New Similarity of Triangular Fuzzy Number and Its Application
The similarity of triangular fuzzy numbers is an important metric for application of it. There exist several approaches to measure similarity of triangular fuzzy numbers. However, some of them are opt to be large. To make the similarity well distributed, a new method SIAM (Shape’s Indifferent Area a...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/215047 |
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| _version_ | 1832562647015358464 |
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| author | Xixiang Zhang Weimin Ma Liping Chen |
| author_facet | Xixiang Zhang Weimin Ma Liping Chen |
| author_sort | Xixiang Zhang |
| collection | DOAJ |
| description | The similarity of triangular fuzzy numbers is an important metric for application of it. There exist several approaches to measure similarity of triangular fuzzy numbers. However, some of them are opt to be large. To make the similarity well distributed, a new method SIAM (Shape’s Indifferent Area and Midpoint) to measure triangular fuzzy number is put forward, which takes the shape’s indifferent area and midpoint of two triangular fuzzy numbers into consideration. Comparison with other similarity measurements shows the effectiveness of the proposed method. Then, it is applied to collaborative filtering recommendation to measure users’ similarity. A collaborative filtering case is used to illustrate users’ similarity based on cloud model and triangular fuzzy number; the result indicates that users’ similarity based on triangular fuzzy number can obtain better discrimination. Finally, a simulated collaborative filtering recommendation system is developed which uses cloud model and triangular fuzzy number to express users’ comprehensive evaluation on items, and result shows that the accuracy of collaborative filtering recommendation based on triangular fuzzy number is higher. |
| format | Article |
| id | doaj-art-f8b7c451344143f9868839d85dc9265a |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-f8b7c451344143f9868839d85dc9265a2025-02-03T01:22:15ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/215047215047New Similarity of Triangular Fuzzy Number and Its ApplicationXixiang Zhang0Weimin Ma1Liping Chen2Business & Management School, Tongji University, Shanghai 200092, ChinaBusiness & Management School, Tongji University, Shanghai 200092, ChinaJiaxing University, Jiaxing 314001, ChinaThe similarity of triangular fuzzy numbers is an important metric for application of it. There exist several approaches to measure similarity of triangular fuzzy numbers. However, some of them are opt to be large. To make the similarity well distributed, a new method SIAM (Shape’s Indifferent Area and Midpoint) to measure triangular fuzzy number is put forward, which takes the shape’s indifferent area and midpoint of two triangular fuzzy numbers into consideration. Comparison with other similarity measurements shows the effectiveness of the proposed method. Then, it is applied to collaborative filtering recommendation to measure users’ similarity. A collaborative filtering case is used to illustrate users’ similarity based on cloud model and triangular fuzzy number; the result indicates that users’ similarity based on triangular fuzzy number can obtain better discrimination. Finally, a simulated collaborative filtering recommendation system is developed which uses cloud model and triangular fuzzy number to express users’ comprehensive evaluation on items, and result shows that the accuracy of collaborative filtering recommendation based on triangular fuzzy number is higher.http://dx.doi.org/10.1155/2014/215047 |
| spellingShingle | Xixiang Zhang Weimin Ma Liping Chen New Similarity of Triangular Fuzzy Number and Its Application The Scientific World Journal |
| title | New Similarity of Triangular Fuzzy Number and Its Application |
| title_full | New Similarity of Triangular Fuzzy Number and Its Application |
| title_fullStr | New Similarity of Triangular Fuzzy Number and Its Application |
| title_full_unstemmed | New Similarity of Triangular Fuzzy Number and Its Application |
| title_short | New Similarity of Triangular Fuzzy Number and Its Application |
| title_sort | new similarity of triangular fuzzy number and its application |
| url | http://dx.doi.org/10.1155/2014/215047 |
| work_keys_str_mv | AT xixiangzhang newsimilarityoftriangularfuzzynumberanditsapplication AT weiminma newsimilarityoftriangularfuzzynumberanditsapplication AT lipingchen newsimilarityoftriangularfuzzynumberanditsapplication |