Two Identification Methods for a Nonlinear Membership Function
This paper proposes two parameter identification methods for a nonlinear membership function. An equation converted method is introduced to turn the nonlinear function into a concise model. Then a stochastic gradient algorithm and a gradient-based iterative algorithm are provided to estimate the unk...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/5515888 |
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| _version_ | 1832549955145826304 |
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| author | Yuejiang Ji Lixin Lv |
| author_facet | Yuejiang Ji Lixin Lv |
| author_sort | Yuejiang Ji |
| collection | DOAJ |
| description | This paper proposes two parameter identification methods for a nonlinear membership function. An equation converted method is introduced to turn the nonlinear function into a concise model. Then a stochastic gradient algorithm and a gradient-based iterative algorithm are provided to estimate the unknown parameters of the nonlinear function. The numerical example shows that the proposed algorithms are effective. |
| format | Article |
| id | doaj-art-a368e8e82871434bb13f1c860d83cfcc |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-a368e8e82871434bb13f1c860d83cfcc2025-02-03T06:08:08ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/55158885515888Two Identification Methods for a Nonlinear Membership FunctionYuejiang Ji0Lixin Lv1Wuxi Vocational College of Science and Technology, Wuxi 214122, ChinaWuxi Vocational College of Science and Technology, Wuxi 214122, ChinaThis paper proposes two parameter identification methods for a nonlinear membership function. An equation converted method is introduced to turn the nonlinear function into a concise model. Then a stochastic gradient algorithm and a gradient-based iterative algorithm are provided to estimate the unknown parameters of the nonlinear function. The numerical example shows that the proposed algorithms are effective.http://dx.doi.org/10.1155/2021/5515888 |
| spellingShingle | Yuejiang Ji Lixin Lv Two Identification Methods for a Nonlinear Membership Function Complexity |
| title | Two Identification Methods for a Nonlinear Membership Function |
| title_full | Two Identification Methods for a Nonlinear Membership Function |
| title_fullStr | Two Identification Methods for a Nonlinear Membership Function |
| title_full_unstemmed | Two Identification Methods for a Nonlinear Membership Function |
| title_short | Two Identification Methods for a Nonlinear Membership Function |
| title_sort | two identification methods for a nonlinear membership function |
| url | http://dx.doi.org/10.1155/2021/5515888 |
| work_keys_str_mv | AT yuejiangji twoidentificationmethodsforanonlinearmembershipfunction AT lixinlv twoidentificationmethodsforanonlinearmembershipfunction |