Fuzzy mode and its applications in survey research

  • Authors:

  • Yuan-Horng Lin;Berlin Wu

  • Affiliations:

  • Department of Mathematics Education, National Taichung University, Taichung City, Taiwan;Department of Mathematics Sciences, National Chengchi University, Taipei City, Taiwan

  • Venue:
  • MATH'06 Proceedings of the 10th WSEAS International Conference on APPLIED MATHEMATICS
  • Year:
  • 2006

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Abstract

The public consensus of evaluations is an important issue in the quantitative research. Most of research tools, like the survey or questionnaire, are to ask people to answer their thinking in binary logic and provide a single answer on some items. They usually adopt statistical computations in traditional approaches to express public consensus. However, this process ignores the fuzzy thinking perceived in human logic and recognition. Fuzzy theory provides the logic of multi-logic which is beyond the limitations of binary logic. Thus, it will be more proper to employ the membership function and fuzzy statistical analysis. In this paper we will provide the definition of fuzzy mode, its proofs and properties. In addition to discussing these characteristics of fuzzy mode, we also apply the fuzzy mode in measuring public consensus with empirical data of educational survey. In the conclusion, suggestions and recommendations for future research and advanced issues are presented.