The Intuitionistic Fuzzy Linguistic Cosine Similarity Measure and Its Application in Pattern Recognition
We propose the cosine similarity measures for intuitionistic fuzzy linguistic sets (IFLSs) and interval-valued intuitionistic fuzzy linguistic sets (IVIFLSs), which are expressed by the linguistic scale function based on the cosine function. Then, the weighted cosine similarity measure and the order...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/9073597 |
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| author | Donghai Liu Xiaohong Chen Dan Peng |
| author_facet | Donghai Liu Xiaohong Chen Dan Peng |
| author_sort | Donghai Liu |
| collection | DOAJ |
| description | We propose the cosine similarity measures for intuitionistic fuzzy linguistic sets (IFLSs) and interval-valued intuitionistic fuzzy linguistic sets (IVIFLSs), which are expressed by the linguistic scale function based on the cosine function. Then, the weighted cosine similarity measure and the ordered weighted cosine similarity measure for IFLSs and IVIFLSs are introduced by taking into account the importance of each element, and the properties of the cosine similarity measures are also given. The main advantage of the proposed cosine similarity measures is that the decision-makers can flexibly select the linguistic scale function depending on the actual semantic situation. Finally, we present the application of the cosine similarity measures for intuitionistic fuzzy linguistic term sets and interval-valued intuitionistic fuzzy linguistic term sets to pattern recognition and medical diagnosis, and the existing cosine similarity measures are compared with the proposed cosine similarity measures by the illustrative example. |
| format | Article |
| id | doaj-art-6b80e5e5015c4e14831caeaa7cc649b5 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-6b80e5e5015c4e14831caeaa7cc649b52025-08-20T03:33:46ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/90735979073597The Intuitionistic Fuzzy Linguistic Cosine Similarity Measure and Its Application in Pattern RecognitionDonghai Liu0Xiaohong Chen1Dan Peng2School of Business, Central South University, Changsha, Hunan 410075, ChinaSchool of Business, Central South University, Changsha, Hunan 410075, ChinaDepartment of Mathematics, Hunan University of Science and Technology, Xiangtan, Hunan 411201, ChinaWe propose the cosine similarity measures for intuitionistic fuzzy linguistic sets (IFLSs) and interval-valued intuitionistic fuzzy linguistic sets (IVIFLSs), which are expressed by the linguistic scale function based on the cosine function. Then, the weighted cosine similarity measure and the ordered weighted cosine similarity measure for IFLSs and IVIFLSs are introduced by taking into account the importance of each element, and the properties of the cosine similarity measures are also given. The main advantage of the proposed cosine similarity measures is that the decision-makers can flexibly select the linguistic scale function depending on the actual semantic situation. Finally, we present the application of the cosine similarity measures for intuitionistic fuzzy linguistic term sets and interval-valued intuitionistic fuzzy linguistic term sets to pattern recognition and medical diagnosis, and the existing cosine similarity measures are compared with the proposed cosine similarity measures by the illustrative example.http://dx.doi.org/10.1155/2018/9073597 |
| spellingShingle | Donghai Liu Xiaohong Chen Dan Peng The Intuitionistic Fuzzy Linguistic Cosine Similarity Measure and Its Application in Pattern Recognition Complexity |
| title | The Intuitionistic Fuzzy Linguistic Cosine Similarity Measure and Its Application in Pattern Recognition |
| title_full | The Intuitionistic Fuzzy Linguistic Cosine Similarity Measure and Its Application in Pattern Recognition |
| title_fullStr | The Intuitionistic Fuzzy Linguistic Cosine Similarity Measure and Its Application in Pattern Recognition |
| title_full_unstemmed | The Intuitionistic Fuzzy Linguistic Cosine Similarity Measure and Its Application in Pattern Recognition |
| title_short | The Intuitionistic Fuzzy Linguistic Cosine Similarity Measure and Its Application in Pattern Recognition |
| title_sort | intuitionistic fuzzy linguistic cosine similarity measure and its application in pattern recognition |
| url | http://dx.doi.org/10.1155/2018/9073597 |
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