Fuzzy relational Galois connections between fuzzy transitive digraphs
- Author
- I.P. Cabrera, P. Cordero, E. Muñoz-Velasco, M. Ojeda-Aciego and Bernard De Baets (UGent)
- Organization
- Project
- Abstract
- We present a fuzzy version of the notion of relational Galois connection between fuzzy transitive directed graphs (fuzzy T-digraphs) on the specific setting in which the underlying algebra of truth values is a complete Heyting algebra. The components of such fuzzy Galois connection are fuzzy relations satisfying certain reasonable properties expressed in terms of the so-called full powering. Moreover, we provide a necessary and sufficient condition under which it is possible to construct a right adjoint for given fuzzy relation between a fuzzy T-digraph and an unstructured set.
- Keywords
- Artificial Intelligence, Logic, Galois connection, Fuzzy transitive digraph, ADJUNCTIONS
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01H39D59KF764VQVNJPCARMYYX
- MLA
- Cabrera, I. P., et al. “Fuzzy Relational Galois Connections between Fuzzy Transitive Digraphs.” FUZZY SETS AND SYSTEMS, vol. 463, 2023, doi:10.1016/j.fss.2022.12.012.
- APA
- Cabrera, I. P., Cordero, P., Muñoz-Velasco, E., Ojeda-Aciego, M., & De Baets, B. (2023). Fuzzy relational Galois connections between fuzzy transitive digraphs. FUZZY SETS AND SYSTEMS, 463. https://doi.org/10.1016/j.fss.2022.12.012
- Chicago author-date
- Cabrera, I.P., P. Cordero, E. Muñoz-Velasco, M. Ojeda-Aciego, and Bernard De Baets. 2023. “Fuzzy Relational Galois Connections between Fuzzy Transitive Digraphs.” FUZZY SETS AND SYSTEMS 463. https://doi.org/10.1016/j.fss.2022.12.012.
- Chicago author-date (all authors)
- Cabrera, I.P., P. Cordero, E. Muñoz-Velasco, M. Ojeda-Aciego, and Bernard De Baets. 2023. “Fuzzy Relational Galois Connections between Fuzzy Transitive Digraphs.” FUZZY SETS AND SYSTEMS 463. doi:10.1016/j.fss.2022.12.012.
- Vancouver
- 1.Cabrera IP, Cordero P, Muñoz-Velasco E, Ojeda-Aciego M, De Baets B. Fuzzy relational Galois connections between fuzzy transitive digraphs. FUZZY SETS AND SYSTEMS. 2023;463.
- IEEE
- [1]I. P. Cabrera, P. Cordero, E. Muñoz-Velasco, M. Ojeda-Aciego, and B. De Baets, “Fuzzy relational Galois connections between fuzzy transitive digraphs,” FUZZY SETS AND SYSTEMS, vol. 463, 2023.
@article{01H39D59KF764VQVNJPCARMYYX,
abstract = {{We present a fuzzy version of the notion of relational Galois connection between fuzzy transitive directed graphs (fuzzy T-digraphs) on the specific setting in which the underlying algebra of truth values is a complete Heyting algebra. The components of such fuzzy Galois connection are fuzzy relations satisfying certain reasonable properties expressed in terms of the so-called full powering. Moreover, we provide a necessary and sufficient condition under which it is possible to construct a right adjoint for given fuzzy relation between a fuzzy T-digraph and an unstructured set.}},
articleno = {{108456}},
author = {{Cabrera, I.P. and Cordero, P. and Muñoz-Velasco, E. and Ojeda-Aciego, M. and De Baets, Bernard}},
issn = {{0165-0114}},
journal = {{FUZZY SETS AND SYSTEMS}},
keywords = {{Artificial Intelligence,Logic,Galois connection,Fuzzy transitive digraph,ADJUNCTIONS}},
language = {{eng}},
pages = {{21}},
title = {{Fuzzy relational Galois connections between fuzzy transitive digraphs}},
url = {{http://doi.org/10.1016/j.fss.2022.12.012}},
volume = {{463}},
year = {{2023}},
}
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