## 4 Case Study
### Performance Evaluation Using Fuzzy MCDM Model in the Construction Project
\begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**Decision Sub-Criteria**} & \multicolumn{4}{c}{**Fall Protection System Plan Alternatives**} \\ \cline{2-5}  & **Alternative 1** & **Alternative 2** & **Alternative 3** & **Alternative 4** \\ \hline Equipment appropriateness & (0.00, 0.05, 0.11) & (0.00, 0.05, 0.11) & (0.05, 0.10, 0.15) & (0.02, 0.05, 0.11) \\ End-user stability & (0.02, 0.06, 0.08) & (0.02, 0.05, 0.08) & (0.02, 0.05, 0.08) & (0.02, 0.05, 0.08) \\ Protection to user & (0.07, 0.14, 0.22) & (0.02, 0.13, 0.20) & (0.07, 0.17, 0.22) & (0.07, 0.08, 0.22) \\ Passivity & (0.00, 0.02, 0.03) & (0.01, 0.03, 0.05) & (0.01, 0.04, 0.05) & (0.01, 0.04, 0.05) \\ Simplicity & (0.00, 0.03, 0.05) & (0.00, 0.02, 0.04) & (0.00, 0.02, 0.05) & (0.02, 0.05, 0.07) \\ Aesthetics & (0.00, 0.01, 0.03) & (0.00, 0.02, 0.04) & (0.00, 0.02, 0.03) & (0.00, 0.02, 0.04) \\ Effort needed before installation & (0.03, 0.05, 0.11) & (0.03, 0.04, 0.11) & (0.03, 0.04, 0.11) & (0.03, 0.05, 0.11) \\ Flexibility & (0.00, 0.01, 0.02) & (0.00, 0.01, 0.02) & (0.00, 0.00, 0.01) & (0.00, 0.01, 0.02) \\ Labor productivity & (0.02, 0.05, 0.08) & (0.02, 0.03, 0.08) & (0.02, 0.03, 0.08) & (0.02, 0.05, 0.07) \\ Ergonomic comfort of workers & (0.01, 0.03, 0.05) & (0.01, 0.04, 0.05) & (0.00, 0.02, 0.03) & (0.01, 0.03, 0.05) \\ Efficiency of installation & (0.00, 0.01, 0.02) & (0.00, 0.01, 0.03) & (0.02, 0.03, 0.03) & (0.01, 0.02, 0.03) \\ Cost of protection system & (0.00, 0.01, 0.01) & (0.00, 0.01, 0.01) & (0.01, 0.01, 0.04) & (0.00, 0.01, 0.01) \\ Cost of installation and removal & (0.00, 0.00, 0.01) & (0.00, 0.00, 0.01) & (0.00, 0.01, 0.03) & (0.00, 0.01, 0.03) \\ Maintenance and repair cost & (0.01, 0.01, 0.02) & (0.01, 0.01, 0.02) & (0.01, 0.01, 0.02) & (0.01, 0.01, 0.02) \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Fuzzy-weighted normalized decision matrix for construction fall protection alternatives. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multirow{2}{*}{**Decision Sub-Criteria**} & \multicolumn{4}{c}{**Positive Distance and Negative Distance of Fall Protection System Alternatives**} \\ \cline{2-9}  & **Alternative 1** & **Alternative 2** & **Alternative 3** & **Alternative 4** \\ \cline{2-9}  & **d\({}^{\star}\)** & **d\({}^{-}\)** & **d\({}^{+}\)** & **d\({}^{-}\)** & **d\({}^{+}\)** & **d\({}^{-}\)** & **d\({}^{+}\)** & **d\({}^{-}\)** \\ \hline Equipment appropriateness & 0.086 & 0.000 & 0.086 & 0.000 & 0.000 & 0.086 & 0.074 & 0.017 \\ End-user stability & 0.00 & 0.006 & 0.004 & 0.002 & 0.004 & 0.002 & 0.006 & 0.000 \\ Protection to user & 0.028 & 0.083 & 0.067 & 0.050 & 0.000 & 0.107 & 0.094 & 0.050 \\ Passivity & 0.029 & 0.000 & 0.003 & 0.027 & 0.000 & 0.029 & 0.002 & 0.028 \\ Simplicity & 0.038 & 0.017 & 0.052 & 0.000 & 0.043 & 0.015 & 0.000 & 0.052 \\ Aesthetics & 0.013 & 0.000 & 0.000 & 0.013 & 0.010 & 0.006 & 0.001 & 0.013 \\ Effort needed before installation & 0.000 & 0.004 & 0.003 & 0.001 & 0.004 & 0.000 & 0.000 & 0.004 \\ Flexibility & 0.008 & 0.006 & 0.010 & 0.006 & 0.014 & 0.000 & 0.000 & 0.014 \\ Labor productivity & 0.000 & 0.024 & 0.023 & 0.008 & 0.019 & 0.009 & 0.008 & 0.021 \\ Ergonomic comfort of workers & 0.004 & 0.022 & 0.000 & 0.024 & 0.024 & 0.000 & 0.004 & 0.022 \\ Efficiency of installation & 0.025 & 0.000 & 0.017 & 0.010 & 0.000 & 0.025 & 0.008 & 0.018 \\ Cost of protection system & 0.029 & 0.000 & 0.029 & 0.000 & 0.000 & 0.029 & 0.029 & 0.001 \\ Cost of installation and removal & 0.017 & 0.000 & 0.017 & 0.000 & 0.000 & 0.017 & 0.003 & 0.017 \\ Maintenance and repair cost & 0.003 & 0.001 & 0.004 & 0.000 & 0.000 & 0.004 & 0.003 & 0.001 \\ \hline \hline \end{tabular}
\end{table} 
Table 9: Positive distance and negative distance of fall protection alternatives.