Page 277 - Materials Chemistry, Second Edition

13.2 Decision-making under multi-type data condition 275

FIG. 13.1 The framework of the developed multi-criteria decision analysis under hybrid information.

can be transformed into interval numbers by Eq. (13.16). After this, the decision-making ma-
trix, which is composed of interval numbers, can be determined, as presented in Eq. (13.17).
C 1 C 2 ⋯ C N
A 1 x x ⋯ x
11 12 1N
X ¼ A 2 x x ⋯ x (13.17)
21 22 2N
⋮ ⋮ ⋮ ⋱ ⋮
A M x x ⋯ x
M1 M2 MN
h L U i
x ¼ x ij x ij (13.18)

ij
where X represents the decision-making matrix, x ij , which is an interval number, represents

U
L
the data of the ith alternative with respect to the jth criterion, and x ij and x ij are the lower and
upper bounds of the interval number x ij , respectively.