POO-LPSP: Parallel Osprey Optimized Least Penalty-Squared Prioritization Methods for Priority Derivation in the Analytic Hierarchy Process

arXiv:2607.07313v1 Announce Type: cross Abstract: Pairwise comparison (PC) via pairwise reciprocal matrices (PRMs) is central to the Analytic Hierarchy Process (AHP). Although the traditional eigenvector method is widely applied to derive priorities, its theoretical robustness in reflecting true priority vectors remains debated. Building upon a previous iteration of this study, this research develops the revised Least Penalty-Squared Prioritization (LPSP) optimization models, including the revised Least Product of Penalty and Direct Squares (LPPDS) and revised Weighted Squares (LPPWS), to mini
This academic paper advances a methodological improvement in a well-established decision-making framework.
While relevant to specialists in operations research, this particular theoretical improvement does not inherently alter broader strategic landscapes or technological trajectories for a general strategic reader.
This research provides a refined mathematical model for priority derivation within the Analytic Hierarchy Process, offering potentially more robust results for specific applications.
- · Operations research academics
- · Decision science practitioners
Improved accuracy in some multi-criteria decision-making scenarios using AHP.
Potential for broader adoption of these revised models within specific analytical tools.
Very minor, long-term improvements in the efficiency or reliability of complex decision-making processes in niche fields.
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