A Further Research on S-core for Interval Cooperative Games
Interval cooperative game is a kind of model focusing on how to distribute the profit reasonably when payoffs of any alliance are interval numbers. In recent years, the existence and reasonableness of its solution have aroused widespread concern. In this paper, based on the conceptual analyses of va...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2015-04-01
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| Series: | International Journal of Computational Intelligence Systems |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/25868598.pdf |
| _version_ | 1811301379100114944 |
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| author | Dengyuan Xie Fei Guan Qiang Zhang |
| author_facet | Dengyuan Xie Fei Guan Qiang Zhang |
| author_sort | Dengyuan Xie |
| collection | DOAJ |
| description | Interval cooperative game is a kind of model focusing on how to distribute the profit reasonably when payoffs of any alliance are interval numbers. In recent years, the existence and reasonableness of its solution have aroused widespread concern. In this paper, based on the conceptual analyses of various solutions of interval cooperative games, S-core is further researched. The concepts of weak balanced interval cooperative games and minimal weak balanced interval cooperative games are firstly proposed. The necessary and sufficient condition which guarantees S-core is nonempty is proven, furthermore, the inequalities can be simplified on the condition that the left endpoints of interval numbers satisfy the superadditivity. Then this paper analyzes the whole solution space of S-core and the solution method of S-core is converted into the method solving a linear programming problem. After that the concept of S-dominance core is put forward and the equivalent conditions of S-core and S-dominance core are proved. Finally, the reasonableness and validity of S-core are verified through a specific example. |
| first_indexed | 2024-04-13T07:07:48Z |
| format | Article |
| id | doaj.art-8ce9030c321e4a9f8b2aa7854b0c78f5 |
| institution | Directory Open Access Journal |
| issn | 1875-6883 |
| language | English |
| last_indexed | 2024-04-13T07:07:48Z |
| publishDate | 2015-04-01 |
| publisher | Springer |
| record_format | Article |
| series | International Journal of Computational Intelligence Systems |
| spelling | doaj.art-8ce9030c321e4a9f8b2aa7854b0c78f52022-12-22T02:56:57ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832015-04-018210.1080/18756891.2015.1001953A Further Research on S-core for Interval Cooperative GamesDengyuan XieFei GuanQiang ZhangInterval cooperative game is a kind of model focusing on how to distribute the profit reasonably when payoffs of any alliance are interval numbers. In recent years, the existence and reasonableness of its solution have aroused widespread concern. In this paper, based on the conceptual analyses of various solutions of interval cooperative games, S-core is further researched. The concepts of weak balanced interval cooperative games and minimal weak balanced interval cooperative games are firstly proposed. The necessary and sufficient condition which guarantees S-core is nonempty is proven, furthermore, the inequalities can be simplified on the condition that the left endpoints of interval numbers satisfy the superadditivity. Then this paper analyzes the whole solution space of S-core and the solution method of S-core is converted into the method solving a linear programming problem. After that the concept of S-dominance core is put forward and the equivalent conditions of S-core and S-dominance core are proved. Finally, the reasonableness and validity of S-core are verified through a specific example.https://www.atlantis-press.com/article/25868598.pdfInterval cooperative gameS-corebalanced collectionminimal weak balanced interval cooperative game |
| spellingShingle | Dengyuan Xie Fei Guan Qiang Zhang A Further Research on S-core for Interval Cooperative Games International Journal of Computational Intelligence Systems Interval cooperative game S-core balanced collection minimal weak balanced interval cooperative game |
| title | A Further Research on S-core for Interval Cooperative Games |
| title_full | A Further Research on S-core for Interval Cooperative Games |
| title_fullStr | A Further Research on S-core for Interval Cooperative Games |
| title_full_unstemmed | A Further Research on S-core for Interval Cooperative Games |
| title_short | A Further Research on S-core for Interval Cooperative Games |
| title_sort | further research on s core for interval cooperative games |
| topic | Interval cooperative game S-core balanced collection minimal weak balanced interval cooperative game |
| url | https://www.atlantis-press.com/article/25868598.pdf |
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