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

Kamaladdin Rahmani Youshanloui et al
Having applied <strong>the</strong> upper and lower limits, <strong>the</strong> matrix <strong>of</strong> this stage is achieved. It should be mentioned
that due to some scattering in <strong>the</strong> collected data, it is necessary, for accurate calculation <strong>of</strong> <strong>the</strong>
collected data, for <strong>the</strong> upper and lower limits to be chosen according to experts' opinion (Schneider et
al, 1998 & Kosko, 1986 & Rodriguez, 2007). Here, according to <strong>the</strong> experts' opinions, <strong>the</strong> upper limit
is equal to 0.8 and <strong>the</strong> lower limit is equal to 0.2.
Table 4: The FZMS Matrix
ID
<strong>of</strong>
CSF
Individuals
1 2 3 4 5 6 7 8 9 10 11 12
1 1 0.57 0.5 0.43 0.8 1 0 0.5 0 1 0.73 0.33
2 0.7 1 0.47 0.64 0 0.72 0.72 1 0.34 1 1 0.62
3 0.69 0 0.24 0.42 0 1 0.33 0.67 0.51 0.67 0.27 0
4 0.67 0.47 0.23 1 0.27 1 0 0.67 0.43 0.5 0.63 0
5 0.7 0.58 0.76 1 1 0.6 0.2 0.2 1 0.5 0.68 0
6 0.38 0.2 0.53 0.35 0.63 1 0 0.5 0.45 0.38 0.33 0.25
7 0.71 0.56 1 0.44 1 0.67 0 0 0.53 0.33 0.67 0.22
8 0.22 0.33 0 0.33 0 0.67 0.67 0.44 0.47 1 0.44 0
9 0.58 0 0.22 1 0 0.22 0.22 0.64 1 0.64 0.22 1
10 0.36 0.21 0.36 1 0 1 0.36 0.71 1 0.6 0.33 0.6
Step three: Strength <strong>of</strong> Relationships Matrix <strong>of</strong> Success: The Matrix obtained in this step is an NXN
matrix. Rows and columns <strong>of</strong> <strong>the</strong> matrix are <strong>the</strong> identified factors. Our aim at this stage is to review
<strong>the</strong> two-by-two relationships among <strong>the</strong>m. Each component <strong>of</strong> this matrix, which is called Sij,
represents <strong>the</strong> amount <strong>of</strong> influence that "i" exerts on <strong>the</strong> factor "j". Sij can have an assigned value
between [-1.1]. Therefore, three types <strong>of</strong> relationship exist between each two factors (Schneider et al,
1998 & Kosko, 1986 & Rodriguez, 2007).
Sij>0 which represents a direct (and positive) causal relationship between <strong>the</strong> two "i" and "j"
factors.
Sij