[Retracted] A Novel Group Decision-Making Approach for Hesitant Fuzzy Linguistic Term Sets and Its Application to VIKOR

Table 19

The results of the VIKOR method based on the proposed GDM approach.

(a) The values S, R, and Q and the preference ranking order in the case of “for the most”
x1	[0.435, 0.859]	[0.128, 0.210]	[0.451−0.036, 1−0.023]
x2	[0.274, 0.763]	[0.131, 0.190]	[0.471−0.270, 0.867−0.017]
x3	[0.122, 0.536]	[0.060, 0.120]	[0, 0.399 + 0.150]
x4	[0.227, 0.754]	[0.098, 0.201]	[0.254−0.116, 0.937−0.099]
x5	[0.408, 0.876]	[0.123, 0.183]	[0.421−0.042, 0.819 + 0.181]
Ranking order			Compromise solution set; {x3},; {x3, x4},
(b) The values S, R, and Q and the preference ranking order in the case of “at least half”
x1	[0.440, 0.829]	[0.123, 0.210]	[0.504−0.045, 1−0.049]
x2	[0.254, 0.804]	[0.136, 0.190]	[0.578−0.354, 0.887 + 0.032]
x3	[0.077, 0.521]	[0.034, 0.120]	[0, 0.489 + 0.072]
x4	[0.198, 0.746]	[0.083, 0.190]	[0.279−0.125, 0.889−0.044]
x5	[0.376, 0.868]	[0.110, 0.180]	[0.431−0.053, 0.830 + 0.170]
Ranking order			Compromise solution set; {x3},; {x3, x4},
(c) The values S, R, and Q and the preference ranking order in the case of “as much as possible”
x1	[0.410, 0.865]	[0.123, 0.210]	[0.410−0.024, 1−0.010]
x2	[0.268, 0.740]	[0.120, 0.189]	[0.387−0.190, 0.857−0.033]
x3	[0.120, 0.533]	[0.063, 0.120]	[0, 0.389 + 0.161]
x4	[0.207, 0.745]	[0.104, 0.208]	[0.279−0.163, 0.987−0.156]
x5	[0.399, 0.873]	[0.117, 0.185]	[0.366−0.005, 0.830 + 0.170]
Ranking order			Compromise solution set; {x3},; {x3, x4},