Correlation with Fuzzy Data and Its Applications in the 12-year Compulsory Education in Taiwan

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Abstract
In the study, we developed a new model of fuzzy correlation and empirically examined the fuzzy correlation with student test scores in subjects of Chinese and Mathematics. Our sample comprised 419 Taiwanese students in the 12-year compulsory education. We applied fuzzy theory and conducted simulations with the data from Normal, Uniform, and Cauchy distributions to illustrate the efficiency of our proposed methods.