A New Pre-Order Relation for Set Optimization using l-difference
A new relation on the subset of the space is defined via l-difference in this work. This is a pre-order relation on the family of nonempty sets. Some relations between this pre-order relation and well-known order relations are investigated. Also, solution points of a set-valued optimization problem...
| Main Author: | |
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| Format: | Article |
| Language: | English |
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Emrah Evren KARA
2021-09-01
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| Series: | Communications in Advanced Mathematical Sciences |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/1840633 |
| _version_ | 1797294195597115392 |
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| author | Emrah Karaman |
| author_facet | Emrah Karaman |
| author_sort | Emrah Karaman |
| collection | DOAJ |
| description | A new relation on the subset of the space is defined via l-difference in this work. This is a pre-order relation on the family of nonempty sets. Some relations between this pre-order relation and well-known order relations are investigated. Also, solution points of a set-valued optimization problem via set and vector approaches are examined. |
| first_indexed | 2024-03-07T21:26:45Z |
| format | Article |
| id | doaj.art-47b1556f40524126a738bcce0f416e5c |
| institution | Directory Open Access Journal |
| issn | 2651-4001 |
| language | English |
| last_indexed | 2024-03-07T21:26:45Z |
| publishDate | 2021-09-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Communications in Advanced Mathematical Sciences |
| spelling | doaj.art-47b1556f40524126a738bcce0f416e5c2024-02-27T04:36:36ZengEmrah Evren KARACommunications in Advanced Mathematical Sciences2651-40012021-09-014316317010.33434/cams.9567961225A New Pre-Order Relation for Set Optimization using l-differenceEmrah Karaman0KARABÜK ÜNİVERSİTESİA new relation on the subset of the space is defined via l-difference in this work. This is a pre-order relation on the family of nonempty sets. Some relations between this pre-order relation and well-known order relations are investigated. Also, solution points of a set-valued optimization problem via set and vector approaches are examined.https://dergipark.org.tr/tr/download/article-file/1840633pre-order relationset optimizationvector approach |
| spellingShingle | Emrah Karaman A New Pre-Order Relation for Set Optimization using l-difference Communications in Advanced Mathematical Sciences pre-order relation set optimization vector approach |
| title | A New Pre-Order Relation for Set Optimization using l-difference |
| title_full | A New Pre-Order Relation for Set Optimization using l-difference |
| title_fullStr | A New Pre-Order Relation for Set Optimization using l-difference |
| title_full_unstemmed | A New Pre-Order Relation for Set Optimization using l-difference |
| title_short | A New Pre-Order Relation for Set Optimization using l-difference |
| title_sort | new pre order relation for set optimization using l difference |
| topic | pre-order relation set optimization vector approach |
| url | https://dergipark.org.tr/tr/download/article-file/1840633 |
| work_keys_str_mv | AT emrahkaraman anewpreorderrelationforsetoptimizationusingldifference AT emrahkaraman newpreorderrelationforsetoptimizationusingldifference |