On the Existence of Isotone Galois Connections between Preorders

 

Abstract

Citation

Please, cite this work as:

[Gar+14] F. Garc'-Pardo, I. P. Cabrera, P. Cordero, et al. “On the Existence of Isotone Galois Connections between Preorders”. In: Formal Concept Analysis - 12th International Conference, ICFCA 2014, Cluj-Napoca, Romania, June 10-13, 2014. Proceedings. Ed. by C. V. Glodeanu, M. Kaytoue and C. Sacarea. Vol. 8478. Lecture Notes in Computer Science. Springer, 2014, pp. 67-79. DOI: 10.1007/978-3-319-07248-7_6. URL: https://doi.org/10.1007/978-3-319-07248-7_6.

BibTeX

@InProceedings{GarciaPardo2014a,
     author = {Francisca Garc'-Pardo and Inma P. Cabrera and Pablo Cordero and Manuel Ojeda-Aciego and Francisco J. Rodr'-Sanchez},
     booktitle = {Formal Concept Analysis - 12th International Conference, {ICFCA} 2014, Cluj-Napoca, Romania, June 10-13, 2014. Proceedings},
     title = {On the Existence of Isotone Galois Connections between Preorders},
     year = {2014},
     editor = {Cynthia Vera Glodeanu and Mehdi Kaytoue and Christian Sacarea},
     pages = {67–79},
     publisher = {Springer},
     series = {Lecture Notes in Computer Science},
     volume = {8478},
     bibsource = {dblp computer science bibliography, https://dblp.org},
     biburl = {https://dblp.org/rec/conf/icfca/Garcia-PardoCCOR14.bib},
     doi = {10.1007/978-3-319-07248-7_6},
     timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
     url = {https://doi.org/10.1007/978-3-319-07248-7_6},
}

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On the Existence of Isotone Galois Connections between Preorders

Cites

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Papers citing this work

The following is a non-exhaustive list of papers that cite this work:

[1] I. P. Cabrera, P. Cordero, E. Muñoz-Velasco, et al. “A Relational Extension of Galois Connections”. In: Formal Concept Analysis. Springer International Publishing, 2019, p. 290–303. ISBN: 9783030214623. DOI: 10.1007/978-3-030-21462-3_19. URL: http://dx.doi.org/10.1007/978-3-030-21462-3_19.

[2] I. P. Cabrera, P. Cordero, E. Muñoz-Velasco, et al. “Towards fuzzy relational Galois connections between fuzzy T-digraphs”. In: Proceedings of the 2019 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (EUSFLAT 2019). eusflat-19. Atlantis Press, 2019. DOI: 10.2991/eusflat-19.2019.112. URL: http://dx.doi.org/10.2991/eusflat-19.2019.112.

[3] I. P. Cabrera, P. Cordero, E. Muñoz‐Velasco, et al. “Relational Galois connections between transitive fuzzy digraphs”. In: Mathematical Methods in the Applied Sciences 43.9 (Feb. 2020), p. 5673–5680. ISSN: 1099-1476. DOI: 10.1002/mma.6302. URL: http://dx.doi.org/10.1002/mma.6302.

[4] I. Cabrera, P. Cordero, F. García-Pardo, et al. “On the construction of adjunctions between a fuzzy preposet and an unstructured set”. In: Fuzzy Sets and Systems 320 (Aug. 2017), p. 81–92. ISSN: 0165-0114. DOI: 10.1016/j.fss.2016.09.013. URL: http://dx.doi.org/10.1016/j.fss.2016.09.013.

[5] I. Cabrera, P. Cordero, E. Muñoz-Velasco, et al. “Fuzzy relational Galois connections between fuzzy transitive digraphs”. In: Fuzzy Sets and Systems 463 (Jul. 2023), p. 108456. ISSN: 0165-0114. DOI: 10.1016/j.fss.2022.12.012. URL: http://dx.doi.org/10.1016/j.fss.2022.12.012.

[6] F. García-Pardo, I. P. Cabrera, P. Cordero, et al. “On Adjunctions between Fuzzy Preordered Sets: Necessary Conditions”. In: Rough Sets and Current Trends in Soft Computing. Springer International Publishing, 2014, p. 211–221. ISBN: 9783319086446. DOI: 10.1007/978-3-319-08644-6_22. URL: http://dx.doi.org/10.1007/978-3-319-08644-6_22.

[7] F. Garcia-Pardo, I. Cabrera, P. Cordero, et al. “On Fuzzy Preordered Sets and Monotone Galois Connections”. In: 2015 IEEE Symposium Series on Computational Intelligence. IEEE, Dec. 2015, p. 990–994. DOI: 10.1109/ssci.2015.144. URL: http://dx.doi.org/10.1109/ssci.2015.144.