Research of Educational Evaluation Applying Fuzzy Theory

将模糊理论应用于教育决策中，可以对人的行为、认知等不确定信息进行分析。如果将模糊推理应用到教育评价中，在很多情况下都能得出合理的结果。在本研究中，(1)我们开发了一种利用模糊推理进行教育评价的方法，(2)我们开发了它的评价支持系统等。在我们的研究中，我们已经在国际数学教育大会、北美模糊信息处理学会会议、日本数学学会大会、日本模糊系统研讨会等几个会议上展示了它的有效性。我们不仅用我们提交的许多文章做了我们的研究报告，而且我们还出版了两本与模糊理论有关的书。他们的题目是《模糊数学导论》和《模糊理论及其应用》。

The inexact information such as human behavior and cognition could be analyzed by applying the fuzzy theory which is also used for the educational decission. If we apply the fuzzy reasoning to educational evaluation, we could decide the reasonable results in many cases.In this research, (1) we have developed an educational evaluation method using the fuzzy reasoning, (2) we have developed its evaluation-support system, etc. As to our research, we have presented its effectivenes for several conferences such as : Int'l Congress of Mathematics Education, Conference of North American Fuzzy Information Processing Society, Congress on Japan Society of Mathematics, Fuzzy System Symposium in Japan and some others.We have not only made our research report with the many articles which we have presented, but also we have published two books related to the Fuzzy Theory. Their titles are 'Introduction to Fuzzy Mathematics' and 'Fuzzy Theory and its Application'.