On robust approximate optimal solutions for fractional semi-infinite optimization with uncertainty data
Abstract This paper provides some new results on robust approximate optimal solutions of a fractional semi-infinite optimization problem under uncertainty data in the constraint functions. By employing conjugate analysis and robust optimization approach (worst-case approach), we obtain some necessar...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-02-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-019-1997-7 |
| _version_ | 1819225657560793088 |
|---|---|
| author | Jing Zeng Peng Xu Hongyong Fu |
| author_facet | Jing Zeng Peng Xu Hongyong Fu |
| author_sort | Jing Zeng |
| collection | DOAJ |
| description | Abstract This paper provides some new results on robust approximate optimal solutions of a fractional semi-infinite optimization problem under uncertainty data in the constraint functions. By employing conjugate analysis and robust optimization approach (worst-case approach), we obtain some necessary and sufficient optimality conditions for robust approximate optimal solutions of such a fractional semi-infinite optimization problem. In addition, we state a mixed type approximate dual problem to the reference problem and obtain some robust duality properties between them. The results obtained in this paper improve the corresponding results in the literature. |
| first_indexed | 2024-12-23T10:13:05Z |
| format | Article |
| id | doaj.art-bf4ca4f3f7c64dc694e7ab1e5c6ba4e3 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-23T10:13:05Z |
| publishDate | 2019-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-bf4ca4f3f7c64dc694e7ab1e5c6ba4e32022-12-21T17:50:53ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-02-012019111610.1186/s13660-019-1997-7On robust approximate optimal solutions for fractional semi-infinite optimization with uncertainty dataJing Zeng0Peng Xu1Hongyong Fu2Chongqing Key Laboratory of Social Economy and Applied Statistics, College of Mathematics and Statistics, Chongqing Technology and Business UniversityChina Research Institute of Enterprise Governed by Law, Southwest University of Political Science and LawChina Research Institute of Enterprise Governed by Law, Southwest University of Political Science and LawAbstract This paper provides some new results on robust approximate optimal solutions of a fractional semi-infinite optimization problem under uncertainty data in the constraint functions. By employing conjugate analysis and robust optimization approach (worst-case approach), we obtain some necessary and sufficient optimality conditions for robust approximate optimal solutions of such a fractional semi-infinite optimization problem. In addition, we state a mixed type approximate dual problem to the reference problem and obtain some robust duality properties between them. The results obtained in this paper improve the corresponding results in the literature.http://link.springer.com/article/10.1186/s13660-019-1997-7Approximate optimal solutionsMixed type dualityFractional semi-infinite optimization |
| spellingShingle | Jing Zeng Peng Xu Hongyong Fu On robust approximate optimal solutions for fractional semi-infinite optimization with uncertainty data Journal of Inequalities and Applications Approximate optimal solutions Mixed type duality Fractional semi-infinite optimization |
| title | On robust approximate optimal solutions for fractional semi-infinite optimization with uncertainty data |
| title_full | On robust approximate optimal solutions for fractional semi-infinite optimization with uncertainty data |
| title_fullStr | On robust approximate optimal solutions for fractional semi-infinite optimization with uncertainty data |
| title_full_unstemmed | On robust approximate optimal solutions for fractional semi-infinite optimization with uncertainty data |
| title_short | On robust approximate optimal solutions for fractional semi-infinite optimization with uncertainty data |
| title_sort | on robust approximate optimal solutions for fractional semi infinite optimization with uncertainty data |
| topic | Approximate optimal solutions Mixed type duality Fractional semi-infinite optimization |
| url | http://link.springer.com/article/10.1186/s13660-019-1997-7 |
| work_keys_str_mv | AT jingzeng onrobustapproximateoptimalsolutionsforfractionalsemiinfiniteoptimizationwithuncertaintydata AT pengxu onrobustapproximateoptimalsolutionsforfractionalsemiinfiniteoptimizationwithuncertaintydata AT hongyongfu onrobustapproximateoptimalsolutionsforfractionalsemiinfiniteoptimizationwithuncertaintydata |