Relational Galois connections between transitive digraphs: Characterization and construction
- Author
- Inma P. Cabrera, Pablo Cordero, Emilio Muñoz-Velasco, Manuel Ojeda-Aciego and Bernard De Baets (UGent)
- Organization
- Abstract
- ThispaperfocusesonatwofoldrelationalgeneralizationofthenotionofGaloisconnec-tion.Itistwofoldbecauseitisdefinedbetweensetsendowedwitharbitrarytransitiverelationsand,moreover,bothcomponentsoftheconnectionarerelations,notnecessar-ilyfunctions.AcharacterizationtheoremofthenotionofrelationalGaloisconnectionisprovidedand,then,itisprovedthatasuitablenotionofclosurecanbeobtainedwithinthisframework.Finally,westateanecessaryandsufficientconditionthatallowstobuildarelationalGaloisconnectionstartingfromasingletransitivedigraphandasinglebinaryrelation.
- Keywords
- Control and Systems Engineering, Theoretical Computer Science, Software, Information Systems and Management, Artificial Intelligence, Computer Science Applications
Downloads
-
(...).pdf
- full text (Published version)
- |
- UGent only
- |
- |
- 972.78 KB
Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8660967
- MLA
- Cabrera, Inma P., et al. “Relational Galois Connections between Transitive Digraphs: Characterization and Construction.” Information Sciences, vol. 519, ELSEVIER SCIENCE INC, 2020, pp. 439–50, doi:10.1016/j.ins.2020.01.034.
- APA
- Cabrera, I. P., Cordero, P., Muñoz-Velasco, E., Ojeda-Aciego, M., & De Baets, B. (2020). Relational Galois connections between transitive digraphs: Characterization and construction. Information Sciences, 519, 439–450. https://doi.org/10.1016/j.ins.2020.01.034
- Chicago author-date
- Cabrera, Inma P., Pablo Cordero, Emilio Muñoz-Velasco, Manuel Ojeda-Aciego, and Bernard De Baets. 2020. “Relational Galois Connections between Transitive Digraphs: Characterization and Construction.” Information Sciences 519: 439–50. https://doi.org/10.1016/j.ins.2020.01.034.
- Chicago author-date (all authors)
- Cabrera, Inma P., Pablo Cordero, Emilio Muñoz-Velasco, Manuel Ojeda-Aciego, and Bernard De Baets. 2020. “Relational Galois Connections between Transitive Digraphs: Characterization and Construction.” Information Sciences 519: 439–450. doi:10.1016/j.ins.2020.01.034.
- Vancouver
- 1.Cabrera IP, Cordero P, Muñoz-Velasco E, Ojeda-Aciego M, De Baets B. Relational Galois connections between transitive digraphs: Characterization and construction. Information Sciences. 2020;519:439–50.
- IEEE
- [1]I. P. Cabrera, P. Cordero, E. Muñoz-Velasco, M. Ojeda-Aciego, and B. De Baets, “Relational Galois connections between transitive digraphs: Characterization and construction,” Information Sciences, vol. 519, pp. 439–450, 2020.
@article{8660967,
abstract = {{ThispaperfocusesonatwofoldrelationalgeneralizationofthenotionofGaloisconnec-tion.Itistwofoldbecauseitisdefinedbetweensetsendowedwitharbitrarytransitiverelationsand,moreover,bothcomponentsoftheconnectionarerelations,notnecessar-ilyfunctions.AcharacterizationtheoremofthenotionofrelationalGaloisconnectionisprovidedand,then,itisprovedthatasuitablenotionofclosurecanbeobtainedwithinthisframework.Finally,westateanecessaryandsufficientconditionthatallowstobuildarelationalGaloisconnectionstartingfromasingletransitivedigraphandasinglebinaryrelation.}},
author = {{Cabrera, Inma P. and Cordero, Pablo and Muñoz-Velasco, Emilio and Ojeda-Aciego, Manuel and De Baets, Bernard}},
issn = {{0020-0255}},
journal = {{Information Sciences}},
keywords = {{Control and Systems Engineering,Theoretical Computer Science,Software,Information Systems and Management,Artificial Intelligence,Computer Science Applications}},
language = {{eng}},
pages = {{439--450}},
publisher = {{ELSEVIER SCIENCE INC}},
title = {{Relational Galois connections between transitive digraphs: Characterization and construction}},
url = {{http://doi.org/10.1016/j.ins.2020.01.034}},
volume = {{519}},
year = {{2020}},
}
- Altmetric
- View in Altmetric
- Web of Science
- Times cited: