{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T09:24:39Z","timestamp":1762507479399,"version":"build-2065373602"},"reference-count":33,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2018,8,10]],"date-time":"2018-08-10T00:00:00Z","timestamp":1533859200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61502111; 61763003; 61672176"],"award-info":[{"award-number":["61502111; 61763003; 61672176"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Nowadays, more and more applications are dependent on storage and management of semi-structured information. For scientific research and knowledge-based decision-making, such data often needs to be published, e.g., medical data is released to implement a computer-assisted clinical decision support system. Since this data contains individuals\u2019 privacy, they must be appropriately anonymized before to be released. However, the existing anonymization method based on l-diversity for hierarchical data may cause serious similarity attacks, and cannot protect data privacy very well. In this paper, we utilize fuzzy sets to divide levels for sensitive numerical and categorical attribute values uniformly (a categorical attribute value can be converted into a numerical attribute value according to its frequency of occurrences), and then transform the value levels to sensitivity levels. The privacy model (     \u03b1  l e v  h     , k)-anonymity for hierarchical data with multi-level sensitivity is proposed. Furthermore, we design a privacy-preserving approach to achieve this privacy model. Experiment results demonstrate that our approach is obviously superior to existing anonymous approach in hierarchical data in terms of utility and security.<\/jats:p>","DOI":"10.3390\/sym10080333","type":"journal-article","created":{"date-parts":[[2018,8,10]],"date-time":"2018-08-10T10:52:01Z","timestamp":1533898321000},"page":"333","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["A Multi-Level Privacy-Preserving Approach to Hierarchical Data Based on Fuzzy Set Theory"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2462-1499","authenticated-orcid":false,"given":"Jinyan","family":"Wang","sequence":"first","affiliation":[{"name":"Guangxi Key Lab of Multi-Source Information Mining & Security, Guangxi Normal University, Guilin 541004, China"},{"name":"School of Computer Science and Information Technology, Guangxi Normal University, Guilin 541004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guoqing","family":"Cai","sequence":"additional","affiliation":[{"name":"School of Computer Science and Information Technology, Guangxi Normal University, Guilin 541004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chen","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Computer Science and Information Technology, Guangxi Normal University, Guilin 541004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jingli","family":"Wu","sequence":"additional","affiliation":[{"name":"Guangxi Key Lab of Multi-Source Information Mining & Security, Guangxi Normal University, Guilin 541004, China"},{"name":"School of Computer Science and Information Technology, Guangxi Normal University, Guilin 541004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xianxian","family":"Li","sequence":"additional","affiliation":[{"name":"Guangxi Key Lab of Multi-Source Information Mining & Security, Guangxi Normal University, Guilin 541004, China"},{"name":"School of Computer Science and Information Technology, Guangxi Normal University, Guilin 541004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,8,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1142\/S0219622016300019","article-title":"Development of TOPSIS method to solve complicated decision-making problems\u2014An overview on developments from 2000 to 2015","volume":"15","author":"Zavadskas","year":"2016","journal-title":"Int. J. Inf. Technol. Decis. Mak."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"165","DOI":"10.3846\/20294913.2014.892037","article-title":"State of art surveys of overviews on MCDM\/MADM methods","volume":"20","author":"Zavadskas","year":"2014","journal-title":"Technol. Econ. Dev. Econ."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Li, Z., Sun, D., and Zeng, H. (2018). Intuitionistic Fuzzy Multiple Attribute Decision-Making Model Based on Weighted Induced Distance Measure and Its Application to Investment Selection. Symmetry, 10.","DOI":"10.3390\/sym10070261"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Li, D., He, J., Cheng, P., Wang, J., and Zhang, H. (2018). A Novel Selection Model of Surgical Treatments for Early Gastric Cancer Patients Based on Heterogeneous Multicriteria Group Decision-Making. Symmetry, 10.","DOI":"10.3390\/sym10060223"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1007\/s10462-016-9534-2","article-title":"A survey of decision making methods based on two classes of hybrid soft set models","volume":"49","author":"Ma","year":"2018","journal-title":"Artif. Intell. Rev."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Zhan, J., and Xu, W. (2018). Two types of coverings based multigranulation rough fuzzy sets and applications to decision making. Artif. Intell. Rev.","DOI":"10.1007\/s10462-018-9649-8"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1016\/j.asoc.2016.09.012","article-title":"A novel soft rough set: Soft rough hemirings and its multicriteria group decision making","volume":"54","author":"Zhan","year":"2017","journal-title":"Appl. Soft Comput."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Hu, C.K., Liu, F.B., and Hu, C.F. (2017). A Hybrid Fuzzy DEA\/AHP Methodology for Ranking Units in a Fuzzy Environment. Symmetry, 9.","DOI":"10.3390\/sym9110273"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1567","DOI":"10.3390\/sym7031567","article-title":"Design of IP Camera Access Control Protocol by Utilizing Hierarchical Group Key","volume":"7","author":"Kang","year":"2015","journal-title":"Symmetry"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1164","DOI":"10.3390\/sym7031164","article-title":"Hierarchical Clustering Using One-Class Support Vector Machines","volume":"7","author":"Lee","year":"2015","journal-title":"Symmetry"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Samarati, P., and Sweeney, L. (1998, January 1\u20133). Generalizing data to provide anonymity when disclosing information. Proceedings of the ACM Symposium on Principles of Database Systems, Seattle, WA, USA.","DOI":"10.1145\/275487.275508"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1145\/1749603.1749605","article-title":"Privacy-preserving data publishing: A survey of recent development","volume":"42","author":"Fung","year":"2010","journal-title":"ACM Comput. Surv."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1145\/1217299.1217302","article-title":"l-diversity: Privacy beyond k-anonymity","volume":"1","author":"Machanavajjhala","year":"2007","journal-title":"ACM Trans. Knowl. Discov Data"},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Wong, C.R., Li, J., Fu, A., and Wang, K. (2006, January 20\u201323). (\u03b1, k)-anonymity: An enhanced k-anonymity model for privacy preserving data publishing. Proceedings of the 12th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, Philadelphia, PA, USA.","DOI":"10.1145\/1150402.1150499"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Li, N., Li, T., and Venkatasubramanian, S. (2007, January 15\u201320). t-closeness: Privacy beyond k-anonymity and l-diversity. Proceedings of the IEEE 23rd International Conference on Data Engineering, Istanbul, Turkey.","DOI":"10.1109\/ICDE.2007.367856"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1145\/2976738","article-title":"Privacy-preserving publishing of hierarchical data","volume":"19","author":"Ozalp","year":"2016","journal-title":"ACM Trans. Priv. Secur."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Lefevre, K., Dewitt, D.J., and Ramakrishnan, R. (2005, January 14\u201316). Incognito: Efficient full-domain k-anonymity. Proceedings of the 2005 ACM SIGMOD International Conference on Management of Data, Baltimore, MD, USA.","DOI":"10.1145\/1066157.1066164"},{"key":"ref_18","unstructured":"Fung, B.C.M., Wang, K., and Yu, P.S. (2005, January 5\u20138). Top-down specialization for information and privacy preservation. Proceedings of the 21st International Conference on Data Engineering, Tokoyo, Japan."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1145\/1798596.1798602","article-title":"Achieving anonymity via clustering","volume":"6","author":"Aggarwal","year":"2010","journal-title":"ACM Trans. Algorithms"},{"key":"ref_20","first-page":"9","article-title":"A framework for efficient data anonymization under privacy and accuracy constraints","volume":"32","author":"Ghinita","year":"2009","journal-title":"ACM Trans. Database Syst."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Wang, J., Du, K., Luo, X., and Li, X. (2018). Two privacy-preserving approaches for data publishing with identity reservation. Knowl. Inf. Syst.","DOI":"10.1007\/s10115-018-1237-3"},{"key":"ref_22","first-page":"147","article-title":"A multi-level l-diversity model for numerical sensitive attributes","volume":"48","author":"Han","year":"2011","journal-title":"J. Comput. Res. Dev."},{"key":"ref_23","first-page":"12","article-title":"(\u03b1i, k)-anonymity Privacy Preservation Based on Sensitivity Grading","volume":"37","author":"Jin","year":"2011","journal-title":"Comput. Eng."},{"key":"ref_24","first-page":"518","article-title":"Fuzzy based methods for privacy preserving","volume":"30","author":"Wang","year":"2013","journal-title":"Appl. Res. Comput."},{"key":"ref_25","first-page":"115","article-title":"Fuzzy based approach for privacy preserving publication of data","volume":"8","author":"Kumari","year":"2008","journal-title":"Int. J. Comput. Sci. Netw. Secur."},{"key":"ref_26","unstructured":"Yang, X., and Li, C. (September, January 31). Secure XML publishing without information leakage in the presence of data inference. Proceedings of the Thirtieth International Conference on Very Large Data Bases, Toronto, ON, Canada."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/j.jbi.2014.01.013","article-title":"\u03b4-dependency for privacy-preserving XML data publishing","volume":"50","author":"Landberg","year":"2014","journal-title":"J. Biomed. Inform."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1104","DOI":"10.1109\/TKDE.2008.210","article-title":"Multirelational k-anonymity","volume":"21","author":"Nergiz","year":"2009","journal-title":"IEEE Trans. Knowl. Data Eng."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"2034","DOI":"10.1109\/TKDE.2015.2405563","article-title":"Anonymizing collections of tree-structured data","volume":"27","author":"Gkountouna","year":"2015","journal-title":"IEEE Trans. Knowl. Data Eng."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","article-title":"Fuzzy sets","volume":"8","author":"Zadeh","year":"1965","journal-title":"Inf. Control"},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Jorba, L., and Adillon, R. (2018). Interval Fuzzy Segments. Symmetry, 10.","DOI":"10.3390\/sym10080309"},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Bi, L., Dai, S., and Hu, B. (2018). Complex Fuzzy Geometric Aggregation Operators. Symmetry, 10.","DOI":"10.3390\/sym10070251"},{"key":"ref_33","unstructured":"Klir, G.J., Clair, U.S., and Yuan, B. (1997). Fuzzy Set Theory: Foundations and Applications, Prentice-Hall, Inc."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/10\/8\/333\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T15:17:57Z","timestamp":1760195877000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/10\/8\/333"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,8,10]]},"references-count":33,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2018,8]]}},"alternative-id":["sym10080333"],"URL":"https:\/\/doi.org\/10.3390\/sym10080333","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2018,8,10]]}}}