6th European Conference - Academic Conferences

Tridip Bardhan et al.
Step 6: Gathered judgment weights analysis: - The pairwise comparison was done using MS-excel
template, with in-built capability to calculate elements local priorities and pairwise-matrix consistency.
Thus, the first task of the analysis step involved obtaining and organizing each panel member’s pairwise
comparison matrices, and their respective element priority vectors. The pairwise matrices were also
assessed for the completeness and consistency (see Figure 5).
Figure 5: Pair-wise comparison matrix as built in Microsoft Excel ®
The element priorities were calculated using Saaty’s (1980) additive normalization algorithm, which
consists of the following three steps:
For each pairwise comparison matrix :
Where is pairwise matrix from panel member , for cluster and containing relative measures,
assigned to element when compared to element (Note that and )
Sum the values of each column in comparison matrix i.e.
Divide each element in matrix with respective column sum i.e.
pairwise comparison matrix.
to obtain normalized
Sum each row’s element and divide row’s sum by elements in the row, to
obtain vector (Eigen vector) containing estimates of relative priorities of the elements in the
cluster i.e.
Where: is the local priority for element of cluster , for panel member
The consistency of each pairwise comparison matrix was checked using Saaty’s (1980) consistency
index (CI) calculated as:
31