Cosine Similarity Measure of Interval Valued Neutrosophic Sets
In this paper, we define a new cosine similarity between two interval valued neutrosophic sets based on Bhattacharya’s distance [19]. The notions of interval valued neutrosophic sets (IVNS, for short) will be used as vector representations in 3D-vector space. Based on the comparative analysis of t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2014-09-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.gallup.unm.edu/NSS/Cosine%20Similarity%20Measure%20of%20Interval%20Valued.pdf |
| _version_ | 1818255355022409728 |
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| author | Said Broumi Florentin Smarandache |
| author_facet | Said Broumi Florentin Smarandache |
| author_sort | Said Broumi |
| collection | DOAJ |
| description | In this paper, we define a new cosine similarity between two interval valued neutrosophic sets based on Bhattacharya’s distance [19]. The notions of interval valued neutrosophic sets (IVNS, for short) will be used as vector representations in 3D-vector space. Based on
the comparative analysis of the existing similarity measures for IVNS, we find that our proposed similarity measure is better and more robust. An illustrative example of the pattern recognition shows that the proposed method is simple and effective. |
| first_indexed | 2024-12-12T17:10:32Z |
| format | Article |
| id | doaj.art-7a75d20d0c044680b76df971c86f65e7 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-12-12T17:10:32Z |
| publishDate | 2014-09-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-7a75d20d0c044680b76df971c86f65e72022-12-22T00:17:53ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2014-09-0151520Cosine Similarity Measure of Interval Valued Neutrosophic SetsSaid Broumi0Florentin Smarandache1Hassan II Mohammedia-Casablanca University, MoroccoUniversity of New Mexico, USAIn this paper, we define a new cosine similarity between two interval valued neutrosophic sets based on Bhattacharya’s distance [19]. The notions of interval valued neutrosophic sets (IVNS, for short) will be used as vector representations in 3D-vector space. Based on the comparative analysis of the existing similarity measures for IVNS, we find that our proposed similarity measure is better and more robust. An illustrative example of the pattern recognition shows that the proposed method is simple and effective.http://fs.gallup.unm.edu/NSS/Cosine%20Similarity%20Measure%20of%20Interval%20Valued.pdfCosine Similarity Measure |
| spellingShingle | Said Broumi Florentin Smarandache Cosine Similarity Measure of Interval Valued Neutrosophic Sets Neutrosophic Sets and Systems Cosine Similarity Measure |
| title | Cosine Similarity Measure of Interval Valued Neutrosophic Sets |
| title_full | Cosine Similarity Measure of Interval Valued Neutrosophic Sets |
| title_fullStr | Cosine Similarity Measure of Interval Valued Neutrosophic Sets |
| title_full_unstemmed | Cosine Similarity Measure of Interval Valued Neutrosophic Sets |
| title_short | Cosine Similarity Measure of Interval Valued Neutrosophic Sets |
| title_sort | cosine similarity measure of interval valued neutrosophic sets |
| topic | Cosine Similarity Measure |
| url | http://fs.gallup.unm.edu/NSS/Cosine%20Similarity%20Measure%20of%20Interval%20Valued.pdf |
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