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In this paper, fuzzy L-open sets due to Abd El-Monsef et al. [4] are used to introduce a new separation axiom and new type of function in fuzzy topological ideals spaces . Some the basic properties of fuzzy L-irresolute functions, as well as the connections between them, are investigated. Possible application to superstrings and   space–time are touched upon.

A New Form of Fuzzy Hausdorff Space and Related Topics via Fuzzy Idealization