COTANGENT SIMILARITY MEASURE OF ROUGH NEUTROSOPHIC SETS AND ITS APPLICATION TO MEDICAL DIAGNOSIS
– Similarity measure plays an important role in medical diagnosis. In this paper, a new rough cotangent similarity measure between two rough neutrosophic sets is proposed. The notion of rough neutrosophic set is used as vector representations in 3D-vector space. The rating of all elements in rough n...
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| Format: | Article |
| Language: | English |
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Naim Çağman
2015-05-01
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| Series: | Journal of New Theory |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/407414 |
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| _version_ | 1849723860202553344 |
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| author | Surapati Pramanik Kalyan Mondal |
| author_facet | Surapati Pramanik Kalyan Mondal |
| author_sort | Surapati Pramanik |
| collection | DOAJ |
| description | – Similarity measure plays an important role in medical diagnosis. In this paper, a new rough cotangent similarity measure between two rough neutrosophic sets is proposed. The notion of rough neutrosophic set is used as vector representations in 3D-vector space. The rating of all elements in rough neutrosophic set is expressed with the upper and lower approximation operator and the pair of neutrosophic sets which are characterized by truth-membership degree, indeterminacy-membership degree, and falsitymembership degree. A numerical example of the medical diagnosis is provided to show the effectiveness and flexibility of the proposed method |
| format | Article |
| id | doaj-art-2f7ea0160fbf4802bf578c463ea90531 |
| institution | DOAJ |
| issn | 2149-1402 |
| language | English |
| publishDate | 2015-05-01 |
| publisher | Naim Çağman |
| record_format | Article |
| series | Journal of New Theory |
| spelling | doaj-art-2f7ea0160fbf4802bf578c463ea905312025-08-20T03:10:54ZengNaim ÇağmanJournal of New Theory2149-14022015-05-014901022425COTANGENT SIMILARITY MEASURE OF ROUGH NEUTROSOPHIC SETS AND ITS APPLICATION TO MEDICAL DIAGNOSISSurapati PramanikKalyan Mondal– Similarity measure plays an important role in medical diagnosis. In this paper, a new rough cotangent similarity measure between two rough neutrosophic sets is proposed. The notion of rough neutrosophic set is used as vector representations in 3D-vector space. The rating of all elements in rough neutrosophic set is expressed with the upper and lower approximation operator and the pair of neutrosophic sets which are characterized by truth-membership degree, indeterminacy-membership degree, and falsitymembership degree. A numerical example of the medical diagnosis is provided to show the effectiveness and flexibility of the proposed methodhttps://dergipark.org.tr/en/download/article-file/407414– rough cotangent similarity measurerough setsneutrosophic setsindeterminacy membership degree3d vector space |
| spellingShingle | Surapati Pramanik Kalyan Mondal COTANGENT SIMILARITY MEASURE OF ROUGH NEUTROSOPHIC SETS AND ITS APPLICATION TO MEDICAL DIAGNOSIS Journal of New Theory – rough cotangent similarity measure rough sets neutrosophic sets indeterminacy membership degree 3d vector space |
| title | COTANGENT SIMILARITY MEASURE OF ROUGH NEUTROSOPHIC SETS AND ITS APPLICATION TO MEDICAL DIAGNOSIS |
| title_full | COTANGENT SIMILARITY MEASURE OF ROUGH NEUTROSOPHIC SETS AND ITS APPLICATION TO MEDICAL DIAGNOSIS |
| title_fullStr | COTANGENT SIMILARITY MEASURE OF ROUGH NEUTROSOPHIC SETS AND ITS APPLICATION TO MEDICAL DIAGNOSIS |
| title_full_unstemmed | COTANGENT SIMILARITY MEASURE OF ROUGH NEUTROSOPHIC SETS AND ITS APPLICATION TO MEDICAL DIAGNOSIS |
| title_short | COTANGENT SIMILARITY MEASURE OF ROUGH NEUTROSOPHIC SETS AND ITS APPLICATION TO MEDICAL DIAGNOSIS |
| title_sort | cotangent similarity measure of rough neutrosophic sets and its application to medical diagnosis |
| topic | – rough cotangent similarity measure rough sets neutrosophic sets indeterminacy membership degree 3d vector space |
| url | https://dergipark.org.tr/en/download/article-file/407414 |
| work_keys_str_mv | AT surapatipramanik cotangentsimilaritymeasureofroughneutrosophicsetsanditsapplicationtomedicaldiagnosis AT kalyanmondal cotangentsimilaritymeasureofroughneutrosophicsetsanditsapplicationtomedicaldiagnosis |