Relational Galois connections between transitive fuzzy digraphs

 

Abstract

Fuzzy-directed graphs are often chosen as the data structure to model and implement solutions to several problems in the applied sciences. Galois connections have also shown to be useful both in theoretical and in practical problems.

In this paper, the notion of relational Galois connection is extended to be applied between transitive fuzzy directed graphs. In this framework, the components of the connection are crisp relations satisfying certain reasonable properties given in terms of the so-called full powering.

Funding

Projects funding this work

Citation

Please, cite this work as:

[Cab+20] I. P. Cabrera, P. Cordero, E. Muñoz-Velasco, et al. “Relational Galois connections between transitive fuzzy digraphs”. In: Mathematical Methods in the Applied Sciences 43.9 (2020). Cited by: 8, p. 5673 – 5680. DOI: 10.1002/mma.6302. URL: [https://www.scopus.com/inward/record.uri?eid=2-s2.0-85084927857&doi=10.1002

BibTeX

@ARTICLE{Cabrera20205673,
     author = {Cabrera, Inma P. and Cordero, Pablo and Muñoz-Velasco, Emilio and Ojeda-Aciego, Manuel and De Baets, Bernard},
     title = {Relational Galois connections between transitive fuzzy digraphs},
     year = {2020},
     journal = {Mathematical Methods in the Applied Sciences},
     volume = {43},
     number = {9},
     pages = {5673 – 5680},
     doi = {10.1002/mma.6302},
     url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85084927857&doi=10.1002%2fmma.6302&partnerID=40&md5=f62ecd3bbabdb3af560c55aac0694690},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     note = {Cited by: 8}
}