Filter with its applications in fuzzy soft topological spaces

Rui Gao; Jianrong Wu; Rui Gao; Jianrong Wu

doi:10.3934/math.2021143

AIMS Mathematics

2021, Volume 6, Issue 3: 2359-2368. doi: 10.3934/math.2021143

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Research article

Filter with its applications in fuzzy soft topological spaces

Rui Gao ,
Jianrong Wu ^,

College of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, P. R. China

Received: 02 October 2020 Accepted: 04 December 2020 Published: 17 December 2020
MSC : 54A40, 54A20, 54A05

In this paper, we introduce the convergence of a fuzzy soft filter with the help of the Q-neighborhoods and study the relations between fuzzy soft nets and fuzzy soft filters. In addition, we use fuzzy soft filters to characterize some basic concepts of a fuzzy soft topological space, such as open sets, closure, T₂ separation and continuity.
- fuzzy soft set,
- fuzzy soft topology,
- fuzzy soft net,
- fuzzy soft filter,
- convergence
Citation: Rui Gao, Jianrong Wu. Filter with its applications in fuzzy soft topological spaces[J]. AIMS Mathematics, 2021, 6(3): 2359-2368. doi: 10.3934/math.2021143

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Abstract

In this paper, we introduce the convergence of a fuzzy soft filter with the help of the Q-neighborhoods and study the relations between fuzzy soft nets and fuzzy soft filters. In addition, we use fuzzy soft filters to characterize some basic concepts of a fuzzy soft topological space, such as open sets, closure, T₂ separation and continuity.

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