Abstract
A Group decision making process is carried out when human beings jointly make an election from a possible collection of alternatives. Here, a question of importance is to avoid winners and losers, in the sense that the choice is not any more attributable to any single individual, but all group members contribute to the decision. For this reason, the agreement or consensus achieved among all the individuals should be as high as possible. In this contribution, a feedback mechanism is presented in order to increase the consensus achieved among the decision makers involved in this kind of problems. It is based on granular computing, which is utilized here to provide the necessary flexibility to increase the consensus. The feedback mechanism is able to deal with heterogeneous contexts, that is, contexts in which the decision makers have importance degrees considering their capacity or talent to handle the problem.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Bordogna, G., Fedrizzi, M., Pasi, A.: A linguistic modeling of consensus in group decision making based on OWA operators. IEEE Trans. Syst. Man Cybern.-Part A: Syst. Hum. 27(1), 126–133 (1997)
Butler, C.T., Rothstein, A.: On Conflict and Consensus: A Handbook on Formal Consensus Decision Making. Tahoma Park (2006)
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(5), 451–463 (2010)
Cabrerizo, F.J., Heradio, R., Pérez, I.J., Herrera-Viedma, E.: A selection process based on additive consistency to deal with incomplete fuzzy linguistic information. J. Univ. Comput. Sci. 16(1), 62–81 (2010)
Chiclana, F., Herrera, F., Herrera-Viedma, E.: Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations. Fuzzy Sets Syst. 97(1), 33–48 (1998)
Chiclana, F., Herrera, F., Herrera-Viedma, E.: A note on the internal consistency of various preference representations. Fuzzy Sets Syst. 131(1), 75–78 (2002)
Chen, S.J., Hwang, C.L.: Fuzzy Multiple Attributive Decision Making: Theory and its Applications. Springer, Berlin (1992)
Chu, J., Liu, X., Wang, Y., Chin, K.-S.: A group decision making model considering both the additive consistency and group consensus of intuitionistic fuzzy preference relations. Comput. Ind. Eng. 101, 227–242 (2016)
Deza, M.M., Deza, E.: Encyclopedia of Distances. Springer, Berlin (2009)
Dong, Y., Xiao, J., Zhang, H., Wang, T.: Managing consensus and weights in iterative multiple-attribute group decision making. Appl. Soft Comput. 48, 80–90 (2016)
Fodor, J., Roubens, M.: Fuzzy preference modelling and multicriteria decision support. Kluwer, Dordrecht (1994)
Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: A model of consensus in group decision making under linguistic assessments. Fuzzy Sets Syst. 7(1), 73–87 (1996)
Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: A rational consensus model in group decision making using linguistic assessments. Fuzzy Sets Syst. 88(1), 31–49 (1997)
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(3–4), 309–334 (1997)
Herrera-Viedma, E., Herrera, F., Chiclana, F.: A consensus model for multiperson decision making with different preference structures. IEEE Trans. Syst. Man Cybern.-Part A: Syst. Hum. 32(3), 394–402 (2002)
Herrera-Viedma, E., Herrera, F., Chiclana, F., Luque, M.: Some issues on consistency of fuzzy preference relations. Eur. J. Oper. Res. 154(1), 98–109 (2004)
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. 3(5), 644–658 (2005)
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(5), 863–877 (2007)
Herrera-Viedma, E., Herrera, F., Alonso, S.: Group decision-making model with incomplete fuzzy preference relations based on additive consistency. IEEE Trans. Syst. Man Cybern.-Part B: Cybern. 37(1), 176–189 (2007)
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)
Kacprzyk, J., Fedrizzi, M.: ‘Soft’ consensus measures for monitoring real consensus reaching processes under fuzzy preferences. Control Cybern. 15(3–4), 309–323 (1986)
Kacprzyk, J., Fedrizzi, M.: A ’soft’ measure of consensus in the setting of partial (fuzzy) preferences. Eur. J. Oper. Res. 34(3), 316–325 (1988)
Kacprzyk, J., Fedrizzi, M., Nurmi, H.: Group decision making and consensus under fuzzy preferences and fuzzy majority. Fuzzy Sets Syst. 49(1), 21–31 (1992)
Kennedy, J., Eberhart, R.C.: Particle swarm optimization. In: Proceedings of the IEEE International Conference on Neural Networks, pp. 1942–1948 (1995)
Kennedy, J., Eberhart, R.C., Shi, Y.: Swarm Intelligence. Morgan Kaufmann Publishers, San Francisco (2001)
Ma, L.-C.: A new group ranking approach for ordinal preferences based on group maximum consensus sequences. Eur. J. Oper. Res. 251(1), 171–181 (2016)
Orlovski, S.A.: Decision-making with a fuzzy preference relation. Fuzzy Sets Syst. 1(3), 155–167 (1978)
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.: Hum. 44(4), 494–498 (2014)
Pedrycz, W.: The principle of justifiable granularity and an optimization of information granularity allocation as fundamentals of granular computing. J. Inf. Process. Syst. 7(3), 397–412 (2011)
Pedrycz, A., Hirota, K., Pedrycz, W., Dong, F.: Granular representation and granular computing with fuzzy sets. Fuzzy Sets Syst. 203, 17–32 (2012)
Pedrycz, W.: Knowledge management and semantic modeling: a role of information granularity. Int. J. Softw. Eng. Knowl. 23(1), 5–12 (2013)
Saint, S., Lawson, J.R.: Rules for Reaching Consensus: A Moderm Approach to Decision Making. Jossey-Bass, San Francisco (1994)
Tanino, T.: Fuzzy preference orderings in group decision making. Fuzzy Sets Syst. 12(2), 117–131 (1984)
Trelea, I.C.: The particle swarm optimization algorithm: convergence analysis and parameter selection. Inf. Process. Lett. 85, 317–325 (2003)
Wang, X., Pedrycz, W., Gacek, A., Liu, X.: From numeric data to information granules: a design through clustering and the principle of justifiable granularity. Knowl.-Based Syst. 101, 100–113 (2016)
Ureña, M.R., Cabrerizo, F.J., Morente-Molinera, J.A., Herrera-Viedma, E.: GDM-R: a new framework in R to support fuzzy group decision making processes. Inf. Sci. 357, 161–181 (2016)
Wu, Z., Xu, J.: Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations. Omega 65, 28–40 (2016)
Yager, R.R.: Weighted maximum entropy owa aggregation with applications to decision making under risk. IEEE Trans. Syst. Man Cybern.-Part A: Syst. Hum. 39(3), 555–564 (2009)
Acknowledement
The authors would like to acknowledge FEDER financial support from the Projects TIN2013-40658-P and TIN2016-75850-P.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Cabrerizo, F.J., Morente-Molinera, J.A., Alonso, S., Pérez, I.J., Ureña, R., Herrera-Viedma, E. (2018). Generating Recommendations in GDM with an Allocation of Information Granularity. In: Torra, V., Mesiar, R., Baets, B. (eds) Aggregation Functions in Theory and in Practice. AGOP 2017. Advances in Intelligent Systems and Computing, vol 581. Springer, Cham. https://doi.org/10.1007/978-3-319-59306-7_22
Download citation
DOI: https://doi.org/10.1007/978-3-319-59306-7_22
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-59305-0
Online ISBN: 978-3-319-59306-7
eBook Packages: EngineeringEngineering (R0)