Similarity Measures between Temporal Complex Intuitionistic Fuzzy Sets and Application in Pattern Recognition and Medical Diagnosis
This work addresses the issue of similarity measures between two temporal complex Atanassov’s intuitionistic fuzzy sets, many measures of similarity between complex Atanassov’s intuitionistic fuzzy sets. What was proposed before did not consider the abstention group influence, which may lead to coun...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2019/3246439 |
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| _version_ | 1832558065443930112 |
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| author | Mohammed M. Khalaf Sayer Obaid Alharbi Wathek Chammam |
| author_facet | Mohammed M. Khalaf Sayer Obaid Alharbi Wathek Chammam |
| author_sort | Mohammed M. Khalaf |
| collection | DOAJ |
| description | This work addresses the issue of similarity measures between two temporal complex Atanassov’s intuitionistic fuzzy sets, many measures of similarity between complex Atanassov’s intuitionistic fuzzy sets. What was proposed before did not consider the abstention group influence, which may lead to counterintuitive results in some cases. A new structure of temporal complex Atanassov’s intuitionistic fuzzy sets is obtained. This set is formally generalized from a conventional Atanassov’s intuitionistic complex fuzzy sets. Here we analyze the limitations of the existing similarity measures. Then, a new similarity measure of temporal complex Atanassov’s intuitionistic fuzzy sets is proposed and several numeric examples are given to demonstrate the validity of the proposed measure. Finally, the proposed similarity measure is applied to pattern recognition and medical diagnosis. |
| format | Article |
| id | doaj-art-d0e6c305dfb948fd941af898a2e85fb0 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d0e6c305dfb948fd941af898a2e85fb02025-02-03T01:33:25ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/32464393246439Similarity Measures between Temporal Complex Intuitionistic Fuzzy Sets and Application in Pattern Recognition and Medical DiagnosisMohammed M. Khalaf0Sayer Obaid Alharbi1Wathek Chammam2Higher Institute of Engineering and Technology King Marriott, P.O. Box 3135, EgyptDepartment of Mathematics, College of Science Al-Zulfi, Al-Majmaah University, P.O. Box 66, Al-Majmaah 11952, Saudi ArabiaDepartment of Mathematics, Faculty of Sciences of Gabès, Gabès University, Gabès, TunisiaThis work addresses the issue of similarity measures between two temporal complex Atanassov’s intuitionistic fuzzy sets, many measures of similarity between complex Atanassov’s intuitionistic fuzzy sets. What was proposed before did not consider the abstention group influence, which may lead to counterintuitive results in some cases. A new structure of temporal complex Atanassov’s intuitionistic fuzzy sets is obtained. This set is formally generalized from a conventional Atanassov’s intuitionistic complex fuzzy sets. Here we analyze the limitations of the existing similarity measures. Then, a new similarity measure of temporal complex Atanassov’s intuitionistic fuzzy sets is proposed and several numeric examples are given to demonstrate the validity of the proposed measure. Finally, the proposed similarity measure is applied to pattern recognition and medical diagnosis.http://dx.doi.org/10.1155/2019/3246439 |
| spellingShingle | Mohammed M. Khalaf Sayer Obaid Alharbi Wathek Chammam Similarity Measures between Temporal Complex Intuitionistic Fuzzy Sets and Application in Pattern Recognition and Medical Diagnosis Discrete Dynamics in Nature and Society |
| title | Similarity Measures between Temporal Complex Intuitionistic Fuzzy Sets and Application in Pattern Recognition and Medical Diagnosis |
| title_full | Similarity Measures between Temporal Complex Intuitionistic Fuzzy Sets and Application in Pattern Recognition and Medical Diagnosis |
| title_fullStr | Similarity Measures between Temporal Complex Intuitionistic Fuzzy Sets and Application in Pattern Recognition and Medical Diagnosis |
| title_full_unstemmed | Similarity Measures between Temporal Complex Intuitionistic Fuzzy Sets and Application in Pattern Recognition and Medical Diagnosis |
| title_short | Similarity Measures between Temporal Complex Intuitionistic Fuzzy Sets and Application in Pattern Recognition and Medical Diagnosis |
| title_sort | similarity measures between temporal complex intuitionistic fuzzy sets and application in pattern recognition and medical diagnosis |
| url | http://dx.doi.org/10.1155/2019/3246439 |
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