A Novel Single-Valued Neutrosophic Set Similarity Measure and Its Application in Multicriteria Decision-Making
The single-valued neutrosophic set is a subclass of neutrosophic set, and has been proposed in recent years. An important application for single-valued neutrosophic sets is to solve multicriteria decision-making problems. The key to using neutrosophic sets in decision-making applications is to make...
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/9/8/127 |
| _version_ | 1798040742271123456 |
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| author | Wen Jiang Yehang Shou |
| author_facet | Wen Jiang Yehang Shou |
| author_sort | Wen Jiang |
| collection | DOAJ |
| description | The single-valued neutrosophic set is a subclass of neutrosophic set, and has been proposed in recent years. An important application for single-valued neutrosophic sets is to solve multicriteria decision-making problems. The key to using neutrosophic sets in decision-making applications is to make a similarity measure between single-valued neutrosophic sets. In this paper, a new method to measure the similarity between single-valued neutrosophic sets using Dempster–Shafer evidence theory is proposed, and it is applied in multicriteria decision-making. Finally, some examples are given to show the reasonable and effective use of the proposed method. |
| first_indexed | 2024-04-11T22:11:46Z |
| format | Article |
| id | doaj.art-788c17467d504b59a9407c1efaf6a687 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T22:11:46Z |
| publishDate | 2017-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-788c17467d504b59a9407c1efaf6a6872022-12-22T04:00:32ZengMDPI AGSymmetry2073-89942017-07-019812710.3390/sym9080127sym9080127A Novel Single-Valued Neutrosophic Set Similarity Measure and Its Application in Multicriteria Decision-MakingWen Jiang0Yehang Shou1School of Electronics and Information, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, ChinaSchool of Electronics and Information, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, ChinaThe single-valued neutrosophic set is a subclass of neutrosophic set, and has been proposed in recent years. An important application for single-valued neutrosophic sets is to solve multicriteria decision-making problems. The key to using neutrosophic sets in decision-making applications is to make a similarity measure between single-valued neutrosophic sets. In this paper, a new method to measure the similarity between single-valued neutrosophic sets using Dempster–Shafer evidence theory is proposed, and it is applied in multicriteria decision-making. Finally, some examples are given to show the reasonable and effective use of the proposed method.https://www.mdpi.com/2073-8994/9/8/127single-valued neutrosophic setmulticriteria decision-makingneutrosophic setDempster–Shafer evidence theorycorrelation coefficientsimilarity |
| spellingShingle | Wen Jiang Yehang Shou A Novel Single-Valued Neutrosophic Set Similarity Measure and Its Application in Multicriteria Decision-Making Symmetry single-valued neutrosophic set multicriteria decision-making neutrosophic set Dempster–Shafer evidence theory correlation coefficient similarity |
| title | A Novel Single-Valued Neutrosophic Set Similarity Measure and Its Application in Multicriteria Decision-Making |
| title_full | A Novel Single-Valued Neutrosophic Set Similarity Measure and Its Application in Multicriteria Decision-Making |
| title_fullStr | A Novel Single-Valued Neutrosophic Set Similarity Measure and Its Application in Multicriteria Decision-Making |
| title_full_unstemmed | A Novel Single-Valued Neutrosophic Set Similarity Measure and Its Application in Multicriteria Decision-Making |
| title_short | A Novel Single-Valued Neutrosophic Set Similarity Measure and Its Application in Multicriteria Decision-Making |
| title_sort | novel single valued neutrosophic set similarity measure and its application in multicriteria decision making |
| topic | single-valued neutrosophic set multicriteria decision-making neutrosophic set Dempster–Shafer evidence theory correlation coefficient similarity |
| url | https://www.mdpi.com/2073-8994/9/8/127 |
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