Research Progress of Complex Network Modeling Methods Based on Uncertainty Theory

Jing Wang, Jing Wang, Jingfeng Guo (), Liya Wang, Chunying Zhang and Bin Liu
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Jing Wang: College of Information Science and Engineering, Yanshan University, Qinhuangdao 066004, China
Jing Wang: College of Science, North China University of Science and Technology, Tangshan 063210, China
Jingfeng Guo: College of Information Science and Engineering, Yanshan University, Qinhuangdao 066004, China
Liya Wang: College of Science, North China University of Science and Technology, Tangshan 063210, China
Chunying Zhang: College of Science, North China University of Science and Technology, Tangshan 063210, China
Bin Liu: Big Data and Social Computing Research Center, Hebei University of Science and Technology, Shijiazhuang 050018, China

Mathematics, 2023, vol. 11, issue 5, 1-27

Abstract: A complex network in reality contains a large amount of information, but some information cannot be obtained accurately or is missing due to various reasons. An uncertain complex network is an effective mathematical model to deal with this problem, but its related research is still in its infancy. In order to facilitate the research into uncertainty theory in complex network modeling, this paper summarizes and analyzes the research hotspots of set pair analysis, rough set theory and fuzzy set theory in complex network modeling. This paper firstly introduces three kinds of uncertainty theories: the basic definition of set pair analysis, rough sets and fuzzy sets, as well as their basic theory of modeling in complex networks. Secondly, we aim at the three uncertainty theories and the establishment of specific models. The latest research progress in complex networks is reviewed, and the main application fields of the three uncertainty theories are discussed, respectively: community discovery, link prediction, influence maximization and decision-making problems. Finally, the prospect of the modeling and development of uncertain complex networks is put forward.

Keywords: set pair analysis; rough set; fuzzy set; complex network (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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