Page 287 - Materials Chemistry, Second Edition
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13.3 Case study                          285
                 TABLE 13.8  The global weights of the eight criteria for sustainability assessment of electricity
                 generation systems
                                                          Local weights      Global weights
                 Economic ([0.1643 0.4375])    EC 1       [0.3000 0.5000]    [0.0493 0.2188]

                                               EC 2       [0.5000 0.7000]    [0.0822 0.3062]
                                               EN 1       [0.3673 0.4255]    [0.1607 0.3024]
                 Environmental ([0.4375 0.7107])  EN 2    [0.3673 0.4255]    [0.1607 0.3024]

                                               EN 3       [0.1036 0.1836]    [0.0453 0.1305]
                                               EN 4       [0.0235 0.1035]    [0.0103 0.0736]
                 Social ([0.1019 0.1481])      S 1        [0.6667 0.7619]    [0.0679 0.1128]

                                               S 2        [0.2381 0.3333]    [0.0243 0.0494]



            calculating the product of the data with respect to the evaluation criterion in the normalized
            decision-making and the interval weight of the evaluation criteria. For instance, the data
            of cell (1,1) in the weighted normalized decision-making matrix can be determined
            by Eq. (13.45) (using the data of the coal-based electricity generation system with respect
            to EC 1 to multiply with the global weight of EC 1 ). In a similar way, all the data in the
            weighted normalized decision-making matrix can be determined, and the results are
            presented in Table 13.9. The ideal solutions with respect to each evaluation criterion can
            be determined.
                                                                                       (13.45)
                                ½ 0:2860 2:2190Š  0:0493 0:2188½  Š ¼ 0:0141 0:4855½  Š
              Then, the following programming was established to determine the most sustainable
            electricity generation system:




            TABLE 13.9  The weighted normalized decision-making matrix.
                 Coal         Oil          Biomass      Ocean        Wind         Ideal solutions
                 [0.0141 0.4855]  [0.0362 0.1609]  [0.0089 0.1169]  [0.0104 0.0917]  [0.0177 0.2390]  0.4855
            EC 1
                 [0.0482 0.6208]  [0.0539 0.2009]  [0.0279 0.3252]  [0.0158 0.0915]  [0.0235 0.2927]  0.6208
            EC 2
                 [0.0018 0.0048]  [0.0218 0.1129]  [0.0062 0.2656]  [0.0480 0.5644]  [0.0436 0.5644]  0.5644
            EN 1
                 [0.0014 0.0416]  [0.0022 0.0146]  [0.0193 0.1456]  [0.3868 0.7279]  [0.0516 0.5823]  0.7279
            EN 2
                 [0.0006 0.0032]  [0.0007 0.0054]  [0.0051 0.1610]  [0.1118 0.3220]  [0.0140 0.1610]  0.3220
            EN 3
            EN 4  [0.0004 0.0151]  [0.0010 0.0301]  [0.0004 0.0215]  [0.0211 0.1506]  [0.0053 0.1506]  0.1506
            S 1  [0.0274 0.0639]  [0.0615 0.1151]  [0.0716 0.1267]  [0.0769 0.1291]  [0.0777 0.1293]  0.1293
            S 2  [0.0249 0.0507]  [0.0249 0.0507]  [0.0249 0.0507]  [0.0205 0.0467]  [0.0225 0.0482]  0.0507
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