Fuzzy closure structures as formal concepts

 

Abstract

Galois connections seem to be ubiquitous in mathematics. They have been used to model solutions for both pure and application-oriented problems. Throughout the paper, the general framework is a complete fuzzy lattice over a complete residuated lattice. The existence of three fuzzy Galois connections (two antitone and one isotone) between three specific ordered sets is proved in this paper. The most interesting part is that fuzzy closure systems, fuzzy closure operators and strong fuzzy closure relations are formal concepts of these fuzzy Galois connections.

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Citation

Please, cite this work as:

[Oje+23] M. Ojeda-Hernández, I. P. Cabrera, P. Cordero, et al. “Fuzzy closure structures as formal concepts”. In: Fuzzy Sets and Systems 463 (2023). Cited by: 6; All Open Access, Green Open Access, Hybrid Gold Open Access. DOI: 10.1016/j.fss.2022.12.014. URL: [https://www.scopus.com/inward/record.uri?eid=2-s2.0-85145982725&doi=10.1016

BibTeX

@ARTICLE{Ojeda-Hernández2023,
     author = {Ojeda-Hernández, Manuel and Cabrera, Inma P. and Cordero, Pablo and Muñoz-Velasco, Emilio},
     title = {Fuzzy closure structures as formal concepts},
     year = {2023},
     journal = {Fuzzy Sets and Systems},
     volume = {463},
     doi = {10.1016/j.fss.2022.12.014},
     url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85145982725&doi=10.1016%2fj.fss.2022.12.014&partnerID=40&md5=4b37584d1536d8a88466d1dbb3d70b10},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     note = {Cited by: 6; All Open Access, Green Open Access, Hybrid Gold Open Access}
}