Table 1.

Comparison based on Eq. (5).

(a) Compare A and B
Ordered attributes m	Option A	Option B	${\beta }_m^{\mathit{JND}}$	$\left|v_{l,m}^{\mathit{od}}-v_{l^{\prime },m}^{\mathit{od}}\right|$	${\beta }_m^{\mathit{JND}}min\left(v_{l,m}^{\mathit{od}},v_{l^{\prime },m}^{\mathit{od}}\right)$	Noticeable difference
Travel time (very important)	11.5 min	10 min	20%	1.5 min	2 min	No: 1.5 min < 2.0 min
Waiting time (important)	5 min	10 min	20%	5 min	1 min	Yes: 5 min > 1 min
Fare (least important)	$ 5	$ 4	10%	$ 1	$ 0.4	Yes: $1 > $0.4

(b) Compare B and C
Ordered Attributesm	Option B	Option C	${\beta }_m^{\mathit{JND}}$	$\left|v_{l,m}^{\mathit{od}}-v_{l^{\prime },m}^{\mathit{od}}\right|$	${\beta }_m^{\mathit{JND}}min\left(v_{l,m}^{\mathit{od}},v_{l^{\prime },m}^{\mathit{od}}\right)$	Noticeable difference
Travel time (very important)	10 min	9 min	20%	1 min	1.8 min	No: 1 min < 1.8 min
Waiting time (important)	10 min	9 min	20%	1 min	1.8 min	No: 1 min < 1.8 min
Fare (least important)	$ 4	$ 5	10%	$ 1	$ 0.4	Yes: $ 1 > $ 0.4

(c) Compare A and C
Ordered Attributesm	Option A	Option C	${\beta }_m^{\mathit{JND}}$	$\left|v_{l,m}^{\mathit{od}}-v_{l^{\prime },m}^{\mathit{od}}\right|$	${\beta }_m^{\mathit{JND}}min\left(v_{l,m}^{\mathit{od}},v_{l^{\prime },m}^{\mathit{od}}\right)$	Noticeable difference
Travel time (very important)	11.5 min	9 min	20%	2.5 min	1.8 min	Yes: 2.5 min > 1.8 min
Waiting time (important)	5 min	9 min	20%	4 min	1 min	Yes: 4 min > 1 min
Fare (least important)	$ 5	$ 5	10%	$ 0	$1	No: $ 0 < $1