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386 Biofuels for a More Sustainable Future

Table 14.4 The comparison matrix for determining the weights of the four criteria in
environmental aspect

CC TA H.Tox PMF
Multiplicative preference relation
CC [1 1] [3 5] [2 3] [3 4]
TA [1/5 1/3] [1 1] [1/3 1] [1/2 1]
H.Tox [1/3 1/2] [1 3] [1 1] [1 2]
PMF [1/4 1/3] [1 2] [1/2 1] [1 1]
Fuzzy preference relation
CC [1/2 1/2] [3/4 5/6] [2/3 3/4] [3/4 4/5]
TA [1/6 1/4] [1/2 1/2] [1/4 1/2] [1/3 1/2]
H.Tox [1/4 1/3] [1/2 3/4] [1/2 1/2] [1/2 2/3]
PMF [1/5 1/4] [1/2 2/3] [1/3 1/2] [1/2 1/2]
Weights [0.2100 [0 0.1989] [0.1627 [0.0306
0.4089] 0.3616] 0.2295]

Table 14.5 The comparison matrix for determining the weights of the four criteria in
environmental aspect

SB CED FS
Multiplicative preference relation
SB [1 1] [1/3 1/2] [1/6 1/4]
CED [2 3] [1 1] [1/4 1/2]
FS [4 6] [2 4] [1 1]
Fuzzy preference relation
SB [1/2 1/2] [1/4 1/3] [1/7 1/5]
CED [2/3 3/4] [1/2 1/2] [1/5 1/3]
FS [4/5 6/7] [2/3 4/5] [1/2 1/2]
Weights [0.1084 0.1232] [0.1953 0.2988] [0.5780 0.6963]

Table 14.6 The global weights of the eight criteria
Pillars Criteria Local weights Global weights
CC [0.2100 0.4089] [0.1231 0.2997]
EN [0.5860 0.7329] TA [0 0.1989] [0 0.1458]
H.Tox [0.1627 0.3616] [0.0953 0.2650]
PMF [0.0306 0.2295] [0.0179 0.1682]
EC [0.1653 0.3122] LCC [1.0000 1.0000] [0.1653 0.3122]
SB [0.1084 0.1232] [0.0103 0.0125]
S [0.0947 0.1018] CED [0.1953 0.2988] [0.0185 0.0304]
FS [0.5780 0.6963] [0.0547 0.0709]