{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T12:14:40Z","timestamp":1780402480969,"version":"3.54.1"},"reference-count":38,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Engineering Applications of Artificial Intelligence"],"published-print":{"date-parts":[[2026,8]]},"DOI":"10.1016\/j.engappai.2026.114979","type":"journal-article","created":{"date-parts":[[2026,5,6]],"date-time":"2026-05-06T12:36:21Z","timestamp":1778070981000},"page":"114979","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"P2","title":["Granular-ball based robust representation learning for social recommendation"],"prefix":"10.1016","volume":"177","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8239-7176","authenticated-orcid":false,"given":"Xiaofei","family":"Zhu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shiyan","family":"Wu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Li","family":"Liu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shuyin","family":"Xia","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yi","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Guoyin","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.engappai.2026.114979_b1","doi-asserted-by":"crossref","DOI":"10.1016\/j.engappai.2023.106553","article-title":"An enhanced recommender system based on heterogeneous graph link prediction","volume":"124","author":"Afoudi","year":"2023","journal-title":"Eng. Appl. Artif. Intell."},{"issue":"10","key":"10.1016\/j.engappai.2026.114979_b2","doi-asserted-by":"crossref","first-page":"10R001","DOI":"10.1088\/1742-5468\/ad6139","article-title":"Fast unfolding of communities in large networks: 15 years later","volume":"2024","author":"Blondel","year":"2024","journal-title":"J. Stat. Mech. Theory Exp."},{"key":"10.1016\/j.engappai.2026.114979_b3","doi-asserted-by":"crossref","unstructured":"Chen, X., Lei, P.I., Sheng, Y., Liu, Y., Gong, Z., 2024. Social Influence Learning for Recommendation Systems. In: Proceedings of the 33rd ACM International Conference on Information and Knowledge Management. pp. 312\u2013322.","DOI":"10.1145\/3627673.3679598"},{"key":"10.1016\/j.engappai.2026.114979_b4","doi-asserted-by":"crossref","unstructured":"Chen, C., Zhang, M., Liu, Y., Ma, S., 2019. Social Attentional Memory Network: Modeling Aspect- and Friend-Level Differences in Recommendation. In: Proceedings of the 20th ACM International Conference on Web Search and Data Mining. pp. 177\u2013185.","DOI":"10.1145\/3289600.3290982"},{"issue":"12","key":"10.1016\/j.engappai.2026.114979_b5","doi-asserted-by":"crossref","first-page":"17202","DOI":"10.1109\/TNNLS.2023.3300916","article-title":"A fast granular-ball-based density peaks clustering algorithm for large-scale data","volume":"35","author":"Cheng","year":"2024","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"10.1016\/j.engappai.2026.114979_b6","doi-asserted-by":"crossref","unstructured":"Du, J., Ye, Z., Yao, L., Guo, B., Yu, Z., 2022. Socially-aware Dual Contrastive Learning for Cold-Start Recommendation. In: Proceedings of the 45th International ACM SIGIR Conference on Research and Development in Information Retrieval. pp. 1927\u20131932.","DOI":"10.1145\/3477495.3531780"},{"key":"10.1016\/j.engappai.2026.114979_b7","doi-asserted-by":"crossref","unstructured":"Fan, W., Ma, Y., Li, Q., He, Y., Zhao, Y.E., Tang, J., Yin, D., 2019. Graph Neural Networks for Social Recommendation. In: Proceedings of the ACM on Web Conference 2019. pp. 417\u2013426.","DOI":"10.1145\/3308558.3313488"},{"key":"10.1016\/j.engappai.2026.114979_b8","doi-asserted-by":"crossref","unstructured":"Huang, Y., Liang, K., Huang, Y., Zeng, X., Chen, K., Zhou, B., 2025. Social Recommendation via Graph-Level Counterfactual Augmentation. In: Proceedings of the Thirty-Ninth AAAI Conference on Artificial Intelligence. pp. 334\u2013342.","DOI":"10.1609\/aaai.v39i1.32011"},{"key":"10.1016\/j.engappai.2026.114979_b9","doi-asserted-by":"crossref","unstructured":"Huang, C., Xu, H., Xu, Y., Dai, P., Xia, L., Lu, M., Bo, L., Xing, H., Lai, X., Ye, Y., 2021. Knowledge-aware Coupled Graph Neural Network for Social Recommendation. In: Proceedings of the Thirty-Fifth AAAI Conference on Artificial Intelligence. pp. 4115\u20134122.","DOI":"10.1609\/aaai.v35i5.16533"},{"key":"10.1016\/j.engappai.2026.114979_b10","doi-asserted-by":"crossref","DOI":"10.1016\/j.engappai.2025.112092","article-title":"GREEN: graph reasoning enhanced encoder network for social intention-aware forecast of vessel navigating trajectory","volume":"161","author":"Jiang","year":"2025","journal-title":"Eng. Appl. Artif. Intell."},{"issue":"6","key":"10.1016\/j.engappai.2026.114979_b11","first-page":"71","article-title":"Socialcu: integrating commonalities and uniqueness of users and items for social recommendation","volume":"27","author":"Li","year":"2024","journal-title":"Proc. ACM Web Conf. 2024"},{"key":"10.1016\/j.engappai.2026.114979_b12","doi-asserted-by":"crossref","unstructured":"Li, Z., Xia, L., Huang, C., 2024. RecDiff: Diffusion Model for Social Recommendation. In: Proceedings of the 33rd ACM International Conference on Information and Knowledge Management. pp. 1346\u20131355.","DOI":"10.1145\/3627673.3679630"},{"key":"10.1016\/j.engappai.2026.114979_b13","doi-asserted-by":"crossref","unstructured":"Long, X., Huang, C., Xu, Y., Xu, H., Dai, P., Xia, L., Bo, L., 2021. Social Recommendation with Self-Supervised Metagraph Informax Network. In: Proceedings of the 30th ACM International Conference on Information and Knowledge Management. pp. 1160\u20131169.","DOI":"10.1145\/3459637.3482480"},{"key":"10.1016\/j.engappai.2026.114979_b14","first-page":"1349","article-title":"Granular computing: an introduction","volume":"vol. 3","author":"Pedrycz","year":"2001"},{"key":"10.1016\/j.engappai.2026.114979_b15","doi-asserted-by":"crossref","unstructured":"Quan, Y., Ding, J., Gao, C., Yi, L., Jin, D., Li, Y., 2023. Robust Preference-Guided Denoising for Graph based Social Recommendation. In: Proceedings of the ACM Web Conference 2023. pp. 1097\u20131108.","DOI":"10.1145\/3543507.3583374"},{"issue":"1","key":"10.1016\/j.engappai.2026.114979_b16","doi-asserted-by":"crossref","first-page":"1303","DOI":"10.2991\/ijcis.d.210406.001","article-title":"H2rec: Homogeneous and heterogeneous network embedding fusion for social recommendation","volume":"14","author":"Shao","year":"2021","journal-title":"Int. J. Comput. Intell. Syst."},{"issue":"10","key":"10.1016\/j.engappai.2026.114979_b17","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1145\/3661821","article-title":"A survey of graph neural networks for social recommender systems","volume":"56","author":"Sharma","year":"2024","journal-title":"ACM Comput. Surv."},{"key":"10.1016\/j.engappai.2026.114979_b18","doi-asserted-by":"crossref","unstructured":"Song, W., Xiao, Z., Wang, Y., Charlin, L., Zhang, M., Tang, J., 2019. Session-Based Social Recommendation via Dynamic Graph Attention Networks. In: Proceedings of the Twelfth ACM International Conference on Web Search and Data Mining. pp. 555\u2013563.","DOI":"10.1145\/3289600.3290989"},{"key":"10.1016\/j.engappai.2026.114979_b19","doi-asserted-by":"crossref","unstructured":"Su, P., Huang, S., Ma, W., Xiong, D., Lv, J., 2025. Multi-view Granular-ball Contrastive Clustering. In: Proceedings of the Thirty-Ninth AAAI Conference on Artificial Intelligence. pp. 20637\u201320645.","DOI":"10.1609\/aaai.v39i19.34274"},{"key":"10.1016\/j.engappai.2026.114979_b20","doi-asserted-by":"crossref","unstructured":"Wang, G., 2017. Data-Driven Granular Cognitive Computing. In: Proceedings of the International Joint Conference 2017. pp. 13\u201324.","DOI":"10.1007\/978-3-319-60837-2_2"},{"key":"10.1016\/j.engappai.2026.114979_b21","doi-asserted-by":"crossref","unstructured":"Wang, X., He, X., Wang, M., Feng, F., Chua, T., 2019. Neural Graph Collaborative Filtering. In: Proceedings of the 42nd International ACM SIGIR Conference on Research and Development in Information Retrieval. pp. 165\u2013174.","DOI":"10.1145\/3331184.3331267"},{"key":"10.1016\/j.engappai.2026.114979_b22","doi-asserted-by":"crossref","unstructured":"Wang, T., Xia, L., Huang, C., 2023. Denoised Self-Augmented Learning for Social Recommendation. In: Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence. pp. 2324\u20132331.","DOI":"10.24963\/ijcai.2023\/258"},{"key":"10.1016\/j.engappai.2026.114979_b23","doi-asserted-by":"crossref","unstructured":"Wu, J., Fan, W., Chen, J., Liu, S., Li, Q., Tang, K., 2022. Disentangled Contrastive Learning for Social Recommendation. In: Proceedings of the 31st ACM International Conference on Information & Knowledge Management. pp. 4570\u20134574.","DOI":"10.1145\/3511808.3557583"},{"key":"10.1016\/j.engappai.2026.114979_b24","doi-asserted-by":"crossref","unstructured":"Wu, L., Sun, P., Fu, Y., Hong, R., Wang, X., Wang, M., 2019. A Neural Influence Diffusion Model for Social Recommendation. In: Proceedings of the 42nd International ACM SIGIR Conference on Research and Development in Information Retrieval. pp. 235\u2013244.","DOI":"10.1145\/3331184.3331214"},{"issue":"5","key":"10.1016\/j.engappai.2026.114979_b25","doi-asserted-by":"crossref","first-page":"97:1","DOI":"10.1145\/3535101","article-title":"Graph neural networks in recommender systems: A survey","volume":"55","author":"Wu","year":"2023","journal-title":"ACM Comput. Surv."},{"key":"10.1016\/j.engappai.2026.114979_b26","doi-asserted-by":"crossref","first-page":"136","DOI":"10.1016\/j.ins.2019.01.010","article-title":"Granular ball computing classifiers for efficient, scalable and robust learning","volume":"483","author":"Xia","year":"2019","journal-title":"Inf. Sci."},{"key":"10.1016\/j.engappai.2026.114979_b27","doi-asserted-by":"crossref","unstructured":"Xia, S., Ma, X., Liu, Z., Liu, C., Zhao, S., Wang, G., 2025a. Graph Coarsening via Supervised Granular-Ball for Scalable Graph Neural Network Training. In: Proceedings of the Thirty-Ninth AAAI Conference on Artificial Intelligence. pp. 12872\u201312880.","DOI":"10.1609\/aaai.v39i12.33404"},{"key":"10.1016\/j.engappai.2026.114979_b28","series-title":"Granular-ball computing: an efficient, robust, and interpretable adaptive multi-granularity representation and computation method","author":"Xia","year":"2023"},{"key":"10.1016\/j.engappai.2026.114979_b29","doi-asserted-by":"crossref","unstructured":"Xia, S., Wang, G., Xu, G., Zhao, S., Wang, G., 2025b. GBGC: Efficient and Adaptive Graph Coarsening via Granular-ball Computing. In: Proceedings of the Thirty-Fourth International Joint Conference on Artificial Intelligence. pp. 3489\u20133497.","DOI":"10.24963\/ijcai.2025\/388"},{"issue":"12","key":"10.1016\/j.engappai.2026.114979_b30","doi-asserted-by":"crossref","first-page":"11298","DOI":"10.1109\/TPAMI.2025.3596615","article-title":"AW-GBGAE: an adaptive weighted graph autoencoder based on granular-balls for general data clustering","volume":"47","author":"Xie","year":"2025","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"10.1016\/j.engappai.2026.114979_b31","doi-asserted-by":"crossref","unstructured":"Xie, J., Dai, M., Xia, S., Zhang, J., Wang, G., Gao, X., 2024. An Efficient Fuzzy Stream Clustering Method Based on Granular-Ball Structure. In: Proceedings of the 40th IEEE International Conference on Data Engineering. pp. 901\u2013913.","DOI":"10.1109\/ICDE60146.2024.00074"},{"key":"10.1016\/j.engappai.2026.114979_b32","unstructured":"Xiong, F., Sun, H., Luo, G.X., Pan, S., Qiu, M., Wang, L., 2024. Graph Attention Network with High-Order Neighbor Information Propagation for Social Recommendation. In: Proceedings of the Thirty-Third International Joint Conference on Artificial Intelligence. pp. 2478\u20132486."},{"key":"10.1016\/j.engappai.2026.114979_b33","doi-asserted-by":"crossref","unstructured":"Xiong, F., Zhang, T., Pan, S., Luo, G., Wang, L., 2025. Robust Graph Based Social Recommendation Through Contrastive Multi-View Learning. In: Proceedings of the Thirty-Ninth AAAI Conference on Artificial Intelligence. pp. 12890\u201312898.","DOI":"10.1609\/aaai.v39i12.33406"},{"key":"10.1016\/j.engappai.2026.114979_b34","doi-asserted-by":"crossref","unstructured":"Xu, J., Chen, Z., Yang, S., Li, J., Wang, H., Ngai, E.C.H., 2025. MENTOR: Multi-level Self-supervised Learning for Multimodal Recommendation. In: Proceedings of the Thirty-Ninth AAAI Conference on Artificial Intelligence. pp. 12908\u201312917.","DOI":"10.1609\/aaai.v39i12.33408"},{"issue":"8","key":"10.1016\/j.engappai.2026.114979_b35","doi-asserted-by":"crossref","first-page":"1633","DOI":"10.1109\/TPAMI.2016.2605085","article-title":"Social collaborative filtering by trust","volume":"39","author":"Yang","year":"2017","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"9","key":"10.1016\/j.engappai.2026.114979_b36","doi-asserted-by":"crossref","first-page":"16534","DOI":"10.1109\/TNNLS.2025.3563889","article-title":"A robust three-way classifier with shadowed granular balls based on justifiable granularity","volume":"36","author":"Yang","year":"2025","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"10.1016\/j.engappai.2026.114979_b37","doi-asserted-by":"crossref","unstructured":"Yu, J., Yin, H., Li, J., Wang, Q., Hung, N.Q.V., Zhang, X., 2021. Self-Supervised Multi-Channel Hypergraph Convolutional Network for Social Recommendation. In: Proceedings of the ACM on Web Conference 2021. pp. 413\u2013424.","DOI":"10.1145\/3442381.3449844"},{"key":"10.1016\/j.engappai.2026.114979_b38","doi-asserted-by":"crossref","DOI":"10.1016\/j.neucom.2025.131458","article-title":"Adaptive granular-ball based density peak clustering","volume":"656","author":"Zhang","year":"2025","journal-title":"Neurocomputing"}],"container-title":["Engineering Applications of Artificial Intelligence"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0952197626012613?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0952197626012613?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T11:58:49Z","timestamp":1780401529000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0952197626012613"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,8]]},"references-count":38,"alternative-id":["S0952197626012613"],"URL":"https:\/\/doi.org\/10.1016\/j.engappai.2026.114979","relation":{},"ISSN":["0952-1976"],"issn-type":[{"value":"0952-1976","type":"print"}],"subject":[],"published":{"date-parts":[[2026,8]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Granular-ball based robust representation learning for social recommendation","name":"articletitle","label":"Article Title"},{"value":"Engineering Applications of Artificial Intelligence","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.engappai.2026.114979","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"114979"}}