Convergence of Complex Fuzzy一valued Function Defined in Complex Fuzzy Number
The author defines all fuzzy number which are symmetric respect to y-axis as zero fuzzy number，on the basis，the author defines the limitation of complex fuzzy-valued function and discusses the properties of convergence. This eater obtains a series of results about limited complex fuzzy -valued funct...
| Main Authors: | , , |
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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2017-02-01
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| Series: | Journal of Harbin University of Science and Technology |
| Subjects: |
| _version_ | 1818034785723875328 |
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| author | BI Shu-juan XU Ya-Lan CAO Hui |
| author_facet | BI Shu-juan XU Ya-Lan CAO Hui |
| author_sort | BI Shu-juan |
| collection | DOAJ |
| description | The author defines all fuzzy number which are symmetric respect to y-axis as zero fuzzy number，on the basis，the author defines the limitation of complex fuzzy-valued function and discusses the properties of convergence. This eater obtains a series of results about limited complex fuzzy -valued function，including the limitation of complex fuzzy-valued function is unique，the limited complex fuzzy-valued function has local boundedness and local protection，as well as the linear operation properties of the limitation. Furthermore，the convergence criterion and the Cauchy convergence criterion of complex fuzzy-valued function are given. In this paper，it is shown that the complex fuzzy-valued function is defined in a complex fuzzy set F( C)which valued the complex fuzzy number in F( C)(set of all complex fuzzy number ). |
| first_indexed | 2024-12-10T06:44:41Z |
| format | Article |
| id | doaj.art-0f244bfcf0504d6993e9859822d9f11a |
| institution | Directory Open Access Journal |
| issn | 1007-2683 |
| language | zho |
| last_indexed | 2024-12-10T06:44:41Z |
| publishDate | 2017-02-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj.art-0f244bfcf0504d6993e9859822d9f11a2022-12-22T01:58:42ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832017-02-0113614010.15938/j.jhust.2017.01.024Convergence of Complex Fuzzy一valued Function Defined in Complex Fuzzy NumberBI Shu-juan XU Ya-LanCAO HuiThe author defines all fuzzy number which are symmetric respect to y-axis as zero fuzzy number，on the basis，the author defines the limitation of complex fuzzy-valued function and discusses the properties of convergence. This eater obtains a series of results about limited complex fuzzy -valued function，including the limitation of complex fuzzy-valued function is unique，the limited complex fuzzy-valued function has local boundedness and local protection，as well as the linear operation properties of the limitation. Furthermore，the convergence criterion and the Cauchy convergence criterion of complex fuzzy-valued function are given. In this paper，it is shown that the complex fuzzy-valued function is defined in a complex fuzzy set F( C)which valued the complex fuzzy number in F( C)(set of all complex fuzzy number ).fuzzy number; complex fuzzy number; complex fuzzy-valued function |
| spellingShingle | BI Shu-juan XU Ya-Lan CAO Hui Convergence of Complex Fuzzy一valued Function Defined in Complex Fuzzy Number Journal of Harbin University of Science and Technology fuzzy number; complex fuzzy number; complex fuzzy-valued function |
| title | Convergence of Complex Fuzzy一valued Function Defined in Complex Fuzzy Number |
| title_full | Convergence of Complex Fuzzy一valued Function Defined in Complex Fuzzy Number |
| title_fullStr | Convergence of Complex Fuzzy一valued Function Defined in Complex Fuzzy Number |
| title_full_unstemmed | Convergence of Complex Fuzzy一valued Function Defined in Complex Fuzzy Number |
| title_short | Convergence of Complex Fuzzy一valued Function Defined in Complex Fuzzy Number |
| title_sort | convergence of complex fuzzy一valued function defined in complex fuzzy number |
| topic | fuzzy number; complex fuzzy number; complex fuzzy-valued function |
| work_keys_str_mv | AT bishujuan convergenceofcomplexfuzzyyīvaluedfunctiondefinedincomplexfuzzynumber AT xuyalan convergenceofcomplexfuzzyyīvaluedfunctiondefinedincomplexfuzzynumber AT caohui convergenceofcomplexfuzzyyīvaluedfunctiondefinedincomplexfuzzynumber |