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Analyzing Feedback Mechanisms in Group Decision Making Problems

  • Atefeh Taghavi
  • Esfandiar Eslami
  • Francisco Javier Cabrerizo
  • Enrique Herrera-Viedma
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 643)

Abstract

As reaching the maximum consensus degree in the group decision making problems is very important, many consensus reaching processes have been proposed in the literature. An important step within a consensus reaching process is the feedback mechanism, in which the experts involved in the decision problem under consideration are advised to modify their opinions in order to increase the level of consensus achieved. Therefore, many different feedback mechanisms have been proposed in the existing literature. The aim of this study is to present three of them and analyze their strengths and weaknesses. To do so, an illustrative example is provided.

Keywords

Consensus Group decision making Feedback mechanism 

Notes

Acknowledgments

The authors would like to acknowledge FEDER funds under grants TIN2013-40658-P and TIN2016-75850-R.

References

  1. 1.
    Bordogna, G., Fedrizzi, M., Pasi, G.: A linguistic modeling of consensus in group decision making based on OWA operators. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 27, 126–133 (1997)CrossRefGoogle Scholar
  2. 2.
    Butler, C.T., Rothstein, A.: On Conflict and Consensus: A Handbook on Formal Consensus Decision Making. Creative Commons, Tahoma Park (2006)Google Scholar
  3. 3.
    Cabrerizo, F.J., Moreno, J.M., Pérez, I.J., Herrera-Viedma, E.: Analyzing consensus approaches in fuzzy group decision making: advantages and drawbacks. Soft. Comput. 14, 451–463 (2010)CrossRefGoogle Scholar
  4. 4.
    Eklund, P., Rusinowska, A., de Swart, H.: Consensus reaching in committees. Eur. J. Oper. Res. 178, 185–193 (2007)CrossRefzbMATHGoogle Scholar
  5. 5.
    Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: A rational consensus model in group decision making using linguistic assessments. Fuzzy Sets Syst. 88, 31–49 (1997)CrossRefzbMATHGoogle Scholar
  6. 6.
    Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: Linguistic measures based on fuzzy coincidence for reaching consensus in group decision making. Int. J. Approx. Reason. 16, 309–334 (1997)CrossRefzbMATHGoogle Scholar
  7. 7.
    Herrera-Viedma, E., Herrera, F., Chiclana, F.: A consensus model for multi-person decision making with different preference structures. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 32, 394–402 (2002)CrossRefzbMATHGoogle Scholar
  8. 8.
    Herrera-Viedma, E., Herrera, F., Chiclana, F., Luque, M.: Some issues on consistency of fuzzy preference relations. Eur. J. Oper. Res. 154, 98–109 (2004)MathSciNetCrossRefzbMATHGoogle Scholar
  9. 9.
    Herrera-Viedma, E., Martínez, L., Mata, F., Chiclana, F.: A consensus support system model for group decision-making problems with multigranular linguistic preference relations. IEEE Trans. Fuzzy Syst. 13, 644–658 (2005)CrossRefGoogle Scholar
  10. 10.
    Herrera-Viedma, E., Alonso, S., Chiclana, F., Herrera, F.: A consensus model for group decision making with incomplete fuzzy preference relations. IEEE Trans. Fuzzy Syst. 15, 863–877 (2007)CrossRefzbMATHGoogle Scholar
  11. 11.
    Herrera-Viedma, E., Cabrerizo, F.J., Kacprzyk, J., Pedrycz, W.: A review of soft consensus models in a fuzzy environment. Inf. Fusion 17, 4–13 (2014)CrossRefGoogle Scholar
  12. 12.
    Kacprzyk, J.: Group decision making with a fuzzy linguistic majority. Fuzzy Sets Syst. 18, 105–118 (1986)MathSciNetCrossRefzbMATHGoogle Scholar
  13. 13.
    Kacprzyk, J., Fedrizzi, M., Nurmi, H.: Group decision making and consensus under fuzzy preferences and fuzzy majority. Fuzzy Sets Syst. 49, 21–31 (1992)MathSciNetCrossRefzbMATHGoogle Scholar
  14. 14.
    Kacprzyk, J., Zadrozny, S., Ras, Z.W.: How to support consensus reaching using action rules: a novel approach. Int. J. Uncertain. Fuzziness Knowl. Based Syst. 18, 451–470 (2010)MathSciNetCrossRefGoogle Scholar
  15. 15.
    Mata, F., Martínez, L., Herrera-Viedma, E.: An adaptive consensus support model for group decision-making problems in a multigranular fuzzy linguistic context. IEEE Trans. Fuzzy Syst. 17, 279–290 (2009)CrossRefGoogle Scholar
  16. 16.
    Orlovski, S.A.: Decision-making with fuzzy preference relations. Fuzzy Sets Syst. 1, 155–167 (1978)MathSciNetCrossRefGoogle Scholar
  17. 17.
    Pérez, I.J., Cabrerizo, F.J., Alonso, S., Herrera-Viedma, E.: A new consensus model for group decision making problems with non-homogeneous experts. IEEE Trans. Syst. Man Cybern. Syst. 44, 494–498 (2014)CrossRefGoogle Scholar
  18. 18.
    Tanino, T.: Fuzzy preference orderings in group decision making. Fuzzy Sets Syst. 12, 117–131 (1984)MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Atefeh Taghavi
    • 1
  • Esfandiar Eslami
    • 2
  • Francisco Javier Cabrerizo
    • 3
  • Enrique Herrera-Viedma
    • 3
  1. 1.Graduate University of Advanced TechnologyKermanIran
  2. 2.Shahid Bahonar University of KermanKermanIran
  3. 3.Department of Computer Science and Artificial IntelligenceUniversity of GranadaGranadaSpain

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