After structuring the hierarchy in the self-assessment model, all the
items may be compared by means of the AHP method. For example, the item of education
quality (first level) has five sub-items (second level).
Then the judgment matrix (M) can be established by comparing all items
and the intensity of importance of each item relating to the A1 (first level) can be
developed.
This judgment matrix is a square matrix which has an equal number of
rows and columns. It also meets the following conditions:
In this case, a set of weightings for item A1 may be obtained by two
steps:
(a) Summing (S) the elements in each row:
(b) Normalizing by dividing each by the total of all the sums:
Therefore, Si and ΣSi can be found from the judgment matrix (M). These
are:
Then, a set of weightings for item A1 can be given:
