Fuzzy sequential topology

• Ameziane Hassani, Rachid ^[1] ; Blali, Aziz ^[1] ; Razouki, Abdelhak ^[1] ; El Amrani, Abdelkhalek
  1. [1] Sidi Mohamed Ben Abdellah University.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 41, Nº. 6, 2022, págs. 1505-1521
• Idioma: inglés
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• Resumen

  • We define the sequential fuzzy closure and sequential fuzzy interior of fuzzy subsets of $ I^{X} $ by convergence of sequences of fuzzy points. We characterize the fuzzy sequential topology with the sequential fuzzy closure. Furthermore, we compare this topology with the usual fuzzy topology, and prove some basic properties of these concepts.