On fuzzy relations, adjunctions, and functional fuzzy relations

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Authors

Inma P. Cabrera

Pablo Cordero

Manuel Ojeda-Aciego

Published

1 January 2016

Publication details

2016 {IEEE} Symposium Series on Computational Intelligence, {SSCI} 2016, Athens, Greece, December 6-9, 2016 , pages 1–7.

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Abstract

The problem of studying when a given a fuzzy relation can be characterized in terms of a fuzzy function is revisited. Although several authors have published works on the `functionality’ of a fuzzy relation, we focus on a particular version which, to the best of our knowledge, fits better for the definition of adjunction between generalized fuzzy structures.

Citation

Please, cite this work as:

[CCO16] I. P. Cabrera, P. Cordero, and M. Ojeda-Aciego. “On fuzzy relations, adjunctions, and functional fuzzy relations”. In: 2016 IEEE Symposium Series on Computational Intelligence, SSCI 2016, Athens, Greece, December 6-9, 2016. IEEE, 2016, pp. 1-7. DOI: 10.1109/SSCI.2016.7850149. URL: https://doi.org/10.1109/SSCI.2016.7850149.

@InProceedings{Cabrera2016a,
     author = {Inma P. Cabrera and Pablo Cordero and Manuel Ojeda-Aciego},
     booktitle = {2016 {IEEE} Symposium Series on Computational Intelligence, {SSCI} 2016, Athens, Greece, December 6-9, 2016},
     title = {On fuzzy relations, adjunctions, and functional fuzzy relations},
     year = {2016},
     pages = {1–7},
     publisher = {{IEEE}},
     bibsource = {dblp computer science bibliography, https://dblp.org},
     biburl = {https://dblp.org/rec/conf/ssci/CabreraCO16.bib},
     doi = {10.1109/SSCI.2016.7850149},
     timestamp = {Wed, 16 Oct 2019 14:14:56 +0200},
     url = {https://doi.org/10.1109/SSCI.2016.7850149},
}

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On fuzzy relations, adjunctions, and functional fuzzy relations

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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, and M. Ojeda-Aciego. “Towards relational fuzzy adjunctions”. In: 2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, Jul. 2017, p. 1–5. DOI: 10.1109/fuzz-ieee.2017.8015677. URL: http://dx.doi.org/10.1109/fuzz-ieee.2017.8015677.

[2] I. Cabrera, P. Cordero, and M. Ojeda-Aciego. “Galois connections in computational intelligence: A short survey”. In: 2017 IEEE Symposium Series on Computational Intelligence (SSCI). IEEE, Nov. 2017, p. 1–7. DOI: 10.1109/ssci.2017.8285310. URL: http://dx.doi.org/10.1109/ssci.2017.8285310.