Page 179 - Materials Chemistry, Second Edition
P. 179

9.2 Literature reviews                     177


               Environmental      Environmental         Economic  Environmental         Economic












                                           Social
                        Social                                             Social
               Alternative 1      Alternative 2                  Alternative m

                                                  MCDM




                                           Environmental            Economic














                                                     Social
                                          Best Alternative
            FIG. 9.1  The combination of LCSA and MCDM.

            alternatives (a 1 , a 2 , …, a n ), the decision-making matrix (X) contains the information of data
            (x ij )of ith criterion with respect to jth alternative where i¼1, 2, …, m, and j¼1, 2, …, n,as
            shown by Eq. (9.1).

                                                a 1  a 2
                                             0         ⋯ a n 1
                                          c 1  x 11 x 12 ⋯ x 1n  w 1
                                             B               C
                                     X ¼ c 2   x 21 x 22 ⋯ x 2n  w 2                     (9.1)
                                             B               C
                                             @  ⋮   ⋮  ⋱   ⋮  A  ⋮
                                          …
                                          c m  x m1 x m2 ⋯ x mn  w m
            To engage more possibilities in practice, the data of criteria with respect to multiple alterna-
            tives have been extended into different formats.
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