Analyzing the performance of classical consensus models in large scale group decision making: A comparative study

Abstract Consensus reaching processes (CRPs) in group decision making (GDM) attempt to reach a mutual agreement among a group of decision makers before making a common decision. Different consensus models have been proposed by different authors in the literature to facilitate CRPs. Classical CRP models focus on achieving an agreement on GDM problems in which few decision makers participate. However, nowadays, societal and technological trends that demand the management of larger scale of decision makers add new requirements to the solution of consensus-based GDM problems. This paper presents a comparative study of different classical CRPs applied to large-scale GDM in order to analyze their performance and find out which are the main challenges that these processes face in large-scale GDM. Such analyses will be developed in a java-based framework (AFRYCA 2.0) simulating different scenarios in large scale GDM.

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

[2]  Yejun Xu,et al.  Distance-based consensus models for fuzzy and multiplicative preference relations , 2013, Inf. Sci..

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

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

[5]  Yin-Feng Xu,et al.  Consensus models for AHP group decision making under row geometric mean prioritization method , 2010, Decis. Support Syst..

[6]  Enrique Herrera-Viedma,et al.  A linguistic consensus model for Web 2.0 communities , 2013, Appl. Soft Comput..

[7]  Yin-Feng Xu,et al.  Linear optimization modeling of consistency issues in group decision making based on fuzzy preference relations , 2012, Expert Syst. Appl..

[8]  Zhibin Wu,et al.  A consistency and consensus based decision support model for group decision making with multiplicative preference relations , 2012, Decis. Support Syst..

[9]  King Lun Choy,et al.  A novel fuzzy group decision-making approach to prioritising engineering characteristics in QFD under uncertainties , 2011 .

[10]  Enrique Herrera-Viedma,et al.  A statistical comparative study of different similarity measures of consensus in group decision making , 2013, Inf. Sci..

[11]  Yejun Xu,et al.  A conflict-eliminating approach for emergency group decision of unconventional incidents , 2015, Knowl. Based Syst..

[12]  A. Gabory,et al.  Maternal Diets Trigger Sex-Specific Divergent Trajectories of Gene Expression and Epigenetic Systems in Mouse Placenta , 2012, PloS one.

[13]  Francisco Herrera,et al.  MENTOR: A graphical monitoring tool of preferences evolution in large-scale group decision making , 2014, Knowl. Based Syst..

[14]  Enrique Herrera-Viedma,et al.  A Mobile Decision Support System for Dynamic Group Decision-Making Problems , 2010, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[15]  James C. Bezdek,et al.  Development of an instrument for the dynamic measurement of consensus , 1979 .

[16]  Xiao Zhang,et al.  A method for large group decision-making based on evaluation information provided by participators from multiple groups , 2016, Inf. Fusion.

[17]  Slawomir Zadrozny,et al.  Soft computing and Web intelligence for supporting consensus reaching , 2010, Soft Comput..

[18]  Luis Martínez-López,et al.  An Overview on Fuzzy Modelling of Complex Linguistic Preferences in Decision Making , 2016, Int. J. Comput. Intell. Syst..

[19]  David Ben-Arieh,et al.  Linguistic-labels aggregation and consensus measure for autocratic decision making using group recommendations , 2006, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[20]  Francisco Herrera,et al.  Cardinal Consistency of Reciprocal Preference Relations: A Characterization of Multiplicative Transitivity , 2009, IEEE Transactions on Fuzzy Systems.

[21]  Francisco Herrera,et al.  A Sequential Selection Process in Group Decision Making with a Linguistic Assessment Approach , 1995, Inf. Sci..

[22]  Luis Martínez-López,et al.  An approach based on computing with words to manage experts behavior in consensus reaching processes with large groups , 2014, 2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE).

[23]  Enrique Herrera-Viedma,et al.  A consensus model for group decision making problems with linguistic interval fuzzy preference relations , 2012, Expert Syst. Appl..

[24]  Luis Martínez-López,et al.  A Semisupervised Multiagent System Model to Support Consensus-Reaching Processes , 2014, IEEE Transactions on Fuzzy Systems.

[25]  Francisco Herrera,et al.  A web based consensus support system for group decision making problems and incomplete preferences , 2010, Inf. Sci..

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

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

[28]  Luis Martínez-López,et al.  Integration of a Consistency Control Module within a Consensus Model , 2008, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[29]  Gülçin Büyüközkan,et al.  Multi-criteria decision making for e-marketplace selection , 2004, Internet Res..

[30]  Marc Roubens,et al.  Fuzzy sets and decision analysis , 1997, Fuzzy Sets Syst..

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

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

[33]  Cheng Xiao-hong,et al.  Improved clustering algorithm and its application in complex huge group decision-making , 2006 .

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

[35]  D. C. Morais,et al.  Group decision making on water resources based on analysis of individual rankings , 2012 .

[36]  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.

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

[38]  Ronald R. Yager,et al.  Penalizing strategic preference manipulation in multi-agent decision making , 2001, IEEE Trans. Fuzzy Syst..

[39]  Luis Martínez-López,et al.  Managing experts behavior in large-scale consensus reaching processes with uninorm aggregation operators , 2015, Appl. Soft Comput..

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

[41]  Yejun Xu,et al.  Optimal consensus models for group decision making under linguistic preference relations , 2016, Int. Trans. Oper. Res..

[42]  Yin-Feng Xu,et al.  Minimum-Cost Consensus Models Under Aggregation Operators , 2011, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[43]  Petr Ekel,et al.  A flexible consensus scheme for multicriteria group decision making under linguistic assessments , 2010, Inf. Sci..

[44]  JinBaek Kim A model and case for supporting participatory public decision making in e-democracy , 2008 .

[45]  T. Saaty,et al.  The Analytic Hierarchy Process , 1985 .

[46]  Jin Liang-hai Group consistency analysis for protecting the minority views , 2008 .

[47]  L. Martínez,et al.  CHALLENGES FOR IMPROVING CONSENSUS REACHING PROCESS IN COLLECTIVE DECISIONS , 2007 .

[48]  J. Deneubourg,et al.  From Social Network (Centralized vs. Decentralized) to Collective Decision-Making (Unshared vs. Shared Consensus) , 2012, PloS one.

[49]  Xiaohong Chen,et al.  Consensus model for multi-criteria large-group emergency decision making considering non-cooperative behaviors and minority opinions , 2015, Decis. Support Syst..

[50]  R. Yager,et al.  PARAMETERIZED AND-UKE AND OR-LIKE OWA OPERATORS , 1994 .

[51]  Luis Martínez-López,et al.  An Adaptive Consensus Support Model for Group Decision-Making Problems in a Multigranular Fuzzy Linguistic Context , 2009, IEEE Transactions on Fuzzy Systems.

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

[53]  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.

[54]  Zhibin Wu,et al.  A concise consensus support model for group decision making with reciprocal preference relations based on deviation measures , 2012, Fuzzy Sets Syst..

[55]  Slawomir Zadrozny,et al.  Supporting Consensus Reaching Processes under Fuzzy Preferences and a Fuzzy Majority via Linguistic Summaries , 2010, Preferences and Decisions.

[56]  Zeshui Xu,et al.  An automatic approach to reaching consensus in multiple attribute group decision making , 2009, Comput. Ind. Eng..

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

[58]  Francisco Herrera,et al.  A Consensus Model to Detect and Manage Noncooperative Behaviors in Large-Scale Group Decision Making , 2014, IEEE Transactions on Fuzzy Systems.

[59]  Janusz Kacprzyk,et al.  An Internet-based Group Decision and Consensus Reaching Support System , 2003 .

[60]  Luis Martínez-López,et al.  AFRYCA 2.0: an improved analysis framework for consensus reaching processes , 2017, Progress in Artificial Intelligence.

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