A Parameter-tunable Triangular Norm with Monotonic Genes
In order to study the optimization of Zadeh operator, a definition of parameter-tunable triangular norm with monotonic genes is given.First, we defined a kind of triangular norm Fλin the general sense generated by monotone functions using elementary operations, and then a definition of triangular...
| 出版年: | Journal of Harbin University of Science and Technology |
|---|---|
| 主要な著者: | , , |
| フォーマット: | 論文 |
| 言語: | 中国語 |
| 出版事項: |
Harbin University of Science and Technology Publications
2023-02-01
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| 主題: | |
| オンライン･アクセス: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2188 |
| _version_ | 1849489991665713152 |
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| author | WU Lunhua ZHAO Hui WANG Yue |
| author_facet | WU Lunhua ZHAO Hui WANG Yue |
| author_sort | WU Lunhua |
| collection | DOAJ |
| container_title | Journal of Harbin University of Science and Technology |
| description |
In order to study the optimization of Zadeh operator, a definition of parameter-tunable triangular norm with monotonic genes is given.First, we defined a kind of triangular norm Fλin the general sense generated by monotone functions using elementary operations, and then a definition of triangular conorm Gλin the general sense is given by using duality.This type of definition unifies the optimal Zadeh operator proposed by some authors.Next, this definition is applied to generate a new pair of triangular norms. It is proved that the triangular norm and triangular conorm conditions are satisfied to verify the feasibility of the definition for constructing fuzzy operators, which gives new direction in the construction of triangular norms.Finally, we studied the variation of some operators parameter tuning and the relationship with the Zadeh operator.Fλand Gλmake the intersection and merging of fuzzy sets more reasonable, and the data usage more efficient to avoid information loss.On the basis of triangular conorm Gλ, the definition and theorem of g-λmeasure are given, which enriches the theory of fuzzy measure. |
| format | Article |
| id | doaj-art-c41b3ee5576d44a59265f8a7aa6bfa3a |
| institution | Directory of Open Access Journals |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2023-02-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| spelling | doaj-art-c41b3ee5576d44a59265f8a7aa6bfa3a2025-08-20T03:08:32ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832023-02-01280114615310.15938/j.jhust.2023.01.018A Parameter-tunable Triangular Norm with Monotonic GenesWU Lunhua0ZHAO Hui1WANG Yue2College of Science，Harbin University of Science and Technology，Harbin 150080，ChinaCollege of Science，Harbin University of Science and Technology，Harbin 150080，ChinaCollege of Science，Harbin University of Science and Technology，Harbin 150080，China In order to study the optimization of Zadeh operator, a definition of parameter-tunable triangular norm with monotonic genes is given.First, we defined a kind of triangular norm Fλin the general sense generated by monotone functions using elementary operations, and then a definition of triangular conorm Gλin the general sense is given by using duality.This type of definition unifies the optimal Zadeh operator proposed by some authors.Next, this definition is applied to generate a new pair of triangular norms. It is proved that the triangular norm and triangular conorm conditions are satisfied to verify the feasibility of the definition for constructing fuzzy operators, which gives new direction in the construction of triangular norms.Finally, we studied the variation of some operators parameter tuning and the relationship with the Zadeh operator.Fλand Gλmake the intersection and merging of fuzzy sets more reasonable, and the data usage more efficient to avoid information loss.On the basis of triangular conorm Gλ, the definition and theorem of g-λmeasure are given, which enriches the theory of fuzzy measure.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2188triangular normtriangular conormzadeh operatorfuzzy measure |
| spellingShingle | WU Lunhua ZHAO Hui WANG Yue A Parameter-tunable Triangular Norm with Monotonic Genes triangular norm triangular conorm zadeh operator fuzzy measure |
| title | A Parameter-tunable Triangular Norm with Monotonic Genes |
| title_full | A Parameter-tunable Triangular Norm with Monotonic Genes |
| title_fullStr | A Parameter-tunable Triangular Norm with Monotonic Genes |
| title_full_unstemmed | A Parameter-tunable Triangular Norm with Monotonic Genes |
| title_short | A Parameter-tunable Triangular Norm with Monotonic Genes |
| title_sort | parameter tunable triangular norm with monotonic genes |
| topic | triangular norm triangular conorm zadeh operator fuzzy measure |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2188 |
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