{"title":"Motif importance measurement based on multi-attribute decision","authors":"Biao Feng;Yunyun Yang;Liao Zhang;Shuhong Xue;Xinlin Xie;Jiianrong Wang;Gang Xie","doi":"10.1093/comnet/cnac023","DOIUrl":null,"url":null,"abstract":"Complex network is an important tool for studying complex systems. From the mesoscopic perspective, the complex network is composed of a large number of different types of motifs, research on the importance of motifs is helpful to analyse the function and dynamics of a complex network. However, the importance of different motifs or the same kind of motifs in the network is different, and the importance of motifs is not only affected by a single factor. Therefore, we propose a comprehensive measurement method of motif importance based on multi-attribute decision-making (MAM). We use the idea of MAM and take into account the influence of the local attribute, global attribute and location attribute of the motif on the network structure and function, and the information entropy method is used to give different weight to different attributes, finally, a comprehensive importance measure of the motif is obtained. Experimental results on the artificial network and real networks show that our method is more direct and effective for a small network.","PeriodicalId":15442,"journal":{"name":"Journal of complex networks","volume":"10 4","pages":"2856-2869"},"PeriodicalIF":2.2000,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of complex networks","FirstCategoryId":"100","ListUrlMain":"https://ieeexplore.ieee.org/document/10070451/","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
Complex network is an important tool for studying complex systems. From the mesoscopic perspective, the complex network is composed of a large number of different types of motifs, research on the importance of motifs is helpful to analyse the function and dynamics of a complex network. However, the importance of different motifs or the same kind of motifs in the network is different, and the importance of motifs is not only affected by a single factor. Therefore, we propose a comprehensive measurement method of motif importance based on multi-attribute decision-making (MAM). We use the idea of MAM and take into account the influence of the local attribute, global attribute and location attribute of the motif on the network structure and function, and the information entropy method is used to give different weight to different attributes, finally, a comprehensive importance measure of the motif is obtained. Experimental results on the artificial network and real networks show that our method is more direct and effective for a small network.
期刊介绍:
Journal of Complex Networks publishes original articles and reviews with a significant contribution to the analysis and understanding of complex networks and its applications in diverse fields. Complex networks are loosely defined as networks with nontrivial topology and dynamics, which appear as the skeletons of complex systems in the real-world. The journal covers everything from the basic mathematical, physical and computational principles needed for studying complex networks to their applications leading to predictive models in molecular, biological, ecological, informational, engineering, social, technological and other systems. It includes, but is not limited to, the following topics: - Mathematical and numerical analysis of networks - Network theory and computer sciences - Structural analysis of networks - Dynamics on networks - Physical models on networks - Networks and epidemiology - Social, socio-economic and political networks - Ecological networks - Technological and infrastructural networks - Brain and tissue networks - Biological and molecular networks - Spatial networks - Techno-social networks i.e. online social networks, social networking sites, social media - Other applications of networks - Evolving networks - Multilayer networks - Game theory on networks - Biomedicine related networks - Animal social networks - Climate networks - Cognitive, language and informational network