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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 06 > No. 6-2S


Point-Biserial Correlation Analysis of Fuzzy Attributes

PP: 439S-444S
Hao-En Chueh,
Previous studies have presented correlation analyses among fuzzy attributes. This study proposes a correlation analysis method among crisp attributes and fuzzy attributes to investigate their linear relationships. If A and B are two attributes, A is a nominal-dichotomous attribute, and B is a fuzzy attribute. Thus, identifying the relationship between A and B is possible by using the point-biserial correlation analysis. The fuzzy point-biserial correlation analysis is defined and derived, using the membership grades of fuzzy attributes. Using the fuzzy point-biserial correlation analysis is feasible if A is a bimodal distribution, but not a real nominal-dichotomous attribute, such as crime youth versus non-crime youth, illiterate versus non-illiterate person, and mental deficiency versus normal intelligence. An experimental sample illustrates that our proposed method is simpler and faster than the traditional correlation analysis.

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