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An objective approach to construct the appropriate membership function in optimal decision making

Research Project

Project/Area Number 25730146
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Soft computing
Research InstitutionWaseda University (2015)
Osaka University (2013-2014)

Principal Investigator

Hasuike Takashi  早稲田大学, 理工学術院, 准教授 (50557949)

Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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 / 平滑化 / 効率的解法 / 意思決定
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.

Report

(4 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (16 results)

All 2016 2015 2014 2013

All Journal Article (3 results) (of which Peer Reviewed: 3 results,  Open Access: 2 results) Presentation (12 results) (of which Int'l Joint Research: 3 results,  Invited: 3 results) Book (1 results)

  • [Journal Article] A Constructing Algorithm for Appropriate Piecewise Linear Membership Function based on Statistics and Information Theory2015

    • Author(s)
      Takashi Hasuike, Hideki Katagiri, Hiroe Tsubaki
    • Journal Title

      Procedia Computer Science

      Volume: 60 Pages: 994-1003

    • DOI

      10.1016/j.procs.2015.08.140

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] An Interactive Algorithm to Construct an Appropriate Nonlinear Membership Function Using Information Theory and Statistical Method2015

    • Author(s)
      Takashi Hasuike, Hideki Katagiri, Hiroe Tsubaki
    • Journal Title

      Procedia Computer Science

      Volume: 61 Pages: 32-37

    • DOI

      10.1016/j.procs.2015.09.140

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Constructing an appropriate membership function integrating fuzzy Shannon entropy and human's interval estimation2014

    • Author(s)
      Takashi Hasuike, Hideki Katagiri, and Hiroe Tsubaki
    • Journal Title

      ICIC Express Letters

      Volume: 8(3) Pages: 809-813

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] Construction of an Appropriate Membership Function Based on Size of Fuzzy Set and Mathematical Programming2016

    • Author(s)
      Takashi Hasuike, Hideki Katagiri
    • Organizer
      The International MultiConference of Engineers and Computer Scientists 2016 (IMECS2016)
    • Place of Presentation
      Hong Kong, China
    • Year and Date
      2016-03-16
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Fuzzy Programming Problems with Appropriate and Flexible Membership Functions based on Statistics and Information Theory2016

    • Author(s)
      Takashi Hasuike
    • Organizer
      International Conference on Recent Advances in Optimization Theory and Applications (RAOTA2016)
    • Place of Presentation
      Delhi, India
    • Year and Date
      2016-01-30
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Interactive and efficient algorithm to construct a membership function with objectivity2015

    • Author(s)
      Takashi Hasuike
    • Organizer
      FUZZY51
    • Place of Presentation
      北九州市小倉
    • Year and Date
      2015-12-18
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Constructive Method for Appropriate Membership Function Integrating Fuzzy Entropy with Smoothing Function into Interval Estimation2014

    • Author(s)
      Takashi Hasuike, Hideki Katagiri, Hiroe Tsubaki
    • Organizer
      Joint 7th International Conference on Soft Computing and Intelligent Systems and 15th International Symposium on Advanced Intelligent Systems
    • Place of Presentation
      Kitakyushu, Japan
    • Year and Date
      2014-12-03 – 2014-12-06
    • Related Report
      2014 Research-status Report
  • [Presentation] Intelligent Decision Making in Supply Chain Management under Uncertainty2014

    • Author(s)
      Takashi Hasuike
    • Organizer
      IEEE 7th International Workshop on Computational Intelligence and Applications
    • Place of Presentation
      Hiroshima, Japan
    • Year and Date
      2014-11-07 – 2014-11-08
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Route planning problem with groups of sightseeing sites classified by tourist's sensitivity under Time-Expanded Network2014

    • Author(s)
      Takashi Hasuike, Hideki Katagiri, Hiroe Tsubaki, Hiroshi Tsuda
    • Organizer
      2014 IEEE International Conference on Systems, Man and Cybernetics
    • Place of Presentation
      San Diego, USA
    • Year and Date
      2014-10-05 – 2014-10-08
    • Related Report
      2014 Research-status Report
  • [Presentation] Fuzzy linear programming problems with appropriate and flexible membership functions2014

    • Author(s)
      Takashi Hasuike, Hideki Katagiri, Hiroe Tsubaki
    • Organizer
      20th Conference of the International Federation of Operational Research Societies
    • Place of Presentation
      Barcelona, Spain
    • Year and Date
      2014-07-13 – 2014-07-18
    • Related Report
      2014 Research-status Report
  • [Presentation] Route planning problem under fuzzy sightseeing times and satisfaction values of sightseeing places2013

    • Author(s)
      Takashi Hasuike, Hideki Katagiri, Hiroe Tsubaki, and Hiroshi Tsuda
    • Organizer
      2013 Joint IFSA World Congress NAFIPS Annual Meeting (IFSA/NAFIPS2013)
    • Place of Presentation
      Edmonton, Canada
    • Related Report
      2013 Research-status Report
  • [Presentation] Flexible Route Planning for Sightseeing under Uncertain Conditions2013

    • Author(s)
      Takashi Hasuike, Hideki Katagiri, Hiroe Tsubaki, and Hiroshi Tsuda
    • Organizer
      EURO/INFORMS2013
    • Place of Presentation
      Rome, Italy
    • Related Report
      2013 Research-status Report
  • [Presentation] 数理計画問題における妥当なメンバシップ関数構築法の一考察2013

    • Author(s)
      蓮池隆,片桐英樹,椿広計
    • Organizer
      第29回ファジィシステムシンポジウム(FSS2013)
    • Place of Presentation
      大阪国際大学,大阪
    • Related Report
      2013 Research-status Report
  • [Presentation] A Flexible Tour Route Planning Problem with Time-Dependent Parameters Considering Rescheduling Based on Current Conditions2013

    • Author(s)
      Takashi Hasuike, Hideki Katagiri, Hiroe Tsubaki, and Hiroshi Tsuda
    • Organizer
      2013 IEEE International Conference on Systems, Man, and Cybernetics (SMC2013)
    • Place of Presentation
      Manchester, UK
    • Related Report
      2013 Research-status Report
  • [Presentation] メンバシップ関数設定の柔軟性を考慮したファジィ数理計画問題2013

    • Author(s)
      蓮池隆,片桐英樹,椿広計
    • Organizer
      京都大学数理解析研究所 「不確実性の下での数理的意思決定の理論と応用」研究集会
    • Place of Presentation
      京都大学,京都
    • Related Report
      2013 Research-status Report
  • [Book] 統計理論に基づく妥当なメンバシップ関数構築法と意思決定2015

    • Author(s)
      蓮池隆,片桐英樹,椿広計
    • Total Pages
      48
    • Publisher
      統計数理研究所
    • Related Report
      2014 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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