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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

