Abstract
In this paper we introduce and study the concepts of semi \(T_0\); semi \(T_1\); semi \(T_2\) (Hausdorff), semi \(T_3\) (regularity), semi \(T_4\) (normality), semi \(R_0\); and semi \(R_1\) separation axioms in \(L\)-fuzzifying topological space where \(L\) is a complete residuated lattice. Sometimes we add more conditions on \(L\) such as the completely distributive law or the double negation law.
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