Non-Emptiness, Relative Coincidences and Axiomatic Results for the Precore
Taking into account the definition of the precore, we initially analyze its non-emptiness using duality results from linear programming theory. We then introduce the dominance core to investigate the coincident relations between the precore and dominance core. Finally, we propose specific reduction...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/13/2812 |
| _version_ | 1827734857904553984 |
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| author | Yan-An Hwang Yu-Hsien Liao |
| author_facet | Yan-An Hwang Yu-Hsien Liao |
| author_sort | Yan-An Hwang |
| collection | DOAJ |
| description | Taking into account the definition of the precore, we initially analyze its non-emptiness using duality results from linear programming theory. We then introduce the dominance core to investigate the coincident relations between the precore and dominance core. Finally, we propose specific reduction approaches to axiomatize the precore. |
| first_indexed | 2024-03-11T01:35:18Z |
| format | Article |
| id | doaj.art-7e6a88d3c3f743a4a54df618f1d43f14 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T01:35:18Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-7e6a88d3c3f743a4a54df618f1d43f142023-11-18T17:01:42ZengMDPI AGMathematics2227-73902023-06-011113281210.3390/math11132812Non-Emptiness, Relative Coincidences and Axiomatic Results for the PrecoreYan-An Hwang0Yu-Hsien Liao1Department of Applied Mathematics, National Dong Hwa University, Hualien 974, TaiwanDepartment of Applied Mathematics, National Pingtung University, Pingtung 900, TaiwanTaking into account the definition of the precore, we initially analyze its non-emptiness using duality results from linear programming theory. We then introduce the dominance core to investigate the coincident relations between the precore and dominance core. Finally, we propose specific reduction approaches to axiomatize the precore.https://www.mdpi.com/2227-7390/11/13/2812the precorethe dominance corenon-emptinessreduction |
| spellingShingle | Yan-An Hwang Yu-Hsien Liao Non-Emptiness, Relative Coincidences and Axiomatic Results for the Precore Mathematics the precore the dominance core non-emptiness reduction |
| title | Non-Emptiness, Relative Coincidences and Axiomatic Results for the Precore |
| title_full | Non-Emptiness, Relative Coincidences and Axiomatic Results for the Precore |
| title_fullStr | Non-Emptiness, Relative Coincidences and Axiomatic Results for the Precore |
| title_full_unstemmed | Non-Emptiness, Relative Coincidences and Axiomatic Results for the Precore |
| title_short | Non-Emptiness, Relative Coincidences and Axiomatic Results for the Precore |
| title_sort | non emptiness relative coincidences and axiomatic results for the precore |
| topic | the precore the dominance core non-emptiness reduction |
| url | https://www.mdpi.com/2227-7390/11/13/2812 |
| work_keys_str_mv | AT yananhwang nonemptinessrelativecoincidencesandaxiomaticresultsfortheprecore AT yuhsienliao nonemptinessrelativecoincidencesandaxiomaticresultsfortheprecore |