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# Table 2 Decision results based on the NLNWGA operator by choosing different indeterminate ranges for I in NLNs

I

NLNWGA

Ranking

I âˆˆ [âˆ’0.7, 0]

E($$\bar{l}_{1}$$) = 0.6285, E($$\bar{l}_{2}$$) = 0.6470, E($$\bar{l}_{3}$$) = 0.6887, E($$\bar{l}_{4}$$) = 0.6956

u 4 â‰» u 3 â‰» u 2 â‰» u 1

I âˆˆ [âˆ’0.5, 0]

E($$\bar{l}_{1}$$) = 0.6369, E($$\bar{l}_{2}$$) = 0.6518, E($$\bar{l}_{3}$$) = 0.6968, E($$\bar{l}_{4}$$) = 0.7039

u 4 â‰» u 3 â‰» u 2 â‰» u 1

I âˆˆ [âˆ’0.3, 0]

E($$\bar{l}_{1}$$) = 0.6452, E($$\bar{l}_{2}$$) = 0.6566, E($$\bar{l}_{3}$$) = 0.7050, E($$\bar{l}_{4}$$) = 0.7122

u 4 â‰» u 3 â‰» u 2 â‰» u 1

I âˆˆ [âˆ’0.1, 0]

E($$\bar{l}_{1}$$) = 0.6535, E($$\bar{l}_{2}$$) = 0.6614, E($$\bar{l}_{3}$$) = 0.7131, E($$\bar{l}_{4}$$) = 0.7205

u 4 â‰» u 3 â‰» u 2 â‰» u 1

I = 0

E($$\bar{l}_{1}$$) = 0.6577, E($$\bar{l}_{2}$$) = 0.6638, E($$\bar{l}_{3}$$) = 0.7172, E($$\bar{l}_{4}$$) = 0.7247

u 4 â‰» u 3 â‰» u 2 â‰» u 1

I âˆˆ [0, 0.1]

E($$\bar{l}_{1}$$) = 0.6619, E($$\bar{l}_{2}$$) = 0.6662, E($$\bar{l}_{3}$$) = 0.7213, E($$\bar{l}_{4}$$) = 0.7288

u 4 â‰» u 3 â‰» u 2 â‰» u 1

I âˆˆ [0, 0.3]

E($$\bar{l}_{1}$$) = 0.6702, E($$\bar{l}_{2}$$) = 0.6710, E($$\bar{l}_{3}$$) = 0.7294, E($$\bar{l}_{4}$$) = 0.7371

u 4 â‰» u 3 â‰» u 2 â‰» u 1

I âˆˆ [0, 0.5]

E($$\bar{l}_{1}$$) = 0.6786, E($$\bar{l}_{2}$$) = 0.6758, E($$\bar{l}_{3}$$) = 0.7376, E($$\bar{l}_{4}$$) = 0.7454

u 4 â‰» u 3 â‰» u 1 â‰» u 2

I âˆˆ [0, 0.7]

E($$\bar{l}_{1}$$) = 0.6869, E($$\bar{l}_{2}$$) = 0.6806, E($$\bar{l}_{3}$$) = 0.7457, E($$\bar{l}_{4}$$) = 0.7537

u 4 â‰» u 3 â‰» u 1 â‰» u 2