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332   Biofuels for a More Sustainable Future


          the three alternative pathways for bioethanol production may change with
          respect to the criteria that may change when the stakeholders and decision-
          makers have been changed.
             In order to validate the developed fuzzy multicriteria decision making
          method for sustainability assessment and ranking of alternative pathways
          for biofuel production, the fuzzy sum weighted method (SWM) was also
          employed to determine the sustainability sequence of these three pathways
          for bioethanol production. These two methods were specified as follows.
             As for the fuzzy SWM, the integrated priority of each alternative path-
          way for biofuel production can be determined after determining the fuzzy
          multicriteria decision-making matrix (see Eq. 11.11) by Eq. (11.26).
                                    n
                                   X
                               e      e x ij e ω j i ¼ 1,2,…,m       (11.26)
                               P i ¼
                                   j¼1
          where e P i represents the integrated priority of the ith alternative for biofuel
          production.
             According to the data presented in Table 11.4, the integrated priority of
          each alternative pathway for biofuel production can be determined, as pre-
          sented in Eqs. (11.27)–(11.29)

                         ð
                                       ð
                                                     ð
             P Wheat based ¼ 0:1, 0:3, 0:5Þ  0:9, 1:0, 1:0Þ +0:1, 0:3, 0:5Þ
                                                                     (11.27)
                         ð
                         0:7, 0:9, 1:0Þ + ⋯ +0, 0, 0:1Þ  0:5, 0:7, 0:9Þ
                                           ð
                                                      ð
                       ¼ 0:6600, 1:8200, 3:5200Þ
                         ð
                                    ð
                                                  ð
           P Corn based ¼ 0:3, 0:5, 0:7ð  Þ  0:9, 1:0, 1:0Þ +0:9, 1:0, 1:0Þ
                                                                     (11.28)
                      0:7, 0:9, 1:0Þ + ⋯ +0:1, 0:3, 0:5Þ  0:5, 0:7, 0:9Þ
                                                      ð
                      ð
                                        ð
                      ð
                    ¼ 2:3700, 4:3700, 6:3300Þ
          P Cassava based ¼ 0:5, 0:7, 0:9ð  Þ  0:9, 1:0, 1:0Þ +0:5, 0:7, 0:9Þ
                                                   ð
                                     ð
                       0:7, 0:9, 1:0Þ + ⋯ +0:9, 1:0, 1:0Þ  0:5, 0:7, 0:9Þ (11.29)
                                         ð
                                                       ð
                       ð
                       ð
                     ¼ 2:1100, 4:0900, 6:3000Þ
             Then, the integrated priorities of the three alternative pathways for bio-
          fuel production can be ranked according to Eq. (11.10), and it could be
          obtained that P Corn-based  P Cassava-based  P Wheat-based . Therefore corn-based
          pathway was recognized as the most sustainable, followed by cassava- and
          wheat-based pathways, and the results determined by the fuzzy SWM are
          consistent to that determined by the proposed fuzzy multicriteria decision
          making in this study.
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