Concept structure analysis method based on integration of FLMP and ISM with application in equality axiom concepts

Authors:
Yuan-Horng Lin;Wen-Liang Hung;Sen-Chi Yu
Affiliations:
Department of Mathematics Education, National Taichung University, Taichung City, Taiwan;Graduate Institute of Computer Science, National Hsinchu University of Education, Hsinchu City, Taiwan;Center of Teacher Education, Huafan University, Shiding, Taipei County, Taiwan
Venue:
FS'07 Proceedings of the 8th Conference on 8th WSEAS International Conference on Fuzzy Systems - Volume 8
Year:
2007

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Abstract

The purpose of this study is to provide an integrated method which aims to analyze individualized concept structure. This method integrates algorithm of fuzzy logic model of perception (FLMP) and interpretive structural modeling (ISM). The combined algorithm of this integrated model could analyze the individualized concepts structure based on the comparisons with expert. The authors provide the empirical data analysis of equality axiom testing for pupils. The results show that task-takers with different response patterns and total score own varied concept structures. Finally, based on the findings and results, some suggestions and recommendations for future research are provided.