Page 283 - Materials Chemistry, Second Edition

13.3 Case study 281
Step 1: Determining the decision-making matrix with multi-type data. It is apparent that
all the data of these five electricity generation technologies derived from the literature are in-
terval numbers or real numbers. It is very easy to transform the real numbers into interval
numbers. For instance, the data of the electricity based on ocean energy with respect to acid-
1
ification potential (EN 2 ) is 0.04 gSO 2 -eq.kWh , and it can be transformed into interval num-
1
ber [0.04 0.04] g SO 2 -eq.kWh . In a similar way, all the real numbers can be transformed into
the format of interval numbers.
As for the relative performances of the five alternative electricity generation systems de-
scribed by using linguistic variables, these can be transformed into average intuitionistic
fuzzy numbers by Eq. (13.15). Then, the average intuitionistic fuzzy numbers can be
transformed into interval numbers by Eq. (13.16). Taking the electricity generation system
based on coal with respect to public acceptability (S 1 ) as an example, three linguistic
variables, including VB, VB, and B were used, and they correspond to (0,0.10,0.85,0.05),
(0,0.10,0.85,0.05), and (0.20,0.70,0.10). The average intuitionistic fuzzy score can be deter-
mined, as presented in Eq. (13.39).
Þ,0:85 0:85 0:70,

1 1 0:1ð Þ 1 0:1ð Þ 1 0:2ð
x ij ¼
Þ 0:85 0:85 0:70 (13.39)
ð 1 0:1Þ 1 0:1ð Þ 1 0:2ð
¼ 0:352, 0:50575, 0:14225ð Þ
After this, the average intuitionistic fuzzy score can be transformed into an interval
number.
h L U i
x ¼ x ij x ij ¼ 0:352 1 0:50575½ Š ¼ 0:352 0:49425½ Š (13.40)

ij
In a similar way, all the data of these five electricity generation systems with respect to
public acceptability (S 1 ) and technology maturity (S 2 ) can be determined (Table 13.3).
Step 2: Normalizing the decision-making matrix. There are two benefit-type criteria (S 1
and S 2 ) and six cost-type criteria (EC 1 ,EC 2 ,EN 1 ,EN 2 ,EN 3 and EN 4 ). The data with respect
to these two benefit-type criteria can be normalized by Eqs. (13.19), (13.20), the data with

TABLE 13.3 The performance of the five alternative electricity generation systems by using interval numbers.

Coal Oil Biomass Ocean Wind
LCC EC 1 USD.kW 1 [602 4671] [1817 1817] [2500 7431] [3186 6354] [1223 3716]

EC 2 USD.MWh 1 [33 114] [102 102] [63 197] [224 347] [70 234]
LCA EN 1 gCO 2 -eq.kWh 1 [950 1300] [40 110] [17 388] [8 50] [8 55]

EN 2 gSO 2 -eq.kWh 1 [0.7 11] [2 7] [0.2 0.8] [0.04 0.04] [0.05 0.3]
EN 3 gSb-eq.kWh 1 [5 10] [3 8] [0.1 1.1] [0.05 0.05] [0.1 0.4]
EN 4 gPO 4 -eq.kWh 1 [0.1 0.6] [0.05 0.22] [0.07 0.6] [0.01 0.01] [0.01 0.04]
SLCA S 1 / [0.352 [0.79 0.89] [0.92 0.98] [0.988 [0.998
0.49425] 0.9985] 0.99975]
/ [0.999 [0.998 [0.996 [0.82 0.92] [0.90 0.95]
S 2
0.999875] 0.99975] 0.9995]