| Project/Area Number |
22510133
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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 |
Social systems engineering/Safety system
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| Research Institution | Hirosaki University |
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Principal Investigator |
KON Masamichi 弘前大学, 大学院・理工学研究科, 准教授 (50298379)
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| Co-Investigator(Renkei-kenkyūsha) |
TANAKA Tamaki 新潟大学, 大学院・自然科学研究科, 教授 (10207110)
KUWANO Hiroaki 金沢学院大学, 経営情報学部, 教授 (30279864)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | OR / 意思決定 / ファジィ多目的配置問題 / 安定性 / 集計関数 / 加法的生成元 / 準凹関数 / ファジィ集合列 / ファジィ集合値写像 |
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| Research Abstract |
First, we investigated the stability of the fuzzy multicriteria location problems. Next, we generalized the quasiconcavity of membership functions based on aggregation functions, and investigated the properties of the generalized quasiconcavity. Finally, we gave new definitions of the limit of sequences of fuzzy sets, the limit of fuzzy set-valued mappings, and the derivative of fuzzy set-valued mappings based on level sets of fuzzy sets. Then, we investigated their properties. The obtained results can be expected to be useful for analyzing the fuzzy mathematical models whose solutions are fuzzy sets.
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