A Novel TOPSIS Method Based on Improved Grey Relational Analysis for Multiattribute Decision-Making Problem

Table 4

The ranking results of the comprehensive grey TOPSIS evaluation in this paper.

	Normalized decision matrix											evaluation results	Rank
		Drop out of alternative set
	1	0.1842	1	0.875	1.0000	1	0	0.6667	0.7179	0.6004	0.7143	0.5557	2
	0.875	1	0.8	1	0.8913	1	1	0.8333	1	0.6004	0.4286	0.6387	1
	0.6	0.4211	0.8	1	0.7283	0.7143	0.2	0.667	1	0.3105	0.4286	0.4982	3
	0.25	0.0105	0	0.8958	0.2609	0	0	0	0	0	0	0.2339	6
	0	0	0.2	0.0833	0.0435	0.2857	0	1	0.5128	0.941	1	0.3908	5
	0.05	0	0.2	0	0	0.2857	1	0.9867	0.9744	1	1	0.4698	4
	Add a new alternative to the original alternative set
	1	0.1842	1	0.875	1	1	0.5	0.6667	0.7179	0.6004	0.6667	0.6145	2
	0.875	1	0.8	1	0.8913	1	1	0.8333	1	0.6004	0.4	0.6733	1
	0.6	0.4211	0.8	1	0.7283	0.7143	0.6	0.6667	1	0.3105	0.4	0.5467	3
	0.25	0.0105	0	0.8958	0.2609	0	0.5	0	0	0	0	0.2577	8
	0	0	0.2	0.0833	0.0435	0.2857	0.5	1	0.5128	0.941	0.9333	0.4134	7
	0.05	0	0.2	0	0	0.2857	1	0.9867	0.9744	1	0.9333	0.4794	5
	0.05	0.0053	0.2	0	0	0.2857	0	1	0.9744	1	1	0.4301	6
	0.05	0	0.22	0	0	0.3571	1	1	0.9744	1	1	0.4940	4