Dice Similarity Measure between Single Valued Neutrosophic Multisets and Its Application in Medical Diagnosis
This paper introduces the concept of a single valued neutrosophic multiset (SVNM) as a generalization of an intuitionistic fuzzy multiset (IFM) and some basic operational relations of SVNMs, and then proposes the Dice similarity measure and the weighted Dice similarity measure for SVNMs and investig...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2014-12-01
|
| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.gallup.unm.edu/NSS/Dice%20Similarity%20Measure%20between%20Single%20Valued.pdf |
| _version_ | 1818857605151326208 |
|---|---|
| author | Shan Ye Jun Ye |
| author_facet | Shan Ye Jun Ye |
| author_sort | Shan Ye |
| collection | DOAJ |
| description | This paper introduces the concept of a single valued neutrosophic multiset (SVNM) as a generalization of an intuitionistic fuzzy multiset (IFM) and some basic operational relations of SVNMs, and then proposes the Dice similarity measure and the weighted Dice similarity measure for SVNMs and investigates their properties. Fi
nally, the Dice similarity measure is applied to a medical diagnosis problem with SVNM information. This diagnosis method can deal with the medical diagnosis problem with indeterminate and inconsistent information which cannot be handled by the diagnosis method based on IFMs. |
| first_indexed | 2024-12-19T08:43:03Z |
| format | Article |
| id | doaj.art-94350573da1646a59c9dc90d2d130be0 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-12-19T08:43:03Z |
| publishDate | 2014-12-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-94350573da1646a59c9dc90d2d130be02022-12-21T20:28:52ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2014-12-0164954Dice Similarity Measure between Single Valued Neutrosophic Multisets and Its Application in Medical DiagnosisShan Ye0Jun Ye1Tashan Community Health Service Center, Zhejiang, P.R. ChinaShaoxing University, Zhejiang, P.R. ChinaThis paper introduces the concept of a single valued neutrosophic multiset (SVNM) as a generalization of an intuitionistic fuzzy multiset (IFM) and some basic operational relations of SVNMs, and then proposes the Dice similarity measure and the weighted Dice similarity measure for SVNMs and investigates their properties. Fi nally, the Dice similarity measure is applied to a medical diagnosis problem with SVNM information. This diagnosis method can deal with the medical diagnosis problem with indeterminate and inconsistent information which cannot be handled by the diagnosis method based on IFMs.http://fs.gallup.unm.edu/NSS/Dice%20Similarity%20Measure%20between%20Single%20Valued.pdfSingle valued neutrosophic setmultisetsingle valued neutrosophic multisetDice similarity measuremedical diagnosis |
| spellingShingle | Shan Ye Jun Ye Dice Similarity Measure between Single Valued Neutrosophic Multisets and Its Application in Medical Diagnosis Neutrosophic Sets and Systems Single valued neutrosophic set multiset single valued neutrosophic multiset Dice similarity measure medical diagnosis |
| title | Dice Similarity Measure between Single Valued Neutrosophic Multisets and Its Application in Medical Diagnosis |
| title_full | Dice Similarity Measure between Single Valued Neutrosophic Multisets and Its Application in Medical Diagnosis |
| title_fullStr | Dice Similarity Measure between Single Valued Neutrosophic Multisets and Its Application in Medical Diagnosis |
| title_full_unstemmed | Dice Similarity Measure between Single Valued Neutrosophic Multisets and Its Application in Medical Diagnosis |
| title_short | Dice Similarity Measure between Single Valued Neutrosophic Multisets and Its Application in Medical Diagnosis |
| title_sort | dice similarity measure between single valued neutrosophic multisets and its application in medical diagnosis |
| topic | Single valued neutrosophic set multiset single valued neutrosophic multiset Dice similarity measure medical diagnosis |
| url | http://fs.gallup.unm.edu/NSS/Dice%20Similarity%20Measure%20between%20Single%20Valued.pdf |
| work_keys_str_mv | AT shanye dicesimilaritymeasurebetweensinglevaluedneutrosophicmultisetsanditsapplicationinmedicaldiagnosis AT junye dicesimilaritymeasurebetweensinglevaluedneutrosophicmultisetsanditsapplicationinmedicaldiagnosis |