Numerical Characterizations of Topological Reductions of Covering Information Systems in Evidence Theory
The reductions of covering information systems in terms of covering approximation operators are one of the most important applications of covering rough set theory. Based on the connections between the theory of topology and the covering rough set theory, two kinds of topological reductions of cover...
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| Veröffentlicht in: | Mathematical problems in engineering Jg. 2021; S. 1 - 9 |
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| Sprache: | Englisch |
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31.03.2021
John Wiley & Sons, Inc |
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| Abstract | The reductions of covering information systems in terms of covering approximation operators are one of the most important applications of covering rough set theory. Based on the connections between the theory of topology and the covering rough set theory, two kinds of topological reductions of covering information systems are discussed in this paper, which are characterized by the belief and plausibility functions from the evidence theory. The topological spaces by two pairs of covering approximation operators in covering information systems are pseudo-discrete, which deduce partitions. Then, using plausibility function values of the sets in the partitions, the definitions of significance and relative significance of coverings are presented. Hence, topological reduction algorithms based on the evidence theory are proposed in covering information systems, and an example is adopted to illustrate the validity of the algorithms. |
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| AbstractList | The reductions of covering information systems in terms of covering approximation operators are one of the most important applications of covering rough set theory. Based on the connections between the theory of topology and the covering rough set theory, two kinds of topological reductions of covering information systems are discussed in this paper, which are characterized by the belief and plausibility functions from the evidence theory. The topological spaces by two pairs of covering approximation operators in covering information systems are pseudo-discrete, which deduce partitions. Then, using plausibility function values of the sets in the partitions, the definitions of significance and relative significance of coverings are presented. Hence, topological reduction algorithms based on the evidence theory are proposed in covering information systems, and an example is adopted to illustrate the validity of the algorithms. |
| Author | Zhang, Yan-Lan Li, Chang-Qing |
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| Cites_doi | 10.1214/aoms/1177698950 10.1016/j.knosys.2018.01.008 10.1016/j.ins.2012.11.005 10.1016/j.knosys.2016.11.010 10.1049/trit.2019.0008 10.1016/j.ins.2016.01.099 10.1016/j.ins.2012.03.023 10.1016/j.ins.2011.01.013 10.1515/dema-1983-0319 10.3390/sym10120710 10.1016/j.ins.2012.04.005 10.1007/3-540-39205-X_6 10.1016/j.ijar.2019.01.003 10.1016/j.ins.2015.03.060 10.1016/j.ijar.2015.09.003 10.1007/s00500-019-04113-0 10.1007/s00500-018-3321-8 10.1109/tkde.2007.1044 10.1007/bf01001956 10.1016/j.ins.2009.08.031 10.1016/j.camwa.2006.12.104 10.1016/j.ins.2012.02.065 10.1016/j.ins.2013.08.057 10.1016/s0020-0255(98)10006-3 10.1016/j.ins.2013.07.019 10.1016/j.ins.2015.04.051 10.1016/j.fss.2007.03.018 10.1016/j.ijar.2013.08.002 10.1016/j.ijar.2013.10.003 10.1007/s10462-019-09748-x 10.1016/j.ins.2007.02.041 10.1016/j.ins.2014.06.032 10.1016/j.asoc.2014.10.006 10.1016/j.ijar.2019.09.008 10.1016/j.ijar.2015.01.006 10.3390/sym10100462 10.1016/j.ins.2008.12.025 10.2298/fil1809129z 10.1515/9780691214696 10.3390/info10110334 10.1016/s0020-0255(97)10046-9 10.1007/s00500-020-05098-x 10.1016/j.knosys.2019.02.014 10.1007/978-3-319-25783-9_11 10.1016/j.ins.2018.04.073 |
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| Copyright | Copyright © 2021 Yan-Lan Zhang and Chang-Qing Li. Copyright © 2021 Yan-Lan Zhang and Chang-Qing Li. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0 |
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| References | 44 45 46 K Qin (8) Y. Yao (52) G. Shafer (42) 1976 51 53 J. A Pomykala (7) 1987; 35 10 54 11 12 13 14 15 16 17 18 19 1 2 4 5 6 9 20 21 22 23 Y. Zhang (40) 2011; 31 25 26 27 28 29 Y. Zhang (48) 2018; 31 E. Cěch (50) 1966 30 31 32 33 35 36 J. W Tukey (55) 1940 37 Y. Zhang (47) 2019; 51 38 D. Chen (24) 2007; 177 39 E Bryniarski (3) 1989; 36 B. Chen (34) 2013; 16 R. Engelking (49) 1977 41 43 |
| References_xml | – volume-title: General Topology year: 1977 ident: 49 – ident: 41 doi: 10.1214/aoms/1177698950 – ident: 43 doi: 10.1016/j.knosys.2018.01.008 – volume: 51 start-page: 599 issue: 5 year: 2019 ident: 47 article-title: Evidence-theory-based numerical characterization of attribute reduction in covering decision information system publication-title: Journal of Nanjing University of Aeronautics & Astronautics – volume: 31 start-page: 797 issue: 9 year: 2018 ident: 48 article-title: Attribute reduction of covering decision information system based on evidence theory publication-title: Pattern Recognition and Artificial Intelligence – ident: 32 doi: 10.1016/j.ins.2012.11.005 – ident: 25 doi: 10.1016/j.knosys.2016.11.010 – ident: 38 doi: 10.1049/trit.2019.0008 – ident: 26 doi: 10.1016/j.ins.2016.01.099 – ident: 11 doi: 10.1016/j.ins.2012.03.023 – ident: 17 doi: 10.1016/j.ins.2011.01.013 – ident: 18 doi: 10.1515/dema-1983-0319 – ident: 12 doi: 10.3390/sym10120710 – ident: 35 doi: 10.1016/j.ins.2012.04.005 – ident: 52 article-title: On generalizing rough set theory doi: 10.1007/3-540-39205-X_6 – start-page: 34 ident: 8 article-title: On covering rough sets – volume-title: Topological Spaces year: 1966 ident: 50 – ident: 36 doi: 10.1016/j.ijar.2019.01.003 – ident: 33 doi: 10.1016/j.ins.2015.03.060 – ident: 20 doi: 10.1016/j.ijar.2015.09.003 – volume: 16 start-page: 3335 issue: 6 year: 2013 ident: 34 article-title: Topological structures on covering-based rough sets publication-title: Inform Japan – volume: 31 start-page: 495 issue: 3 year: 2011 ident: 40 article-title: The reduction in a family of coverings producing a topology publication-title: Journal of Mathematics – ident: 4 doi: 10.1007/s00500-019-04113-0 – ident: 19 doi: 10.1007/s00500-018-3321-8 – ident: 21 doi: 10.1109/tkde.2007.1044 – ident: 1 doi: 10.1007/bf01001956 – ident: 53 doi: 10.1016/j.ins.2009.08.031 – ident: 29 doi: 10.1016/j.camwa.2006.12.104 – ident: 16 doi: 10.1016/j.ins.2012.02.065 – ident: 30 doi: 10.1016/j.ins.2013.08.057 – ident: 51 doi: 10.1016/s0020-0255(98)10006-3 – ident: 6 doi: 10.1016/j.ins.2013.07.019 – ident: 44 doi: 10.1016/j.ins.2015.04.051 – ident: 15 doi: 10.1016/j.fss.2007.03.018 – ident: 10 doi: 10.1016/j.ijar.2013.08.002 – ident: 23 doi: 10.1016/j.ijar.2013.10.003 – ident: 5 doi: 10.1007/s10462-019-09748-x – volume: 177 start-page: 3500 year: 2007 ident: 24 article-title: A new approach to attribute reduction of consistent and inconsistent covering decision systems with covering rough sets publication-title: Information Sciences doi: 10.1016/j.ins.2007.02.041 – volume-title: Covergence and Uniformity in Topology, Ann Math Studies, 2 year: 1940 ident: 55 – ident: 9 doi: 10.1016/j.ins.2014.06.032 – ident: 31 doi: 10.1016/j.asoc.2014.10.006 – volume: 36 start-page: 71 issue: 16 year: 1989 ident: 3 article-title: A calculus of rough sets of the first order publication-title: Bulletin of the Polish Academy of Sciences – ident: 39 doi: 10.1016/j.ijar.2019.09.008 – ident: 28 doi: 10.1016/j.ijar.2015.01.006 – ident: 13 doi: 10.3390/sym10100462 – ident: 27 doi: 10.1016/j.ins.2008.12.025 – ident: 54 doi: 10.2298/fil1809129z – volume-title: A Mathematical Theory of Evidence year: 1976 ident: 42 doi: 10.1515/9780691214696 – volume: 35 start-page: 653 issue: 9-10 year: 1987 ident: 7 article-title: Approximation operations in approximation space publication-title: Bulletin of the Polish Academy of Sciences – ident: 46 doi: 10.3390/info10110334 – ident: 2 doi: 10.1016/s0020-0255(97)10046-9 – ident: 14 doi: 10.1007/s00500-020-05098-x – ident: 22 doi: 10.1016/j.knosys.2019.02.014 – ident: 37 doi: 10.1007/978-3-319-25783-9_11 – ident: 45 doi: 10.1016/j.ins.2018.04.073 |
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| SubjectTerms | Algorithms Approximation Engineering Information systems Mathematical analysis Mathematical functions Operators (mathematics) Partitions Set theory Topology Universe |
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