## 3 Results
Weights \(w_{ij}\) have been obtained by Equation (3):  
\[w_{ij}=\frac{\sum_{j=1}^{m}X_{ij}}{m} \tag{3}\]  
Weight vector of level II (W\({}_{\text{{II}}}\)) is represented in Table 7.  
The analysis of consistency was composed of three phases:  
* Analysis of consistency of each criterion and assessment of consistency vector;
* Measure of consistency by mean consistency index (\(CI\)) as deviation or degree of consistency according to Equation (4): \[CI=\frac{l_{max}-n}{n-1}\] (4) \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Level II** & **Environment** & **Workers’ Health** & **Society** \\ \hline
**Environment** & 0.29 & 0.25 & 0.40 \\
**Workers’ health** & 0.57 & 0.50 & 0.40 \\
**Society** & 0.14 & 0.25 & 0.20 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Normalized pairwise comparison matrix for level II (N\({}_{\text{{II}}}\)). \begin{table}
\begin{tabular}{c c c} \hline \hline
**Level II** & **Environment** & **Workers’ Health** & **Society** \\ \hline
**Environment** & 1 & 0.5 & 2 \\
**Workers’ health** & 2 & 1 & 2 \\
**Society** & 0.5 & 0.5 & 1 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Pairwise comparison matrix for level II (C\({}_{\text{{II}}}\)). where \(n\) is the size of the pairwise comparison matrix \(C\) and \(l_{max}\) is the largest eigenvalue of \(C\) when \(w\) is the weight vector, \(l_{max}\) satisfies Equation (5): \[C\cdot w=l_{max}\cdot w\] (5)
* Measure of the ratio consistency (RC) according to Equation (6): \[RC=\ \frac{CI}{RCI}\] (6) where \(RCI\) is the Random Consistency Index proposed by [PERSON] for different size of the comparison matrix (Table 8). It is acceptable \(RC\leq 1\); other values require revision of the subjective judgements. The analysis of consistency for level II gave the results listed in Table 9 (\(l_{max}\) is 3.05). The results listed in Table 9 satisfy the condition proposed by [PERSON] [36]: the judgements are within the limit of consistency. As regard as the priorities relating to criteria of level III, pairwise comparisons for environment analysis gave the results shown in Table 10.  
Table 11 shows the normalized pairwise comparison matrix for level III, environment analysis (N\({}_{\text{JIIE}}\)). Weight vector of level III, environment analysis (W\({}_{\text{JIIE}}\)) is represented in Table 12. \begin{table}
\begin{tabular}{c c c} \hline \hline
**Level III, Environment** & **Atmosphere** & **Waste** & **Water Environment** \\ \hline
**Atmosphere** & 1 & 0.33 & 1 \\
**Waste** & 3 & 1 & 3 \\
**Water environment** & 1 & 0.33 & 1 \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Pairwise comparison matrix for level III, environment analysis (C\({}_{\text{JIIE}}\)). \begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline \(RCI\) & **0** & **0** & **0.58** & **0.9** & **1.12** & **1.24** & **1.32** & **1.41** & **1.45** & **1.49** \\ \hline \(n\) & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Random Consistency Index [36]. \begin{table}
\begin{tabular}{c c} \hline \hline \(CI\) & 0.03 \\ \hline \(RCI\) & 0.58 \\ \(RC\) & 0.05 \\ \hline \hline \end{tabular}
\end{table} 
Table 9: Consistency analysis for level II. The analysis of consistency of level III, environment analysis gave the results listed in Table 13: they satisfy the condition proposed by [PERSON] [36] (\(l_{max}\) is 3). Similar procedure has been applied to criteria \"worker's health\" and \"socio-economical\" aspects. For the first one the results are based on the pairwise comparison matrix for level II, shown below in Table 14.  
Weight vector for level III, workers' health analysis is represented in Table 15.  
As regard as the priorities relating to criteria of level IV, pairwise comparisons for atmosphere analysis gave the results shown in Table 16.  
Table 17 shows the normalized pairwise comparison matrix for level IV, atmosphere analysis (N\({}_{I