Fuzzy closure relations

 

Abstract

The concept of closure operator is key in several branches of mathematics. In this paper, closure operators are extended to relational structures, more specifically to fuzzy relations in the framework of complete fuzzy lattices. The core of the work is the search for a suitable definition of (strong) fuzzy closure relation, that is, a fuzzy relation whose relation with fuzzy closure systems is one-to-one. The study of the properties of fuzzy closure systems and fuzzy relations helps narrow down this exploration until an appropriate definition is settled.

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Citation

Please, cite this work as:

[Oje+22] M. Ojeda-Hernandez, I. P. Cabrera, P. Cordero, et al. “Fuzzy closure relations”. In: Fuzzy Sets and Systems 450 (2022). Cited by: 3; All Open Access, Green Open Access, Hybrid Gold Open Access, pp. 118 - 132. DOI: 10.1016/j.fss.2022.05.016. URL: [https://www.scopus.com/inward/record.uri?eid=2-s2.0-85131416314&doi=10.1016

BibTeX

@article{Ojeda-Hernandez2022118,
     Author = {Ojeda-Hernandez, Manuel and Cabrera, Inma P. and Cordero, Pablo and Mu{~n}oz-Velasco, Emilio},
     Doi = {10.1016/j.fss.2022.05.016},
     Journal = {Fuzzy Sets and Systems},
     Note = {Cited by: 3; All Open Access, Green Open Access, Hybrid Gold Open Access},
     Pages = {118 – 132},
     Publication_Stage = {Final},
     Source = {Scopus},
     Title = {Fuzzy closure relations},
     Type = {Article},
     Url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85131416314&doi=10.1016%2fj.fss.2022.05.016&partnerID=40&md5=62334dfb2251d49373dcb9c0d75693d5},
     Volume = {450},
     Year = {2022},
     Bdsk-Url-1 = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85131416314&doi=10.1016%2fj.fss.2022.05.016&partnerID=40&md5=62334dfb2251d49373dcb9c0d75693d5},
     Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.fss.2022.05.016}
}

Bibliometric data

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3

CITATIONS

3 Total citations

3 Recent citations

1.21 Field Citation Ratio

n/a Relative Citation Ratio

• Citations
• CrossRef - Citation Indexes: 1
• Scopus - Citation Indexes: 3

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• Mendeley - Readers: 4

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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] M. Nesibe Kesicioğlu and E. Kürkçü Çakar. “Closure operators constructed by logical operations on bounded lattices”. In: Fuzzy Sets and Systems 484 (May. 2024), p. 108945. ISSN: 0165-0114. DOI: 10.1016/j.fss.2024.108945. URL: http://dx.doi.org/10.1016/j.fss.2024.108945.

[2] M. Ojeda-Hernández, I. P. Cabrera, P. Cordero, et al. “Fuzzy closure structures as formal concepts”. In: Fuzzy Sets and Systems 463 (Jul. 2023), p. 108458. ISSN: 0165-0114. DOI: 10.1016/j.fss.2022.12.014. URL: http://dx.doi.org/10.1016/j.fss.2022.12.014.

[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.