Description:

This Master Prompt would focus on converting pairwise-comparison judgments into quantitative priority weights and synthesizing those weights across the hierarchy. It would guide researchers through judgment-matrix normalization, priority-vector derivation and appropriate mathematical procedures for obtaining relative weights while explaining the meaning of the resulting values rather than treating calculations as a software-generated black box.

A major emphasis would be placed on distinguishing local weights, global weights, criterion priorities, subcriterion priorities and alternative priorities. Researchers would trace how weights propagate through different hierarchical levels and verify that resulting priorities are mathematically coherent. Equations, calculation tables, normalized matrices and worked examples would be incorporated where relevant. The Master Prompt would ultimately establish a transparent pathway from pairwise judgments to final priority values, enabling researchers to explain exactly how the decision model produced its quantitative results. Studies in the collection report explicit criterion, subcriterion and global priority weights, illustrating the importance of this calculation and interpretation stage.