Linguistic Interval-Valued Intuitionistic Fuzzy Archimedean Power Muirhead Mean Operators for Multiattribute Group Decision-Making

Table 5

The details and results of the quantitative comparison.

Benchmark	Decision-making method	Used AOs	Value of arguments	The calculated scores of all options				The generated ranking
				S (α1)	S (α2)	S (α3)	S (α4)
Example in this paper	Garg and Kumar [55]	WA, WA	—	6.1654	5.8171	5.5985	4.8181
	Garg and Kumar [55]	WG, WG	—	5.9921	5.5132	5.3441	4.5370
	Kumar and Garg [56]	PWA, PWA	—	6.1654	5.8171	5.5985	4.8181
	Kumar and Garg [56]	PWG, PWG	—	5.9921	5.5132	5.3441	4.5370
	Liu and Qin [57]	WMSM, WMSM	k = 1, k = 3	5.4523	5.0127	5.2577	4.7343
	The designed method	WPMM, WPMM	Q = (1, 0, 0), Q = (1, 2, 3, 0)	5.7674	5.4217	5.3606	4.7043
Example in [55]	Garg and Kumar [55]	WA, WA	—	5.3457	4.6145	5.1125	4.9687
	Garg and Kumar [55]	WG, WG	—	5.1069	4.3577	4.9218	4.5868
	Kumar and Garg [56]	PWA, PWA	—	5.3457	4.6145	5.1125	4.9687
	Kumar and Garg [56]	PWG, PWG	—	5.1069	4.3577	4.9218	4.5868
	Liu and Qin [57]	WMSM, WMSM	k = 1, k = 3	5.1768	4.2902	4.7499	4.6151
	The designed method	WPMM, WPMM	Q = (1, 0, 0), Q = (1, 2, 3, 0)	5.2054	4.3988	4.8582	4.6997
Example in [57]	Garg and Kumar [55]	WA	—	6.2621	6.2709	5.6111	5.5823
	Garg and Kumar [55]	WG	—	6.1407	6.1620	5.3326	5.2541
	Kumar and Garg [56]	PWA, PWA	—	6.2621	6.2709	5.6111	5.5823
	Kumar and Garg [56]	PWG, PWG	—	6.1407	6.1620	5.3326	5.2541
	Liu and Qin [57]	WMSM	k = 3	6.1034	6.0611	5.5196	5.1819
	The designed method	WPMM	Q = (1, 2, 3, 0, 0)	6.1584	6.1157	5.5637	5.3056