Threshold-Enhanced PROMETHEE Group Decision Support under Uncertainties

Table 4

Comparison of a preference change in the DM resulting from small changes of thresholds.

Threshold change		Preference change ΔPj(dj)			Note
Indifference	Preference	Type V function	S-shaped function
Δqj	Δpj		Gain	Loss
0.01	---	−0.026316	−0.023256	−0.023133	Change in indifference threshold only
-0.01	---	0.023810	0.020753	0.020634
---	0.02	−0.045455	−0.040394	−0.040185	Change in preference threshold only
---	−0.02	0.055556	0.048024	0.047738
0.01	0.02	−0.071429	−0.063973	−0.063657	Change in both thresholds in the same direction
-0.01	−0.02	0.078947	0.067845	0.067430
0.01	−0.02	0.029412	0.025598	0.025450	Change in both thresholds in the opposite directions
-0.01	0.02	−0.021739	−0.019187	−0.019084

Note. Other parameter sets in Table 3 keep the same properties.