Proceedings of the 12th European Conference on Knowledge ...

Table 5: The SRMS Matrix
Kamaladdin Rahmani Youshanloui et al
ID <strong>of</strong>
ID <strong>of</strong> CSF
CSF 1 2 3 4 5 6 7 8 9 10
1 0.67 0.68 0.73 0.66 0.76 0.73 0.63 0.46 0.64
2 0.67 0.64 0.64 0.53 0.56 0.54 0.68 0.65 0.64
3 0.68 0.64 0.81 0.6 0.78 0.61 0.79 0.73 0.79
4 0.73 0.64 0.81 0.74 0.77 0.77 0.69 0.67 0.67
5 0.66 0.53 0.6 0.74 0.66 0.82 0.56 0.61 0.65
6 0.76 0.56 0.78 0.77 0.66 0.76 0.71 0.6 0.74
7 0.73 0.54 0.61 0.77 0.82 0.76 0.57 0.47 0.52
8 0.63 0.68 0.79 0.69 0.56 0.71 0.57 0.61 0.68
9 0.46 0.65 0.73 0.67 0.61 0.6 0.47 0.61 0.82
10 0.64 0.64 0.79 0.67 0.65 0.74 0.52 0.68 0.82
Step Four: <strong>the</strong> final matrix <strong>of</strong> success: When <strong>the</strong> matrix <strong>of</strong> <strong>the</strong> previous step is completed, it is
possible that some <strong>of</strong> <strong>the</strong> data within <strong>the</strong> matrix be misleading. This means that all factors <strong>of</strong> <strong>the</strong>
previous matrix, whose relations were previously presumed to be clear, may have no relation with
each o<strong>the</strong>r or may not always be causally related. In this case an expert is needed for <strong>the</strong> data
analysis and <strong>the</strong> conversion <strong>of</strong> <strong>the</strong> SRMS matrix into an FMS matrix. The importance <strong>of</strong> using an
expert is realized even more when we consider it possible that <strong>the</strong> factors used in ma<strong>the</strong>matical logic,
which have an acceptable relationship and proximity, may not logically be associated with one
ano<strong>the</strong>r. These unacceptable relations can easily be identified and removed by experts (Schneider et
al. 1998 & Kosko 1986).
Table 6: The FMS Matrix
ID <strong>of</strong>
ID <strong>of</strong> CSF
CSF 1 2 3 4 5 6 7 8 9 10
1 0.67 0.73 0.73 0.46
2 0.67 0.64 0.64 0.53
3 0.64 0.81
4 0.73 0.64 0.81 0.77
5 0.53 0.66 0.56 0.61
6 0.66 0.74
7 0.73 0.77 0.57 0.47
8 0.56 0.57 0.61
9 0.46 0.61 0.47 0.61 0.82
10 0.74 0.82
Partaking <strong>of</strong> <strong>the</strong> obtained final matrix, we can illustrate <strong>the</strong> influence <strong>of</strong> <strong>the</strong>se factors on each o<strong>the</strong>r
through <strong>the</strong> following graph. The nodes, in this graph, represent <strong>the</strong> factors and <strong>the</strong> arcs are indicative
<strong>of</strong> <strong>the</strong>ir influences on each o<strong>the</strong>r.
0.74
10
Figure 1: The Diagram <strong>of</strong> FCM
6
0.66
0.82
0.82
0.61
5
9
0.56
0.74
0.46
0.47
0.46
811
8
0.53
7
0.73
0.57
1
0.77
0.73
0.6
7 0.64
2
0.64
4
0.81
3
3