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Relational Galois connections between transitive fuzzy digraphs

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Abstract
Fuzzy-directed graphs are often chosen as the data structure to model and implement solutions to several problems in the applied sciences. Galois connections have also shown to be useful both in theoretical and in practical problems. In this paper, the notion of relational Galois connection is extended to be applied between transitive fuzzy directed graphs. In this framework, the components of the connection are crisp relations satisfying certain reasonable properties given in terms of the so-called full powering.
Keywords
closure operators. fuzzy digraph. Galois correspondences. relational systems

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Citation

Please use this url to cite or link to this publication:

MLA
Cabrera, Inma P., et al. “Relational Galois Connections between Transitive Fuzzy Digraphs.” Mathematical Methods in the Applied Sciences, vol. 43, no. 9, Wiley, 2020, pp. 5673–80.
APA
Cabrera, I. P., Cordero, P., Munoz-Velasco, E., Ojeda-Aciego, M., & De Baets, B. (2020). Relational Galois connections between transitive fuzzy digraphs. Mathematical Methods in the Applied Sciences, 43(9), 5673–5680.
Chicago author-date
Cabrera, Inma P., Pablo Cordero, Emilio Munoz-Velasco, Manuel Ojeda-Aciego, and Bernard De Baets. 2020. “Relational Galois Connections between Transitive Fuzzy Digraphs.” Mathematical Methods in the Applied Sciences 43 (9): 5673–80.
Chicago author-date (all authors)
Cabrera, Inma P., Pablo Cordero, Emilio Munoz-Velasco, Manuel Ojeda-Aciego, and Bernard De Baets. 2020. “Relational Galois Connections between Transitive Fuzzy Digraphs.” Mathematical Methods in the Applied Sciences 43 (9): 5673–5680.
Vancouver
1.
Cabrera IP, Cordero P, Munoz-Velasco E, Ojeda-Aciego M, De Baets B. Relational Galois connections between transitive fuzzy digraphs. Mathematical Methods in the Applied Sciences. 2020;43(9):5673–80.
IEEE
[1]
I. P. Cabrera, P. Cordero, E. Munoz-Velasco, M. Ojeda-Aciego, and B. De Baets, “Relational Galois connections between transitive fuzzy digraphs,” Mathematical Methods in the Applied Sciences, vol. 43, no. 9, pp. 5673–5680, 2020.
@article{8655821,
  abstract     = {Fuzzy-directed graphs are often chosen as the data structure to model and implement solutions to several problems in the applied sciences. Galois connections have also shown to be useful both in theoretical and in practical problems. In this paper, the notion of relational Galois connection is extended to be applied between transitive fuzzy directed graphs. In this framework, the components of the connection are crisp relations satisfying certain reasonable properties given in terms of the so-called full powering.},
  author       = {Cabrera, Inma P. and Cordero, Pablo and Munoz-Velasco, Emilio and Ojeda-Aciego, Manuel and De Baets, Bernard},
  issn         = {0170-4214},
  journal      = {Mathematical Methods in the Applied Sciences},
  keywords     = {closure operators. fuzzy digraph. Galois correspondences. relational systems},
  language     = {eng},
  number       = {9},
  pages        = {5673--5680},
  publisher    = {Wiley},
  title        = {Relational Galois connections between transitive fuzzy digraphs},
  url          = {http://dx.doi.org/10.1002/mma.6302},
  volume       = {43},
  year         = {2020},
}

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