# Modeling the Relationship between Business Process Reengineering and Organizational Culture
## 4 Research Methodology
### Creating the Model  
Figure 3 shows the proposed approach for modeling the relationship of success of BPR, taking into consideration the OC elements.  
\begin{table}
\begin{tabular}{l c c} \hline \hline
**Scale Description** & **Defined Fuzzy Number** & **Membership Function** \\ \hline Equal Importance/Preference & \(N1^{-}\) & (1,1,3) \\ \hline Weak Importance/Preference & \(N3^{-}\) & (1,3,5) \\ \hline Strong Importance/Preference & \(N5^{-}\) & (3,5,7) \\ \hline Very Strong Importance/Preference & \(N7^{-}\) & (5,7,9) \\ \hline Extremely Strong Importance/Preference & N9- & (7,9,11) \\ \hline \hline \end{tabular}
\end{table}
Table 1: Scale of Relative Importance.  
\begin{table}
\begin{tabular}{l c c c c c c c c c} \hline \hline
**Size (n)** & **1** & **2** & **3** & **4** & **5** & **6** & **7** & **8** & **9** & **10** \\ \hline RI & 0 & 0 & 0.52 & 0.89 & \(1.11\) & 1.25 & \(1.35\) & \(1.40\) & \(1.45\) & \(1.49\) \\ \hline
**Size (n)** & **11** & **12** & **13** & **14** & **15** & **16** & **17** & **18** & **19** & **20** \\ \hline RI & 1.51 & 1.48 & 1.56 & 1.57 & 1.49 & 1.59 & 1.60 & 1.61 & 1.62 & 1.63 \\ \hline \hline \end{tabular}
\end{table}
Table 2: Random consistency Index.  
Figure 3: The proposed weighting process.  
The following is a detailed description of the weighting process.  
**Step 1**: Calculate the _relative weight_ of each BPR construct (C-BPR)  
\[RW_{i}=\frac{w_{i}}{\sum_{i=1}^{n}w_{i}} \tag{1}\]  
where n is the number of BPR and \(w_{i}\) is the individual weight. In step 1, the researcher calculated the relative weight of each BPR constructs based on its importance. In the beginning, the importance of the calculation was input data during this stage. Then, and because the researcher noticed a difference in the weight from the importance resulting from the first objective's stage, an averaged weight was computed and applied.  
**Step 2**: Calculate the _relative correlation_ of the OC Factors.  
\[\text{RC}_{\text{j}}=\frac{\text{c}_{\text{j}}}{\sum_{j=1}^{m}\text{c}_{\text{j}}} \tag{2}\]  
where m is the number of OC Factors and c\({}_{\text{j}}\) is the individual correlation.  
The relative correlation of each OC factor is calculated using Equation (2) and as seen in Table 3.  
**Step 3**: If \(\text{RC}_{\text{j}}\to 0\); \(\forall\;j\), then go to **Step 4**; otherwise, proceed to **Step 5**.  
**Step 4**: Modify the OCF list  
**Step 5**: Calculate the _relative weight_ of the OC Factors.  
\[\text{RWO}_{\text{i}}=\frac{\text{wo}_{\text{i}}}{\sum_{i=1}^{n}\text{wo}_{ \text{i}}} \tag{3}\]  
where m is the number of OC factors and \(\text{wo}_{\text{i}}\) is the individual weight of the OC factors. Calculate the _actual relative weight_ of the BPR-C as follows:  
\[ARW_{i}=\frac{RW_{i}}{\left(\sum_{j=1}^{m}\text{RC}1\times\text{RWO}_{\text{ i}}\right)} \tag{4}\]  
**Step 6**: Calculate the degree of degradation of the BPR-C as follows:  
\[D_{i}=RW_{i}-ARW_{i} \tag{5}\]  
**Step 7**: Calculate the overall degree of success of the BPR as follows:  
\[DOS-Overall=\sum_{i=1}^{n}D_{i} \tag{6}\]  
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**BPR-C**} & \multirow{2}{*}{**Correlation**} & \multicolumn{5}{c}{**OC-F**} \\ \cline{3-6}  & & **O\({}_{\text{1}}\)** & **O\({}_{\text{2}}\)** & **-...** & **O\({}_{\text{m}}\)** \\ \hline \multirow{2}{*}{\(\text{BPR}_{\text{1}}\)} & Individual correlation & \(\text{c}_{\text{i}}\) & \(\text{c}_{\text{2}}\) & -... & \(\text{c}_{\text{m}}\) \\ \cline{2-6}  & Relative Correlation & \(\text{RC}_{\text{1}}\) & \(\text{RC}_{\text{2}}\) & -... & \(\text{RC}_{\text{m}}\) \\ \hline \multirow{2}{*}{\(\text{\text{\text{\text{\text{\text{\text{\text