View source for User:Amin Mahmoudi/Multiple criteria decision-making

<math display="inline">\begin{align}
&Max Z \\
&S.t. \\
&Z \leq r_{i}\bigg (r_{j} \big(r_{k} (w_{ijk}^{r_{k}} - w_{ijk}^{{r_{k}}+1}) \big)\bigg) \; \; \; \; \forall i,j \; and \; r_{k} \\
&Z \leq r_{i} r_{j} r_{m} w_{ijk}^{r_{m}} \; \; \; \forall i,j \; and \; r_{m} \\
&\sum_{i=1}^{p}\sum_{j=1}^{n}\sum_{k=1}^{m} w_{ijk} = 1 \\
&w_{ijk}\geq0 \; \; \; \forall i, j \; and \; k  \\
&Z: Unrestricted\;in\;sign \\
\end{align}

</math>



<math>\begin{aligned}
&w_k=\sum_{i=1}^{p}\sum_{j=1}^{n} w_{ijk}  \; \; \; \; \forall k \\
\end{aligned}</math>



<math>\begin{aligned}
&w_j=\sum_{i=1}^{p}\sum_{k=1}^{m} w_{ijk}  \; \; \; \; \forall j \\
\end{aligned}</math>


<math>\begin{aligned}
&w_i=\sum_{j=1}^{n}\sum_{k=1}^{m} w_{ijk}  \; \; \; \; \forall i \\
\end{aligned}</math>