## 4 Results and Discussion
### Multi-Criteria Decision Making Model Based on AHP
#### 4.2.4 Calculating the Index Ratio and Consistency Ratio  
The word \"consistency\" refers to determining whether a pairwise relation is consistent. Similarly, AHP provides the Consistency Ratio (CR) as the measurement of consistency for pairwise comparisons. The pairwise comparison is considered inconsistent if the CR is greater than 0.10. Whereas, a value less than 0.10 means that the result of pairwise comparison is acceptable [52; 57]. The CI and CR were calculated using Equations (1) and (2). \[CI=\frac{(\Lambda max-n)}{(n-1)} \tag{1}\]  
where \(n\) is the number of factors in the data set. We used 10 critical success factors in this research. CR is achieved by dividing the Consistency Index by the Random Consistency Index (RI), and the values of RI are given in Table 11 in Appendix A.  
\[CR=\frac{CI}{RI} \tag{2}\]  
In order to calculate the consistency ratio, we need to compute the Lambda max value. The Lambda max value is achieved as A1\(\times\)A2 = A3 \(\rightarrow\) A3\(\div\)A2 \(\rightarrow\) A4 \(\rightarrow\) Average of A4 \(\rightarrow\) Lambda max. The step by step calculation of the Lambda max value is given in Table 7.  
Thus, the Lambda max value is (\(\Lambda\)max) = 10.247. Equation (1) is used to calculate the consistency index as given below. \[CI=\frac{10.247-10}{10-1}=0.027\] \begin{table}
\begin{tabular}{l l} \hline ES & [1.000\({}^{\circ}\)2.000\({}^{\circ}\)1.000\({}^{\circ}\)0.333\({}^{\circ}\)5.000\({}^{\circ}\)3.000\({}^{\circ}\)2.000\({}^{\circ}\)7.000\({}^{\circ}\)3.000\({}^{\circ}\)1/10 = 2.042\({}^{\circ}\)13.3571 0.153 \\ PC & [0.500\({}^{\circ}\)1.000\({}^{\circ}\)5.00\({}^{\circ}\)2.50\({}^{\circ}\)3.000\({}^{\circ}\)2.000\({}^{\circ}\)1.000\({}^{\circ}\)5.000\({}^{\circ}\)2.000\({}^{\circ}\)2.001/10 = 1.223\({}^{\circ}\)13.3571 0.092 \\ Cos & [1.000\({}^{\circ}\)2.000\({}^{\circ}\)1.000\({}^{\circ}\)0.333\({}^{\circ}\)5.000\({}^{\circ}\)3.000\({}^{\circ}\)2.000\({}^{\circ}\)7.000\({}^{\circ}\)3.000\({}^{\circ}\)3.000\({}^{\circ}\)1/10 = 2.042\({}^{\circ}\)13.3571 0.153 \\ LR & [3.000\({}^{\circ}\)4.000\({}^{\circ}\)3.000\({}^{\circ}\)1.000\({}^{\circ}\)7.000\({}^{\circ}\)5.000\({}^{\circ}\)4.000\({}^{\circ}\)9.000\({}^{\circ}\)5.000\({}^{\circ}\)5.000\({}^{\circ}\)5.001/10 = 4.031\({}^{\circ}\)13.3571 0.302 \\ Inf & [0.200\({}^{\circ}\)3.330\({}^{\circ}\)2.000\({}^{\circ}\)1.043\({}^{\circ}\)1.000\({}^{\circ}\)5.000\({}^{\circ}\)5.000\({}^{\circ}\)4.000\({}^{\circ}\)5.000\({}^{\circ}\)5.000\({}^{\circ}\)5.001/10 = 0.465\({}^{\circ}\)46.45/13.3571 0.035 \\ ML & [0.333\({}^{\circ}\)5.000\({}^{\circ}\)3.330\({}^{\circ}\)2.000\({}^{\circ}\)1.001\({}^{\circ}\)1.000\({}^{\circ}\)4.000\({}^{\circ}\)1.000\({}^{\circ}\)1.001\({}^{\circ}\)1.00\({}^{\circ}\)7.085 0.78/13.3571 0.059 \\ FRC & [0.500\({}^{\circ}\)1.000\({}^{\circ}\)5.000\({}^{\circ}\)2.500\({}^{\circ}\)1.000\({}^{\circ}\)1.000\({}^{\circ}\)4.000\({}^{\circ}\)2.000\({}^{\circ}\)2.001/10 = 1.072\({}^{\circ}\)13.3571 0.080 \\ LB & [0.143\({}^{\circ}\)0.200\({}^{\circ}\)1.43\({}^{\circ}\)0.111\({}^{\circ}\)2.050\({}^{\circ}\)0.250\({}^{\circ}\)2.50\({}^{\circ}\)1.000\({}^{\circ}\)0.250\({}^{\circ}\)2.501/10 = 0.232\({}^{\circ}\)0.232/13.3571 0.017 \\ DK & [0.333\({}^{\circ}\)5.00\({}^{\circ}\)3.33\({}^{\circ}\)0.200\({}^{\circ}\)1.000\({}^{\circ}\)5.00\({}^{\circ}\)4.000\({}^{\circ}\)1.000\({}^{\circ}\)1.001/10 = 0.732\({}^{\circ}\)0.732/13.3571 0.055 \\ PM & [0.333\({}^{\circ}\)0.500\({}^{\circ}\)3.33\({}^{\circ}\)0.200\({}^{\circ}\)2.000\({}^{\circ}\)1.000\({}^{\circ}\)5.00\({}^{\circ}\)4.000\({}^{\circ}\)1.000\({}^{\circ}\)1.001/10 = 0.732\({}^{\circ}\)0.732/13.3571 0.055 \\ \hline \multicolumn{2}{c}{Sum = 13.3571} \\ \hline \end{tabular}
\end{table} 
Table 6: Step by step calculations of criteria weight.