CONVERGENCE CLASSES OF L-FILTERS IN L,M-FUZZY TOPOLOGICAL SPACES

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

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

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An L,M-fuzzy topological convergence structure altitude sunscreen 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 acupatch presented and the relationship with other convergence spaces is concretely constructed.

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