The Relationship Between Fuzzy Soft and Soft Topologies

Autor: Rodríguez Alcantud, José Carlos
Rok vydání: 2022
Předmět:
Zdroj: GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname
ISSN: 2199-3211
1562-2479
DOI: 10.1007/s40815-021-01225-4
Popis: [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.
Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. The author is grateful to the Junta de Castilla y León and the European Regional Development Fund (Grant CLU-2019-03) for the financial support to the Research Unit of Excellence “Economic Management for Sustainability” (GECOS).
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
Databáze: OpenAIRE
Externí odkaz: