IF-GRA - Intuitionistic extension of GRA

1. 1. normalization

   $${\tilde{a}}_{ij}^c=({\nu }_{ij},{\mu }_{ij})\text{for cost criteria}$$

2. 2. ranking_computation

   $$r_j^{\ast }=(\underset{i}{\max }{\mu }_{ij},\underset{i}{\min }{\nu }_{ij})$$

3. 3. ranking_computation

   $${\Delta }_{ij}=\sqrt{\frac{1}{2}[({\mu }_{ij}-{\mu }_j^{\ast }{)}^2+({\nu }_{ij}-{\nu }_j^{\ast }{)}^2]}$$

4. 4. ranking_computation

   $${\xi }_{ij}=\frac{{\Delta }_{\min }+\rho {\Delta }_{\max }}{{\Delta }_{ij}+\rho {\Delta }_{\max }},\rho =0.5$$

5. 5. ranking_computation

   $${\Gamma }_i=\sum _{j=1}^n{w}_j{\xi }_{ij},\text{rank descending}$$