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

Table 10

Aggregation of terms.

Case	Terms to aggregate	Policy	Weights	Xu-IULOWA	Our proposal
1	1,𝑠−1,𝑠0,2,𝑠0,𝑠1,3,𝑠1,𝑠3,4,𝑠−3,𝑠−1	𝑎=1	(0.273,0.273,0.227,0.227)	𝑠−0.72,𝑠0.72	𝑠0
		𝑎=0.5	(0.523,0.216,0.140,0.121)	𝑠−0.74,𝑠0.51	𝑠0
		𝑎=0.1	(0.878,0.063,0.033,0.026)	𝑠−0.92,𝑠0.13	𝑠0, almost 𝑠−1
2	1,𝑠1,𝑠2,2,𝑠1,𝑠3,3,𝑠−3,𝑠0,4,𝑠−1,𝑠4	𝑎=1	(0.343,0.285,0.228,0.144)	𝑠−0.20,𝑠2.11	𝑠1
		𝑎=0.5	(0.585,0.207,0.133,0.075)	𝑠0.31,𝑠2.09	𝑠1
		𝑎=0.1	(0.898,0.056,0.030,0.016)	𝑠0.84,𝑠2.02	𝑠1, almost 𝑠2
3	1,𝑠3,𝑠4,2,𝑠2,𝑠4,3,𝑠−4,𝑠1,4,𝑠−3,𝑠2	𝑎=1	(0.394,0.333,0.151,0.122)	𝑠0.87,𝑠3.30	𝑠2
		𝑎=0.5	(0.627,0.225,0.084,0.064)	𝑠1.80,𝑠3.62	𝑠2, almost 𝑠3
		𝑎=0.1	(0.911,0.057,0.018,0.014)	𝑠2.73,𝑠3.91	𝑠3