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International Conference on Computer Recognition Systems

CORES 2017: Proceedings of the 10th International Conference on Computer Recognition Systems CORES 2017 pp 92–101Cite as

Determining of an Estimate of the Equivalence Relation on the Basis of Pairwise Comparisons

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 578))

Abstract

The paper presents two approaches for solving of a discrete programming problem necessary for determining of estimates of the equivalence relation on the basis of pairwise comparisons with random errors. The problem minimizes sum of absolute differences between relation form and comparisons. The problem is NP hard and can be solved with the use of exact algorithms for moderate size of sets - about 50 elements. In the case of larger sets, at least 100 elements and/or multiple comparisons, it is necessary to apply heuristic algorithms. The paper presents original results: a statistical preprocessing, based on two tests proposed, which allows determining of the optimal or suboptimal solution for large sets with acceptable computational cost.

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Author information

Authors and Affiliations

  1. Systems Research Institute Polish Academy of Sciences, Newelska 6, 01-447, Warsaw, Poland

    Leszek Klukowski

Authors
  1. Leszek Klukowski
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Correspondence to Leszek Klukowski .

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Editors and Affiliations

  1. Department of Systems and Computer Networks, Wrocław University of Technology, Wrocław, Poland

    Marek Kurzynski

  2. Department of Systems and Computer Networks, Wrocław University of Technology, Wroclaw, Poland

    Michal Wozniak

  3. Department of Systems and Computer Networks, Wrocław University of Technology , Wroclaw, Poland

    Robert Burduk

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Klukowski, L. (2018). Determining of an Estimate of the Equivalence Relation on the Basis of Pairwise Comparisons. In: Kurzynski, M., Wozniak, M., Burduk, R. (eds) Proceedings of the 10th International Conference on Computer Recognition Systems CORES 2017. CORES 2017. Advances in Intelligent Systems and Computing, vol 578. Springer, Cham. https://doi.org/10.1007/978-3-319-59162-9_10

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  • DOI: https://doi.org/10.1007/978-3-319-59162-9_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59161-2

  • Online ISBN: 978-3-319-59162-9

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