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New ARDLS model enhances stability in decision-making processes

A new optimization model called Anchored Regularized Direct Least Squares (ARDLS) has been introduced to address the instability of priority rankings in the Analytic Hierarchy Process (AHP). Traditional Direct Least Squares (DLS) methods can produce multiple solutions, especially with inconsistent data, leading to unreliable results. ARDLS integrates established prioritization operators like the Eigenvector method and Singular Value Decomposition as anchors within a regularization penalty to ensure a single, unique global minimum, thereby improving accuracy and stability. AI

RANK_REASON The item is a research paper detailing a new mathematical optimization model for a decision-making process. [lever_c_demoted from research: ic=1 ai=0.1]

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New ARDLS model enhances stability in decision-making processes

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  1. arXiv cs.AI TIER_1 English(EN) · Kevin Kam Fung Yuen ·

    Anchored Regularized Direct Least Squares (ARDLS): Integrating Established Prioritization Operators for Priority Elicitation in the Analytic Hierarchy Process

    arXiv:2608.21187v1 Announce Type: cross Abstract: Pairwise reciprocal matrices are fundamental to the Analytic Hierarchy Process (AHP), a decision-making model. While the Direct Least Squares (DLS) method provides an intuitive mechanism for deriving priority vectors without compl…