P-ROV - Plithogenic extension of P-ROV

1. 1. Contradiction adjustment; score extraction.

   $$s_{ij}=s({\hat{p}}_{ij})$$

2. 2. Min-max score normalisation.

   $${\hat{s}}_{ij}=(s_{ij}-s_j^{\min })/(s_j^{\max }-s_j^{\min })(j\in {\Omega }_b);{\hat{s}}_{ij}=(s_j^{\max }-s_{ij})/(s_j^{\max }-s_j^{\min })(j\in {\Omega }_c)$$

3. 3. Best-case utility over benefit criteria only; worst-case utility over cost criteria only.

   $$U_i^{+}=\sum _{j\in {\Omega }_b}{w}_j{\hat{s}}_{ij};U_i^{-}=\sum _{j\in {\Omega }_c}{w}_j{\hat{s}}_{ij}$$

4. 4. Composite utility; rank descending.

   $$U_i=(U_i^{+}+U_i^{-})/2;\text{rank descending}$$