## 3 Results and Discussion
### COPRAS Results  
The results of the calculation of the COPRAs method are shown in the following tables, with Table 16 for the normalized matrix, Table 17 for the weighted matrix and the weighted \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Price** & **Density** & \begin{tabular}{c} **Young’s** \\ **(kg-m-3)** \\ \end{tabular} & \begin{tabular}{c} **Yield** \\ **Modulus** \\ **(GPa)** \\ \end{tabular} & \begin{tabular}{c} **Flexural** \\ **Strength** \\ **(MPa)** \\ \end{tabular} & \
\begin{tabular}{c} **Embodied** \\ **(GPa)** \\ \end{tabular} &
\begin{tabular}{c} **CO2** \\ **(MJ-kg–1)** \\ \end{tabular} \\ \hline
0.77 & 0.18 & 0.25 & 0.59 & 0.28 & 0.83 & 0.52 \\
0.10 & 0.30 & 0.03 & 0.06 & 0.05 & 0.21 & 0.30 \\
0.08 & 0.41 & 0.42 & 0.40 & 0.41 & 0.13 & 0.40 \\
0.48 & 0.43 & 0.56 & 0.47 & 0.56 & 0.16 & 0.22 \\
0.16 & 0.34 & 0.40 & 0.15 & 0.40 & 0.14 & 0.26 \\
0.29 & 0.49 & 0.35 & 0.15 & 0.34 & 0.42 & 0.39 \\
0.22 & 0.42 & 0.41 & 0.47 & 0.41 & 0.15 & 0.46 \\ \hline \hline \end{tabular}
\end{table} 
Table 13: Normalized TOPSIS matrix. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Material** & \(S_{i}\) & \(R_{i}\) & \(Q_{i}\) & **Rank** \\ \hline Bamboo & 0.05 & 0.02 & 0.00 & 1 \\ Cement Bonded Particle & 0.42 & 0.35 & 0.39 & 2 \\ Board & 0.71 & 0.69 & 0.74 & 4 \\ Flax (RC) & 0.74 & 0.74 & 0.78 & 6 \\ Palm 0.5 (RC) & 0.49 & 0.46 & 0.49 & 3 \\ Polypropylene (RC) & 0.96 & 0.91 & 1.00 & 7 \\ Sisal (RC) & 0.73 & 0.71 & 0.77 & 5 \\ \hline \hline \end{tabular}
\end{table} 
Table 12: VIKOR ranking. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Price** & **Density** & \begin{tabular}{c} **Young’s** \\ **(kg-m-3)** \\ \end{tabular} & \begin{tabular}{c} **Yield** \\ **Modulus** \\ **(GPa)** \\ \end{tabular} & \begin{tabular}{c} **Flexural** \\ **Strength** \\ **(MPa)** \\ \end{tabular} & \
\begin{tabular}{c} **Embodied** \\ **(GPa)** \\ \end{tabular} &
\begin{tabular}{c} **CO2** \\ **(MJ-kg–1)** \\ \end{tabular} \\ \hline
0.0010 & 0.1671 & 0.0052 & 0.0152 & 0.0055 & 0.0192 & 0.0003 \\
0.0001 & 0.2715 & 0.0006 & 0.0015 & 0.0010 & 0.0048 & 0.0001 \\
0.0001 & 0.3739 & 0.0087 & 0.0102 & 0.0082 & 0.0030 & 0.0002 \\
0.0006 & 0.3885 & 0.0118 & 0.0120 & 0.0110 & 0.0037 & 0.0001 \\
0.0002 & 0.3050 & 0.0084 & 0.0038 & 0.0078 & 0.0032 & 0.0001 \\
0.0004 & 0.4407 & 0.0073 & 0.0038 & 0.0068 & 0.0098 & 0.0002 \\
0.0003 & 0.3823 & 0.0087 & 0.0120 & 0.0081 & 0.0034 & 0.0002 \\ \hline \hline \end{tabular}
\end{table} 
Table 14: TOPSIS weighted matrix. normalized scores, comparative significance, level of utility and ranking in Table 18, which reaffirms the bamboo as the most suitable selection. In this way, the utilization of the weighting method of standard deviation allowed us to assess the criteria needed to make an adequate decision that fulfils the needs of a beam for rural housing and temporary shelter on Latin American conditions. Furthermore, the application of the multicriteria decision methods VIKOR, TOPSIS and COPRAS comes to an agreement, indicating that the best material among all is the bamboo. This material has important characteristics in the technical and environmental aspects that makes it the best option according to the MCDM. Furthermore, the work of [PERSON] about the species of bamboo express that in a distribution from Mexico to Argentina the specie of bamboo that can be found is the Gudua Angustfolia, that has applications in construction being an excellent material for the task [17]. The selection by multicriteria decision methods has been used in construction problems and has been proven to be a powerful tool in decision making all over the world helping the building sector to evolve in the consideration of conflicting criteria [23], in fact, by the utilization of MCDM the research of [PERSON] et al., proved that the buckling restrained braces were the best retrofitting system for a seismic upgrading for a building [8], which gives us the security that the selection of the bamboo by MCDM is the best option. Furthermore, an advantage of the