Correlation Test by Reduced-Spread of Fuzzy Variance

Abstract

We propose some properties for a fuzzy correlation test by reduced-spread fuzzy variance for sample fuzzy data. First, we define the condition of fuzzy data for repeatedly observed data or that which includes error term data. By using the average of spreads for fuzzy numbers, we reduce the spread of fuzzy variance and define the agreement index for the degree of acceptance and rejection. Given a non-normal random fuzzy sample, we have bivariate normal distribution by apply Box-Cox power fuzzy transformation and test the fuzzy correlation for independence between the variables provided by the agreement index.

The Wilcoxon Signed-Rank Fuzzy Test on Rate of Internal Division

“…The rate of internal division for fuzzy hypotheses membership function with respect to membership function of fuzzy critical region was shown in Kang, and Jung [3], where the results is illustrated by the grade for the judgement of acceptance or rejection for the fuzzy hypotheses [2].…”

Fuzzy Test of Hypotheses by Rate of Internal Division

“…They obtained the results by the grade for the judgement of acceptance or rejection for the fuzzy hypotheses. Now, we suggest some properties for a fuzzy hypothesis test by a rate of internal division with a reduced-spread fuzzy variance and covariance using an average of fuzzy number's center and spreads [3,4]. Thus, we illustrate the fuzzy hypothesis   test by difference of hypothyroid samples for symptom light and heavy with a fuzzy degree of freedom.…”