An Improvement of Consensus in Group Decision-Making Through an Optimal Distribution of Information Granularity

Information granularity is an essential concept of Granular Computing that has successfully been applied in group decision-making to improve the consensus. Unlike the existing approaches, in which a uniform distribution of information granularity has been employed, this study proposes to improve the consensus by invoking a process of an optimal information granularity distribution across the experts' assessments provided in the form of fuzzy preference relations. An illustrative example and some simulated group decision-making problems are conducted to show evidence of its effectiveness. The results demonstrate that this optimal process, by being more flexible than the ones assuming that the information granularity is distributed in a uniform way, reaches a higher level of consensus.

[1]  W. Pedrycz,et al.  Construction and Evaluation of Information Granules: From the Perspective of Clustering , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[2]  Witold Pedrycz,et al.  Group Decision Making Based on Flexibility Degree of Fuzzy Numbers Under a Confidence Level , 2021, IEEE Transactions on Fuzzy Systems.

[3]  Michael J. Ryan,et al.  A Differential Evolution Algorithm for Military Workforce Planning Problems: A Simulation-Optimization Approach , 2020, 2020 IEEE Symposium Series on Computational Intelligence (SSCI).

[4]  Enrique Herrera-Viedma,et al.  A Granular Consensus Approach With Minimum Adjustment for Multi-criteria Group Decision Making , 2020, 2020 IEEE International Conference on Systems, Man, and Cybernetics (SMC).

[5]  Yejun Xu,et al.  An overview on managing additive consistency of reciprocal preference relations for consistency-driven decision making and fusion: Taxonomy and future directions , 2019, Inf. Fusion.

[6]  Witold Pedrycz,et al.  A Design of Granular Takagi–Sugeno Fuzzy Model Through the Synergy of Fuzzy Subspace Clustering and Optimal Allocation of Information Granularity , 2018, IEEE Transactions on Fuzzy Systems.

[7]  Witold Pedrycz,et al.  A Modified Consensus Model in Group Decision Making With an Allocation of Information Granularity , 2018, IEEE Transactions on Fuzzy Systems.

[8]  Slawomir Zadrozny,et al.  A novel game playing based approach to the modeling and support of consensus reaching in a group of agents , 2016, 2016 IEEE Symposium Series on Computational Intelligence (SSCI).

[9]  Francisco Herrera,et al.  A Historical Account of Types of Fuzzy Sets and Their Relationships , 2016, IEEE Transactions on Fuzzy Systems.

[10]  Witold Pedrycz,et al.  Building consensus in group decision making with an allocation of information granularity , 2014, Fuzzy Sets Syst..

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

[12]  Witold Pedrycz,et al.  Allocation of information granularity in optimization and decision-making models: Towards building the foundations of Granular Computing , 2014, Eur. J. Oper. Res..

[13]  Witold Pedrycz,et al.  Analytic Hierarchy Process (AHP) in Group Decision Making and its Optimization With an Allocation of Information Granularity , 2011, IEEE Transactions on Fuzzy Systems.

[14]  T. Hartnett Consensus-Oriented Decision-Making: The CODM Model for Facilitating Groups to Widespread Agreement , 2011 .

[15]  P. N. Suganthan,et al.  Differential Evolution: A Survey of the State-of-the-Art , 2011, IEEE Transactions on Evolutionary Computation.

[16]  Tsau Young Lin,et al.  Granular Computing , 2003, RSFDGrC.

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

[18]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[19]  J. Montero,et al.  Fuzzy rationality measures , 1994 .

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

[21]  M. S. Poole,et al.  Communication and Group Decision-Making , 1986 .

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