"The object of the present paper is to obtain several fuzzy differential subordinations associated with Linear operator $$\mathcal{D}_{n,\delta ,g}^{m}f(z) =z+\sum\limits_{j=2}^{\infty }\left[ 1+\left( j-1\right) c^{n}(\delta )\right] ^{m}a_{j}b_{j}z^{j}.$$ Using the operator $\mathcal{D}_{n,\delta ,g}^{m},$ we also introduce a class $\mathcal{H}_{n,m,\delta }^{F}\left( \eta ,g\right) $ of univalent analytic functions for which we give some properties."