Consider a supplier selection problem where the five most important criteria are identified as follows.

C1 : Risk

C2 : Delivery time C3 : Quality C4 : Price C5 : Business Performance Suppose some of purchasing managers were interviewed and they were asked to rank the above criteria. A pair-wise comparison matrix is constructed as shown below.

The summary of the supplier criteria values is given in table.

Determine the weights of the criteria and their rankings based on the sample survey of the purchasing managers, using the Borda method for multiple decision makers.

\begin{tabular}{cccccc} \hline & C1 & C2 & C3 & C4 & C5 \\ \hline C1 & 1 & 0 & 0 & 0 & 1 \\ C2 & 1 & 1 & 0 & 0 & 1 \\ C3 & 1 & 1 & 1 & 1 & 1 \\ C4 & 1 & 1 & 0 & 1 & 1 \\ C5 & 0 & 0 & 0 & 0 & 1 \\ \hline \end{tabular} \begin{tabular}{cccccc} \hline Supplier & 1 & 2 & 3 & 4 & 5 \\ \cline { 2 - 6 } Criteria & & & & & \\ \hline C1 & 9 & 4 & 4 & 7 & 6 \\ C2 & 3 & 13 & 4 & 8 & 2 \\ C3 & 6 & 3 & 11 & 9 & 1 \\ C4 & 8 & 7 & 9 & 2 & 4 \\ C5 & 4 & 3 & 2 & 4 & 17 \\ \hline \end{tabular}