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Título
The Relationship Between Fuzzy Soft and Soft Topologies
Autor(es)
Materia
Soft topology
Fuzzy soft topology
Topology
Separation axioms
Clasificación UNESCO
1210 Topología
Fecha de publicación
2022
Editor
Springerlink
Citación
Alcantud, J.C.R. (2022). The Relationship Between Fuzzy Soft and Soft Topologies. Int. J. Fuzzy Syst. 24, 1653–1668. https://doi.org/10.1007/s40815-021-01225-4
Resumen
[EN] This paper attempts to forward both soft topology and fuzzy soft topology with a pioneering analysis of their mutual relationships. With each soft topology we associate a parameterized family of fuzzy soft topologies called its t-pushes. And each fuzzy soft topology defines a parameterized family of soft topologies called its t-throwbacks. Different soft topologies produce different t-pushes. But we prove by example that not all fuzzy soft topologies are characterized by their t-throwbacks. The import of these constructions is that some properties stated in one setting can be investigated in the other setting. Our conclusions should fuel future research on both fuzzy soft topology and soft topology.
URI
ISSN
1562-2479
DOI
10.1007/s40815-021-01225-4
Versión del editor
Colecciones
- BORDA. Artículos [31]
Patrocinador
Publicación en abierto financiada por el Consorcio de Bibliotecas Universitarias de Castilla y León (BUCLE), con cargo al Programa Operativo 2014ES16RFOP009 FEDER 2014-2020 DE CASTILLA Y LEÓN, Actuación:20007-CL - Apoyo Consorcio BUCLE