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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Citation

Please, cite this work as:

[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}
}