{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T07:18:48Z","timestamp":1743059928937,"version":"3.40.3"},"publisher-location":"Cham","reference-count":22,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030980177"},{"type":"electronic","value":"9783030980184"}],"license":[{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022]]},"DOI":"10.1007\/978-3-030-98018-4_2","type":"book-chapter","created":{"date-parts":[[2022,3,3]],"date-time":"2022-03-03T20:27:09Z","timestamp":1646339229000},"page":"16-28","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["The Lattice Structure of\u00a0Coverings in\u00a0an\u00a0Incomplete Information Table with\u00a0Value Similarity"],"prefix":"10.1007","author":[{"given":"Michinori","family":"Nakata","sequence":"first","affiliation":[]},{"given":"Norio","family":"Saito","sequence":"additional","affiliation":[]},{"given":"Hiroshi","family":"Sakai","sequence":"additional","affiliation":[]},{"given":"Takeshi","family":"Fujiwara","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,3,4]]},"reference":[{"key":"2_CR1","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.: Rough Sets: Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht (1991). https:\/\/doi.org\/10.1007\/978-94-011-3534-4"},{"key":"2_CR2","doi-asserted-by":"publisher","first-page":"262","DOI":"10.1145\/320083.320088","volume":"4","author":"W Lipski","year":"1979","unstructured":"Lipski, W.: On semantics issues connected with incomplete information databases. ACM Trans. Database Syst. 4, 262\u2013296 (1979)","journal-title":"ACM Trans. Database Syst."},{"key":"2_CR3","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1016\/S0020-0255(98)10065-8","volume":"113","author":"M Kryszkiewicz","year":"1999","unstructured":"Kryszkiewicz, M.: Rules in incomplete information systems. Inf. Sci. 113, 271\u2013292 (1999)","journal-title":"Inf. Sci."},{"key":"2_CR4","doi-asserted-by":"publisher","unstructured":"Nakata, M., Sakai, H.: Applying rough sets to information tables containing missing values. In: Proceedings of 39th International Symposium on Multiple-Valued Logic, pp. 286\u2013291. IEEE Press (2009). https:\/\/doi.org\/10.1109\/ISMVL.2009.1","DOI":"10.1109\/ISMVL.2009.1"},{"key":"2_CR5","doi-asserted-by":"publisher","first-page":"545","DOI":"10.1111\/0824-7935.00162","volume":"17","author":"J Stefanowski","year":"2001","unstructured":"Stefanowski, J., Tsouki\u00e0s, A.: Incomplete information tables and rough classification. Comput. Intell. 17, 545\u2013566 (2001)","journal-title":"Comput. Intell."},{"key":"2_CR6","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1016\/j.ins.2012.11.005","volume":"228","author":"T Yang","year":"2013","unstructured":"Yang, T., Li, Q., Zhou, B.: Related family: a new method for attribute reduction of covering information systems. Inf. Sci. 228, 175\u2013191 (2013)","journal-title":"Inf. Sci."},{"key":"2_CR7","series-title":"Advances in Intelligent Systems and Computing","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1007\/978-3-030-31129-2_2","volume-title":"Proceedings of the International Conference on Advanced Intelligent Systems and Informatics 2019","author":"M Nakata","year":"2020","unstructured":"Nakata, M., Sakai, H., Hara, K.: Rough sets based on possibly indiscernible classes in incomplete information tables with continuous values. In: Hassanien, A.E., Shaalan, K., Tolba, M.F. (eds.) AISI 2019. AISC, vol. 1058, pp. 13\u201323. Springer, Cham (2020). https:\/\/doi.org\/10.1007\/978-3-030-31129-2_2"},{"key":"2_CR8","first-page":"245","volume":"27","author":"A Skowron","year":"1996","unstructured":"Skowron, A., Stepaniuk, J.: Tolerance approximation spaces. Fund. Inform. 27, 245\u2013253 (1996)","journal-title":"Fund. Inform."},{"key":"2_CR9","doi-asserted-by":"crossref","unstructured":"Zakowski, W.: Approximations in the Space $$(U, \\Pi )$$, Demonstratio Mathematica, XVI(3), 761\u2013769 (1983)","DOI":"10.1515\/dema-1983-0319"},{"key":"2_CR10","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 intensions in the rough set theory. Inf. Sci. 107, 149\u2013167 (1998)","journal-title":"Inf. Sci."},{"issue":"8","key":"2_CR11","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-based rough sets. IEEE Trans. Knowl. Data Eng. 19(8), 1131\u20131144 (2007)","journal-title":"IEEE Trans. Knowl. Data Eng."},{"key":"2_CR12","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. Inf. Sci. 200, 91\u2013107 (2012)","journal-title":"Inf. Sci."},{"issue":"3\u20134","key":"2_CR13","first-page":"223","volume":"108","author":"I Couso","year":"2011","unstructured":"Couso, I., Dubois, D.: Rough sets, coverings and incomplete information. Fund. Inform. 108(3\u20134), 223\u2013347 (2011)","journal-title":"Fund. Inform."},{"key":"2_CR14","doi-asserted-by":"crossref","unstructured":"Lin, G., Liang, J., Qian, Y.: Multigranulation rough sets: from partition to covering. Inf. Sci. 241, 101\u2013118 (2013) http:\/\/dx.doi.org\/10.1016\/j.ins.2013.03.046","DOI":"10.1016\/j.ins.2013.03.046"},{"key":"2_CR15","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. Inf. Sci. 177, 3500\u20133518 (2007). https:\/\/doi.org\/10.1016\/j.ins.2007.02.041","journal-title":"Inf. Sci."},{"key":"2_CR16","doi-asserted-by":"crossref","unstructured":"Chen, D., Li, W., Zhang, Z., Kwong, S.: Evidence-theory-based numerical algorithms of attribute reduction with neighborhood-covering rough sets. Int. J. Approximate Reasoning, 55, 908\u2013923 (2014). http:\/\/dx.doi.org\/10.1016\/j.ijar.2013.10.003","DOI":"10.1016\/j.ijar.2013.10.003"},{"key":"2_CR17","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1016\/j.knosys.2013.06.012","volume":"50","author":"X Zhang","year":"2013","unstructured":"Zhang, X., Mei, C.L., Chen, D.G., Li, J.: Multi-confidence rule acquisition oriented attribute reduction of covering decision systems via combinatorial optimization. Knowl.-Based Syst. 50, 187\u2013197 (2013). https:\/\/doi.org\/10.1016\/j.knosys.2013.06.012","journal-title":"Knowl.-Based Syst."},{"key":"2_CR18","series-title":"Studies in Big Data","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/978-3-030-59338-4_1","volume-title":"Machine Learning and Big Data Analytics Paradigms: Analysis, Applications and Challenges","author":"M Nakata","year":"2021","unstructured":"Nakata, M., Sakai, H., Hara, K.: Rough sets and rule induction from indiscernibility relations based on possible world semantics in incomplete information systems with continuous domains. In: Hassanien, A.E., Darwish, A. (eds.) Machine Learning and Big Data Analytics Paradigms: Analysis, Applications and Challenges. SBD, vol. 77, pp. 3\u201323. Springer, Cham (2021). https:\/\/doi.org\/10.1007\/978-3-030-59338-4_1"},{"key":"2_CR19","doi-asserted-by":"publisher","first-page":"1003","DOI":"10.1186\/s40064-016-2670-y","volume":"5","author":"S Safari","year":"2016","unstructured":"Safari, S., Hooshmandasl, M.R.: On twelve types of covering-based rough sets. Springerplus 5, 1003 (2016). https:\/\/doi.org\/10.1186\/s40064-016-2670-y","journal-title":"Springerplus"},{"key":"2_CR20","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. Inf. Sci. 179, 2478\u20132486 (2009). https:\/\/doi.org\/10.1016\/j.ins.2009.02.013","journal-title":"Inf. Sci."},{"key":"2_CR21","doi-asserted-by":"crossref","unstructured":"Liu, Y., Zhu, W.: On three types of covering-based rough sets via definable sets. In: 2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), pp. 1226\u20131233 (2014)","DOI":"10.1109\/FUZZ-IEEE.2014.6891704"},{"key":"2_CR22","doi-asserted-by":"publisher","first-page":"546","DOI":"10.1080\/17451000.2013.798898","volume":"42","author":"M Nakata","year":"2013","unstructured":"Nakata, M., Sakai, H.: Twofold rough approximations under incomplete information. Int. J. Gen. Syst. 42, 546\u2013571 (2013). https:\/\/doi.org\/10.1080\/17451000.2013.798898","journal-title":"Int. J. Gen. Syst."}],"container-title":["Lecture Notes in Computer Science","Integrated Uncertainty in Knowledge Modelling and Decision Making"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-98018-4_2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,3,11]],"date-time":"2022-03-11T00:03:06Z","timestamp":1646956986000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-98018-4_2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022]]},"ISBN":["9783030980177","9783030980184"],"references-count":22,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-98018-4_2","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2022]]},"assertion":[{"value":"4 March 2022","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"IUKM","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Symposium on Integrated Uncertainty in Knowledge Modelling and Decision Making","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Ishikawa","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Japan","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2022","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"18 March 2022","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"20 March 2022","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"9","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"iukm2022","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.jaist.ac.jp\/IUKM\/IUKM2022\/","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":"Easy chair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"46","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":"30","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":"65% - 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":"3.1","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":"2.7","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":"No","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}