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Table 5 Illustration of OWA calculation for four criteria values, for the linguistic quantifier 2

From: A multi-criteria spatial deprivation index to support health inequality analyses

j Criterion values Criterion weights w j Ordered criterion values z ij Ordered criterion weights u ij \( {\left({\displaystyle \sum_{\boldsymbol{k}=1}^{\boldsymbol{j}}}{\boldsymbol{u}}_{\boldsymbol{k}}\right)}^{\propto } \) v j v j *z ij
1 0,20 0,30 0,80 0,35 (0,35)2 = 0,1225 (0,1225 - 0) = 0,1225 0,098
2 0,80 0,35 0,50 0,10 (0,45)2 = 0,2025 (0,2025 -0,1225) = 0,08 0,04
3 0,50 0,10 0,30 0,25 (0,70)2 = 0,49 (0,49-0,2025) = 0,2875 0,08625
4 0,30 0,25 0,20 0,30 (1)2 = 1 (1–0,49) = 0,51 0,102
  1   1   1 OWA i =0,33