Intuitionistic Fuzzy Aggregation Techniques - Intuitionistic Fuzzy Aggregation and Clustering - page 96

The scores for alternatives obtained by the HIFWA operator

Fig. 1.12 The scores for alternatives obtained by the HIFWA operator

of the alternatives obtained by the HIFWG operator, and as the values of increase

from 0 to 10, we can find that the scores for the alternatives increase. Figure 1.14
illustrates the deviation values between the scores obtained by the HIFWA operator
and the ones obtained by the HIFWG operator. It is noted that the scores obtained by
the HIFWA operator are bigger than the ones obtained by the HIFWG operator, and
as the values of

γ

1, then the
scores and the ranking of the alternatives obtained in Fig. 1.12 are the ones obtained
by the IFWA operator (Xu 2007), and the results obtained in Fig. 1.13 are just the
ones obtained by the IFWG operator (Xu and Yager 2006).
If we use the FIFWA or FIFWG operator instead of the HIFWA or HIFWG
operator to aggregate the attribute values for the alternatives, then scores for each
alternative can be found in Figs. 1.15 and 1.16 (Xia et al. 2012c), respectively.
Figure 1.15 gives the scores of the alternatives obtained by the FIFWA operator

γ increase, the deviations decrease. Moreover, if γ =

as is assigned different values, we can find that the scores for the alternatives

decrease as the values of the parameter

γ

increase from 0 to 100. Figure 1.16 shows
the scores of the alternatives obtained by the FIFWG operator, and as the values of
γ

γ

increase from 0 to 100, we can find that the scores for the alternatives increase.
Figure 1.17 (Xia et al. 2012c) illustrates the deviation values between the scores
obtained by the FIFWA operator and the ones obtained by the FIFWG operator. It
is noted that the scores obtained by the HIFWA operator are bigger than the ones
obtained by the HIFWG operator as the values of

increase.
From the above analysis, we can find that the parameter

γ

can be considered
as a reflection of the decision makers' preferences, as the parameter

γ

is assigned
different values, the scores of the alternatives are different, and the rankings of the

γ