Relational fuzzy Galois connections

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Published

1 January 2017

Publication details

Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems, {IFSA-SCIS} 2017, Otsu, Japan, June 27-30, 2017 , pages 1–6.

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Abstract

We propose a suitable generalization of the notion of Galois connection whose components are fuzzy relations. We prove that the construction embeds Yao’s notion of fuzzy Galois connection as a particular case. Although the natural framework for the proposed notion is that of fuzzy preposets, we also prove that it behaves properly with respect to the formation of quotient with respect to the fuzzy symmetric kernel relation.

Citation

Please, cite this work as:

[CCO17] I. P. Cabrera, P. Cordero, and M. Ojeda-Aciego. “Relational fuzzy Galois connections”. In: Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems, IFSA-SCIS 2017, Otsu, Japan, June 27-30, 2017. IEEE, 2017, pp. 1-6. DOI: 10.1109/IFSA-SCIS.2017.8023288. URL: https://doi.org/10.1109/IFSA-SCIS.2017.8023288.

BibTeX

@InProceedings{Cabrera2017b,
     author = {Inma P. Cabrera and Pablo Cordero and Manuel Ojeda-Aciego},
     booktitle = {Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems, {IFSA-SCIS} 2017, Otsu, Japan, June 27-30, 2017},
     title = {Relational fuzzy Galois connections},
     year = {2017},
     pages = {1–6},
     publisher = {{IEEE}},
     bibsource = {dblp computer science bibliography, https://dblp.org},
     biburl = {https://dblp.org/rec/conf/ifsa/CabreraCO17.bib},
     doi = {10.1109/IFSA-SCIS.2017.8023288},
     timestamp = {Wed, 16 Oct 2019 14:14:50 +0200},
     url = {https://doi.org/10.1109/IFSA-SCIS.2017.8023288},
}

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