Table 5 AHP-BWM simulation results on...

Table 5

AHP-BWM simulation results on total deviation (⁠ $T D$ ⁠) for $C r i t e r i a = 3$ (as % of number of simulations)

	Observations
	5	10	15	20	25	30	35	40	45	50	60	70	80	90	100
5A. Equal performance (⁠ ${T D}_{A H P ‐ B W M} = {T D}_{A H P}$ ⁠)
$K = 100$	69.0	15.0	2.0	0	0	0	0	0	0	0	0	0	0	0	0
$K = 300$	73.7	14.3	1.7	0	0	0	0	0	0	0	0	0	0	0	0
$K = 500$	73.6	14.6	1.6	0.2	0	0	0	0	0	0	0	0	0	0	0
$K = 1000$	71.6	15.6	1.5	0.1	0.1	0	0	0	0	0	0	0	0	0	0
5B. AHP-BWM outperforms AHP (⁠ ${T D}_{A H P ‐ B W M} < {T D}_{A H P}$ ⁠)
$K = 100$	31.0	85.0	98.0	100	100	100	100	100	100	100	100	100	100	100	100
$K = 300$	26.3	85.7	98.3	100	100	100	100	100	100	100	100	100	100	100	100
$K = 500$	26.4	85.4	98.4	99.8	100	100	100	100	100	100	100	100	100	100	100
$K = 1000$	28.4	84.4	98.5	99.9	99.9	100	100	100	100	100	100	100	100	100	100
5C. AHP outperforms AHP-BWM (⁠ ${T D}_{A H P} < {T D}_{A H P ‐ B W M}$ ⁠)
$K = 100$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
$K = 300$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
$K = 500$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
$K = 1000$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

	Observations
5A. Equal performance ( ${T D}_{A H P ‐ B W M} = {T D}_{A H P}$ )
$K = 100$	69.0	15.0	2.0	0	0	0	0	0	0	0	0	0	0	0	0
$K = 300$	73.7	14.3	1.7	0	0	0	0	0	0	0	0	0	0	0	0
$K = 500$	73.6	14.6	1.6	0.2	0	0	0	0	0	0	0	0	0	0	0
$K = 1000$	71.6	15.6	1.5	0.1	0.1	0	0	0	0	0	0	0	0	0	0
5B. AHP-BWM outperforms AHP ( ${T D}_{A H P ‐ B W M} < {T D}_{A H P}$ )
$K = 100$	31.0	85.0	98.0	100	100	100	100	100	100	100	100	100	100	100	100
$K = 300$	26.3	85.7	98.3	100	100	100	100	100	100	100	100	100	100	100	100
$K = 500$	26.4	85.4	98.4	99.8	100	100	100	100	100	100	100	100	100	100	100
$K = 1000$	28.4	84.4	98.5	99.9	99.9	100	100	100	100	100	100	100	100	100	100
5C. AHP outperforms AHP-BWM ( ${T D}_{A H P} < {T D}_{A H P ‐ B W M}$ )
$K = 100$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
$K = 300$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
$K = 500$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
$K = 1000$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Note(s): This table presents the total deviation (⁠ $T D$ ⁠) comparison between AHP and AHP-BWM for the cases that $C r i t e r i a = 3$ ⁠. For the cases that $C r i t e r i a > 3$ ⁠, AHP-BWM produces 100% results with lower $T D$ values than AHP and is thus not reported. $O b s e r v a t i o n s$ represents the group size of the number of alternatives, and $K$ denotes the number of simulations

Source(s): Author’s own work

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