{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:42:13Z","timestamp":1777704133894,"version":"3.51.4"},"reference-count":30,"publisher":"SAGE Publications","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2021,3,2]]},"abstract":"<jats:p>Fuzzy covering rough set model is a popular and important theoretical tool for computation of uncertainty, and provides an effective approach for attribute reduction. However, attribute reductions derived directly from fuzzy lower or upper approximations actually still occupy large of redundant information, which leads to a lower ratio of attribute-reduced. This paper introduces a kind of parametric observation sets on the approximations, and further proposes so called parametric observational-consistency, which is applied to attribute reduction in fuzzy multi-covering decision systems. Then the related discernibility matrix is developed to provide a way of attribute reduction. In addition, for multiple observational parameters, this article also introduces a recursive method to gradually construct the multiple discernibility matrix by composing the refined discernibility matrix and incremental discernibility matrix based on previous ones. In such case, an attribute reduction algorithm is proposed. Finally, experiments are used to demonstrate the feasibility and effectiveness of our proposed method.<\/jats:p>","DOI":"10.3233\/jifs-201998","type":"journal-article","created":{"date-parts":[[2021,1,12]],"date-time":"2021-01-12T18:50:11Z","timestamp":1610477411000},"page":"5239-5253","source":"Crossref","is-referenced-by-count":4,"title":["Attribute reduction in fuzzy multi-covering decision systems via observational- consistency and fuzzy discernibility"],"prefix":"10.1177","volume":"40","author":[{"given":"Rongde","family":"Lin","sequence":"first","affiliation":[{"name":"Fujian province University Key Laboratory of Computation Science, School of Mathematical Science, Huaqiao University, Quanzhou, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jinjin","family":"Li","sequence":"additional","affiliation":[{"name":"Fujian province University Key Laboratory of Computation Science, School of Mathematical Science, Huaqiao University, Quanzhou, China"},{"name":"School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dongxiao","family":"Chen","sequence":"additional","affiliation":[{"name":"Fujian province University Key Laboratory of Computation Science, School of Mathematical Science, Huaqiao University, Quanzhou, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianxin","family":"Huang","sequence":"additional","affiliation":[{"name":"Fujian province University Key Laboratory of Computation Science, School of Mathematical Science, Huaqiao University, Quanzhou, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yingsheng","family":"Chen","sequence":"additional","affiliation":[{"name":"Fujian province University Key Laboratory of Computation Science, School of Mathematical Science, Huaqiao University, Quanzhou, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","reference":[{"issue":"3","key":"10.3233\/JIFS-201998_ref1","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1007\/BF01001956","article-title":"Rough sets","volume":"11","author":"Pawlak","year":"1982","journal-title":"International Journal of Computer & Information Sciences"},{"key":"10.3233\/JIFS-201998_ref2","doi-asserted-by":"crossref","unstructured":"Lin T. , Granulation and nearest neighborhoods: Rough Set Approach, in: Granular Computing: An Emerging Paradigm, Physica-Verlag, Heidelberg, Germany, 2001, pp. 125\u2013142.","DOI":"10.1007\/978-3-7908-1823-9_6"},{"issue":"18","key":"10.3233\/JIFS-201998_ref3","doi-asserted-by":"crossref","first-page":"3577","DOI":"10.1016\/j.ins.2008.05.024","article-title":"Neighborhood rough set based heterogeneous feature subset selection","volume":"178","author":"Hu","year":"2008","journal-title":"Information Sciences"},{"issue":"3","key":"10.3233\/JIFS-201998_ref4","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1016\/j.ins.2008.09.015","article-title":"Relationship between generalized rough sets based on binary relation and covering","volume":"179","author":"Zhu","year":"2009","journal-title":"Information Sciences"},{"issue":"3-4SI","key":"10.3233\/JIFS-201998_ref5","doi-asserted-by":"crossref","first-page":"223","DOI":"10.3233\/FI-2011-421","article-title":"Rough Sets, Coverings and Incomplete Information","volume":"108","author":"Couso","year":"2011","journal-title":"Fundamenta Informaticae"},{"issue":"2-3","key":"10.3233\/JIFS-201998_ref6","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1080\/03081079008935107","article-title":"Rough Fuzzy Sets and Fuzzy rough Sets","volume":"17","author":"Dubois","year":"1990","journal-title":"International Journal of General System"},{"issue":"3","key":"10.3233\/JIFS-201998_ref7","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/S0020-0255(02)00379-1","article-title":"Generalized fuzzy rough sets","volume":"151","author":"Wu","year":"2003","journal-title":"Information Sciences"},{"key":"10.3233\/JIFS-201998_ref8","doi-asserted-by":"crossref","unstructured":"De Cock M. , Cornelis C. and Kerre E. , Fuzzy rough sets: Beyond the obvious, in: 2004 IEEE International Conference on Fuzzy Systems, Institute of Electrical and Electronics Engineers Inc, Budapest, Hungary, 2004, pp. 103\u2013108.","DOI":"10.1109\/FUZZY.2004.1375697"},{"issue":"11","key":"10.3233\/JIFS-201998_ref9","doi-asserted-by":"crossref","first-page":"2308","DOI":"10.1016\/j.ins.2006.11.013","article-title":"A novel approach to fuzzy rough sets based on a fuzzy covering","volume":"177","author":"Deng","year":"2007","journal-title":"Information Sciences"},{"issue":"3","key":"10.3233\/JIFS-201998_ref10","doi-asserted-by":"crossref","first-page":"836","DOI":"10.1016\/j.ijar.2008.01.006","article-title":"Generalized fuzzy rough approximation operators based on fuzzy coverings","volume":"48","author":"Li","year":"2008","journal-title":"International Journal of Approximate Reasoning"},{"issue":"1","key":"10.3233\/JIFS-201998_ref11","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/j.ijar.2011.10.002","article-title":"The reduction and fusion of fuzzy covering systems based on the evidence theory","volume":"53","author":"Feng","year":"2012","journal-title":"International Journal of Approximate Reasoning"},{"issue":"4","key":"10.3233\/JIFS-201998_ref12","doi-asserted-by":"crossref","first-page":"824","DOI":"10.1109\/TFUZZ.2008.924209","article-title":"New Approaches to Fuzzy-Rough Feature Selection","volume":"17","author":"Jensen","year":"2009","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"1","key":"10.3233\/JIFS-201998_ref13","first-page":"14","article-title":"Fast Reduction Algorithm Research Based on k-Nearest Neighbor Fuzzy Rough Set","volume":"09","author":"Zhang","year":"2015","journal-title":"Journal of Frontiers of Computer Science and Technology"},{"key":"10.3233\/JIFS-201998_ref14","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/j.knosys.2016.08.009","article-title":"Feature subset selection based on fuzzy neighborhood rough sets","volume":"111","author":"Wang","year":"2016","journal-title":"Knowledge-Based Systems"},{"key":"10.3233\/JIFS-201998_ref15","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/j.knosys.2018.10.038","article-title":"Fuzzy rough set-based attribute reduction using distance measures","volume":"164","author":"Wang","year":"2019","journal-title":"Knowledge-Based Systems"},{"issue":"12","key":"10.3233\/JIFS-201998_ref16","doi-asserted-by":"crossref","first-page":"3509","DOI":"10.1016\/j.patcog.2007.03.017","article-title":"Hybrid attribute reduction based on a novel fuzzy-rough model and information granulation","volume":"40","author":"Hu","year":"2007","journal-title":"Pattern Recognition"},{"issue":"5","key":"10.3233\/JIFS-201998_ref17","doi-asserted-by":"crossref","first-page":"1130","DOI":"10.1109\/TFUZZ.2006.889960","article-title":"Attributes Reduction Using Fuzzy Rough Sets","volume":"16","author":"Tsang","year":"2008","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"10.3233\/JIFS-201998_ref18","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1016\/j.fss.2013.06.012","article-title":"A novel variable precision (\u03b8, \u03c3)-fuzzy rough set model based on fuzzy granules","volume":"236","author":"Yao","year":"2014","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/JIFS-201998_ref19","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1109\/TFUZZ.2018.2862870","article-title":"Intuitionistic fuzzy rough set-based granular structures and attribute subset selection","volume":"27","author":"Tan","year":"2019","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"10.3233\/JIFS-201998_ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.engappai.2019.103421"},{"key":"10.3233\/JIFS-201998_ref21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.fss.2015.05.002","article-title":"Two fuzzy covering rough set models and their generalizations over fuzzy lattices","volume":"294","author":"Ma","year":"2016","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/JIFS-201998_ref22","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1016\/j.fss.2016.10.009","article-title":"On some types of fuzzy covering-based rough sets","volume":"312","author":"Yang","year":"2017","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/JIFS-201998_ref23","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.fss.2018.05.017","article-title":"Fuzzy neighborhood operators and derived fuzzy coverings","volume":"370","author":"Yang","year":"2019","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/JIFS-201998_ref24","doi-asserted-by":"crossref","first-page":"605","DOI":"10.1016\/j.cie.2019.01.004","article-title":"Fuzzy \u03b2-covering based (I,T)-fuzzy rough set models and applications to multi-attribute decision-making","volume":"128","author":"Zhang","year":"2019","journal-title":"Computers & Industrial Engineering"},{"key":"10.3233\/JIFS-201998_ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2020.07.010"},{"issue":"3","key":"10.3233\/JIFS-201998_ref26","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":"Information & Control"},{"issue":"2","key":"10.3233\/JIFS-201998_ref28","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1109\/TFUZZ.2011.2173695","article-title":"A novel algorithm for finding reducts with fuzzy rough sets","volume":"20","author":"Chen","year":"2012","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"10.3233\/JIFS-201998_ref29","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1016\/j.fss.2014.04.029","article-title":"Fuzzy-rough feature selection accelerator","volume":"258","author":"Qianet","year":"2015","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/JIFS-201998_ref30","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.patcog.2016.02.013","article-title":"Feature selection in mixed data: A method using a novel fuzzy rough set-based information entropy","volume":"56","author":"Zhang","year":"2016","journal-title":"Pattern Recognition"},{"key":"10.3233\/JIFS-201998_ref31","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1016\/j.ins.2012.02.054","article-title":"Generalized intuitionistic fuzzy rough sets based on intuitionistic fuzzy coverings","volume":"198","author":"Zhang","year":"2012","journal-title":"Information Sciences"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JIFS-201998","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:40:32Z","timestamp":1777455632000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JIFS-201998"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,3,2]]},"references-count":30,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.3233\/jifs-201998","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,3,2]]}}}