Implementation of Steiner Point of Fuzzy Set
This paper deals with the implementation of Steiner point of fuzzy set. Some definitions and properties of Steiner point are investigated and extended to fuzzy set. This paper focuses on establishing efficient methods to compute Steiner point of fuzzy set. Two strategies of computing Steiner point o...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/593065 |
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| _version_ | 1832564184295931904 |
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| author | Jiuzhen Liang Dejiang Wang |
| author_facet | Jiuzhen Liang Dejiang Wang |
| author_sort | Jiuzhen Liang |
| collection | DOAJ |
| description | This paper deals with the implementation of Steiner point of fuzzy set. Some definitions and properties of Steiner point are investigated and extended to fuzzy set. This paper focuses on establishing efficient methods to compute Steiner point of fuzzy set. Two strategies of computing Steiner point of fuzzy set are proposed. One is called linear combination of Steiner points computed by a series of crisp α-cut sets of the fuzzy set. The other is an approximate method, which is trying to find the optimal α-cut set approaching the fuzzy set. Stability analysis of Steiner point of fuzzy set is also studied. Some experiments on image processing are given, in which the two methods are applied for implementing Steiner point of fuzzy image, and both strategies show their own advantages in computing Steiner point of fuzzy set. |
| format | Article |
| id | doaj-art-3ee45c618e544c938cdac67522163816 |
| 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-3ee45c618e544c938cdac675221638162025-02-03T01:11:35ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/593065593065Implementation of Steiner Point of Fuzzy SetJiuzhen Liang0Dejiang Wang1Department of Computer Science, Jiangnan University, Wuxi, Jiangsu 214122, ChinaDepartment of Computer Science, Jiangnan University, Wuxi, Jiangsu 214122, ChinaThis paper deals with the implementation of Steiner point of fuzzy set. Some definitions and properties of Steiner point are investigated and extended to fuzzy set. This paper focuses on establishing efficient methods to compute Steiner point of fuzzy set. Two strategies of computing Steiner point of fuzzy set are proposed. One is called linear combination of Steiner points computed by a series of crisp α-cut sets of the fuzzy set. The other is an approximate method, which is trying to find the optimal α-cut set approaching the fuzzy set. Stability analysis of Steiner point of fuzzy set is also studied. Some experiments on image processing are given, in which the two methods are applied for implementing Steiner point of fuzzy image, and both strategies show their own advantages in computing Steiner point of fuzzy set.http://dx.doi.org/10.1155/2014/593065 |
| spellingShingle | Jiuzhen Liang Dejiang Wang Implementation of Steiner Point of Fuzzy Set The Scientific World Journal |
| title | Implementation of Steiner Point of Fuzzy Set |
| title_full | Implementation of Steiner Point of Fuzzy Set |
| title_fullStr | Implementation of Steiner Point of Fuzzy Set |
| title_full_unstemmed | Implementation of Steiner Point of Fuzzy Set |
| title_short | Implementation of Steiner Point of Fuzzy Set |
| title_sort | implementation of steiner point of fuzzy set |
| url | http://dx.doi.org/10.1155/2014/593065 |
| work_keys_str_mv | AT jiuzhenliang implementationofsteinerpointoffuzzyset AT dejiangwang implementationofsteinerpointoffuzzyset |