Fuzzy closure structures as formal concepts II

 

Abstract

This paper is the natural extension of Fuzzy Closure Structures as Formal Concepts. In this paper we take into consideration the concept of closure system which is not dealt with in the previous one. Hence, a connection must be found between fuzzy ordered sets and a crisp ordered set. This problem is two-fold, the core of the fuzzy orders can be considered in order to complete the ensemble, or the crisp order can be fuzzified. Both ways are studied in the paper. The most interesting result is, similarly to the previous paper, that closure systems are formal concepts of these Galois connections as well.

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Citation

Please, cite this work as:

[Her+23] M. Hernández, I. P. Cabrera, P. Cordero, et al. “Fuzzy closure structures as formal concepts II”. In: Fuzzy Sets and Systems 473 (2023). Cited by: 2; All Open Access, Green Open Access, Hybrid Gold Open Access. DOI: 10.1016/j.fss.2023.108734. URL: [https://www.scopus.com/inward/record.uri?eid=2-s2.0-85173012491&doi=10.1016

BibTeX

@article{Ojeda-Hernandez2023,
     Author = {Hern'andez, Manuel and Cabrera, Inma P. and Cordero, Pablo and Mu{~n}oz-Velasco, Emilio},
     Doi = {10.1016/j.fss.2023.108734},
     Journal = {Fuzzy Sets and Systems},
     Note = {Cited by: 2; All Open Access, Green Open Access, Hybrid Gold Open Access},
     Publication_Stage = {Final},
     Source = {Scopus},
     Title = {Fuzzy closure structures as formal concepts II},
     Type = {Article},
     Url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85173012491&doi=10.1016%2fj.fss.2023.108734&partnerID=40&md5=fc32c575cc11bc26c7969e3f76c6ed3c},
     Volume = {473},
     Year = {2023},
     Bdsk-Url-1 = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85173012491&doi=10.1016%2fj.fss.2023.108734&partnerID=40&md5=fc32c575cc11bc26c7969e3f76c6ed3c},
     Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.fss.2023.108734}
}

Bibliometric data

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4

CITATIONS

4 Total citations

4 Recent citations

4.25 Field Citation Ratio

n/a Relative Citation Ratio

• Citations
• Scopus - Citation Indexes: 3

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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] P. Cordero, M. Enciso, Á. Mora, et al. “Attribute implications with unknown information based on weak Heyting algebras”. In: Fuzzy Sets and Systems 490 (Aug. 2024), p. 109026. ISSN: 0165-0114. DOI: 10.1016/j.fss.2024.109026. URL: http://dx.doi.org/10.1016/j.fss.2024.109026.

[2] L. Li and Q. Jin. “A novel axiomatic approach to L-valued rough sets within an L-universe via inner product and outer product of L-subsets”. In: International Journal of Approximate Reasoning 181 (Jun. 2025), p. 109416. ISSN: 0888-613X. DOI: 10.1016/j.ijar.2025.109416. URL: http://dx.doi.org/10.1016/j.ijar.2025.109416.

[3] M. Ojeda-Hernández, I. P. Cabrera, P. Cordero, et al. “On the Commutative Diagrams Among Galois Connections Involved in Closure Structures”. In: Formal Concept Analysis. Springer Nature Switzerland, 2023, p. 49–63. ISBN: 9783031359491. DOI: 10.1007/978-3-031-35949-1_4. URL: http://dx.doi.org/10.1007/978-3-031-35949-1_4.

[4] F. J. Talavera, C. Bejines, S. Ardanza-Trevijano, et al. “Aggregation of fuzzy graphs”. In: International Journal of Approximate Reasoning 172 (Sep. 2024), p. 109243. ISSN: 0888-613X. DOI: 10.1016/j.ijar.2024.109243. URL: http://dx.doi.org/10.1016/j.ijar.2024.109243.