Research of Mathematics Instruction Analysis Applying Fuzzy Graph

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Inexact phenomena such as human cognition and behavior could be analyzed by using fuzzy theory which has updatingly been applied to human science, scocial science and so on.In our research project, we would analyze instruction structure by using fuzzy graph. By applying fuzzy ordering and clustering, we could clarify cognition structure of a subject matter based on the test scores.We also have designed and been developing the supproting system for this fuzzy data analysis which is utilized among our research members.Regarding with the research results, we have presented to Int'l Congress of Mathematicians, the Int'l Conference of Fuzzy System Association, the Japan Congress of Science Education and many other conferences.We also have published two books. One is Fuzzy Information Analysis from Kyoritu Shuppan-sha, another is Fuzzy Approach to Educational Technology from Waseda University Press.