Table 17.

Alternative rankings with the fuzzy full multiplicative form-HFBWM

Supplier	${\tilde{A}}_i$			${\tilde{B}}_i$			Non-fuzzy ${\tilde{A}}_i$	Non-fuzzy ${\tilde{B}}_i$	${\widetilde{U^{\prime }}}_i=\frac{{\tilde{A}}_i}{{\tilde{B}}_i}$	Fuzzy full multiplicative ranking
S1	0.856	0.931	0.975	0.845	0.921	0.969	0.921	0.911	1.01	7
S2	0.897	0.938	0.964	0.765	0.872	0.988	0.933	0.875	1.066	1
S3	0.882	0.934	0.969	0.76	0.895	0.983	0.929	0.879	1.056	2
S4	0.861	0.931	0.973	0.806	0.914	0.976	0.922	0.899	1.026	3
S5	0.819	0.926	0.98	0.854	0.922	0.967	0.908	0.914	0.994	8
S6	0.824	0.927	0.979	0.869	0.925	0.962	0.91	0.919	0.991	9
S7	0.889	0.936	0.966	0.86	0.923	0.965	0.931	0.916	1.016	5
S8	0.889	0.936	0.967	0.852	0.922	0.966	0.931	0.914	1.019	4
S9	0.811	0.925	0.981	0.88	0.929	0.956	0.906	0.922	0.983	10
S10	0.892	0.937	0.965	0.865	0.925	0.962	0.931	0.917	1.015	6
S11	0.793	0.914	0.985	0.863	0.924	0.963	0.897	0.917	0.979	11
S12	0.791	0.915	0.985	0.869	0.924	0.962	0.897	0.919	0.977	12