2009 Fiscal Year Final Research Report
A notions of directional derivative for set-valued maps on set optimization programming and its applications
| Project/Area Number |
19540130
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Shimane University |
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Principal Investigator |
KUROIWA Daishi Shimane University, 総合理工学部, 准教授 (40284020)
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| Co-Investigator(Renkei-kenkyūsha) |
TANAKA Tamaki 新潟大学, 自然科学系, 教授 (10207110)
YAMAUCHI Takamitsu 島根大学, 総合理工学部, 講師 (00403444)
MATSUSHITA Shin-ya 秋田県立大学, システム科学技術学部, 助教 (20435449)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 集合値最適化 / 微分概念 / 多目的最適化 / 数理計画法 / 集合値計画法 |
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| Research Abstract |
We study optimization problems whose objective maps are set-valued maps based on criteria called 'set optimization.' We introduce a quotient space of a family of sets with an equivalence relation, we show the set optimization problems are embedded in the space, and we consider methodology to find solutions.
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