## 6 Methodology  
In this study, we applied TOPSIS to determine a solution that is close to the ideal solution and distant from the non-ideal solution. This technique is based on determining the maximum or minimum benefit criteria that correspond to the positive or negative ideal solutions, respectively. TOPSIS compares positive and negative solutions to determine the distance between alternative solutions. Many researchers have developed TOPSIS methods [29]. These methods focus on creating a weight for each criterion, scoring the normalization for each criterion, and estimating the geometric distance between each alternative and the ideal alternative. Accordingly, the best value is determined for each criterion, and the concrete mixture is prepared depending on the physical and mechanical properties and the specific requirements for different purposes, especially in the canal lining, taking into consideration the economic factors (financial goals). The supply chain is an important factor in admixture techniques to overcome the gaps between production and requirements, and increase the product quality and efficient use of raw materials. Tables 3 and 4 present the weights and rates for all properties according to our assumptions. We estimated the weight values of the material properties that impact the performance of the canal lining using questionnaires and by interviewing professionals. This study modified the University of British Columbia (UBC) method by developing various economic, technical, socio-cultural, and environmental factors. Each of these factors was assigned a weight based on its impact on the application and purpose of the project. TOPSIS assumes that monotonic criteria increase or decrease according to normalization as a basic factor, although an odd dimension is considered in multicriteria cases. TOPSIS is an effective method for comparing criteria that are considered to have poor results in other aspects. Such results provide us with a more realistic form of modeling, compared to the results of other methods, considering the related alternatives to include or exclude alternative solutions [1,32]. The discussion and illustration of the UBC method are clarified in the previous section and the modifications are discussed in this section. The primary criterion for this technique is to measure the stratification of all mechanical and other properties of the bedrock so they can be added to a new Excel sheet and linked with phenomena that correspond to all mining methods using TOPSIS, which can easily connect all the rock type characterizations (e.g., mechanical properties such as UCS, TS, and abrasion; physical properties such as density, water absorption, and wave velocity; and economic factors related to cost). Figure 3 illustrates the integration of all parameters and properties applied to this technique. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Parameter**} & \multicolumn{5}{c}{**Rating**} \\ \cline{2-6}  & **0.2** & **0.4** & **0.6** & **0.8** & **1** \\ \hline Uniaxial compressive strength (MPa) & \textless{}250 & 250–500 & 500–750 & 750–1000 & \textless{}1000 \\  & Very low & low & Medium & High & Very high \\ \hline TS, MPa & \textless{}25 & 25–50 & 50–100 & 100–150 & \textless{}150 \\  & Very low & low & Medium & High & Very high \\ \hline DIS, \% & \textless{}50 & 50–60 & 60–75 & 75–100 & \textless{}100 \\  & Very low & low & Medium & High & Very high \\ \hline Water absorption, \% & \textless{}2750 & 2750–3500 & 350–4250 & 4250–5000 & \textless{}5000 \\  & Very weak & Weak & Moderate & strong & Very strong \\ \hline Cost, LE & \textless{}50 & 50–60 & 60–70 & 70–80 & \textgreater{}80 \\  & Very cheap & cheaper & Moderate & Expansive & Extremely Expensive \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Ratings assigned to different parameters [30,31].