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280         13. Multi-criteria decision-making after life cycle sustainability assessment under hybrid information

                   Selection constraint:
                                                      M
                                                      X
                                                         p i ¼ 1                            (13.38)
                                                      i¼1
                   p i ¼1 shows that the ith has been recognized as the best alternative. After determining the
                 best alternative among the M alternatives, the best alternative among the M 1 alternatives
                 can also be determined by repeating, according to the programming shown in Eqs. (13.33)–
                 (13.36). With M 1 times, the priority sequence of these M alternatives can be determined.

                                                 13.3 Case study

                   In order to illustrate the developed multi-criteria decision analysis method for life cycle
                 sustainability ranking of energy and industrial systems, five electricity generation systems,
                 including electricity generation from coal, oil, biomass, ocean energy, and wind energy, in
                 Mexico (Santoyo-Castelazo, 2011) were studied by the proposed method. Santoyo-Castelazo
                 (2011) carried out a comprehensive sustainability analysis of these alternative electricity gen-
                 eration systems. A total of eight criteria were used to evaluate the sustainability of electricity
                 generation systems: overnight investment costs (EC 1 ) and levelized costs (EC 2 ) in the eco-
                 nomic dimension, global warming potential (EN 1 ), acidification potential (EN 2 ), abiotic de-
                 pletion potential (EN 3 ) and eutrophication potential (EN 4 ) in the environmental
                 dimension, and public acceptability (S 1 ) and technology maturity (S 2 ) in the social dimension.
                   The data of these five electricity generation systems, with respect to these six hard criteria,
                 EC 1 ,EC 2 ,EN 1 ,EN 2 ,EN 2 , and EN 4 , were derived from the work of Santoyo-Castelazo (2011).
                 However, the data with respect to the two soft criteria, S 1 and S 2 , were evaluated by three
                 groups of stakeholders by using the eleven linguistic variables, and they are researcher
                 and engineer group (DM#1), administration group (DM#2), and user group (DM#3). The per-
                 formances of these five alternative electricity generation systems by using multiple types of
                 data are presented in Table 13.2. After this, the developed multi-criteria decision analysis
                 method was employed to rank these five alternatives.

                 TABLE 13.2 The performance of the five alternative electricity generation systems by using multiple types
                 of data.
                                              Coal       Oil        Biomass    Ocean      Wind
                 LCC     EC 1  USD.kW  1      [602 4671]  1817      [2500 7431]  [3186 6354]  [1223 3716]
                               USD.MWh  1     [33 114]   102        [63 197]   [224 347]  [70 234]
                         EC 2
                 LCA     EN 1  gCO 2 -eq.kWh   1  [950 1300]  [40 110]  [17 388]  [8 50]  [8 55]
                               gSO 2 -eq.kWh  1  [0.7 11]  [2 7]    [0.2 0.8]  0.04       [0.05 0.3]
                         EN 2
                               gSb-eq.kWh  1  [5 10]     [3 8]      [0.1 1.1]  0.05       [0.1 0.4]
                         EN 3
                               gPO 4 -eq.kWh  1  [0.1 0.6]  [0.05 0.22]  [0.07 0.6]  0.01  [0.01 0.04]
                         EN 4
                 SLCA    S 1   /              VB,VB,B    MB,PB,M    MG,M,MG    PG,G,G     VG,G,VG
                               /              VG,VG,VG   VG,VG,G    G,G,VG     M,MB,MB    MG,M,M
                         S 2
                 Reference: Santoyo-Castelazo (2011).
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