Research of Instruction Structure Analysis System Applying Fuzzy Graph

为了构建学校教育的最佳教学流程，我们应该考察学科的认知结构。针对这一问题，运用模糊理论来阐明相关的复杂流程和结构是有效的，我们运用模糊集合论和模糊图论对教学分析方法进行了研究，并尝试开发了教学分析的支持系统，具体地说，我们开发了认知分析方法、聚类分析方法、模糊聚类分析方法、模糊聚类分析方法并进行了数学教育中的实际案例研究。我们的研究成果已向北美模糊信息处理学会、国际计算机、通信与控制技术会议、日本数学学会、日本模糊系统学会、日本教育技术学会等发表，最后对有关论文进行了总结和编辑，并作了三年科研项目报告。

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.