A novel consensus model for multi-attribute large-scale group decision making based on comprehensive behavior classification and adaptive weight updating

Abstract Consensus reaching process (CRP) has received increasing attention in recent years, as the demand for decision results with mutual agreement has greatly grown. With the current tendency to introduce e-democracy and public participation into decision making for public issues, decision makers from various backgrounds are more likely to encounter conflict when attempting to reach a consensus, especially under a multi-attribute large-scale group decision making framework. In order to improve the efficiency of the CRPs, different consensus models have been proposed. Specific patterns of behaviors presented by decision makers, such as non-cooperative behaviors and minority opinions, are also strictly supervised in these models. However, not every type of behaviors is specifically defined and given directed treatment, this includes the behavior of highly-weighted clusters, which may seriously bias group consensus. In this paper, we present a novel CRP model named uninorm-based comprehensive behavior classification (UBCBC) model with enhanced efficiency and rationality. First, a behavior classification model based on the calculation of a cooperative index and a non-cooperative index is proposed to classify three kinds of modification behaviors. Second, decision weights in the next iteration of the CRP are updated using a uninorm aggregation operator to reward or penalize the behaviors of clusters. Furthermore, a floating neutral element is introduced into the uninorm aggregation operator to lay stricter supervision upon highly-weighted clusters. Finally, an illustrative example and a numerical simulation are implemented to prove that this model is of high efficiency and feasibility.

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

[2]  Yinghua Shen,et al.  A partial binary tree DEA-DA cyclic classification model for decision makers in complex multi-attribute large-group interval-valued intuitionistic fuzzy decision-making problems , 2014, Inf. Fusion.

[3]  Wei Zhang,et al.  European Journal of Operational Research an Interval-valued Intuitionistic Fuzzy Principal Component Analysis Model-based Method for Complex Multi-attribute Large-group Decision-making , 2022 .

[4]  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.

[5]  Gui-Wu Wei,et al.  A method for multiple attribute group decision making based on the ET-WG and ET-OWG operators with 2-tuple linguistic information , 2010, Expert Syst. Appl..

[6]  Mark Colyvan,et al.  A formal model for consensus and negotiation in environmental management. , 2006, Journal of environmental management.

[7]  Yinghua Shen,et al.  A two-layer weight determination method for complex multi-attribute large-group decision-making experts in a linguistic environment , 2015, Inf. Fusion.

[8]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decision-making , 1988 .

[9]  Zeshui Xu,et al.  Group consensus algorithms based on preference relations , 2011, Inf. Sci..

[10]  Enrique Herrera-Viedma,et al.  Integrating experts' weights generated dynamically into the consensus reaching process and its applications in managing non-cooperative behaviors , 2016, Decis. Support Syst..

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

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

[13]  Mónica García-Melón,et al.  Influence Analysis in Consensus Search - A Multi Criteria Group Decision Making Approach in Environmental Management , 2016, Int. J. Inf. Technol. Decis. Mak..

[14]  Rita Almeida Ribeiro,et al.  A framework for dynamic multiple-criteria decision making , 2011, Decis. Support Syst..

[15]  Nils Rosmuller,et al.  Group decision making in infrastructure safety planning , 2004 .

[16]  Willem J. H. Van Groenendaal,et al.  Group decision support for public policy planning , 2003, Inf. Manag..

[17]  Cheng Xiao-hong Research on the group clustering method based on vector space , 2005 .

[18]  Enrique Herrera-Viedma,et al.  Consensus reaching model in the complex and dynamic MAGDM problem , 2016, Knowl. Based Syst..

[19]  Tomohiro Hayashida,et al.  Multiattribute utility analysis for policy selection and financing for the preservation of the forest , 2010, Eur. J. Oper. Res..

[20]  Taher Niknam,et al.  An efficient hybrid approach based on PSO, ACO and k-means for cluster analysis , 2010, Appl. Soft Comput..

[21]  Shyi-Ming Chen,et al.  Fuzzy multiple attributes group decision-making based on fuzzy preference relations , 2011, Expert Syst. Appl..

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

[23]  Francisco Herrera,et al.  A fusion approach for managing multi-granularity linguistic term sets in decision making , 2000, Fuzzy Sets Syst..

[24]  Taesik Lee,et al.  Group Decision Procedure to Model the Dependency Structure of Complex Systems: Framework and Case Study for Critical Infrastructures , 2015, Syst. Eng..

[25]  Debraj Ray,et al.  Group Decision-Making in the Shadow of Disagreement , 2004, J. Econ. Theory.

[26]  Zeshui Xu,et al.  Intuitionistic Fuzzy Aggregation Operators , 2007, IEEE Transactions on Fuzzy Systems.

[27]  Ronald R. Yager,et al.  Uninorm aggregation operators , 1996, Fuzzy Sets Syst..

[28]  Zeshui Xu,et al.  Emergency decision making for natural disasters: An overview , 2018 .

[29]  Xiao-hong Chen,et al.  A dynamical consensus method based on exit-delegation mechanism for large group emergency decision making , 2015, Knowl. Based Syst..

[30]  Zeshui Xu,et al.  A Dynamic Weight Determination Approach Based on the Intuitionistic Fuzzy Bayesian Network and Its Application to Emergency Decision Making , 2018, IEEE Transactions on Fuzzy Systems.

[31]  Slawomir Zadrozny,et al.  Consensus reaching via a GDSS with fuzzy majority and clustering of preference profiles , 1994, Ann. Oper. Res..

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

[33]  Enrique Herrera-Viedma,et al.  A visual interaction consensus model for social network group decision making with trust propagation , 2017, Knowl. Based Syst..

[34]  Luis Martínez-López,et al.  Low-dimensional Visualization of Experts' Preferences in Urgent Group Decision Making under Uncertainty , 2014, ICCS.

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

[36]  Zeshui Xu,et al.  Deriving experts' weights based on consistency maximization in intuitionistic fuzzy group decision making , 2014, J. Intell. Fuzzy Syst..

[37]  Enrique Herrera-Viedma,et al.  Fuzzy Group Decision Making With Incomplete Information Guided by Social Influence , 2018, IEEE Transactions on Fuzzy Systems.

[38]  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..

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

[40]  Enrique Herrera-Viedma,et al.  Strategic weight manipulation in multiple attribute decision making in an incomplete information context , 2017, 2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE).

[41]  Weina Wang,et al.  On fuzzy cluster validity indices , 2007, Fuzzy Sets Syst..

[42]  Ronald R. Yager,et al.  Structure of Uninorms , 1997, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[43]  Yen-Liang Chen,et al.  Identifying conflict patterns to reach a consensus - A novel group decision approach , 2016, Eur. J. Oper. Res..

[44]  Enrique Herrera-Viedma,et al.  A minimum adjustment cost feedback mechanism based consensus model for group decision making under social network with distributed linguistic trust , 2018, Inf. Fusion.

[45]  Kin Keung Lai,et al.  Variable precision rough set for group decision-making: An application , 2008, Int. J. Approx. Reason..

[46]  Zhixing Huang,et al.  To reach consensus using uninorm aggregation operator: A gossip‐based protocol , 2012, Int. J. Intell. Syst..

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

[48]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decisionmaking , 1988, IEEE Trans. Syst. Man Cybern..

[49]  Zhibin Wu,et al.  Consensus reaching models of linguistic preference relations based on distance functions , 2012, Soft Comput..

[50]  F. Chiclana,et al.  Strategic weight manipulation in multiple attribute decision making , 2018 .