. 2023 Jan 20:1–34. Online ahead of print. doi: 10.1007/s40747-022-00953-w

Table 21.

Comparative analysis of aggregate operators

	WA	NA	PA	WFAWA (our)	Ranking
q = 3	$U_{1} = 0.2415$ $U_{2} = 0.0307$ $U_{3} = 0.5370$ $U_{4} = 0.4424$ $U_{5} = 0.7494$	$U_{1} = 0.2039$ $U_{2} = - 0.0420$ $U_{3} = 0.4659$ $U_{4} = 0.3630$ $U_{5} = 0.7647$	$U_{1} = 0.2476$ $U_{2} = 0.0007$ $U_{3} = 0.5064$ $U_{4} = 0.4175$ $U_{5} = 0.8035$	$U_{1} = 0.1980$ $U_{2} = - 0.0476$ $U_{3} = 0.5136$ $U_{4} = 0.3880$ $U_{5} = 0.8082$	WA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
					NA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
					PA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
					WFAWA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
q = 4	$U_{1} = 0.2611$ $U_{2} = 0.0513$ $U_{3} = 0.5636$ $U_{4} = 0.4763$ $U_{5} = 0.7534$	$U_{1} = 0.2229$ $U_{2} = - 0.0277$ $U_{3} = 0.4858$ $U_{4} = 0.3850$ $U_{5} = 0.7618$	$U_{1} = 0.2779$ $U_{2} = 0.0200$ $U_{3} = 0.5307$ $U_{4} = 0.4491$ $U_{5} = 0.8017$	$U_{1} = 0.2239$ $U_{2} = - 0.0323$ $U_{3} = 0.5354$ $U_{4} = 0.4052$ $U_{5} = 0.8218$	WA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
					NA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
					WA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
					WFAWA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
q = 5	$U_{1} = 0.2694$ $U_{2} = 0.0668$ $U_{3} = 0.5820$ $U_{4} = 0.4988$ $U_{5} = 0.7624$	$U_{1} = 0.2339$ $U_{2} = - 0.0171$ $U_{3} = 0.5004$ $U_{4} = 0.4020$ $U_{5} = 0.7593$	$U_{1} = 0.2964$ $U_{2} = 0.0343$ $U_{3} = 0.5481$ $U_{4} = 0.4733$ $U_{5} = 0.8013$	$U_{1} = 0.2362$ $U_{2} = - 0.0267$ $U_{3} = 0.5453$ $U_{4} = 0.4127$ $U_{5} = 0.8318$	WA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
					NA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
					PA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
					WFAWA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
q = 6	$U_{1} = 0.2722$ $U_{2} = 0.0780$ $U_{3} = 0.5948$ $U_{4} = 0.5129$ $U_{5} = 0.7754$	$U_{1} = 0.2405$ $U_{2} = - 0.0088$ $U_{3} = 0.5119$ $U_{4} = 0.4153$ $U_{5} = 0.7573$	$U_{1} = 0.3083$ $U_{2} = 0.0452$ $U_{3} = 0.5608$ $U_{4} = 0.4921$ $U_{5} = 0.8022$	$U_{1} = 0.2408$ $U_{2} = - 0.0263$ $U_{3} = 0.5486$ $U_{4} = 0.4148$ $U_{5} = 0.8428$	WA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
					NA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
					PA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
					WFAWA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
q = 7	$U_{1} = 0.2743$ $U_{2} = 0.0864$ $U_{3} = 0.6032$ $U_{4} = 0.5203$ $U_{5} = 0.7890$	$U_{1} = 0.2461$ $U_{2} = - 0.0012$ $U_{3} = 0.5204$ $U_{4} = 0.4249$ $U_{5} = 0.7562$	$U_{1} = 0.3158$ $U_{2} = 0.0536$ $U_{3} = 0.5710$ $U_{4} = 0.5071$ $U_{5} = 0.8038$	$U_{1} = 0.2408$ $U_{2} = - 0.0289$ $U_{3} = 0.5487$ $U_{4} = 0.4138$ $U_{5} = 0.8544$	WA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
					NA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
					PA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$
					WFAWA $x_{5} > x_{3} > x_{4} > x_{1} > x_{2}$