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Relational Galois connections between transitive digraphs: Characterization and construction

(2020) Information Sciences. 519. p.439-450
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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

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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.
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.
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.
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.
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://dx.doi.org/10.1016/j.ins.2020.01.034}},
  volume       = {{519}},
  year         = {{2020}},
}

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