分层模糊意见网络：社会组织自上而下与选举自下而上
Hierarchical Fuzzy Opinion Networks: Top-Down for Social Organizations and Bottom-Up for Election
AI总结：
本文提出分层模糊意见网络，分别通过自上而下模型研究领导者意见的渗透与收敛、自下而上模型模拟选举中意见的逐层聚合，证明了分层小群体结构能显著提升收敛速度。
摘要：
模糊意见是高斯模糊集，其中心代表意见，标准差代表关于意见的不确定性，而模糊意见网络是以结构化方式连接若干模糊意见。本文提出：(a) 自上而下的分层模糊意见网络，用于建模高层领导者的意见如何渗透到社会组织成员中；(b) 自下而上的模糊意见网络，用于建模大量智能体的意见如何在选举等社会过程中逐层聚合成共识或少数意见。对于自上而下的分层模糊意见网络，我们证明所有智能体的意见收敛至领导者的意见，但不同群体中智能体的不确定性通常收敛至不同值。我们证明，通过将智能体组织成小群体的分层结构，收敛速度得到极大提升。对于自下而上的分层模糊意见网络，我们模拟了在某些典型情境下，广泛分布的意见如何以逐层方式相互协商与总结。
英文摘要：
A fuzzy opinion is a Gaussian fuzzy set with the center representing the opinion and the standard deviation representing the uncertainty about the opinion, and a fuzzy opinion network is a connection of a number of fuzzy opinions in a structured way. In this paper, we propose: (a) a top-down hierarchical fuzzy opinion network to model how the opinion of a top leader is penetrated into the members in social organizations, and (b) a bottom-up fuzzy opinion network to model how the opinions of a large number of agents are agglomerated layer-by-layer into a consensus or a few opinions in the social processes such as an election. For the top-down hierarchical fuzzy opinion network, we prove that the opinions of all the agents converge to the leaders opinion, but the uncertainties of the agents in different groups are generally converging to different values. We demonstrate that the speed of convergence is greatly improved by organizing the agents in a hierarchical structure of small groups. For the bottom-up hierarchical fuzzy opinion network, we simulate how a wide spectrum of opinions are negotiating and summarizing with each other in a layer-by-layer fashion in some typical situations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
