N-soft rough sets and its applications
In this paper, we propose a new hybrid model called N-soft rough sets, which can be seen as a combination of rough sets and N-soft sets. Moreover, approximation operators and some useful properties with respect to N-soft rough approximation space are introduced. Furthermore, we propose decision maki...
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| Published in | Journal of intelligent & fuzzy systems Vol. 40; no. 1; pp. 565 - 573 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
London, England
SAGE Publications
01.01.2021
Sage Publications Ltd |
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| Online Access | Get full text |
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| Abstract | In this paper, we propose a new hybrid model called N-soft rough sets, which can be seen as a combination of rough sets and N-soft sets. Moreover, approximation operators and some useful properties with respect to N-soft rough approximation space are introduced. Furthermore, we propose decision making procedures for N-soft rough sets, the approximation sets are utilized to handle problems involving multi-criteria decision-making(MCDM), aiming at electing the optional objects and the possible optional objects based on their attribute set. The algorithm addresses some limitations of the extended rough sets models in dealing with inconsistent decision problems. Finally, an application of N-soft rough sets in multi-criteria decision making is illustrated with a real life example. |
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| AbstractList | In this paper, we propose a new hybrid model called N-soft rough sets, which can be seen as a combination of rough sets and N-soft sets. Moreover, approximation operators and some useful properties with respect to N-soft rough approximation space are introduced. Furthermore, we propose decision making procedures for N-soft rough sets, the approximation sets are utilized to handle problems involving multi-criteria decision-making(MCDM), aiming at electing the optional objects and the possible optional objects based on their attribute set. The algorithm addresses some limitations of the extended rough sets models in dealing with inconsistent decision problems. Finally, an application of N-soft rough sets in multi-criteria decision making is illustrated with a real life example. |
| Author | An, Shuang Li, Pi-Yu Zhang, Di |
| Author_xml | – sequence: 1 givenname: Di surname: Zhang fullname: Zhang, Di organization: School of Mathematics and Statistics – sequence: 2 givenname: Pi-Yu surname: Li fullname: Li, Pi-Yu organization: School of Mathematics and Statistics – sequence: 3 givenname: Shuang surname: An fullname: An, Shuang email: anshuang503@163.com organization: School of Mathematics and Statistics |
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| Cites_doi | 10.3233/JIFS-18757 10.3233/IFS-151892 10.1016/0377-2217(94)90415-4 10.3233/JIFS-181972 10.1016/j.ins.2010.10.030 10.1016/S0898-1221(02)00216-X 10.1016/S0377-2217(98)00127-1 10.1007/s00500-009-0465-6 10.1016/j.ins.2010.11.004 10.1007/BF01001956 10.1016/j.eswa.2018.07.060 10.1007/s00355-013-0766-7 10.1007/s40314-020-1098-8 10.3233/JIFS-18244 10.1002/int.10014 10.1016/j.camwa.2008.11.009 10.1016/j.inffus.2012.10.005 10.1016/S0898-1221(03)00016-6 10.1007/3-540-45813-1_6 10.3233/JIFS-191197 10.1016/j.cie.2013.09.015 10.1016/j.ijar.2009.02.003 10.1007/s00500-019-03903-w 10.1007/s10462-018-9617-3 10.1007/3-540-45554-X_20 10.1007/s00500-019-04295-7 10.1007/s40815-019-00612-2 10.1016/j.ejor.2016.12.004 10.1016/S0377-2217(00)00167-3 10.1007/s00500-017-2838-6 10.1016/j.jksus.2018.06.005 10.1016/S0898-1221(99)00056-5 10.1007/978-94-011-3534-4_7 10.1016/j.asoc.2015.05.052 10.1007/978-3-642-04020-7_12 |
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start-page: 2381 issue: 4 year: 2019 ident: 10.3233/JIFS-200338_ref40 article-title: A novel type of soft rough covering and its application to multicriteria group decision making publication-title: Artificial Intelligence Review doi: 10.1007/s10462-018-9617-3 – ident: 10.3233/JIFS-200338_ref22 doi: 10.1007/3-540-45554-X_20 – volume: 24 start-page: 5377 issue: 7 year: 2020 ident: 10.3233/JIFS-200338_ref9 article-title: Partial belong relation on soft separation axioms and decision-making problem, two birds with one stone publication-title: Soft Computing doi: 10.1007/s00500-019-04295-7 – volume: 21 start-page: 954 issue: 3 year: 2019 ident: 10.3233/JIFS-200338_ref36 article-title: A Novel Approach to Decision Analysis Using Dominance-Based Soft Rough Sets publication-title: International Journal of Fuzzy Systems doi: 10.1007/s40815-019-00612-2 – volume: 261 start-page: 690 issue: 2 year: 2017 ident: 10.3233/JIFS-200338_ref16 article-title: Dominance-based rough fuzzy set approach and 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doi: 10.1016/S0898-1221(99)00056-5 – ident: 10.3233/JIFS-200338_ref32 doi: 10.1007/978-94-011-3534-4_7 – volume: 36 start-page: 499 year: 2015 ident: 10.3233/JIFS-200338_ref6 article-title: On lattice ordered soft sets publication-title: Applied Soft Computing doi: 10.1016/j.asoc.2015.05.052 – volume: 2 start-page: 69 issue: 1 year: 2011 ident: 10.3233/JIFS-200338_ref17 article-title: Soft rough sets applied to multicriteria group decision making publication-title: Annals of Fuzzy Mathematics and Informatics – ident: 10.3233/JIFS-200338_ref26 doi: 10.1007/978-3-642-04020-7_12 |
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