P-CoCoSo - Plithogenic extension of P-COCOSO

1. 1. Contradiction adjustment; score shift; min-max normalisation.

   $$s_{ij}=s({\hat{p}}_{ij});{\tilde{s}}_{ij}=s_{ij}+1;{\hat{s}}_{ij}=({\tilde{s}}_{ij}-{\tilde{s}}_j^{\min })/({\tilde{s}}_j^{\max }-{\tilde{s}}_j^{\min })(j\in {\Omega }_b)$$

2. 2. WSM sequence P_i and WPM sequence R_i.

   $$P_i=\sum _j{w}_j{\hat{s}}_{ij};R_i=\sum _j{\hat{s}}_{ij}^{w_j}$$

3. 3. Three compromise scores k_ia, k_ib, k_ic.

   $$k_{ia}=(P_i+R_i)/\sum _k(P_k+R_k);k_{ib}=P_i/\underset{k}{\min }{P}_k+R_i/\underset{k}{\min }{R}_k;k_{ic}=(\lambda P_i+(1-\lambda )R_i)/(\lambda \underset{k}{\max }{P}_k+(1-\lambda )\underset{k}{\max }{R}_k),\lambda =0.5$$

4. 4. Combined CoCoSo score k_i.

   $$k_i=(k_{ia}{k}_{ib}{k}_{ic}{)}^{1/3}+\frac{1}{3}(k_{ia}+k_{ib}+k_{ic})$$

5. 5. Rank descending by k_i.

   $$\text{rank descending by }{k}_i$$