Page 320 - Materials Chemistry, Second Edition

15.4 Results and discussion 319
TABLE 15.2 The interdependence relation matrix.

T 1 T 2 EC 1 EC 2 EC 3 EN 1 SM 1 SM 2 SM 3
O X X X O X O O O
T 1
T 2 O O O X O X O O O
EC 1 O O O O O O O O O
EC 2 O O O O O O O O O
EC 3 X X X O O O O O O
EN 1 O O O O O O O O O
SM 1 X X O O X X O X O
SM 2 X X X O X O X O O
SM 3 O O X X X X X X O

The lack of advanced technologies (T 1 ) and the lack of awareness and perceptions (SM 1 )
were recognized as the most influential and the least influential, respectively.
Substep 2: Determining the BO and OW vectors.
For instance, these nine experts held the view that the relative influence of T 1 on T 2 , com-
pared with that of EC 3 on T 2 , should be “fair importance (FI),” thus, “FI” was used to describe
the preference of T 1 over EC 3 . In a similar way, all the elements in the BO and OW vectors can
be determined by using linguistic terms, and the BO and OW vectors by using linguistic
terms, as presented in Table (15.3).
The linguistic terms in Table 15.3 can be transformed into fuzzy numbers, and the BO and
OW vectors by using the triangular fuzzy numbers are presented in Table 15.4.

TABLE 15.3 The BO and OW vectors by using the linguistic terms for
determining the relative influences of T 1 ,EC 2 ,SM 1 , and SM 2 on T 2 .

The most influential: T 1 The least influential: SM 1
T 1 EC 3 SM 1 SM 2
BO EI FI AI SI
OW AI SI EI FI

TABLE 15.4 The BO and OW vectors by using the linguistic terms for
determining the relative influences of T 1 ,EC 2 ,SM 1 and SM 2 on T 2 .

The most influential: T 1 The least influential: SM 1
T 1 EC 3 SM 1 SM 2
BO (1,1,1) (3/2, 2, 5/2) (7/2, 4, 9/2) (5/2, 3, 7/2)
OW (7/2, 4, 9/2) (5/2, 3, 7/2) (1,1,1) (3/2, 2, 5/2)