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Research of Instruction Structure Analysis System Applying Fuzzy Graph

Research Project

Project/Area Number 13680210
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Science education
Research InstitutionWaseda University

Principal Investigator

YAMASHITA Hajime  YAMASHITA,Hajime, 政治経済学部, 教授 (40112990)

Co-Investigator(Kenkyū-buntansha) SUZUKI Shinichi  School of Education, Professor, 教育学部, 教授 (10030777)
INOUE Kiyoshi  School of Political Science and Economics, Associate Professor, 政治経済学部, 助教授 (80298174)
TAKIZAWA Takenobu  School of Political Science and Economics, Professor, 政治経済学部, 教授 (70119519)
INAIDA Jiro  Nihon University, School of Science and Engineering, Professor, 理工学部, 教授 (40102420)
UESU Hiroaki  School of Education, Assistant, 教育学部, 助手 (60350401)
須田 宏  慶應義塾大学, 商学部, 教授 (80046268)
小島 順  早稲田大学, 理工学部, 教授 (50063540)
Project Period (FY) 2001 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 2003: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2002: ¥900,000 (Direct Cost: ¥900,000)
KeywordsFuzzy Theory / Fuzzy Set Theory / Fuzzy Graph Theory / Fuzzy Reasoning / Cluster Analysis / Instruction Analysis / Cognition analysis / Support System / 認知構造分析
Research Abstract

In order to construct the optimal instruction flows in school education, we should investigate the coginition structure of the subject matter. For such an analysis, it is effective to apply fuzzy theory to clarify the related complicate flows and the structures.
We have researched the instructional analysis method by using fuzzy set theory and fuzzy graph theory, and also have tried develop its support system.
Actually, we have developed the cognitive analysis method, the cluster analysis method, T-norm analysis method and also have experimented the practical case studies in mathematics education. We have presented our research results to North American Fuzzy Information Processing Society, Int'l Conference Computer, Communication and Conrol Technologies, Japan Society of Mathematics, Japan Society of Fuzzy sysyems, Japan Society of Educational Technology and so on.
Finally, we have summerized and edit the related articles and made our project report of three years scientific research.

Report

(4 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (33 results)

All Other

All Publications (33 results)

  • [Publications] 山下 元: "Mathematical Analysis of Similarity & Connectivity Index in Fuzzy Graph"North American Fuzzy Information Processing Society. Vol.22. TID3 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 上江洲 弘明: "Connectivity Properties of T-Norm Family and its Application"Int'l C. of Computer, Communication, Control Technologies. Vol.7,No.8. 7-9 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 山下 元: "ファジィノードファジィグラフの近似表現と応用"バイオメディカルファジィシステム学会誌. Vol.5,No.1. 37-48 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 稲井田 次郎: "ファジィ理論を応用したクラスタリングレベル分析と応用"日本教育工学会大会論文集. Vol.19,No.2. 695-696 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 山下 元: "ファジィ理論の教育工学への応用"日本知能情報ファジィ学会誌. Vol.16,No.1. 8-17 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 上江洲 弘明: "ファジィノードファジィグラフ,T-ノルムと応用"日本知能情報ファジィ学会誌. Vol.16,No.1. 88-95 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 滝沢 武信: "Excelで楽しむ統計"共立出版. 135 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hajima Yamashita: "Mathematical Analysis of Similality Index and Conectivity Index in Fuzzy Graph"Conference of North American Fuzzy Information Processing Society. Vol.22 TD-3. (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hiroaki Uesu: "Connectivity Property of T-Norm Family and its Application"Int'l Conference of Computer, Communication and Control Technologiies. Vol.7 No.8. 7-9 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hajime Yamashita: "Approximate Expression of Fuzzy Node Fuzzy Graph and its Application"Journal of Biomedical Fuzzy System Association. Vol.5 No.1. 37-48 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Jiro Inaida: "Clustering Level Analysis Applying Fuzzy Theory and its Application"Conference of Japan Educational Technology. Vol.19 No.2. 695-696 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hajime Yamashita: "Application of Fuzzy Theory to Educational Technology"Jounal of Japan Fuzzy System Association. Vol.16 No.1. 8-17 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Uesu Hiroaki: "Fuzzy Node Fuzzy Graph, T-Norm and its Application"Journal of Japan Fuzzy System association. Vol.16 No.1. 88-95 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Takenobu Takizawa: "Easy Statistics by EXCEL"(Kyoritsu Syuppan Co.). 135 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 山下 元: "Mathematical Analysis of Similarity Index and Connectivity Index in Fuzzy Graph"North American Fuzzy Information Processing Society. Vol.22. TID-3 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 上江洲 弘明: "Connectivity Properties of T-Norm Family and its Application"Int'l Conference of Computer, Communication, Control Technologies. Vol.7. CSV-4 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 山下 元: "ファジィノードファジィグラフの近似表現と応用"バイオメディカルファジィシステム学会誌. Vol.5, No.1. 37-48 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 稲井田 次郎: "ファジィ理論を応用したクラスタリングレベル分析と応用"日本教育工学会大会論文集. Vol.19, No.2. 695-696 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 山下 元: "ファジィ理論の教育工学への応用"日本知能情報ファジィ学会誌. Vol.16, No.1. 8-17 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] 上江洲 弘明: "ファジィノードファジィグラフ,T-ノルムとその応用"日本知能情報ファジィ学会誌. Vol.16, No.1. 88-95 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] 滝沢 武信: "Excelで楽しむ統計"共立出版. 135 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] 山下 元: "Approximate Structure Analysis of Fuzzy Graph and its Application"Int'l Conference of Soft Computing and Intelligent Systems. Vol.1. 22Q1-1 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 山下 元: "Sociometry Analysis System Applying Fuzzy Graph"Int'l Conference of Artificial Intelligence and Soft Computing. Vol.5. 60-64 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 滝沢 武信: "Contemporary Computer Shogi"Int'l Conference on Computers and Games. Vol.3. 17-24 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 井上 淳: "Iterative Weighted Least-Square Estimate in a Heteroscedastics Linear Regression Model"Journal of Statistical Planning and Inference. Vol.110. 133-146 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 須田 宏: "Fuzzy Graph Display for Sociometry Analysis"Int'l Conference of Soft Computing and Intelligent Systems. Vol.1. 22Q1-22Q5 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 上江洲 弘明: "ファジィノードファジィグラフを応用したソシオメトリー分析"日本ファジィ学会誌. Vol.14, No.3. 299-309 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 山下元: "Sociometry Analysis Applying Fuzzy Node Fuzzy Graph"Int'l Fuzzy System Symposium. Vol.9. FR1-FR064 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 山下元: "ファジィノードファジィグラフを応用した教材構造分析"日本ファジィ学会大会論文集. Vol.17. 221-222 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 山下元: "ファジィノードファジィグラフの解析と応用"バイオメディカルファジィ学会大会論文集. Vol.14. 24-27 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 滝沢武信: "Computer Shogi through 2000"Int'l Conference of Computers and Games. Vol.2. 433-442 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 須田宏: "Fuzzy Graph Analysis System for Sociometry on Latticed Display"Int'l Fuzzy System Symposium. Vol.9. MA1-MA025 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 稲井田次郎: "Educational Evaluation Applying Approximate Reasoning"Int'l Fuzzy System Symposium. Vol.9. NN2-NN540 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2002-04-01   Modified: 2016-04-21  

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