A Consensus Model for Group Decision Making with Hesitant Fuzzy Linguistic Information

Group Decision Making (GDM) is a usual process in companies and administration in which complex decision problems are solved taking into account different points of view from different experts involved in the decision situation. Notwithstanding, in principle group decisions should be better accepted than decisions made by a single decision maker because they try to include several viewpoints, sometimes the decision processes do not consider the agreement in the solution, therefore such solutions can fail in their goal. To overcome such a problem, a consensus reaching process is added to GDM processes to obtain solutions with a high degree of agreement. The complexity of GDM problems are often due to the uncertainty related to the imprecision and vagueness of the meaning of the decision situation that is modelled by linguistic descriptors. Different linguistic consensus models have successfully dealt with these GDM problems. However, recently it has been pointed out that in GDM problems dealing with linguistic information may be necessary to offer a higher flexibility to experts for eliciting their preferences to manage mainly their hesitancy about linguistic assessments when a single linguistic term does not adjust enough to their knowledge/preference. This contribution provides a novel consensus model for GDM problems dealing with Hesitant Fuzzy Linguistic Term Sets (HFLTS) that have been proposed to deal with hesitancy in linguistic GDM problems.

[1]  Francisco Herrera,et al.  An overview on the 2-tuple linguistic model for computing with words in decision making: Extensions, applications and challenges , 2012, Inf. Sci..

[2]  Anthony N. S. Freeling Fuzzy Sets and Decision Analysis , 1980, IEEE Transactions on Systems, Man, and Cybernetics.

[3]  Ding-Hong Peng,et al.  Multi-criteria Group Decision Making with Heterogeneous Information Based on Ideal Points Concept , 2013, Int. J. Comput. Intell. Syst..

[4]  Francisco Herrera,et al.  Hesitant Fuzzy Sets: State of the Art and Future Directions , 2014, Int. J. Intell. Syst..

[5]  Francisco Herrera,et al.  Hesitant Fuzzy Linguistic Term Sets for Decision Making , 2012, IEEE Transactions on Fuzzy Systems.

[6]  Luis Martínez-López,et al.  Modelling experts’ attitudes in group decision making , 2012, Soft Computing.

[7]  Hai Wang,et al.  Extended hesitant fuzzy linguistic term sets and their aggregation in group decision making , 2015, Int. J. Comput. Intell. Syst..

[8]  Francisco Herrera,et al.  Consensus under a fuzzy context: Taxonomy, analysis framework AFRYCA and experimental case of study , 2014, Inf. Fusion.

[9]  Yongchuan Tang,et al.  Linguistic modelling based on semantic similarity relation among linguistic labels , 2006, Fuzzy Sets Syst..

[10]  Fengjie Wu,et al.  Preface to Multi-Objective Group Decision-Making: Methods, Software and Applications with Fuzzy Set Techniques , 2007 .

[11]  Hongbin Liu,et al.  A fuzzy envelope for hesitant fuzzy linguistic term set and its application to multicriteria decision making , 2014, Inf. Sci..

[12]  Francisco Herrera,et al.  Computing with Words in Decision support Systems: An overview on Models and Applications , 2010, Int. J. Comput. Intell. Syst..

[13]  Francisco Herrera,et al.  A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets , 2013, Inf. Sci..

[14]  J. Kacprzyk Group decision making with a fuzzy linguistic majority , 1986 .

[15]  Da Ruan,et al.  A fuzzy-set approach to treat determinacy and consistency of linguistic terms in multi-criteria decision making , 2007, Int. J. Approx. Reason..

[16]  Zhiliang Ren,et al.  A Hesitant Fuzzy Linguistic TODIM Method Based on a Score Function , 2015, Int. J. Comput. Intell. Syst..

[17]  Luis Martínez-López,et al.  An attitude-driven web consensus support system for heterogeneous group decision making , 2013, Expert systems with applications.

[18]  Francisco Herrera,et al.  Managing non-homogeneous information in group decision making , 2005, Eur. J. Oper. Res..

[19]  Paul P. Wang,et al.  Linguistic decision making: Tools and applications , 2009, Inf. Sci..