A hesitant fuzzy linguistic bi-objective clustering method for large-scale group decision-making

Abstract Large-scale group decision-making process has received an increasing attention in recent years. After making the general survey of the existing large-scale group decision-making methods, we have found that: 1) consistency threshold value of hesitant fuzzy linguistic preference relation is fixed in traditional consistency measures; 2) the clustering process of LSGDM does not consider the similar relationship between different evaluation information and the information quality simultaneously. Thus, in order to tackle the above issues and describe the hesitancy of experts in the decision-making process, the paper proposes a hesitant fuzzy linguistic bi-objective clustering method considering consensus and information entropy for tackling large-scale group decision-making problems. Firstly, a selection procedure for preference information is developed to quickly select suitable experts who meet the consistency requirements. Then, a bi-objective clustering method based on the group consensus degree indicator and group information entropy indicator is proposed to divide the experts into different clusters, considering the similar relationship and the quality of evaluation information simultaneously. After that, comprehensive preference information and the overall ranking of alternatives can be obtained. In the end, an illustrative example of choosing the optimal way to protect the personal information while defending against COVID-19 and some comparative study show that the proposed method is valid for large-scale group decision-making problems and has good performance and strong robustness.

[1]  Oscar Castillo,et al.  A novel multi-objective evolutionary algorithm with fuzzy logic based adaptive selection of operators: FAME , 2019, Inf. Sci..

[2]  Francisco Herrera,et al.  Large-scale group decision making model based on social network analysis: Trust relationship-based conflict detection and elimination , 2019, Eur. J. Oper. Res..

[3]  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..

[4]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[5]  Xiaohong Chen,et al.  Confidence consensus-based model for large-scale group decision making: A novel approach to managing non-cooperative behaviors , 2019, Inf. Sci..

[6]  Witold Pedrycz,et al.  Assessment for hierarchical medical policy proposals using hesitant fuzzy linguistic analytic network process , 2018, Knowl. Based Syst..

[7]  Kumaraswamy Ponnambalam,et al.  A clustering method for large-scale group decision-making with multi-stage hesitant fuzzy linguistic terms , 2019, Inf. Fusion.

[8]  Zeshui Xu,et al.  A method based on linguistic aggregation operators for group decision making with linguistic preference relations , 2004, Inf. Sci..

[9]  Zhibin Wu,et al.  A consensus model for large-scale group decision making with hesitant fuzzy information and changeable clusters , 2018, Inf. Fusion.

[10]  Yucheng Dong,et al.  On consistency measures of linguistic preference relations , 2008, Eur. J. Oper. Res..

[11]  Tong Wu,et al.  An interval type-2 fuzzy clustering solution for large-scale multiple-criteria group decision-making problems , 2016, Knowl. Based Syst..

[12]  Zeshui Xu,et al.  Hesitant fuzzy linguistic entropy and cross-entropy measures and alternative queuing method for multiple criteria decision making , 2017, Inf. Sci..

[13]  Guiwu Wei,et al.  Some induced correlated aggregating operators with intuitionistic fuzzy information and their application to multiple attribute group decision making , 2012, Expert Syst. Appl..

[14]  Xuanhua Xu,et al.  Clustering-based method for large group decision making with hesitant fuzzy linguistic information: Integrating correlation and consensus , 2020, Appl. Soft Comput..

[15]  Zhiming Zhang,et al.  On the use of multiplicative consistency in hesitant fuzzy linguistic preference relations , 2014, Knowl. Based Syst..

[16]  Zeshui Xu,et al.  Novel hesitant fuzzy linguistic entropy and cross-entropy measures in multiple criteria decision making , 2018, Applied Intelligence.

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

[18]  James A. Rodger,et al.  An expert system gap analysis and empirical triangulation of individual differences, interventions, and information technology applications in alertness of railroad workers , 2020, Expert Syst. Appl..

[19]  Fanyong Meng,et al.  Group decision making with interval linguistic hesitant fuzzy preference relations , 2019, Expert Syst. Appl..

[20]  Cong Liu,et al.  A General Multiobjective Clustering Approach Based on Multiple Distance Measures , 2018, IEEE Access.

[21]  Zijian Shi,et al.  A novel consensus model for multi-attribute large-scale group decision making based on comprehensive behavior classification and adaptive weight updating , 2018, Knowl. Based Syst..

[22]  Zhang-peng Tian,et al.  Social network analysis-based consensus-supporting framework for large-scale group decision-making with incomplete interval type-2 fuzzy information , 2019, Inf. Sci..

[23]  Francisco Herrera,et al.  A 2-tuple fuzzy linguistic representation model for computing with words , 2000, IEEE Trans. Fuzzy Syst..

[24]  Zhi-jiao Du,et al.  A trust-similarity analysis-based clustering method for large-scale group decision-making under a social network , 2020, Inf. Fusion.

[25]  Francisco Herrera,et al.  Sparse Representation-Based Intuitionistic Fuzzy Clustering Approach to Find the Group Intra-Relations and Group Leaders for Large-Scale Decision Making , 2019, IEEE Transactions on Fuzzy Systems.

[26]  Zeshui Xu,et al.  A thermodynamic method of intuitionistic fuzzy MCDM to assist the hierarchical medical system in China , 2017, Inf. Sci..

[27]  O. Jaramillo,et al.  Optimal operation of a parabolic solar collector with twisted-tape insert by multi-objective genetic algorithms , 2019 .

[28]  Zeshui Xu,et al.  Consistency Measures for Hesitant Fuzzy Linguistic Preference Relations , 2014, IEEE Transactions on Fuzzy Systems.

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

[30]  Zhen Zhang,et al.  Managing Multigranular Linguistic Distribution Assessments in Large-Scale Multiattribute Group Decision Making , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[31]  Yejun Xu,et al.  Alternative Ranking-Based Clustering and Reliability Index-Based Consensus Reaching Process for Hesitant Fuzzy Large Scale Group Decision Making , 2019, IEEE Transactions on Fuzzy Systems.