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2003 Fiscal Year Final Research Report Summary

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)
Project Period (FY) 2001 – 2003
KeywordsFuzzy Theory / Fuzzy Set Theory / Fuzzy Graph Theory / Fuzzy Reasoning / Cluster Analysis / Instruction Analysis / Cognition analysis / Support System
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.

  • Research Products

    (14 results)

All Other

All Publications (14 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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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

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Published: 2005-04-19  

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