Let the function $σ : V → [0,1]$ defined by $σ(θ) = γ/10$, $γ ∈ Z_4 − \{0\}$ is called the fuzzy quotient-3 cordial labeling if for each edges $ωθ ∈ E$, define $μ : E → [0,1]$ by $μ(ωθ) = \frac{1}{10} \lceil \frac{3σ(ω)}{σ(θ)} \rceil$ where $σ(ω) ≤ σ(θ)$ such that $ν_{σ}(i)$ and $ν_{σ}(j)$ differ by at most 1 and $e_{μ}(i)$ and $e_{μ}(j)$ differ by at most 1 where $ν_{σ}(i)$ and $e_{μ}(i)$ represents the number of vertices and edges assigned with $i \in \{\frac{γ}{10}, γ \in Z_4 \setminus \{0\}\}$. When the graph $G(V, E)$ admits fuzzy quotient-3 cordial labeling, then $G(V, E)$ is fuzzy quotient-3 cordial graph. Fuzzy quotient-3 cordial labeling on generalized Jahangir graph and its subdivision are investigated and the works are presented in this paper.