Work

A new and simple method to get the priority vector for reciprocal matrices

Year: 2025

Type: article

Abstract: A new optimization method is proposed to find the priority vector of a non-consistent reciprocal matrix, which leads to the solution of a constrained least-squares problem, specially suited for large matrices. Two different approaches are used to solve this problem: the first approach uses QR decomposition, and the second approach performs the singular value decomposition, leading to simple solutions. In addition, a comparison of the proposed method with other methods used in the consulted bibliography is made to obtain the priority vector, and finally, an illustrative example is shown.

Source: Badania Operacyjne i Decyzje/Operations Research and Decisions

DOI: 10.37190/ord/205080

Authors: Julio Benítez, Carlos Serra-Jiménez

Institution: Universitat Politècnica de València

Language: English

Topic: Multi-Criteria Decision Making

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: diamond

OpenAlex ID: W4411101551

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