We introduce the paranormed sequence spaces cF(f, Λ, ∆m, p), cF0 (f, Λ, ∆m, p)and lF∞(f, Λ, ∆m, p) of fuzzy numbers associated with the multiplier sequence Λ = (λk) determined by a sequence of moduli f = (fk). Some of their properties like solidity, symmetricity, completeness etc. and inclusion relations are studied.