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... decision-makers employ a weighting vector í µí±¤ = (0.25, 0.18, 0.32,0.10,0.15) and the result obtained is shown in Table 3. Step 3. The aggregated PNS set has been verified and it satisfies the conditions outlined in Definition 6 where 0 ≤ (í µí¼ í µí°´(µí°´(í µí±¥)) 2 + (í µí¼ í µí°´(µí°´(í µí±¥)) 2 ≤ 1 and 0 ≤ (í µí¼ í µí°´(µí°´(í µí±¥)) 2 + (í µí¼ í µí°´(µí°´(í µí±¥)) 2 + (í µí¼ í µí°´(µí°´(í µí±¥)) 2 ≤ 2 as shown in Table 4. Step 5. Table 6 presents the ranking of the suppliers according to the crisp value that has been aggregated by PNNWGBM operator. Therefore, Supplier 4 is the most recommended alternative for the company to choose. ...