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Inclusive regular separation in \(L\)-fuzzy topological spaces. (English) Zbl 1084.54507

Summary: We first introduce the concept of the inclusive regular separation in \(L\)-fuzzy topological spaces. Then we compare the inclusive regular separation with pointed regular separation and regular separation, and discuss the implicative and non-implicative relations among the above three separations. Finally, we illustrate that the inclusive regular separation is harmonic with the inclusive normal separation and inclusive completely regular separation.

MSC:

54A40 Fuzzy topology
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