| 来源类型 | Monograph (IIASA Working Paper) |
| 规范类型 | 论文 |
| Consideration on Supremum in a Multidimensional Space and Conjugate Duality in Multiobjective Optimization. | |
| Tanino T | |
| 发表日期 | 1985 |
| 出版者 | IIASA, Laxenburg, Austria: WP-85-081 |
| 出版年 | 1985 |
| 语种 | 英语 |
| 摘要 | The first part of this paper is devoted to consideration on the definition of "supremum" in a multi-dimensional Euclidean space. A desirable definition is looked for among several possible alternatives. In the second part conjugate duality in multiobjective optimization is developed. Supremum is defined in the extended multi-dimensional Euclidean space on the basis of consideration in the first part. Some useful concepts such as conjugate maps and subgradients are introduced for vector-valued set-valued maps. Finally a strong duality result for a multiobjective optimization problem is proved under a regularity condition. |
| 主题 | System and Decision Sciences - Core (SDS) |
| URL | http://pure.iiasa.ac.at/id/eprint/2622/ |
| 来源智库 | International Institute for Applied Systems Analysis (Austria) |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/123155 |
| 推荐引用方式 GB/T 7714 | Tanino T. Consideration on Supremum in a Multidimensional Space and Conjugate Duality in Multiobjective Optimization.. 1985. |
| 条目包含的文件 | ||||||
| 文件名称/大小 | 资源类型 | 版本类型 | 开放类型 | 使用许可 | ||
| WP-85-081.pdf（627KB） | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 | ||
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