New separation axiom in multiset topology

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In this article we introduce some M-topological operators called multiset kernel and multiset shell operators. Then we define a new separation axiom termed as multiset $T_{D}$- spaces and investigate some of its basic properties. It is observed that this space precisely lies between multiset $T_0$ and multiset $T_1$-spaces. Also, we characterize multiset $T_0$, $T_1$ and $T_D$-spaces in the light of the mentioned operators.