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Preferences, agreement, consensus — measuring, aggregation and control

  • Section V Procedural And Algorithmic Aspects Of Group Decision Making
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Abstract

This paper presents a model for analysis and a practical method of management of a session meant at attainment of consensus regarding preferences over a set of multi-aspect options, these preferences being expressed through pairwise comparisons or orderings. The model and the method accept and process valued or fuzzy preferences, while preserving an entirely “crisp” procedure throughout the approach. The aggregation method presented previously in Owsiński and Zadrożny [17, 18] is referred to and expanded for the case of clusterwise preference aggregation and consensus measurement. The framework of the clustering approach of Owsiński [19] is applied, allowing for a natural definition of consensus.

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References

  1. J.-P. Bathélemy and B. Montjardet, The median procedure in cluster and social choice theory, Math. Soc. Sci. 1(1981)235–267.

    Google Scholar 

  2. J.C. Bezdek,Pattern Recognition with Fuzzy Objective Function Algorithms (Plenum, New York-London, 1981).

    Google Scholar 

  3. W.D. Cook and M. Kress, Ordinal ranking with intensity of preference, Manag. Sci. 31(1985)26–32.

    Google Scholar 

  4. B. Dutta, Fuzzy preferences and social choices, Math. Soc. Sci. 13(1987)215–229.

    Google Scholar 

  5. P.C. Fishburn, Monotonicity paradoxes in the theory of voting, Discr. Appl. Math. 4(1982)119–134.

    Google Scholar 

  6. P.C. Fishburn, Multiperson decison making: A selective review, in:Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory, ed. J. Kacprzyk and M. Fedrizzi (Kluwer, Dordrecht, 1990).

    Google Scholar 

  7. W. Gaul and M. Schader, Clusterwise aggregation of relations, Appl. Stoch. Mod. Data Anal. 4(1988)273–282.

    Google Scholar 

  8. J. Kacprzyk, Group decision making with a fuzzy majority via linguistic quantifiers, Cybern. Syst. 16(1985)119–129.

    Google Scholar 

  9. J. Kacprzyk, Group decision making with a fuzzy linguistic majority, Fuzzy Sets Syst. 18(1986)105–118.

    Google Scholar 

  10. J. Kacprzyk and M. Fedrizzi, “Soft” consensus measures for monitoring real consensus reaching processes under fuzzy preferences, Contr. Cybern. 15(1986)309–324.

    Google Scholar 

  11. A. Levenglick and H.P. Young, A consistent extension of the Condorcet election principle, SIAM J. Appl. Math. 35(1978)285–360.

    Google Scholar 

  12. J.-F. Marcotorchino and P. Michaud,Optimisation en Analyse Ordinale des Données (Masson, Paris, 1979).

    Google Scholar 

  13. H. Nurmi, Preferences, choices, tournaments: Alternative foundations for the evaluation of voting schemes, Quality and Quantity 25(1991)393–405.

    Google Scholar 

  14. H. Nurmi,Comparing Voting Systems (Reidel, Dordrecht, 1987).

    Google Scholar 

  15. J.W. Owsiński, On a quasi-objective global clustering method, in:Data Analysis and Informatics III, ed. E. Diday, M. Jambu, L. Lébart, J. Pages and R. Thomassone (North-Holland, Amsterdam, 1984).

    Google Scholar 

  16. J.W. Owsiński and Sł. Zadrożny, Structuring a regional problem: Aggregation and clustering in orderings, Appl. Stoch. Mod. Data Anal. 2(1986)83–95.

    Google Scholar 

  17. J.W. Owsiński and Sł. Zadrożny, A decision support system for analysing and aggregating fuzzy orderings, in:Methodology and Applications of Decison Support Systems, ed. R. Kulikowski (Polska Akademia Nauk, Instytut Badań Systemowych, Warszawa, 1989) pp. 184–200.

    Google Scholar 

  18. J.W. Owsiński and Sł. Zadrożny, The problem of clusterwise aggregation of preferences, in:Decision Making Models for Management and Manufacturing, ed. R. Kulikowski and J. Stefański (Omnitech, Warszawa, 1990) pp. 91–101.

    Google Scholar 

  19. J.W. Owsiński, On a new quick clustering method with a global objective function, Appl. Stoch. Mod. Data Anal. 6(1990)157–171.

    Google Scholar 

  20. J.W. Owsiński, Agregacja preferencji jako zadanie analizy danych: niektóre zagadnienia i sposoby ich rozwiazywania (Aggregation of preferences as the problem of data analysis: some questions and the methods of their resolution), Instytut Badań Systemowych Polskiej Akademii Nauk, Warszawa, ZPZC 232-22/90 (1990).

  21. J.W. Owsiński, A simple software system for eliciting structured sets of notions from a group of experts (methods and experiences), in:Knowledge, Data and Computer-assisted Decisions, ed. M. Schader and W. Gaul, NATO ASI Ser. F, Vol. 61 (Springer, Berlin-Heidelberg, 1990) pp. 369–378.

    Google Scholar 

  22. J.W. Owsiński, Nowa metoda analizy skupień z globalna funkcja celu, rozprawa doktorska (A new method of cluster analysis with a global objective function, Ph.D. Dissertation), Instytut Badań Systemowych Polskiej Akademii Nauk, Warszawa (1991).

    Google Scholar 

  23. J.W. Owsiński, Distance problems in the support of consensus reaching with clustering of precedence profiles, Paper submitted to theInt. Conf. Distancia '92, Université de Rennes, June 1992 (1991).

  24. M. Roubens, Preference relations on actions and criteria in multicriteria decision making, Eur. J. Oper. Res. 10(1982)51–55.

    Google Scholar 

  25. M. Roubens and Ph. Vincke,Preference Modelling (Springer, Heidelberg, 1986).

    Google Scholar 

  26. B. Roy and Ph. Vincke, Relational systems of preference with one or more pseudo-criteria: Some new concepts and results, Manag. Sci. 30(1984)1323–1335.

    Google Scholar 

  27. T.L. Saaty,The Analytic Hierarchy Process (McGraw-Hill, 1980).

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Authors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, Newelska 6, Warszawa, Poland

    Jan W. Owsiński

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  1. Jan W. Owsiński
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Owsiński, J.W. Preferences, agreement, consensus — measuring, aggregation and control. Ann Oper Res 51, 217–240 (1994). https://doi.org/10.1007/BF02078897

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