In this paper, we introduce a new class of fuzzy sets, namely, fuzzy ψ*-closed sets for fuzzy topological spaces, and some of their properties have been proved. Further, we introduce fuzzy ψ*-continuous, fuzzy ψ*-irresolute functions, and fuzzy ψ*-closed (open) functions, as applications of these fuzzy sets, fuzzy T1/5-spaces, fuzzy $$ {T}_{1/5}^{\psi \ast } $$ -spaces, and fuzzy ψ*T1/5-spaces.

中文翻译：

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模糊拓扑空间中的ψ*-闭集

在本文中，我们引入了一类新的模糊集，即模糊拓扑空间的模糊ψ*-闭集，并且已经证明了它们的一些性质。此外，我们引入了模糊 ψ*-连续、模糊 ψ*-非确定函数和模糊 ψ*-闭（开）函数，作为这些模糊集的应用，模糊 T1/5-空间，模糊 $${T}_{ 1/5}^{\psi \ast } $$ -spaces 和模糊 ψ*T1/5-spaces。