Characteristics of fuzzy synthetic decision methods for measuring student achievement |
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Authors: | Ching-Sen Hsieh Yu-Wen Chen Chih-Hung Wu Tao Huang |
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Institution: | 1. Changhua He-Cyun Junior High School, Changhua, Taiwan, ROC 2. Da-Yeh University, Da-Tsuen, Taiwan, ROC 3. Department of Digital Content and Technology, National Taichung University of Education, 140, Min-Shen Road, Tai Chung, 40306, Taiwan, ROC 4. National Yunlin University of Science and Technology, Douliou, Taiwan, ROC
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Abstract: | Traditional method of student achievement evaluation only use arithmetic mean and convert them to rankings, but this does
not provide further explanatory information to proceed with more reasonable evaluations, decisions, and interpretations for
the learning achievements of students, and provide a fair and appropriate consideration of the evaluation results. Therefore,
this study attempts to introduce four types of fuzzy synthetic decision methods in actual scores for evaluating and ranking
student’s academic achievement. Using the synthetic decision method of fuzzy theory, the four types of composite operations
are used in conjunction with the membership function, and finally fuzzy means are used to express the diverse evaluation results
of students. This study uses junior high school first year students in central Taiwan as research subjects, selecting the
actual mid-term exam results of the gifted class and general class as research data. The fuzzy synthetic decision method is
applied through four types of composite operations, proposing a ranking system that is more diverse and precise than the traditional
average method. Finally, this study proposes the characteristics of the four types of fuzzy composite operations, considering
the most suitable composite operations for classes with different characteristics. Results of this study can be used as a
reference for educators in the field and future researchers. The contribution of this study is to provide the fuzzy grade
calculation methods that are suited to students with different characteristics, in order to achieve diverse and precise ranking
evaluations. |
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