{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,11,12]],"date-time":"2024-11-12T05:08:47Z","timestamp":1731388127347,"version":"3.28.0"},"reference-count":55,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[2024,2,21]],"date-time":"2024-02-21T00:00:00Z","timestamp":1708473600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"funder":[{"name":"Scientific Research Project of Hunan Provincial Department of Education","award":["22C1100"]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024,2,21]]},"abstract":"Abstract<\/jats:title>Nowadays, community detection is one of the important fields for understanding network topology and has many applications in information diffusion, interaction mining and migration behaviour analysis. Therefore, community detection in social networks can help to understand user behaviour and network characteristics. There are many community detection methods, which are often designed for single-layer social networks. However, real-world networks use several types of relationships to establish connections between users, each of which has different characteristics. Hence, real-world networks can be modelled as multiplex networks. In general, multiplex networks are an example of multilayer networks in which the relationships between users in different networks can be considered simultaneously. In these networks, each layer represents the connections between users in a social network. Meanwhile, communities in multiplex networks are identified based on the structure and connections between overlapping users in different layers of the network. In this article, the nonnegative matrix tri-factorization (NMTF) strategy is used to model multiplex social networks, and a solution for community detection is developed based on it. According to this strategy, a common consensus matrix and then an alignment matrix are extracted based on similarity metrics and network structure. The use of these matrices as a flexible modelling framework enables the detection of coherent community between overlapping users in multiplex social networks. We evaluate the proposed NMTF method through various metrics on a multiplex social network. The results of this evaluation show the better performance of NMTF in terms of community quality compared to equivalent methods.<\/jats:p>","DOI":"10.1093\/comnet\/cnae012","type":"journal-article","created":{"date-parts":[[2024,3,9]],"date-time":"2024-03-09T06:50:07Z","timestamp":1709967007000},"source":"Crossref","is-referenced-by-count":1,"title":["Community detection based on nonnegative matrix tri-factorization for multiplex social networks"],"prefix":"10.1093","volume":"12","author":[{"given":"Jun","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Artificial Intelligence, Hunan Railway Professional Technology College , Zhuzhou, Hunan 412001, China"}]},{"ORCID":"http:\/\/orcid.org\/0009-0006-7067-9129","authenticated-orcid":false,"given":"Fenfen","family":"Wang","sequence":"additional","affiliation":[{"name":"Finance Department, Hunan Railway Professional Technology College , Zhuzhou, Hunan 412001, China"}]},{"given":"Jian","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Artificial Intelligence, Hunan Railway Professional Technology College , Zhuzhou, Hunan 412001, China"}]}],"member":"286","published-online":{"date-parts":[[2024,3,8]]},"reference":[{"key":"2024030906442463000_cnae012-B1","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1007\/s13278-023-01193-7","article-title":"Toward rumor detection in social networks using multi-layer autoencoder neural network","volume":"14","author":"Qourbani","year":"2024","journal-title":"Soc. Net Anal Min"},{"key":"2024030906442463000_cnae012-B2","doi-asserted-by":"crossref","first-page":"440","DOI":"10.1109\/TCSS.2021.3114419","article-title":"A survey of community detection in complex networks using nonnegative matrix factorization","volume":"9","author":"He","year":"2021","journal-title":"IEEE Trans. Comput. Soc. Syst."},{"issue":"1","key":"2024030906442463000_cnae012-B3","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1186\/s40649-017-0043-5","article-title":"Hierarchical community detection via rank-2 symmetric nonnegative matrix factorization","volume":"4","author":"Du","year":"2017","journal-title":"Comput. Soc. Netw"},{"key":"2024030906442463000_cnae012-B4","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.7231","article-title":"Event-based adaptive resilient control for networked nonlinear systems against unknown deception attacks and actuator saturation","author":"Cao","year":"2024","journal-title":"Int. J. Robust Nonlinear Control."},{"key":"2024030906442463000_cnae012-B5","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1016\/j.jseaes.2017.04.032","article-title":"Major factors controlling fracture development in the Middle Permian Lucaogou Formation tight oil reservoir, Junggar Basin, NW China. J","volume":"146","author":"Zhang","year":"2017","journal-title":"Asian Earth Sci"},{"key":"2024030906442463000_cnae012-B6","doi-asserted-by":"crossref","first-page":"108858","DOI":"10.1016\/j.fss.2024.108858","article-title":"Performance recovery-based fuzzy robust control of networked nonlinear systems against actuator fault: a deferred actuator-switching method","volume":"480","author":"Huang","year":"2024","journal-title":"Fuzzy Sets Syst"},{"key":"2024030906442463000_cnae012-B7","doi-asserted-by":"publisher","DOI":"10.1109\/TEM.2023.3261940","article-title":"Disrupting the technology innovation efficiency of manufacturing enterprises through digital technology promotion: an evidence of 5G technology construction in China","author":"Jiang","year":"2023","journal-title":"IEEE Trans. Eng. Manage."},{"key":"2024030906442463000_cnae012-B8","doi-asserted-by":"crossref","first-page":"8343","DOI":"10.3390\/app12168343","article-title":"Bell shape embodying Zhongyong","volume":"12","author":"Liu","year":"2022","journal-title":"Appl. Sci"},{"key":"2024030906442463000_cnae012-B9","doi-asserted-by":"crossref","first-page":"104718","DOI":"10.1016\/j.scs.2023.104718","article-title":"Multi-criteria evaluation and optimization of a novel thermodynamic cycle based on a wind farm, Kalina cycle and storage system: An effort to improve efficiency and sustainability","volume":"96","author":"Zhu","year":"2023","journal-title":"Sustain. Cities Soc"},{"key":"2024030906442463000_cnae012-B10","doi-asserted-by":"crossref","first-page":"121292","DOI":"10.1016\/j.eswa.2023.121292","article-title":"Opinion formation analysis for Expressed and Private Opinions (EPOs) models: Reasoning private opinions from behaviors in group decision-making systems","volume":"236","author":"Dong","year":"2024","journal-title":"Exp. Syst. Appl"},{"key":"2024030906442463000_cnae012-B11","doi-asserted-by":"crossref","first-page":"16823","DOI":"10.1021\/acs.est.3c04956","article-title":"Genotoxicity assessment of haloacetaldehyde disinfection byproducts via a simplified yeast-based toxicogenomics assay","volume":"57","author":"Xue","year":"2023","journal-title":"Environ. Sci. Technol"},{"key":"2024030906442463000_cnae012-B12","doi-asserted-by":"publisher","DOI":"10.1093\/imamci\/dnae002","article-title":"Adaptive saturated two-bit-triggered bipartite consensus control for networked MASs with periodic disturbances: a low-computation method","author":"Wu","year":"2024","journal-title":"IMA J. Math. Control Inform."},{"key":"2024030906442463000_cnae012-B13","doi-asserted-by":"crossref","first-page":"473","DOI":"10.2174\/1574893617666220404145517","article-title":"Distance-based support vector machine to predict DNA N6-methyladenine modification","volume":"17","author":"Zhang","year":"2022","journal-title":"Curr. Bioinform"},{"key":"2024030906442463000_cnae012-B14","doi-asserted-by":"crossref","first-page":"5369","DOI":"10.1109\/JSYST.2023.3318525","article-title":"Event-based distributed finite-horizon H\u221econsensus control for constrained nonlinear multiagent systems","volume":"17","author":"Zhao","year":"2023","journal-title":"IEEE Syst. J"},{"key":"2024030906442463000_cnae012-B15","doi-asserted-by":"crossref","first-page":"1084","DOI":"10.1109\/TITS.2023.3276704","article-title":"Predicting Urban region heat via learning arrive-stay-leave behaviors of private cars","volume":"24","author":"Xiao","year":"2023","journal-title":"IEEE Trans. Intell. Transp. Syst"},{"key":"2024030906442463000_cnae012-B16","doi-asserted-by":"crossref","first-page":"672","DOI":"10.1016\/j.ins.2022.11.101","article-title":"On the role of community structure in evolution of opinion formation: A new bounded confidence opinion dynamics","volume":"621","author":"Peng","year":"2023","journal-title":"Inform. Sci"},{"key":"2024030906442463000_cnae012-B17","doi-asserted-by":"crossref","first-page":"1439","DOI":"10.1007\/s11265-023-01896-2","article-title":"Resource-constrained and socially selfish-based incentive algorithm for socially aware networks","volume":"95","author":"Xuemin","year":"2023","journal-title":"J. Signal Process. Syst"},{"key":"2024030906442463000_cnae012-B18","first-page":"612","article-title":"A class of digital integrators based on trigonometric quadrature rules","volume":"71","author":"Ali","year":"2023","journal-title":"IEEE Trans. Indus. Electron"},{"key":"2024030906442463000_cnae012-B19","doi-asserted-by":"crossref","first-page":"cnad053","DOI":"10.1093\/comnet\/cnad053","article-title":"Towards a semi-local random walk technique through multilayer social networks to improve link prediction","volume":"12","author":"Chen","year":"2024","journal-title":"J. Complex Netw"},{"key":"2024030906442463000_cnae012-B20","doi-asserted-by":"crossref","first-page":"100690","DOI":"10.1016\/j.iot.2023.100690","article-title":"A review on the edge caching mechanisms in the mobile edge computing: a social-aware perspective","volume":"22","author":"Reiss-Mirzaei","year":"2023","journal-title":"Internet Things"},{"key":"2024030906442463000_cnae012-B21","first-page":"1767","article-title":"Structural evolution and policy orientation of China\u2019s rare Earth innovation network: a social network analysis based on collaborative patents","volume":"33","author":"Hu","year":"2024","journal-title":"Polish J. Environ. Stud"},{"key":"2024030906442463000_cnae012-B22","doi-asserted-by":"crossref","first-page":"8227","DOI":"10.1007\/s00521-020-04958-9","article-title":"Application of RBF neural network optimal segmentation algorithm in credit rating","volume":"33","author":"Li","year":"2021","journal-title":"Neural Comput. Appl"},{"key":"2024030906442463000_cnae012-B23","doi-asserted-by":"crossref","first-page":"e6829","DOI":"10.1002\/cpe.6829","article-title":"A novel similarity measure of link prediction in multi-layer social networks based on reliable paths","volume":"34","author":"Yang","year":"2022","journal-title":"Concurr. Comput.: Pract. Exp"},{"key":"2024030906442463000_cnae012-B24","doi-asserted-by":"crossref","first-page":"3277","DOI":"10.1007\/s10586-021-03307-2","article-title":"A cost-efficient auto-scaling mechanism for IoT applications in fog computing environment: a deep learning-based approach","volume":"24","author":"Etemadi","year":"2021","journal-title":"Cluster Comput"},{"key":"2024030906442463000_cnae012-B25","doi-asserted-by":"crossref","first-page":"4010","DOI":"10.1109\/TFUZZ.2023.3273566","article-title":"Hierarchical sliding-mode surface-based adaptive critic tracking control for nonlinear multiplayer zero-sum games via generalized Fuzzy hyperbolic models","volume":"31","author":"Zhao","year":"2023","journal-title":"IEEE Trans. Fuzzy Syst"},{"key":"2024030906442463000_cnae012-B26","doi-asserted-by":"crossref","first-page":"D1123","DOI":"10.1093\/nar\/gkab957","article-title":"webTWAS: a resource for disease candidate susceptibility genes identified by transcriptome-wide association study","volume":"50","author":"Cao","year":"2022","journal-title":"Nucleic Acids Res"},{"key":"2024030906442463000_cnae012-B27","doi-asserted-by":"crossref","first-page":"5126","DOI":"10.1109\/TKDE.2021.3054782","article-title":"A unified collaborative representation learning for neural-network based recommender systems","volume":"34","author":"Xu","year":"2021","journal-title":"IEEE Trans. Knowl. Data Eng"},{"key":"2024030906442463000_cnae012-B28","doi-asserted-by":"publisher","DOI":"10.32604\/cmes.2023.046692","article-title":"PAL-BERT: an improved question answering model","author":"Zheng","year":"2023","journal-title":"CMES-Comput. Model. Eng. Sci"},{"key":"2024030906442463000_cnae012-B29","doi-asserted-by":"publisher","DOI":"10.1109\/TASE.2023.3317902","article-title":"Zero-sum game-based hierarchical sliding-mode fault-tolerant tracking control for interconnected nonlinear systems via adaptive critic design","author":"Zhao","year":"2023","journal-title":"IEEE Trans. Autom. Sci. Eng."},{"key":"2024030906442463000_cnae012-B30","doi-asserted-by":"crossref","first-page":"102173","DOI":"10.1016\/j.inffus.2023.102173","article-title":"Analysis of the influence of trust in opposing opinions: An inclusiveness-degree based Signed Deffuant\u2013Weisbush model","volume":"104","author":"Jiang","year":"2024","journal-title":"Inform. Fus"},{"key":"2024030906442463000_cnae012-B31","doi-asserted-by":"crossref","first-page":"6772","DOI":"10.1080\/00207543.2021.1887534","article-title":"Multi-objective robust optimisation model for MDVRPLS in refined oil distribution","volume":"60","author":"Xu","year":"2022","journal-title":"Int. J. Prod. Res"},{"key":"2024030906442463000_cnae012-B32","doi-asserted-by":"crossref","first-page":"101309","DOI":"10.1016\/j.esr.2024.101309","article-title":"Research on the evolution of China\u2019s photovoltaic technology innovation network from the perspective of patents","volume":"51","author":"Hu","year":"2024","journal-title":"Energy Strat. Rev"},{"key":"2024030906442463000_cnae012-B33","doi-asserted-by":"crossref","first-page":"4989","DOI":"10.1007\/s11063-022-11076-1","article-title":"A novel link prediction model in multilayer online social networks using the development of Katz similarity metric","volume":"55","author":"Gao","year":"2023","journal-title":"Neural Process. Lett"},{"key":"2024030906442463000_cnae012-B34","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1016\/j.jcss.2013.03.012","article-title":"Mixing local and global information for community detection in large networks","volume":"80","author":"De Meo","year":"2014","journal-title":"J. Comp. Syst. Sci"},{"first-page":"16","year":"2007","author":"Du","key":"2024030906442463000_cnae012-B35"},{"key":"2024030906442463000_cnae012-B36","doi-asserted-by":"crossref","first-page":"2082","DOI":"10.1109\/TNET.2017.2705239","article-title":"Situation-aware dynamic service coordination in an IoT environment","volume":"25","author":"Cheng","year":"2017","journal-title":"IEEE\/ACM Trans. Netw"},{"key":"2024030906442463000_cnae012-B37","doi-asserted-by":"crossref","first-page":"1765","DOI":"10.1007\/s00521-019-04566-2","article-title":"Stock intelligent investment strategy based on support vector machine parameter optimization algorithm","volume":"32","author":"Li","year":"2020","journal-title":"Neural Comput. Appl"},{"key":"2024030906442463000_cnae012-B38","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1016\/j.ins.2022.06.073","article-title":"Trajectory prediction for heterogeneous traffic-agents using knowledge correction data-driven model","volume":"608","author":"Xu","year":"2022","journal-title":"Inform. Sci"},{"key":"2024030906442463000_cnae012-B39","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/j.jnca.2018.02.011","article-title":"Community detection in networks: a multidisciplinary review","volume":"108","author":"Javed","year":"2018","journal-title":"J. Netw. Comp. Appl"},{"first-page":"25","year":"2012","author":"Xie","key":"2024030906442463000_cnae012-B40"},{"key":"2024030906442463000_cnae012-B41","doi-asserted-by":"crossref","first-page":"512","DOI":"10.1002\/sam.10133","article-title":"A classification for community discovery methods in complex networks","volume":"4","author":"Coscia","year":"2011","journal-title":"Stat Anal. Data Min: ASA Data Sci. J"},{"key":"2024030906442463000_cnae012-B42","doi-asserted-by":"crossref","first-page":"33839","DOI":"10.1016\/j.ijhydene.2022.07.251","article-title":"Model parameters identification of the PEMFCs using an improved design of Crow Search Algorithm","volume":"47","author":"Duan","year":"2022","journal-title":"Int. J. Hydrogen Energy"},{"key":"2024030906442463000_cnae012-B43","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s41109-021-00415-1","article-title":"LPbyCD: a new scalable and interpretable approach for link prediction via community detection in bipartite networks","volume":"6","author":"Koptelov","year":"2021","journal-title":"Appl. Netw. Sci"},{"key":"2024030906442463000_cnae012-B44","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/j.future.2018.10.045","article-title":"A distributed overlapping community detection model for large graphs using autoencoder","volume":"94","author":"Bhatia","year":"2019","journal-title":"Fut. Gener. Comput. Syst"},{"key":"2024030906442463000_cnae012-B45","doi-asserted-by":"crossref","first-page":"122354","DOI":"10.1016\/j.physa.2019.122354","article-title":"A new method for detecting communities and their centers using the Adamic\/Adar Index and game theory","volume":"535","author":"Hesamipour","year":"2019","journal-title":"Phys. A: Statist. Mech. Appl"},{"key":"2024030906442463000_cnae012-B46","first-page":"796","article-title":"Pearson coefficient matrix for studying the correlation of community detection scores in multi-objective evolutionary algorithm","volume":"9","author":"Abbood","year":"2021","journal-title":"Period. Eng. Nat. Sci"},{"key":"2024030906442463000_cnae012-B47","doi-asserted-by":"crossref","first-page":"6423","DOI":"10.1109\/ACCESS.2024.3351709","article-title":"Community detection in multiplex networks based on orthogonal nonnegative matrix tri-factorization","volume":"12","author":"Ortiz-Bouza","year":"2024","journal-title":"IEEE Access"},{"key":"2024030906442463000_cnae012-B48","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2021\/1772407","article-title":"Community detection based on density peak clustering model and multiple attribute decision-making strategy topsis","volume":"2021","author":"Cheng","year":"2021","journal-title":"Complexity"},{"key":"2024030906442463000_cnae012-B49","first-page":"1","article-title":"Network embedding for community detection in attributed networks","volume":"14","author":"Sun","year":"2020","journal-title":"ACM Trans. Knowl. Discov. Data"},{"key":"2024030906442463000_cnae012-B50","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1007\/s10618-010-0181-y","article-title":"Community discovery using nonnegative matrix factorization","volume":"22","author":"Wang","year":"2011","journal-title":"Data Min. Knowl. Discov"},{"first-page":"252","year":"2013","author":"Liu","key":"2024030906442463000_cnae012-B51"},{"key":"2024030906442463000_cnae012-B52","first-page":"556","article-title":"Algorithms for non-negative matrix factorization","volume":"13","author":"Lee","year":"2000","journal-title":"Adv. Neural Inform. Process. Syst"},{"first-page":"459","year":"2013","author":"Rus","key":"2024030906442463000_cnae012-B53"},{"key":"2024030906442463000_cnae012-B54","doi-asserted-by":"crossref","first-page":"108835","DOI":"10.1016\/j.cie.2022.108835","article-title":"Dynamic pickup and delivery problem with transshipments and LIFO constraints","volume":"175","author":"Xu","year":"2023","journal-title":"Comput. Indus. Eng"},{"key":"2024030906442463000_cnae012-B55","doi-asserted-by":"crossref","first-page":"2346","DOI":"10.1109\/TCYB.2021.3117705","article-title":"Understanding private car aggregation effect via spatio-temporal analysis of trajectory data","volume":"53","author":"Xiao","year":"2021","journal-title":"IEEE Trans. Cybern"}],"container-title":["Journal of Complex Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/academic.oup.com\/comnet\/article-pdf\/12\/2\/cnae012\/56911963\/cnae012.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/academic.oup.com\/comnet\/article-pdf\/12\/2\/cnae012\/56911963\/cnae012.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,11,11]],"date-time":"2024-11-11T12:25:16Z","timestamp":1731327916000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/comnet\/article\/doi\/10.1093\/comnet\/cnae012\/7624603"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,2,21]]},"references-count":55,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2024,2,21]]}},"URL":"https:\/\/doi.org\/10.1093\/comnet\/cnae012","relation":{},"ISSN":["2051-1329"],"issn-type":[{"type":"electronic","value":"2051-1329"}],"subject":[],"published-other":{"date-parts":[[2024,4,1]]},"published":{"date-parts":[[2024,2,21]]}}}