{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T23:19:51Z","timestamp":1725751191939},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642412172"},{"type":"electronic","value":"9783642412189"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-41218-9_30","type":"book-chapter","created":{"date-parts":[[2013,10,7]],"date-time":"2013-10-07T01:15:27Z","timestamp":1381108527000},"page":"277-284","source":"Crossref","is-referenced-by-count":4,"title":["Topological Characterizations for Three Covering Approximation Operators"],"prefix":"10.1007","author":[{"given":"Aiping","family":"Huang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"William","family":"Zhu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"30_CR1","first-page":"77","volume":"75","author":"D. Bianucci","year":"2007","unstructured":"Bianucci, D., Cattaneo, G., Ciucci, D.: Entropies and co-entropies of coverings with application to incomplete information systems. Fundamenta Informaticae\u00a075, 77\u2013105 (2007)","journal-title":"Fundamenta Informaticae"},{"key":"30_CR2","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1016\/S0020-0255(97)10046-9","volume":"107","author":"Z. Bonikowski","year":"1998","unstructured":"Bonikowski, Z., Bryniarski, E., Wybraniec-Skardowska, U.: Extensions and intentions in the rough set theory. Information Sciences\u00a0107, 149\u2013167 (1998)","journal-title":"Information Sciences"},{"key":"30_CR3","doi-asserted-by":"publisher","first-page":"3500","DOI":"10.1016\/j.ins.2007.02.041","volume":"177","author":"D. Chen","year":"2007","unstructured":"Chen, D., Wang, C., Hu, Q.: A new approach to attribute reduction of consistent and inconsistent covering decision systems with covering rough sets. Information Sciences\u00a0177, 3500\u20133518 (2007)","journal-title":"Information Sciences"},{"key":"30_CR4","volume-title":"General Topology","author":"R. Engelking","year":"1977","unstructured":"Engelking, R.: General Topology. Polish Scientific Publishers, Warszawa (1977)"},{"key":"30_CR5","doi-asserted-by":"publisher","first-page":"70","DOI":"10.1016\/j.ins.2012.04.005","volume":"204","author":"X. Ge","year":"2012","unstructured":"Ge, X., Bai, X., Yun, Z.: Topological characterizations of covering for special covering-based upper approximation operators. Information Sciences\u00a0204, 70\u201381 (2012)","journal-title":"Information Sciences"},{"key":"30_CR6","doi-asserted-by":"crossref","unstructured":"Lin, T.Y., Liu, G., Chakraborty, M.K., Slezak, D.: From Topology to Anti-reflexive Topology. In: Proc. of FUZZ IEEE 2013, Hyderabad, India, July 7-10 (2013)","DOI":"10.1109\/FUZZ-IEEE.2013.6622580"},{"key":"30_CR7","doi-asserted-by":"publisher","first-page":"589","DOI":"10.1016\/j.ins.2005.01.001","volume":"176","author":"M. Kondo","year":"2005","unstructured":"Kondo, M.: On the structure of generalized rough sets. Information Sciences\u00a0176, 589\u2013600 (2005)","journal-title":"Information Sciences"},{"key":"30_CR8","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1007\/BF01001956","volume":"11","author":"Z. Pawlak","year":"1982","unstructured":"Pawlak, Z.: Rough sets. International Journal of Computer and Information Sciences\u00a011, 341\u2013356 (1982)","journal-title":"International Journal of Computer and Information Sciences"},{"key":"30_CR9","series-title":"Lecture Notes in Artificial Intelligence","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1007\/978-3-540-72458-2_4","volume-title":"Rough Sets and Knowledge Technology","author":"K. Qin","year":"2007","unstructured":"Qin, K., Gao, Y., Pei, Z.: On covering rough sets. In: Yao, J., Lingras, P., Wu, W.-Z., Szczuka, M.S., Cercone, N.J., \u015al\u0119zak, D. (eds.) RSKT 2007. LNCS (LNAI), vol.\u00a04481, pp. 34\u201341. Springer, Heidelberg (2007)"},{"key":"30_CR10","series-title":"Lecture Notes in Artificial Intelligence","doi-asserted-by":"publisher","first-page":"435","DOI":"10.1007\/978-3-540-72530-5_52","volume-title":"Rough Sets, Fuzzy Sets, Data Mining and Granular Computing","author":"D. \u015al\\kezak","year":"2007","unstructured":"\u015al\u0119zak, D., Wasilewski, P.: Granular Sets - Foundations and Case Study of Tolerance Spaces. In: An, A., Stefanowski, J., Ramanna, S., Butz, C.J., Pedrycz, W., Wang, G. (eds.) RSFDGrC 2007. LNCS (LNAI), vol.\u00a04482, pp. 435\u2013442. Springer, Heidelberg (2007)"},{"key":"30_CR11","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1016\/j.ins.2012.02.065","volume":"200","author":"Y. Yao","year":"2012","unstructured":"Yao, Y., Yao, B.: Covering based rough set approximations. Information Sciences\u00a0200, 91\u2013107 (2012)","journal-title":"Information Sciences"},{"key":"30_CR12","doi-asserted-by":"crossref","unstructured":"Zhu, W., Wang, F.: Relationships among three types of covering rough sets. In: Granular Computing, pp. 43\u201348 (2006)","DOI":"10.1109\/GRC.2006.1635755"},{"key":"30_CR13","doi-asserted-by":"publisher","first-page":"1499","DOI":"10.1016\/j.ins.2006.06.009","volume":"177","author":"W. Zhu","year":"2007","unstructured":"Zhu, W.: Topological approaches to covering rough sets. Information Sciences\u00a0177, 1499\u20131508 (2007)","journal-title":"Information Sciences"},{"key":"30_CR14","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1016\/S0020-0255(03)00056-2","volume":"152","author":"W. Zhu","year":"2003","unstructured":"Zhu, W., Wang, F.: Reduction and axiomization of covering generalized rough sets. Information Sciences\u00a0152, 217\u2013230 (2003)","journal-title":"Information Sciences"},{"key":"30_CR15","doi-asserted-by":"publisher","first-page":"1131","DOI":"10.1109\/TKDE.2007.1044","volume":"19","author":"W. Zhu","year":"2007","unstructured":"Zhu, W., Wang, F.: On three types of covering rough sets. IEEE Transactions on Knowledge and Data Engineering\u00a019, 1131\u20131144 (2007)","journal-title":"IEEE Transactions on Knowledge and Data Engineering"},{"key":"30_CR16","doi-asserted-by":"publisher","first-page":"2478","DOI":"10.1016\/j.ins.2009.02.013","volume":"179","author":"W. Zhu","year":"2009","unstructured":"Zhu, W.: Relationship among basic concepts in covering-based rough sets. Information Sciences\u00a0179, 2478\u20132486 (2009)","journal-title":"Information Sciences"}],"container-title":["Lecture Notes in Computer Science","Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-41218-9_30","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,17]],"date-time":"2019-05-17T19:20:49Z","timestamp":1558120849000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-41218-9_30"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642412172","9783642412189"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-41218-9_30","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}