gH-Symmetrically Derivative of Interval-Valued Functions and Applications in Interval-Valued Optimization
In this paper, we present the gH-symmetrical derivative of interval-valued functions and its properties. In application, we apply this new derivative to investigate the Karush−Kuhn−Tucker (KKT) conditions of interval-valued optimization problems. Meanwhile, some examples are work...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2019-09-01
|
| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/11/10/1203 |
| _version_ | 1817993448685305856 |
|---|---|
| author | Yating Guo Guoju Ye Dafang Zhao Wei Liu |
| author_facet | Yating Guo Guoju Ye Dafang Zhao Wei Liu |
| author_sort | Yating Guo |
| collection | DOAJ |
| description | In this paper, we present the gH-symmetrical derivative of interval-valued functions and its properties. In application, we apply this new derivative to investigate the Karush−Kuhn−Tucker (KKT) conditions of interval-valued optimization problems. Meanwhile, some examples are worked out to illuminate the obtained results. |
| first_indexed | 2024-04-14T01:39:03Z |
| format | Article |
| id | doaj.art-f374d92a9695440793e9b454f9f79da4 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-14T01:39:03Z |
| publishDate | 2019-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-f374d92a9695440793e9b454f9f79da42022-12-22T02:19:50ZengMDPI AGSymmetry2073-89942019-09-011110120310.3390/sym11101203sym11101203gH-Symmetrically Derivative of Interval-Valued Functions and Applications in Interval-Valued OptimizationYating Guo0Guoju Ye1Dafang Zhao2Wei Liu3College of Science, Hohai University, Nanjing 210098, ChinaCollege of Science, Hohai University, Nanjing 210098, ChinaCollege of Science, Hohai University, Nanjing 210098, ChinaCollege of Science, Hohai University, Nanjing 210098, ChinaIn this paper, we present the gH-symmetrical derivative of interval-valued functions and its properties. In application, we apply this new derivative to investigate the Karush−Kuhn−Tucker (KKT) conditions of interval-valued optimization problems. Meanwhile, some examples are worked out to illuminate the obtained results.https://www.mdpi.com/2073-8994/11/10/1203interval-valued functionsgh-symmetrically derivativekkt optimality conditions |
| spellingShingle | Yating Guo Guoju Ye Dafang Zhao Wei Liu gH-Symmetrically Derivative of Interval-Valued Functions and Applications in Interval-Valued Optimization Symmetry interval-valued functions gh-symmetrically derivative kkt optimality conditions |
| title | gH-Symmetrically Derivative of Interval-Valued Functions and Applications in Interval-Valued Optimization |
| title_full | gH-Symmetrically Derivative of Interval-Valued Functions and Applications in Interval-Valued Optimization |
| title_fullStr | gH-Symmetrically Derivative of Interval-Valued Functions and Applications in Interval-Valued Optimization |
| title_full_unstemmed | gH-Symmetrically Derivative of Interval-Valued Functions and Applications in Interval-Valued Optimization |
| title_short | gH-Symmetrically Derivative of Interval-Valued Functions and Applications in Interval-Valued Optimization |
| title_sort | gh symmetrically derivative of interval valued functions and applications in interval valued optimization |
| topic | interval-valued functions gh-symmetrically derivative kkt optimality conditions |
| url | https://www.mdpi.com/2073-8994/11/10/1203 |
| work_keys_str_mv | AT yatingguo ghsymmetricallyderivativeofintervalvaluedfunctionsandapplicationsinintervalvaluedoptimization AT guojuye ghsymmetricallyderivativeofintervalvaluedfunctionsandapplicationsinintervalvaluedoptimization AT dafangzhao ghsymmetricallyderivativeofintervalvaluedfunctionsandapplicationsinintervalvaluedoptimization AT weiliu ghsymmetricallyderivativeofintervalvaluedfunctionsandapplicationsinintervalvaluedoptimization |