89 Based on the weights obtained through AHP, the structure of an integrated socioenvironmental risk indicator is defined as a weighted aggregation of normalized scores for each criterion. In general terms, the indicator is expressed as: =∑ 6 =1 (5) where , represents the normalized score of criteria . This formulation provides a transparent and replicable basis for consolidating multiple socio-environmental dimensions into an integrated measure, which can be used as an input for strategic assessments and subsequent analyses in mine planning. 4.- RESULTS 4.1 Group pairwise comparison matrix Based on the responses provided by the =8 surveyed experts, the individual pairwise comparison matrices were consolidated into a single group pairwise comparison matrix ˉ through element-wise geometric mean aggregation, as defined in Eq. (1). This step combines all participants judgments into one matrix while preserving the reciprocal structure required by AHP. The group matrix ˉ is presented in Table 2. Table 2 – Group pairwise comparison matrix ˉ obtained via geometric mean aggregation of 8 experts. C1 C2 C3 C4 C5 C6 C1 1.00 0.59 0.39 0.73 0.58 0.58 C2 1.70 1.00 0.52 1.80 1.25 1.77 C3 2.58 1.93 1.00 1.74 1.06 1.92 C4 1.38 0.55 0.57 1.00 0.76 0.78 C5 1.73 0.80 0.94 1.31 1.00 0.76 C6 1.71 0.57 0.52 1.29 1.31 1.00 The priority vector was computed from the aggregated matrix ˉ using Eqs. (2) and (3). First, ˉ was column-normalized to obtain the normalized matrix ∗ = [ ∗ ] by applying Eq. (2), that is, dividing each entry ˉ by the sum of its corresponding column ∑ ˉ =1 . This procedure yields a dimensionless matrix in which each column sums to 1, facilitating subsequent weight estimation.
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