Jacek Szybowski, Konrad Kułakowski, Jiri Mazurek
arXiv 9 May 2026 · Artificial Intelligence
arXiv:2605.08991 · PDF · DOI · OpenAlex · Extracted main text
A series of papers has introduced the Heuristic Rating Estimation method, which evaluates a set of alternatives based on pairwise comparisons and the weights of reference alternatives. We formulate the conditions under which the HRE method can be applied correctly. The research considers both arithmetic and geometric algorithms for complete and incomplete pairwise comparison methods. The illustrative examples show that the estimations of inconsistency in the arithmetic variant are optimal.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | K. Kuakowski, K. Grobler-D ebska, and J. W as (2015) Heuristic rating estimation: geometric approach | 0.811 | 4 | 2 | 100% |
| 2 | K. Kuakowski (2014) Heuristic Rating Estimation Approach to The Pairwise Comparisons Method | 0.737 | 3 | 2 | 100% |
| 3 | K. Kuakowski (2016) Notes on the existence of a solution in the pairwise comparisons method using the heuristic rating estimation approach | 0.585 | 3 | 1 | 100% |
| 4 | P. T. Harker (1987) Alternative modes of questioning in the analytic hierarchy process | 0.511 | 2 | 1 | 100% |
| 5 | K. Kuakowski (2020) Understanding the Analytic Hierarchy Process | 0.511 | 2 | 1 | 100% |
| 6 | K. Kuakowski, A. K edzior, J. Szybowski, and J. Mazurek (2026) Mean-based incomplete pairwise comparisons method with the reference values | 0.511 | 2 | 1 | 100% |
| 7 | T. L. Saaty (1977) A scaling method for priorities in hierarchical structures | 0.511 | 2 | 1 | 100% |
| 8 | T. L. Saaty (1977) A scaling method for priorities in hierarchical structures | 0.511 | 2 | 1 | 100% |
| 9 | C.A. Bana e Costa and J. C.. Vansnick (1994) MACBETH - An Interactive Path Towards the Construction of Cardinal Value Functions | 0.405 | 1 | 1 | 100% |
| 10 | S. Bozóki, J. Fülöp, and L. Rónyai (2010) On optimal completion of incomplete pairwise comparison matrices | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 26 scored citations.