Fuzzy Bases and Fuzzy Subbases of the Fuzzy Topological Space on A Fuzzy Space \((X,I)\)

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DOI: https://doi.org/10.28924/2291-8639-24-2026-209
Published: Jul 6, 2026
Cite as:
Ibrahim Jawarneh, Nesreen Alsharman, Fuzzy Bases and Fuzzy Subbases of the Fuzzy Topological Space on A Fuzzy Space \((X,I)\), Int. J. Anal. Appl., 24 (2026), 209.

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Ibrahim Jawarneh, Nesreen Alsharman

Abstract

The fuzzy topological space was introduced by Dip in 1999, depending on the notion of the fuzzy space \(( X,I)\). In this paper, we reformulate the definitions of fuzzy space \((X,I)\), fuzzy point, interior, exterior, boundary, cluster and isolated points. Then we define the fuzzy bases and fuzzy subbases of the fuzzy topological space \(\big((X,I), \mathcal{T}\big)\) with theorems and examples.

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References

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