Convergence Classes of L-Filters in L,M-Fuzzy Topological Spaces

Ting Yang, Sheng-Gang Li, William Zhu, Xiao-Fei Yang, Ahmed Mostafa Khalil and Kenan Yildirim

Journal of Mathematics, 2021, vol. 2021, 1-10

Abstract: An L,M-fuzzy topological convergence structure on a set X is a mapping which defines a degree in M for any L-filter (of crisp degree) on X to be convergent to a molecule in LX. By means of L,M-fuzzy topological neighborhood operators, we show that the category of L,M-fuzzy topological convergence spaces is isomorphic to the category of L,M-fuzzy topological spaces. Moreover, two characterizations of L-topological spaces are presented and the relationship with other convergence spaces is concretely constructed.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8246173

DOI: 10.1155/2021/8246173

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