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374   Biofuels for a More Sustainable Future


          Table 13.11 The ideal and antiideal intuitionistic fuzzy solutions
                           Ideal solutions              Antiideal solutions
          LCC              (0.5765,0.3002,0.1233)       (0.2683,0.6275,0.1061)
          CC               (0.7614,0.1699,0.0687)       (0.2975,0.5950,0.1075)
          TA               (0.6375,0.2350,0.1275)       (0.2540,0.6373,0.1088)
          H.Tox            (0.6388,0.2663,0.0949)       (0.1972,0.7033,0.0995)
          PMF              (0.6388,0.2663,0.0949)       (0.1089,0.8415,0.0496)
          TM               (0.4586,0.4078,0.1336)       (0.3056,0.5842,0.1102)
          SB               (0.3174,0.5600,0.1226)       (0.2486,0.6388,0.1126)
          CED              (0.4133,0.4671,0.1196)       (0.2767,0.5075,0.1158)
          FS               (0.4916,0.3719,0.1365)       (0.0965,0.8474,0.0561)


          Table 13.12 The ideal and antiideal intuitionistic fuzzy solutions
                                           Wheat-      Corn-      Cassava-
                                           based       based      based
          Degree of the similarity to ideal  0.6098    0.8714     0.8527
            solutions
          Degree of the similarity to antiideal  0.9462  0.6633   0.7071
            solutions
          Relative similarity measure of each  0.3919  0.5678     0.5467
            alternative
          Ranking                          3           1          2


          intuitionistic fuzzy solution can be determined by Eqs. (13.27), (13.28), and
          the results are presented in Table 13.12.
             Finally, the relative similarity measure of each alternative bioethanol pro-
          duction pathway can also be determined by Eq. (13.29), and the results are
          also presented in Table 13.12. It is apparent that the corn-based pathway for
          bioethanol production is most sustainable, followed by cassava- and wheat-
          based pathways in the descending order.



          4 Conclusions

          This study aims at developing a multicriteria intuitionistic fuzzy group
          decision-making method for sustainability ranking of alternative bioethanol
          production pathways based on intuitionistic fuzzy theory which allows mul-
          tiple groups of decision-makers/stakeholders to participate in the decision-
          making and allows the decision-makers to use intuitionistic fuzzy numbers
          to rate the alternative with respect to the evaluation criteria and determine
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