Research Article

Multiattribute Decision-Making Problems in terms of the Weighted Mean Operation of Two Aggregation Operators of Orthopair Z-Numbers

Table 2

Decision results regarding different MADM models.

MADM modelAggregated valueScore valueSorting

Presented MADM model with β1 = 1HOZN1 = <(0.7000, 0.7778), (0.2000, 0.7991)>
HOZN2 = <(0.7570, 0.7300), (0.1000, 0.8268)>
HOZN3 = <(0.6767, 0.8190), (0.2240, 0.7267)>
HOZN4 = <(0.6908, 0.7987), (0.1841, 0.7483)>
C(HOZN1) = 0.3846
C(HOZN2) = 0.4700
C(HOZN3) = 0.3914
C(HOZN4) = 0.4140
B2 > B4 > B3 > B1

Presented MADM method with β1 = 0.5HOZN1 = <(0.7000, 0.7752), (0.2000, 0.8069)>
HOZN2 = <(0.7537, 0.7274), (0.1000, 0.8310)>
HOZN3 = <(0.6746, 0.8031), (0.2267, 0.7294)>
HOZN4 = <(0.6819, 0.7875), (0.1924, 0.7517)>
C(HOZN1) = 0.3813
C(HOZN2) = 0.4651
C(HOZN3) = 0.3764
C(HOZN4) = 0.3924
B2 > B4 > B1 > B3

Presented MADM method with β1 = 0HOZN1 = <(0.7000, 0.7727), (0.2000, 0.8149)>
HOZN2 = <(0.7503, 0.7247), (0.1000, 0.8353)>
HOZN3 = <(0.6725, 0.7858), (0.2294, 0.7322)>
HOZN4 = <(0.6728, 0.7757), (0.2011, 0.7551)>
C(HOZN1) = 0.3779
C(HOZN2) = 0.4603
C(HOZN3) = 0.3605
C(HOZN4) = 0.3700
B2 > B1 > B4 > B3

Existing MADM model using the IFNWAM operator [4]zIFV1 = <0.7000, 0.2000>
zIFV2 = <0.7570, 0.1000>
zIFV3 = <0.6767, 0.2240>
zIFV4 = <0.6908, 0.1841>
C(zIFV1) = 0.5000
C(zIFV2) = 0.6570
C(zIFV3) = 0.4527
C(zIFV4) = 0.5067
B2 > B4 > B1 > B3

Existing MADM method using the IFNWGM operator [3]zIFV1 = <0.7000, 0.2000>
zIFV2 = <0.7503, 0.1000>
zIFV3 = <0.6725, 0.2294>
zIFV4 = <0.6728, 0.2011>
C(zIFV1) = 0.5000
C(zIFV2) = 0.6503
C(zIFV3) = 0.4431
C(zIFV4) = 0.4716
B2 > B1 > B4 > B3