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}
}