On Strict Ranking by Pairwise Comparisons

Jean-Pierre Magnot

doi:10.2478/amsil-2026-0005

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On Strict Ranking by Pairwise Comparisons

Annales Mathematicae Silesianae

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By: Jean-Pierre Magnot

Open Access

|Apr 2026

Abstract

This paper addresses the problem of obtaining a strict ranking (i.e., a ranking without equally ranked items) of n items based on a pairwise comparisons matrix. The basic structures are described and a heuristic approach based on a condition, the ℛ-condition is proposed. The limitations of this ranking procedure are analyzed.

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2026-0005 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Submitted on: Mar 31, 2025

Accepted on: Mar 2, 2026

Published on: Apr 4, 2026

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

90B50,

81T13,

91B06

Related subjects:

Mathematics,

General mathematics

© 2026 Jean-Pierre Magnot, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

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