A notions of directional derivative for set-valued maps on set optimization programming and its applications
| Project/Area Number |
19540130
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
|---|
| Research Institution | Shimane University |
|---|
Principal Investigator |
KUROIWA Daishi Shimane University, 総合理工学部, 准教授 (40284020)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
田中 環 新潟大学, 自然科学系, 教授 (10207110)
松下 慎也 松江工業高等専門学校, 電子工学科, 助教 (20435449)
山内 貴光 島根大学, 総合理工学部, 教務職員 (00403444)
|
|---|
| 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)
|
|---|
| Project Period (FY) |
2007 – 2009
|
| Project Status |
Completed (Fiscal Year 2009)
|
| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2007: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
|---|
| 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 / 数理計画 / 微分 / 集合値解析学 |
|---|
| 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.
|
Report
(4 results)
Research Products
(41 results)
