Generating Recommendations in GDM with an Allocation of Information Granularity

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.

[1]  Kwai-Sang Chin,et al.  A group decision making model considering both the additive consistency and group consensus of intuitionistic fuzzy preference relations , 2016, Comput. Ind. Eng..

[2]  S. Orlovsky Decision-making with a fuzzy preference relation , 1978 .

[3]  Francisco Herrera,et al.  Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations , 1998, Fuzzy Sets Syst..

[4]  Ronald R. Yager,et al.  Weighted Maximum Entropy OWA Aggregation With Applications to Decision Making Under Risk , 2009, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[5]  Witold Pedrycz,et al.  Knowledge Management and Semantic Modeling: a Role of Information Granularity , 2013, Int. J. Softw. Eng. Knowl. Eng..

[6]  Enrique Herrera-Viedma,et al.  A Selection Process Based on Additive Consistency to Deal with Incomplete Fuzzy Linguistic Information , 2010, J. Univers. Comput. Sci..

[7]  Francisco Herrera,et al.  A Consensus Model for Group Decision Making With Incomplete Fuzzy Preference Relations , 2007, IEEE Transactions on Fuzzy Systems.

[8]  Elena Deza,et al.  Encyclopedia of Distances , 2014 .

[9]  Witold Pedrycz,et al.  Granular representation and granular computing with fuzzy sets , 2012, Fuzzy Sets Syst..

[10]  T. Tanino Fuzzy preference orderings in group decision making , 1984 .

[11]  Francisco Herrera,et al.  A consensus model for multiperson decision making with different preference structures , 2002, IEEE Trans. Syst. Man Cybern. Part A.

[12]  J. Kacprzyk,et al.  Group decision making and consensus under fuzzy preferences and fuzzy majority , 1992 .

[13]  Marc Roubens,et al.  Fuzzy Preference Modelling and Multicriteria Decision Support , 1994, Theory and Decision Library.

[14]  Francisco Herrera,et al.  Linguistic measures based on fuzzy coincidence for reaching consensus in group decision making , 1997, Int. J. Approx. Reason..

[15]  Witold Pedrycz,et al.  The Principle of Justifiable Granularity and an Optimization of Information Granularity Allocation as Fundamentals of Granular Computing , 2011, J. Inf. Process. Syst..

[16]  Ioan Cristian Trelea,et al.  The particle swarm optimization algorithm: convergence analysis and parameter selection , 2003, Inf. Process. Lett..

[17]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.

[18]  Francisco Herrera,et al.  A note on the internal consistency of various preference representations , 2002, Fuzzy Sets Syst..

[19]  James Kennedy,et al.  Particle swarm optimization , 2002, Proceedings of ICNN'95 - International Conference on Neural Networks.

[20]  Enrique Herrera-Viedma,et al.  A New Consensus Model for Group Decision Making Problems With Non-Homogeneous Experts , 2014, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[21]  Li-Ching Ma,et al.  A new group ranking approach for ordinal preferences based on group maximum consensus sequences , 2016, Eur. J. Oper. Res..

[22]  Enrique Herrera-Viedma,et al.  Analyzing consensus approaches in fuzzy group decision making: advantages and drawbacks , 2010, Soft Comput..

[23]  Enrique Herrera-Viedma,et al.  GDM-R: A new framework in R to support fuzzy group decision making processes , 2016, Inf. Sci..

[24]  Luis Martínez-López,et al.  A Consensus Support System Model for Group Decision-Making Problems With Multigranular Linguistic Preference Relations , 2005, IEEE Transactions on Fuzzy Systems.

[25]  Jing Xiao,et al.  Managing consensus and weights in iterative multiple-attribute group decision making , 2016, Appl. Soft Comput..

[26]  Witold Pedrycz,et al.  From numeric data to information granules: A design through clustering and the principle of justifiable granularity , 2016, Knowl. Based Syst..

[27]  Witold Pedrycz,et al.  A review of soft consensus models in a fuzzy environment , 2014, Inf. Fusion.

[28]  Gloria Bordogna,et al.  A linguistic modeling of consensus in group decision making based on OWA operators , 1997, IEEE Trans. Syst. Man Cybern. Part A.

[29]  J. Kacprzyk,et al.  A ‘soft’ measure of consensus in the setting of partial (fuzzy) preferences , 1988 .

[30]  Francisco Herrera,et al.  Some issues on consistency of fuzzy preference relations , 2004, Eur. J. Oper. Res..

[31]  Francisco Herrera,et al.  Group Decision-Making Model With Incomplete Fuzzy Preference Relations Based on Additive Consistency , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[32]  Zhibin Wu,et al.  Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations , 2016 .

[33]  Francisco Herrera,et al.  A model of consensus in group decision making under linguistic assessments , 1996, Fuzzy Sets Syst..

[34]  Francisco Herrera,et al.  A rational consensus model in group decision making using linguistic assessments , 1997, Fuzzy Sets Syst..