An Adaptive Module for the Consensus Reaching Process in Group Decision Making Problems

  • Enrique Herrera-Viedma
  • Francisco Mata
  • Luis Martínez
  • Luis G. Pérez
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3558)


In the group decision making (GDM) framework we deal with decision problems where several decision makers try to achieve a common solution about a problem. In the literature, we can find two processes to carry out before obtaining a final solution: the consensus process and the selection one. The consensus process is a discussion process where the experts change their opinions in order to achieve a high agreement. The selection process searches the solution.

The consensus reaching process is a very important task for GDM problems regarding the necessity that the solution achieved will be assumed and shared by all experts involved in the GDM problem. It consists of several consensus rounds where the experts discuss and change their opinions in order to improve the level of agreement among them.

In this paper, we propose an optimization of the consensus reaching process in GDM problems by means of an adaptive module that applies different procedures to identify the experts’ opinions that should be changed according to the level of agreement in each consensus round. Usually at the beginning the agreement is low, so the adaptive module will suggest to many experts to change their opinions. However, after several rounds, the agreement will be higher and hence the number of the changes will be smaller.


Consensus group decision-making fuzzy preference relation 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Bryson, N.: Group decision-making and the analytic hierarchy process: exploring the consensus-relevant information content. Computers and Operational Research 23, 27–35 (1996)zbMATHCrossRefGoogle Scholar
  2. 2.
    Kuncheva, L.I.: Five measures of consensus in group decision making using fuzzy sets. In: Proceedings of IFSA, pp. 141–144 (1991)Google Scholar
  3. 3.
    Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: Linguistic Measures Based on Fuzzy Coincidence for Reaching Consensus in Group Decision Making. Int. J. of Approximate Reasoning, 309–334 (1997)Google Scholar
  4. 4.
    Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: A rational consensus model in group decision making under linguistic assessments. Fuzzy Sets and Systems 88, 31–49 (1997)CrossRefGoogle Scholar
  5. 5.
    Herrera-Viedma, E., Herrera, F., Chiclana, F.: A Consensus Model for Multiperson Decision Making with Different Preference Structures. IEEE Transactions on Systems, Man and Cybernetics-Part A: Systems and Humans 32, 394–402 (2002)CrossRefGoogle Scholar
  6. 6.
    Herrera-Viedma, E., Mata, F., Martínez, L., Chiclana, F., Pérez, L.G.: Measurements of Consensus in Multi-granular Linguistic Group Decision Making. In: Torra, V., Narukawa, Y. (eds.) MDAI 2004. LNCS (LNAI), vol. 3131, pp. 194–204. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  7. 7.
    Herrera-Viedma, E., Martínez, L., Mata, F., Chiclana, F.: A Consensus Support System Model for Group Decision-making Problems with Multi-granular Linguistic Preference Relations. IEEE Transactions on Fuzzy Systems (2004) (in press)Google Scholar
  8. 8.
    Kacprzyk, J., Fedrizzi, M., Nurmi, H.: Group decision making and consensus under fuzzy preferences and fuzzy majority. Fuzzy Sets and Systems 49, 21–31 (1992)zbMATHCrossRefMathSciNetGoogle Scholar
  9. 9.
    Karacapilidis, N.I., Pappis, C.P.: A framework for group decision making support systems: Combining AI tools and OR thecniques. European Journal of Operational Research 103, 373–388 (1997)zbMATHCrossRefGoogle Scholar
  10. 10.
    Marakas, G.H.: Decision support systems in the 21th century, 2nd edn. Pearson Education, Inc., New Jersey (2003)Google Scholar
  11. 11.
    Saint, S., Lawson, J.R.: Rules for Reaching Consensus. In: A Modern Approach to Decision Making, Jossey-Bass, San Francisco (1994)Google Scholar
  12. 12.
    Salo, A.A.: Interactive decision aiding for group decision support. European Journal of Operational Research 84, 134–149 (1995)zbMATHCrossRefGoogle Scholar
  13. 13.
    Torra, V., Cortes, U.: Towards an automatic consensus generator tool: EGAC. IEEE Transactions on Systems, Man and Cybernetics 25, 888–894 (1995)CrossRefGoogle Scholar
  14. 14.
    Zadrozny, S.: An Approach to the Consensus Reaching Support in Fuzzy Environment. In: Kacprzyk, J., Nurmi, H., Fedrizzi, M. (eds.) Consensus under Fuzziness, pp. 83–109. Kluwer Academic Publishers, Boston (1997)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Enrique Herrera-Viedma
    • 1
  • Francisco Mata
    • 2
  • Luis Martínez
    • 2
  • Luis G. Pérez
    • 2
  1. 1.Dept. of Computer Science and A.I.University of GranadaGranadaSpain
  2. 2.Dept. of Computer ScienceUniversity of JaénJaénSpain

Personalised recommendations