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Sufficient conditions for a Heuristic Rating Estimation Method application

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  • Jacek Szybowski
  • Konrad Ku{l}akowski
  • Jiri Mazurek

Abstract

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.

Suggested Citation

  • Jacek Szybowski & Konrad Ku{l}akowski & Jiri Mazurek, 2026. "Sufficient conditions for a Heuristic Rating Estimation Method application," Papers 2605.08991, arXiv.org.
    • Handle: RePEc:arx:papers:2605.08991
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    References listed on IDEAS

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    1. Rezaei, Jafar, 2015. "Best-worst multi-criteria decision-making method," Omega, Elsevier, vol. 53(C), pages 49-57.
    2. Koczkodaj, W.W. & Szybowski, J., 2015. "Pairwise comparisons simplified," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 387-394.
    3. JosÉ Figueira & Salvatore Greco & Matthias Ehrogott, 2005. "Multiple Criteria Decision Analysis: State of the Art Surveys," International Series in Operations Research and Management Science, Springer, number 978-0-387-23081-8, December.
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