DIBR - Defining Interrelationships Between Ranked criteria

1. 1. Order criteria C_1 ≻ C_2 ≻ … ≻ C_n.

   $$C_1⪰C_2⪰\cdots ⪰C_n$$

2. 2. Use the elicited adjacent share γ_{j,j+1} to express the next weight relative to the preceding weight.

   $$\frac{w_j}{w_{j+1}}=\frac{1-{\gamma }_{j,j+1}}{{\gamma }_{j,j+1}};w_{j+1}=\frac{{\gamma }_{j,j+1}}{1-{\gamma }_{j,j+1}}{w}_j$$

3. 3. Normalize the recursively derived relative weights and restore criterion-column order.

   $$w_1={\left[1+\sum _{k=2}^n\prod _{r=1}^{k-1}\frac{{\gamma }_{r,r+1}}{1-{\gamma }_{r,r+1}}\right]}^{-1};\sum _j{w}_j=1$$