete lattices with supremum preserving mappings as morphisms.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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