社会网络环境下基于行为管理的大群体共识决策方法

doi:10.16381/j.cnki.issn1003-207x.2023.1053

Abstract

Abstract:

A behavior management based consensus method for large-scale group decision-making is proposed to address potential non-cooperative behaviors， strategic manipulation behaviors， and delegation behaviors that may occur during the consensus reaching process of large-scale group decision-making under social network environments. Firstly， the directed Louvain method in social network analysis is introduced to divide decision-makers into subgroups within overlapping communities based on the directed social network， based on which subgroup members and subgroups are weighted based on social relationships and preference similarity. Subsequently， during the process of consensus reaching， by introducing the non-cooperative behavior identification and management methods based on the uninorm operator， identification and management mechanisms are designed for strategic manipulation behaviors based on the types of behaviors and social network analysis. A social relationship based management mechanism is also proposed for delegation behaviors， after which the consensus method for large-scale group decision-making based on behavior management is completed. Finally， a numerical example， simulation experiments and comparative analysis are conducted to verify the feasibility and effectiveness of the proposed method.

Key words: social network analysis, large-scale group decision-making, consensus reaching, behavior management

CLC Number:

C934

Ruxin Nie,Zhangpeng Tian,Heming Liang. A Consensus Method for Large-Scale Group Decision-Making Based on Behavior Management under Social Network Environments[J]. Chinese Journal of Management Science, 2024, 32(9): 35-47.

Figures/Tables 7

子群	子群成员
$G 1$	e₁，e₂，e₃，e₄，e₅，e₆，e₇，e₉
$G 2$	e₈，e₂₀，e₂₁，e₂₂，e₂₃，e₂₄，e₂₅
$G 3$	e₁₀，e₁₁，e₁₂，e₁₃，e₁₄，e₁₅，e₁₆，e₁₇，e₁₈，e₁₉

子群	$I C L k$	$O C L k$	$A T S k$	$S u b k$	$ω ˉ k$
$G 1$	0.3182	0.3356	0.0232	0.3200	0.3091
$G 2$	0.2883	0.3308	0.0259	0.2800	0.2569
$G 3$	0.3935	0.3336	0.0402	0.400	0.4340

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方法	信息表达形式	评价矩阵形式	子群划分方法	意见调整原则	策略操纵行为	退出行为	方案排序方法
文献[11]	图片模糊数	决策矩阵	COPRA	少数原则和外部专家的信任	——	基于信任关系的代理机制	拓展的MULTIMOORA
文献[10]	数值	加性偏好关系	COPRA	多数原则和外部专家的信任	——	基于偏好相似度的代理机制	最小偏差优先法
文献[21]	数值	模糊偏好关系	基于信任网络的子群发现算法	多数原则和意见领袖	基于意见领袖并排除操纵者	——	记分值
本文方法	不确定语言变量	决策矩阵	Louvain	多数原则和社交关系	基于行为类别调整权重	基于社交关系的代理机制	占优指数

方法	最终子群权重		子群共识度	群体共识度	备选方案评价值		备选方案排序
文献 [11]	G¹	0.3605	0.8379	0.8373	x₁	0.5006	x₂ > x₁ > x₃ > x₄
	G²	0.2431	0.8488		x₂	0.5022
	G³	0.3963	0.8332		x₃	0.4830
					x₄	0.4462	x₂ > x₁ > x₃ > x₄
文献 [10]	G¹	0.3243	0.8371	0.8377	x₁	0.4971
	G²	0.3115	0.8513		x₂	0.5050
	G³	0.3641	0.8322		x₃	0.4825
					x₄	0.4453	x₂ > x₃ > x₁ > x₄
文献 [21]	G¹	0.2736	0.8370	0.8444	x₁	0.4794
	G²	0.3682	0.8740		x₂	0.5159
	G³	0.3582	0.8197		x₃	0.4897
					x₄	0.4308
本文方法	G¹	0.2754	0.8370	0.8500	x₁	0.4848	x₂ > x₁ > x₃ > x₄
	G²	0.3677	0.8795		x₂	0.5202
	G³	0.3569	0.8298		x₃	0.4832
					x₄	0.4314

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A Consensus Method for Large-Scale Group Decision-Making Based on Behavior Management under Social Network Environments

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