Hierarchical Fuzzy Opinion Networks: Top-Down for Social Organizations and Bottom-Up for Election

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 article, we propose a top-down hierarchic...

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Published inIEEE transactions on fuzzy systems Vol. 28; no. 7; pp. 1265 - 1275
Main Author Wang, Li-Xin
Format Journal Article
LanguageEnglish
Published New York IEEE 01.07.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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Abstract 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 article, we propose 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 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 leader's opinion but the uncertainties of the agents in different groups are generally converge 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.
AbstractList 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 article, we propose 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 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 leader's opinion but the uncertainties of the agents in different groups are generally converge 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.
Author Wang, Li-Xin
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SubjectTerms Computer simulation
Convergence
Elections
Fuzzy opinion networks (FONs)
Fuzzy sets
Mathematical model
opinion dynamics
Organizations
Psychology
social hierarchy
Structural hierarchy
Uncertainty
Title Hierarchical Fuzzy Opinion Networks: Top-Down for Social Organizations and Bottom-Up for Election
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