2012 Fiscal Year Final Research Report
Analytic research of multicriteria location problems and applications to the system for developing new products
| 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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| Keywords | OR / 意思決定 |
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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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