Quasi-closed elements in fuzzy posets

 

Abstract

We generalize the notion of quasi-closed element to fuzzy posets in two stages: First, in the crisp style in which each element in a given universe either is quasi-closed or not. Second, in the graded style by defining degrees to which an element is quasi-closed. We discuss the different possible definitions and comparing them with each other. Finally, we show that the most general one has good properties to be used when we have a complete fuzzy lattice as a frame.

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[OCC22] M. Ojeda-Hernández, I. P. Cabrera, and P. Cordero. “Quasi-closed elements in fuzzy posets”. In: Journal of Computational and Applied Mathematics 404 (2022). Cited by: 7; All Open Access, Green Open Access, Hybrid Gold Open Access. DOI: 10.1016/j.cam.2021.113390. URL: [https://www.scopus.com/inward/record.uri?eid=2-s2.0-85099666642&doi=10.1016

BibTeX

@article{Ojeda-Hernandez2022,
     Author = {Ojeda-Hern'andez, Manuel and Cabrera, Inma P. and Cordero, Pablo},
     Date-Modified = {2025-01-07 17:34:03 +0000},
     Doi = {10.1016/j.cam.2021.113390},
     Journal = {Journal of Computational and Applied Mathematics},
     Note = {Cited by: 7; All Open Access, Green Open Access, Hybrid Gold Open Access},
     Publication_Stage = {Final},
     Source = {Scopus},
     Title = {Quasi-closed elements in fuzzy posets},
     Type = {Article},
     Url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85099666642&doi=10.1016%2fj.cam.2021.113390&partnerID=40&md5=e8741144cb75e8fae12fa1c05b8271eb},
     Volume = {404},
     Year = {2022},
     Bdsk-Url-1 = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85099666642&doi=10.1016%2fj.cam.2021.113390&partnerID=40&md5=e8741144cb75e8fae12fa1c05b8271eb},
     Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.cam.2021.113390}
}

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4

CITATIONS

4 Total citations

1 Recent citation

5.06 Field Citation Ratio

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• Scopus - Citation Indexes: 7

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Cites

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Papers citing this work

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

[1] I. Chajda and H. Länger. “Implication in finite posets with pseudocomplemented sections”. In: Soft Computing 26.13 (Apr. 2022), p. 5945–5953. ISSN: 1433-7479. DOI: 10.1007/s00500-022-07052-5. URL: http://dx.doi.org/10.1007/s00500-022-07052-5.

[2] M. Ojeda-Hernandez, I. P. Cabrera, P. Cordero, et al. “On (fuzzy) closure systems in complete fuzzy lattices”. In: 2021 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, Jul. 2021, p. 1–6. DOI: 10.1109/fuzz45933.2021.9494404. URL: http://dx.doi.org/10.1109/fuzz45933.2021.9494404.

[3] M. Ojeda-Hernández, I. P. Cabrera, P. Cordero, et al. “Fuzzy closure systems: Motivation, definition and properties”. In: International Journal of Approximate Reasoning 148 (Sep. 2022), p. 151–161. ISSN: 0888-613X. DOI: 10.1016/j.ijar.2022.06.004. URL: http://dx.doi.org/10.1016/j.ijar.2022.06.004.

[4] M. Ojeda-Hernández, I. P. Cabrera, P. Cordero, et al. “On Pseudointents in Fuzzy Formal Concept Analysis”. In: Graph-Based Representation and Reasoning. Springer Nature Switzerland, 2023, p. 36–40. ISBN: 9783031409608. DOI: 10.1007/978-3-031-40960-8_4. URL: http://dx.doi.org/10.1007/978-3-031-40960-8_4.