Fig. 9
Compute \( \hat{\mathbb{C}}\left(x\left)\right(i,j\right) \). Compute the 3-polar fuzzy soft set \( \hat{\mathbb{C}}\in {\left({\left[0,60\right]}^{2\times 3}\right)}^X, \) defined by \( \hat{\mathbb{C}}\left(x\left)\right(i,j\right)=60\wedge {\sum}_{k=1}^3\left({p}_k{}^{\circ}{p}_1{}^{\circ}\mathbb{C}\left(x\left)\right(i,j\right)\times {p}_k{}^{\circ}{p}_2{}^{\circ}\mathbb{C}\left(x\left)\right(i,j\right)\ \right)\kern0.75em \forall \left(i,j\right)\in {I}^2,\forall x\in X\Big) \) where pk : [0, 60]2 → [0, 60] is the k-the projection (k=1, 2, 3)