2015 Fiscal Year Final Research Report
An objective approach to construct the appropriate membership function in optimal decision making
| Project/Area Number |
25730146
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Soft computing
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| Research Institution | Waseda University (2015)
Osaka University (2013-2014) |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Keywords | ファジィ理論 / メンバシップ関数 / 情報理論 / 不確実性下での意思決定 |
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| Outline of Final Research Achievements |
Appropriate decision making is most important in terms of academic research and real-world application. In order to obtain the appropriate decision in mathematical programming, the decision maker needs to represent uncertainty mathematically, particularly ambiguity and fuzziness. One of the standard approaches is Fuzzy theory, and the most important mathematical element is to set a membership function. However, in many previous studies, the membership function was only subjectively constructed. In decision making, it is important to set parameters not including subjectivity. Therefore, in this study, I develop a more objective approach to construct the membership function from membership values 0 to 1 using statistics and information theory without assuming the specific form of membership function. Furthermore, I also improved the proposed approach to a more efficient approach based on dynamic programming.
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| Free Research Field |
オペレーションズ・リサーチ，不確実性下での意思決定
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