{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T18:39:26Z","timestamp":1761676766638,"version":"3.40.3"},"publisher-location":"Cham","reference-count":26,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030228149"},{"type":"electronic","value":"9783030228156"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019]]},"DOI":"10.1007\/978-3-030-22815-6_27","type":"book-chapter","created":{"date-parts":[[2019,6,9]],"date-time":"2019-06-09T23:02:31Z","timestamp":1560121351000},"page":"341-355","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Constructing the Optimal Approximation Sets of Rough Sets in Multi-granularity Spaces"],"prefix":"10.1007","author":[{"given":"Qinghua","family":"Zhang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fan","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xu","family":"Yubin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jie","family":"Yang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,6,9]]},"reference":[{"issue":"3","key":"27_CR1","first-page":"461","volume":"46","author":"LH Guan","year":"2011","unstructured":"Guan, L.H., Wang, G.Y., Yu, H.: Incremental algorithm of Pawlak reduction based on attribute order. J. Southwest Jiaotong Univ. 46(3), 461\u2013468 (2011)","journal-title":"J. Southwest Jiaotong Univ."},{"issue":"3\u20134","key":"27_CR2","doi-asserted-by":"publisher","first-page":"267","DOI":"10.3233\/FI-2011-423","volume":"108","author":"JP Herbert","year":"2011","unstructured":"Herbert, J.P., Yao, J.T.: Game-theoretic rough sets. Fundamenta Informaticae 108(3\u20134), 267\u2013286 (2011)","journal-title":"Fundamenta Informaticae"},{"issue":"3","key":"27_CR3","first-page":"349","volume":"23","author":"F Hu","year":"2010","unstructured":"Hu, F., Wang, G.Y.: Quick algorithm for certain rule acquisition based on divide and conquer method. Pattern Recognit. Artif. Intell. 23(3), 349\u2013356 (2010)","journal-title":"Pattern Recognit. Artif. Intell."},{"key":"27_CR4","unstructured":"Li, T.Y., et al.: Rough sets and knowledge technology. Fundamenta Informaticae 7414(2\u20133), I\u2013II (2008)"},{"issue":"2","key":"27_CR5","first-page":"156","volume":"30","author":"JY Liang","year":"2007","unstructured":"Liang, J.Y., Qian, Y.H.: Granulation monotonicity of entropy measure in information systems. J. Shanxi Univ. 30(2), 156\u2013162 (2007)","journal-title":"J. Shanxi Univ."},{"issue":"1","key":"27_CR6","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1142\/S0218488504002631","volume":"12","author":"JY Liang","year":"2011","unstructured":"Liang, J.Y., Shi, Z.Z.: The information entropy, rough entropy and knowledge granulation in rough set theory. Int. J. Uncertainty Fuzziness Knowl. Based Syst. 12(1), 37\u201346 (2011)","journal-title":"Int. J. Uncertainty Fuzziness Knowl. Based Syst."},{"key":"27_CR7","unstructured":"Liu, X.C.: Entropy, distance measure and similarity measure of fuzzy sets and their relations. Elsevier North-Holland Inc. (1992)"},{"issue":"3\u20134","key":"27_CR8","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1016\/j.ins.2003.07.004","volume":"159","author":"JS Mi","year":"2004","unstructured":"Mi, J.S., Wu, W.Z., Zhang, W.X.: Approaches to knowledge reduction based on variable precision rough set model. Inf. Sci. 159(3\u20134), 255\u2013272 (2004)","journal-title":"Inf. Sci."},{"issue":"5","key":"27_CR9","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1007\/BF01001956","volume":"11","author":"Z Pawlak","year":"1982","unstructured":"Pawlak, Z.: Rough sets. Int. J. Comput. Inf. Sci. 11(5), 341\u2013365 (1982)","journal-title":"Int. J. Comput. Inf. Sci."},{"issue":"1","key":"27_CR10","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.: Rough sets: some extensions. Inf. Sci. 177(1), 28\u201340 (2007)","journal-title":"Inf. Sci."},{"issue":"1","key":"27_CR11","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1016\/S0020-7373(88)80032-4","volume":"29","author":"Z Pawlak","year":"1988","unstructured":"Pawlak, Z., Wong, S.K.M., Ziarko, W.: Rough sets: probabilistic versus deterministic approach*. Int. J. Man-Mach. Stud. 29(1), 81\u201395 (1988)","journal-title":"Int. J. Man-Mach. Stud."},{"issue":"1","key":"27_CR12","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1016\/j.ijar.2013.03.004","volume":"55","author":"YH Qian","year":"2014","unstructured":"Qian, Y.H., Zhang, H., Sang, Y.L., Liang, J.Y.: Multigranulation decision-theoretic rough sets. Int. J. Approximate Reasoning 55(1), 225\u2013237 (2014)","journal-title":"Int. J. Approximate Reasoning"},{"key":"27_CR13","doi-asserted-by":"crossref","unstructured":"Tiwari, S.P., Srivastava, A.K.: Fuzzy rough sets, fuzzy preorders and fuzzy topologies. Elsevier North-Holland Inc. (2013)","DOI":"10.1016\/j.fss.2012.06.001"},{"key":"27_CR14","unstructured":"Wang, G.Y.: Rough set theory and knowledge discovery. China Xi\u2019an Jiaotong University Press (2007)"},{"issue":"9","key":"27_CR15","doi-asserted-by":"publisher","first-page":"1588","DOI":"10.3724\/SP.J.1016.2008.01588","volume":"31","author":"GY Wang","year":"2008","unstructured":"Wang, G.Y., Zhang, Q.H.: Uncertainty of rough sets in different knowledge granularities: uncertainty of rough sets in different knowledge granularities. Chin. J. Comput. 31(9), 1588\u20131598 (2008)","journal-title":"Chin. J. Comput."},{"issue":"6","key":"27_CR16","doi-asserted-by":"publisher","first-page":"1977","DOI":"10.1109\/TSMCC.2012.2236648","volume":"43","author":"JT Yao","year":"2013","unstructured":"Yao, J.T., Vasilakos, A.V., Pedrycz, W.: Granular computing: perspectives and challenges. IEEE Trans. Cybern. 43(6), 1977\u20131989 (2013)","journal-title":"IEEE Trans. Cybern."},{"issue":"3","key":"27_CR17","doi-asserted-by":"publisher","first-page":"249","DOI":"10.3233\/FI-2011-422","volume":"108","author":"YY Yao","year":"2011","unstructured":"Yao, Y.Y.: Two semantic issues in a probabilistic rough set model. Fundamenta Informaticae 108(3), 249\u2013265 (2011)","journal-title":"Fundamenta Informaticae"},{"key":"27_CR18","doi-asserted-by":"publisher","first-page":"442","DOI":"10.1016\/j.ins.2016.01.091","volume":"346","author":"YY Yao","year":"2016","unstructured":"Yao, Y.Y.: Rough-set concept analysis: interpreting RS-definable concepts based on ideas from formal concept analysis. Inf. Sci. 346, 442\u2013462 (2016)","journal-title":"Inf. Sci."},{"issue":"2","key":"27_CR19","doi-asserted-by":"publisher","first-page":"289","DOI":"10.3233\/FI-1996-272314","volume":"27","author":"YY Yao","year":"1996","unstructured":"Yao, Y.Y., Li, X.N.: Comparison of rough-set and interval-set models for uncertain reasoning. Fundamenta Informaticae 27(2), 289\u2013298 (1996)","journal-title":"Fundamenta Informaticae"},{"key":"27_CR20","doi-asserted-by":"publisher","first-page":"40","DOI":"10.1016\/j.ins.2015.08.011","volume":"327","author":"YY Yao","year":"2016","unstructured":"Yao, Y.Y., She, Y.H.: Rough set models in multigranulation spaces. Inf. Sci. 327, 40 (2016)","journal-title":"Inf. Sci."},{"issue":"7","key":"27_CR21","doi-asserted-by":"publisher","first-page":"1745","DOI":"10.3724\/SP.J.1001.2012.04226","volume":"23","author":"QH Zhang","year":"2012","unstructured":"Zhang, Q.H., Wang, G.Y., Xiao, Y.: Approximation sets of rough sets. J. Softw. 23(7), 1745\u20131759 (2012)","journal-title":"J. Softw."},{"issue":"4","key":"27_CR22","doi-asserted-by":"publisher","first-page":"323","DOI":"10.1016\/j.trit.2016.11.001","volume":"1","author":"QH Zhang","year":"2016","unstructured":"Zhang, Q.H., Xie, Q., Wang, G.Y.: A survey on rough set theory and its applications. CAAI Trans. Intell. Technol. 1(4), 323\u2013333 (2016)","journal-title":"CAAI Trans. Intell. Technol."},{"issue":"3","key":"27_CR23","doi-asserted-by":"publisher","first-page":"2549","DOI":"10.3233\/JIFS-16533","volume":"32","author":"QH Zhang","year":"2017","unstructured":"Zhang, Q.H., Zhang, P., Wang, G.Y.: Research on approximation set of rough set based on fuzzy similarity. J. Intell. Fuzzy Syst. 32(3), 2549\u20132562 (2017)","journal-title":"J. Intell. Fuzzy Syst."},{"issue":"4","key":"27_CR24","first-page":"1","volume":"14","author":"WX Zhang","year":"2000","unstructured":"Zhang, W.X., Wu, W.Z.: An introduction and a survey for the studies of rough set theory. Fuzzy Syst. Math. 14(4), 1\u201312 (2000)","journal-title":"Fuzzy Syst. Math."},{"issue":"2","key":"27_CR25","first-page":"151","volume":"17","author":"X Zhang","year":"2004","unstructured":"Zhang, X., Mo, Z.: Variable precision rough sets. Pattern Recognit. Artif. Intell. 17(2), 151\u2013155 (2004)","journal-title":"Pattern Recognit. Artif. Intell."},{"issue":"1","key":"27_CR26","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.: Variable precision rough set model. J. Comput. Syst. Sci. 46(1), 39\u201359 (1993)","journal-title":"J. Comput. Syst. Sci."}],"container-title":["Lecture Notes in Computer Science","Rough Sets"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-22815-6_27","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,13]],"date-time":"2024-03-13T13:22:05Z","timestamp":1710336125000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-22815-6_27"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"ISBN":["9783030228149","9783030228156"],"references-count":26,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-22815-6_27","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2019]]},"assertion":[{"value":"9 June 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"IJCRS","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Joint Conference on Rough Sets","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Debrecen","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Hungary","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17 June 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"21 June 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"ijcrs2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/ijcrs2019.unideb.hu\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"71","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"41","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"58% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"2.5","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"2.54","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}