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Consolidation of Individual Rankings by the Method of Branches And Bounds

  • SYSTEM ANALYSIS AND OPERATIONS RESEARCH
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Abstract

In the problem of collective choice, an algorithm is proposed for constructing an optimal aggregate ranking that is closest to all individual strict rankings in the sense of the Kemeny median. The application of the branch-and-bound method allows problems of large dimensions to be solved and can also be used in the case when individual preferences are arbitrary binary relations.

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REFERENCES

  1. B. G. Mirkin, Group Choice Problem (Nauka, Moscow, 1974) [in Russian].

    Google Scholar 

  2. H. Moulin, Axioms of Cooperative Decision Making (Cambridge Univ. Press, Cambridge, 2013).

    MATH  Google Scholar 

  3. H. P. Young, “Condorcet’s theory of voting,” Am. Polit. Sci. Rev., No. 82, 1231–1244 (1988).

  4. A. B. Petrovsky, Decision Theory (Akademiya, Moscow, 2009) [in Russian].

    Google Scholar 

  5. V. N. Nefedov, V. A. Osipova, C. O. Smerchinskaya, and N. P. Yashina, “Non-contradictory aggregations of relations of strict order,” Russ. Math. (Iz. VUZ) 62 (5), 61–73 (2018).

  6. B. G. Litvak, Expert Information: Methods of Obtaining and Analyzing (Radio Svyaz’, Moscow, 1982) [in Russian].

    Google Scholar 

  7. V. P. Korneenko, Methods of Multi-Criteria Evaluation of Objects with a Multi-Level Structure of Performance Indicators (MAKS Press, Moscow, 2018) [in Russian].

    Google Scholar 

  8. W. D. Cook, “Distance-based and ad hoc consensus models in ordinal preference ranking,” Eur. J. Operat. Res., No. 172, 369–385 (2006).

  9. V. N. Nefedov, “Some properties of a linearly ordered median for an odd number of linear asymmetric ratios,” Available from VINITI No. 62–B2021 (2021).

  10. V. N. Nefedov, Discrete Optimization Problems (MAI, Moscow, 1993) [in Russian].

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Correspondence to V. N. Nefedov or V. A. Osipova.

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Nefedov, V.N., Osipova, V.A. Consolidation of Individual Rankings by the Method of Branches And Bounds. J. Comput. Syst. Sci. Int. 61, 981–989 (2022). https://doi.org/10.1134/S1064230722060144

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  • DOI: https://doi.org/10.1134/S1064230722060144

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