{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T11:20:33Z","timestamp":1777461633785,"version":"3.51.4"},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2017,12,21]],"date-time":"2017-12-21T00:00:00Z","timestamp":1513814400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"the national scientific foundation of P.R. China"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int. J. Mach. Learn. &amp; Cyber."],"published-print":{"date-parts":[[2019,5]]},"DOI":"10.1007\/s13042-017-0770-9","type":"journal-article","created":{"date-parts":[[2017,12,21]],"date-time":"2017-12-21T02:57:10Z","timestamp":1513825030000},"page":"913-924","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Feature selection based on generalized variable-precision \n                \n                  \n                \n                $$(\\vartheta ,\\sigma )$$\n                \n                  \n                    \n                      (\n                      \u03d1\n                      ,\n                      \u03c3\n                      )\n                    \n                  \n                \n              -fuzzy granular rough set model over two universes"],"prefix":"10.1007","volume":"10","author":[{"given":"Hong-Ying","family":"Zhang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hai-Juan","family":"Song","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shu-Yun","family":"Yang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,12,21]]},"reference":[{"key":"770_CR1","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1109\/TFUZZ.2015.2426204","volume":"24","author":"M Aggarwal","year":"2016","unstructured":"Aggarwal M (2016) Probabilistic variable-precision fuzzy rough sets. IEEE Trans Fuzzy Syst 24:29\u201339","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"770_CR2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-0633-1","volume-title":"Fuzzy relational systems: foundations and principles","author":"R Belohlavek","year":"2002","unstructured":"Belohlavek R (2002) Fuzzy relational systems: foundations and principles. Kluwer Academic Publishers, Norwell"},{"key":"770_CR3","doi-asserted-by":"publisher","first-page":"1161","DOI":"10.1007\/s00500-010-0583-1","volume":"15","author":"DG Chen","year":"2011","unstructured":"Chen DG, Yang YP, Wang H (2011) Granular computing based on fuzzy similarity relations. Soft Comput 15:1161\u20131172","journal-title":"Soft Comput"},{"key":"770_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.fss.2014.11.018","volume":"275","author":"L Deera","year":"2015","unstructured":"Deera L, Verbiesta N, Cornelis C, Godo L (2015) A comprehensive study of implicator-conjunctor-based and noise-tolerant fuzzy rough sets: definitions, properties and robustness analysis. Fuzzy Sets Syst 275:1\u201338","journal-title":"Fuzzy Sets Syst"},{"key":"770_CR5","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1080\/03081079008935107","volume":"17","author":"D Dubois","year":"1990","unstructured":"Dubois D, Prade H (1990) Rough fuzzy sets and fuzzy rough sets. Int J Gen Syst 17:191\u2013208","journal-title":"Int J Gen Syst"},{"key":"770_CR6","first-page":"554","volume":"16","author":"BQ Hu","year":"2014","unstructured":"Hu BQ, Wong H (2014) Generalized interval-valued fuzzy variable-precision rough sets. Int J Fuzzy Syst 16:554\u2013565","journal-title":"Int J Fuzzy Syst"},{"issue":"12C13","key":"770_CR7","doi-asserted-by":"publisher","first-page":"7128","DOI":"10.1016\/j.apm.2012.12.009","volume":"37","author":"B Huang","year":"2013","unstructured":"Huang B et al (2013) A dominance intuitionistic fuzzy-rough set approach and its applications. Appl Math Model 37(12C13):7128\u20137141","journal-title":"Appl Math Model"},{"key":"770_CR8","doi-asserted-by":"publisher","first-page":"220","DOI":"10.1111\/exsy.12083","volume":"32","author":"Y Liu","year":"2015","unstructured":"Liu Y, Lin Y, Zhao HH (2015) Variable-precision intuitionistic fuzzy rough set model and applications based on conflict distance. Expert Syst 32:220\u2013227","journal-title":"Expert Syst"},{"key":"770_CR9","doi-asserted-by":"publisher","first-page":"3203","DOI":"10.1016\/j.ins.2008.03.013","volume":"178","author":"JS Mi","year":"2008","unstructured":"Mi JS, Leung Y, Zhao HY, Feng T (2008) Generalized fuzzy rough sets determined by a triangular norm. Inf Sci 178:3203\u20133213","journal-title":"Inf Sci"},{"key":"770_CR10","doi-asserted-by":"crossref","unstructured":"Mieszkowicz-Rolka A, Rolka L (2004) Variable-precision fuzzy rough sets. In: Peters JF et al (eds) Transactions on rough sets I. Springer, p 144C160","DOI":"10.1007\/978-3-540-27794-1_6"},{"key":"770_CR11","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1007\/BF01001956","volume":"11","author":"Z Pawlak","year":"1982","unstructured":"Pawlak Z (1982) Rough sets. Int J Comput Inf Sci 11:341\u2013356","journal-title":"Int J Comput Inf Sci"},{"key":"770_CR12","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-3534-4","volume-title":"Rough sets: theoretical aspects of reasoning about data","author":"Z Pawlak","year":"1991","unstructured":"Pawlak Z (1991) Rough sets: theoretical aspects of reasoning about data. Kluwer Academic Publishers, Boston"},{"key":"770_CR13","doi-asserted-by":"publisher","first-page":"28","DOI":"10.1016\/j.ins.2006.06.006","volume":"177","author":"Z Pawlak","year":"2007","unstructured":"Pawlak Z, Skowron A (2007) Rough sets: some extensions. Inf Sci 177:28\u201340","journal-title":"Inf Sci"},{"key":"770_CR14","first-page":"17","volume":"334","author":"WZ Wu","year":"2016","unstructured":"\u00a0Wu WZ,\u00a0 Xu YH, Shao MW, Wang GY (2016) Axiomatic characterizations of (S, T)-fuzzy rough approximation operators. Inf Sci 334-335:17\u201343","journal-title":"Inf Sci"},{"key":"770_CR15","doi-asserted-by":"publisher","first-page":"76","DOI":"10.1016\/j.fss.2005.02.011","volume":"15","author":"WZ Wu","year":"2005","unstructured":"Wu WZ, Leung Y, Mi JS (2005) On characterizations of (I, T)-fuzzy rough approximation operators. Fuzzy Sets Syst 15:76\u2013102","journal-title":"Fuzzy Sets Syst"},{"key":"770_CR16","doi-asserted-by":"publisher","first-page":"1388","DOI":"10.1016\/j.ijar.2013.05.004","volume":"54","author":"WZ Wu","year":"2013","unstructured":"Wu WZ, Leung Y, Shao MW (2013) Generalized fuzzy rough approximation operators determined by fuzzy implicators. Int J Approx Reason 54:1388\u20131409","journal-title":"Int J Approx Reason"},{"issue":"1\u20134","key":"770_CR17","doi-asserted-by":"publisher","first-page":"87","DOI":"10.3233\/FI-2015-1285","volume":"142","author":"WZ Wu","year":"2015","unstructured":"Wu WZ, Li TJ, Gu SM (2015) Using one axiom to characterize fuzzy rough approximation operators determined by a fuzzy implication operator. Fundamenta Informaticae 142(1\u20134):87\u2013104","journal-title":"Fundamenta Informaticae"},{"key":"770_CR18","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1016\/j.fss.2015.01.016","volume":"275","author":"CY Wang","year":"2015","unstructured":"Wang CY, Hu BQ (2015) Granular variable-precision fuzzy rough sets with general fuzzy relations. Fuzzy Sets Syst 275:39\u201357","journal-title":"Fuzzy Sets Syst"},{"key":"770_CR19","doi-asserted-by":"publisher","unstructured":"Wang CZ, Shao MW, He Q, Qian YH, Qi YL (2016) Feature subset selection based on fuzzy neighborhood rough sets. Knowl Based Syst. \n                    https:\/\/doi.org\/10.1016\/j.knosys.2016.08.009","DOI":"10.1016\/j.knosys.2016.08.009"},{"key":"770_CR20","doi-asserted-by":"publisher","first-page":"343","DOI":"10.1109\/TFUZZ.2004.841734","volume":"13","author":"DS Yeung","year":"2005","unstructured":"Yeung DS, Chen DG, Tsang ECC, Lee JWT, Wang XZ (2005) On the generalization of fuzzy rough sets. IEEE Trans Fuzzy Syst 13:343\u2013361","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"770_CR21","doi-asserted-by":"publisher","first-page":"58","DOI":"10.1016\/j.fss.2013.06.012","volume":"236","author":"YQ Yao","year":"2014","unstructured":"Yao YQ, Mi JS, Li ZJ (2014) A novel variable-precision \n                    \n                      \n                    \n                    $$(\\theta, \\sigma )-$$\n                    \n                      \n                        \n                          (\n                          \u03b8\n                          ,\n                          \u03c3\n                          )\n                          -\n                        \n                      \n                    \n                   fuzzy rough set model based on fuzzy granules. Fuzzy Sets Syst 236:58\u201372","journal-title":"Fuzzy Sets Syst"},{"key":"770_CR22","doi-asserted-by":"publisher","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh LA (1965) Fuzzy sets. Inf Control 8:338\u2013353","journal-title":"Inf Control"},{"key":"770_CR23","doi-asserted-by":"publisher","first-page":"693","DOI":"10.1016\/j.apm.2016.10.048","volume":"42","author":"C Zhang","year":"2017","unstructured":"Zhang C et al (2017) An interval-valued hesitant fuzzy multigranulation rough set over two universes model for steam turbine fault diagnosis. Appl Math Model 42:693\u2013704","journal-title":"Appl Math Model"},{"key":"770_CR24","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1016\/0022-0000(93)90048-2","volume":"46","author":"W Ziarko","year":"1993","unstructured":"Ziarko W (1993) Variable-precision rough set model. J Comput Syst Sci 46:39\u201359","journal-title":"J Comput Syst Sci"},{"key":"770_CR25","doi-asserted-by":"crossref","unstructured":"Zhao SY, Tsang ECC, Chen DG (2007) The model of fuzzy variable-precision rough sets. In: Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, pp 19\u201322","DOI":"10.1109\/ICMLC.2007.4370673"},{"key":"770_CR26","doi-asserted-by":"publisher","first-page":"75","DOI":"10.1016\/j.ins.2013.04.031","volume":"244","author":"HY Zhang","year":"2013","unstructured":"Zhang HY, Leung Y, Zhou L (2013) Variable-precision-dominance-based rough set approach to interval-valued information systems. Inf Sci 244:75\u201391","journal-title":"Inf Sci"}],"container-title":["International Journal of Machine Learning and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-017-0770-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13042-017-0770-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-017-0770-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,24]],"date-time":"2019-04-24T09:41:52Z","timestamp":1556098912000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13042-017-0770-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,12,21]]},"references-count":26,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2019,5]]}},"alternative-id":["770"],"URL":"https:\/\/doi.org\/10.1007\/s13042-017-0770-9","relation":{},"ISSN":["1868-8071","1868-808X"],"issn-type":[{"value":"1868-8071","type":"print"},{"value":"1868-808X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,12,21]]},"assertion":[{"value":"5 July 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 December 2017","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 December 2017","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}