| Project/Area Number |
25400205
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Foundations of mathematics/Applied mathematics
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| Research Institution | Shimane University |
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Principal Investigator |
Kuroiwa Daishi 島根大学, 総合理工学研究科(研究院), 教授 (40284020)
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| Co-Investigator(Renkei-kenkyūsha) |
YAMAUCHI Takamitsu 愛媛大学, 理工学研究科, 准教授 (00403444)
MATSUSHITA Shin-ya 秋田県立大学, システム科学技術学部, 准教授 (20435449)
TANAKA Tamaki 新潟大学, 自然科学系, 教授 (10207110)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | 集合値計画法 / 統一的評価基準 / 埋め込み / 制約想定 / 最適性条件 / 双対理論 / 数理計画法 |
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| Outline of Final Research Achievements |
Set-valued optimization problems are represented by using set-valued functions as objective and constraint functions in order to express various ideas in the real world. The study of set-valued optimization problems is required in the sense of theory and applications. However there are mainly two types of criteria of the solutions of the problem, l and u-types criteria, and also there is another s-type criterion.
In this study, we give a unified framework for such various criteria including l, u, and s-types ones, and we observed the existence of solutions of the problems, generalized notions of convexity for set-valued maps, applications for vector-optimization problems with uncertainty, and so on.
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