Interval-valued fuzzy reasoning method based on similarity measure
In this paper, a new similarity measure of interval-valued fuzzy sets is introduced. Meanwhile, interval-valued fuzzy reasoning method based on similarity measure for Fuzzy Modus Ponens and Fuzzy Modus Tollens are proposed, and the solutions of interval-valued fuzzy reasoning method based on similar...
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| Published in | Journal of logical and algebraic methods in programming Vol. 113; p. 100541 |
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| Format | Journal Article |
| Language | English |
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01.06.2020
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| Abstract | In this paper, a new similarity measure of interval-valued fuzzy sets is introduced. Meanwhile, interval-valued fuzzy reasoning method based on similarity measure for Fuzzy Modus Ponens and Fuzzy Modus Tollens are proposed, and the solutions of interval-valued fuzzy reasoning method based on similarity measure are given. Moreover, the robustness of interval-valued fuzzy reasoning method based on similarity measure is discussed. Finally, general interval-valued fuzzy reasoning method based on similarity measure is proposed. |
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| AbstractList | In this paper, a new similarity measure of interval-valued fuzzy sets is introduced. Meanwhile, interval-valued fuzzy reasoning method based on similarity measure for Fuzzy Modus Ponens and Fuzzy Modus Tollens are proposed, and the solutions of interval-valued fuzzy reasoning method based on similarity measure are given. Moreover, the robustness of interval-valued fuzzy reasoning method based on similarity measure is discussed. Finally, general interval-valued fuzzy reasoning method based on similarity measure is proposed. |
| ArticleNumber | 100541 |
| Author | Luo, Minxia Wang, Yajing Zhao, Ruirui |
| Author_xml | – sequence: 1 givenname: Minxia surname: Luo fullname: Luo, Minxia email: mxluo@cjlu.edu.cn organization: Department of Information and Computing Science, China Jiliang University, Hangzhou 310018, PR China – sequence: 2 givenname: Yajing surname: Wang fullname: Wang, Yajing organization: Department of Information and Computing Science, China Jiliang University, Hangzhou 310018, PR China – sequence: 3 givenname: Ruirui surname: Zhao fullname: Zhao, Ruirui organization: College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, PR China |
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| Cites_doi | 10.1016/j.ijar.2013.01.008 10.1016/j.ijar.2017.01.010 10.3233/JIFS-171140 10.1016/j.fss.2005.01.006 10.3233/IFS-141492 10.1016/j.fss.2006.03.007 10.1016/S0888-613X(03)00072-0 10.1016/S0020-0255(98)10103-2 10.1016/S0165-0114(96)00135-2 10.1109/TSMC.1973.5408575 10.1016/j.ijar.2018.06.001 10.1016/j.ijar.2017.05.009 10.1016/j.ijar.2012.01.007 10.1016/j.ijar.2015.07.004 10.1016/j.ijar.2015.05.006 10.1016/j.ins.2014.11.024 10.1016/j.ins.2007.09.003 10.1016/j.ijar.2015.04.002 10.1109/TFUZZ.2003.822678 10.1016/j.ins.2011.06.015 |
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| Keywords | Interval-valued fuzzy sets Robustness Similarity measure Fuzzy reasoning method |
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