PROMETHEE V - PROMETHEE with Integer Programming Constraints

1. 1. F1

   $$\varphi (a)={\varphi }^{+}(a)-{\varphi }^{-}(a)\forall a\in A$$

2. 2. F2

   $$\max \sum _{a\in A}\varphi (a)x_a\text{s.t. }Cx\le d,x_a\in \{0,1\}$$

3. 3. F3

   $$x^{\ast }=\arg \max$$

4. 4. F4

   $$S^{\ast }=\{a:x_a^{\ast }=1\}$$