Table 15.

Alternative rankings with fuzzy RP-HFBWM

Supplier	$\left(\underset{j}{max}{W}_j\times \left|{\tilde{r}}_j-{\tilde{x}}_{\mathit{ij}}^{\ast }\right|\right)$			BNPi	Fuzzy reference point ranking
S1	0.009	0.01	0.003	0.008	7
S2	0.003	0	0.01	0.003	1
S3	0	0.008	0.007	0.006	2
S4	0.003	0.009	0.006	0.007	3
S5	0.01	0.011	0.003	0.009	8
S6	0.012	0.011	0.001	0.009	10
S7	0.008	0.01	0.004	0.008	5
S8	0.008	0.01	0.004	0.008	4
S9	0.014	0.012	0	0.009	12
S10	0.009	0.01	0.003	0.008	6
S11	0.011	0.011	0.002	0.009	9
S12	0.012	0.011	0.001	0.009	11