Induced Unbalanced Linguistic Ordered Weighted Average and Its Application in Multiperson Decision Making

Table 9

Fuzzy terms and features used during the comparison.

Case	ULOWA pair	Membership function (𝑝1,𝑝2,𝑝3,𝑝4)	Specificity	Fuzziness	Index	Induced order
1	𝑠−3,𝑠−1	(0, 0.125, 0.375, 0.5)	0.625	0.125	0	4
	𝑠0,𝑠1	(0.375, 0.5, 0.625, 0.75)	0.75	0.125	2	2
	𝑠−1,𝑠0	(0.25, 0.375, 0.5, 0.625)	0.75	0.125	1	1
	𝑠1,𝑠3	(0.5, 0.625, 0.875, 1)	0.625	0.125	3	3
2	𝑠1,𝑠3	(0.5, 0.625, 0.875, 1)	0.625	0.125	3	2
	𝑠−1,𝑠4	(0.25, 0.375, 1, 1)	0.3125	0.062	1	4
	𝑠−3,𝑠0	(0, 0.125, 0.5, 0.625)	0.5	0.125	0	3
	𝑠1,𝑠2	(0.5, 0.625, 0.75, 0.875)	0.75	0.125	2	1
3	𝑠−3,𝑠2	(0, 0.125, 0.75, 0.875)	0.25	0.125	1	4
	𝑠−4,𝑠1	(0, 0, 0.625, 0.75)	0.3125	0.062	0	3
	𝑠2,𝑠4	(0.625, 0.75, 1, 1)	0.6875	0.062	2	2
	𝑠3,𝑠4	(0.75, 0.875, 1, 1)	0.8125	0.062	3	1