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A Basic Research of the Introduction of Fuzzy Theory to Mathmatics Education

Research Project

Project/Area Number 07680206
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

SUDA Hiroshi  Keio University, Faculty of Business and Commerce, Professor, 商学部, 教授 (80046268)

Co-Investigator(Kenkyū-buntansha) YAMASHITA Hajime  Waseda University, Faculty of Politics and Economics, Professor, 政治経済学部, 教授 (40112990)
TAKENAKA Yoshiko  Keio University, Faculty of Economics, Professor, 経済学部, 教授 (20051617)
Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 1996: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1995: ¥900,000 (Direct Cost: ¥900,000)
KeywordsFuzzy Theory / Foundations of Mathematics / Fuzzy Graph / Mathematics Education in Junior High School / Mathematics Education in Senior High School / Basic University Education
Research Abstract

One purpose of this research is to clarify the mathematical foundation of fuzzy theory. This is a difficult problem which has not been solved in relative associations, but we kept on this study by slow walking. On the other hand, the research of educational-technological application developed. Especially, with respect to educational evaluation system, the model being useful in educational site is completing.
The next purpose is the research that introduce fuzzy theory into junior or senior high school mathematics. Some teachers completed suitable examples used fuzzy theory with in the limits of the national curriculum. And they tried to make educational experiment at the sopts of developmental study or activity. For the understanding mathematical idea, WE think that to show the examples picked from daily life is effective. We suppose fuzzy thory be able to deal with human subjectivity or sensibility is useful for the development of such examples. Furthermore, we want to continue the research makes examples and verifies the educational effect.
The main purpose of this research is the making instruction and experimenting in basic education of university (mainly social or human science cource). Last year, we asked comments and advicies about our proposal of instruction at educational technology and fuzzy theory associations and tried one at a seminar of synthetic education. Every time, we investigated the correspondence of students and we reported that results on Mathematics Education Society and Japan Society for Fuzzy Theory and Systems. Onece more, we were able to investigate correspondence and opinion of students of medical or educational cource. On the strength of these data, we repeated examination and we made a comprehensive instruction for non-engineering cource and then we wrote 'Introduction to Fuzzy Mathematics-Basis and Application of Soft-science' (Morikita Pub.).

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (39 results)

All Other

All Publications (39 results)

  • [Publications] 須田 宏: "大学(文系)における「ファジィ理論入門」講義試案" 日本ファジィ学会ノンエンジニアリング・ファジィ研究会論文集. 22-23 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 山下 元: "ファジィグラフの近似表現と応用IV 近似グラフによるソシオメトリー分析" 数学教育学会研究紀要春季年会発表論文集. 36. 193-196 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 須田 宏: "ファジィ数学の大学(文系)基礎教育への導入[II]" 日本ファジィ学会ファジィシステムシンポジウム論文集. 511-512 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 稲井田次郎: "ファジィグラフの近似表現と応用V ファジィグラフの近似構造グラフ" 数学教育学会研究紀要秋季例会発表論文集. 36. 161-164 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 箭内美智子: "ファジィグラフの近似表現と応用VI 近似グラフを応用した意識調査法" 数学教育学会研究紀要秋季例会発表論文集. 36. 157-160 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 須田 宏: "大学(文系)における「ファジィ理論入門」の試行-中間報告" 数学教育学会研究紀要秋季例会発表論文集. 36. 165-168 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 須田 宏: "大学(文系)における「ファジィ理論入門」の試行-最終報告" 数学教育学会研究紀要春季年会発表論文集. 37. 229-232 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 須田 宏: "ファジィ理論の大学基礎教育への導入" 日本ファジィ学会ファジィシステムシンポジウム論文集. 431-432 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 須田 宏: "ファジィ数学の大学(文系)基礎教育への導入[III]" 日本ファジィ学会ファジィシステムシンポジウム論文集. 727-730 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 須田 宏: "An Introduction of Fuzzy Mathematics to Basic University Education" 8th Int'l Congress on Mathematical Education Book of Abstracts of Short Presentation. 64 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 山下 元: "大学教育におけるファジィ理論の導入II" 数学教育学会研究紀要秋季例会発表論文集. 37. 202-205 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 三宅章彦: "医学生に対するファジィ特別講義" バイオメディカル・ファジィ・システム学会年次大会講演論文集. 42-43 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 山下 元: "ファジィ数学入門-ソフトサイエンスの基礎と応用" 森北出版株式会社, 148 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Hiroshi Suda: "The Tentative Plan of Lecture 'Introduction to Fuzzy Theory' in University (Non-engineering Course)" Japan Society fo Fuzzy Theory and System, Proceedings of Non-engineering Fuzzy Workshop. 22-23 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Hajime Yamashita: "Approximate Expression of Fuzzy Graph and its Application IV-Sociometry Analysis Applying Approximate Graph" Proceedings of Mathematics Education Society Spring Conference. 193-196 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Hiroshi Suda: "The Introduction of Fuzzy Mathematics to the Basic Education of University (Non-engineering Course) [II]" Japan Society for Fuzzy Theory and Systems, Proceedings of 11th Fuzzy System Symposium. 511-512 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Jiro Inaida: "Approximate Expression of Fuzzy Graph and its Application VI-Approximate Structure Graph of a Fuzzy Graph" Proceedings of Mathematics Education Society Autumn Conference. 161-164 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Michiko Yanai: "Approximate Expression of Fuzzy Graph and its Application VI-Conscious Investigation Method Applying Approximate Graph" Proceedings of Mathematics Education Society Autumn Conference. 157-160 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Hiroshi Suda: "The Trial of 'Introduction to Fuzzy Theory' in University (Non-engineering Course)-The Middle Report" Proceedings of Mathematics Education Society Autumn Conference. 165-168 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Hiroshi Suda: "The Trial of 'Introduction to Fuzzy Theory' in University (Non-engineering Course)-The Final Report" Proceedings of Mathematics Education Society Spring Conference. 229-232 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Hiroshi Suda: "Lecture of Fuzzy Theory and its Application in College Education" Japan Society for Fuzzy Theory and Systems, Proceedings of 12th Fuzzy System Symposium. 431-432 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Hiroshi Suda: "The Introduction of Fuzzy Mathematics to the Basic Education of University (Non-engineering Course) [III]" Japan Society for Fuzzy Theory and Systems, Proceedinsg of 12th Fuzzy System Symposium. 727-730 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Hiroshi Suda: "An Introduction of Fuzzy Mathematics to Basic University Education" 8th Int'l Congress on Mathematical Education, Book of Abstracts of Short Presentation. 64 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Hajime Yamashita: "Introduction of Fuzzy Theory to the Basic Education of University II" Proceedings of Mathematic Education Society Autumn Conference. 202-205 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Akihiko Miyake: "Special Lectures on the Fuzzy Theory for Medical Students" Proceedings of the 9th Annual Meeting of Biomedical Fuzzy Systems Association. 42-43 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Hajime Yamashita: "Introduction to Fuzzy Mathematics-Basis and Application of Soft-science" Morikita Publishing Company. i-v. 1-143 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 須田 宏: "大学(文系)における「ファジィ理論入門」の試行-最終報告" 数学教育学会研究紀要春季年会発表論文集. 37. 229-232 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 須田 宏: "ファジィ理論の大学基礎教育への導入" 日本ファジィ学会ファジィシステムシンポジウム論文集. 431-432 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 須田 宏: "ファジィ数学の大学(文系)基礎教育への導入[III]" 日本ファジィ学会ファジィシステムシンポジウム論文集. 727-730 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 須田 宏: "An Introduction of Fuzzy Mathematics to Basic University Education" 8th Int'l Congress on Mathematical Education Book of Abstracts of Short Presentations. 64 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 山下 元: "大学教育におけるファジィ理論の導入II" 数学教育学会研究紀要秋季例会発表論文集. 37. 202-205 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 三宅 章彦: "医学生に対するファジィ特別講義" バイオメディカル・ファジィ・システム学会年次大会講演論文集. 42-43 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 山下 元: "ファジィ数学入門-ソフトサイエンスの基礎と応用" 森北出版株式会社, 148 (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] 須田 宏: "大学(文系)における「ファジィ理論入門」講義試案" 日本ファジィ学会ノンエンジニアリング・ファジィ研究会論文集. 22-23 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 山下 元: "ファジィグラフの近似表現と応用IV近似グラフによるソシオメトリー分析" 数学教育学会研究紀要 春季年会発表論文集. 36. 193-196 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 須田 宏: "ファジィ数学の大学(文系)基礎教育への導入[II]" 日本ファジィ学会ファジィシステムシンポジウム論文集. 511-512 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 稲井田次郎: "ファジィグラフの近似表現と応用Vファジィグラフの近似構造グラフ" 数学教育学会研究紀要 秋季例会発表論文集. 161-164 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 須田 宏: "大学(文系)における「ファジィ理論入門」の試行-中間報告" 数学教育学会研究紀要 秋季例会発表論文集. 165-168 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 河村勝久: "ファジィ理論による教材構造分析" 数学教育学会研究紀要 秋季例会発表論文集. 169-172 (1995)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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