FINDING CORRELATION OF FUZZY DATA

Abstract

While dealing with the non-fuzzy data, finding statistical parameters like mean, variance, standard deviation and correlation coefficient between variables are very common. However, evaluating the value of such statistical parameters are not so straightforward in case of fuzzy data. In this article, we propose a new method to find the correlation coefficient of two fuzzy sets in terms of their membership values. For this purpose, we define covariance using the membership values of the fuzzy sets. We derive the formula for finding correlation coefficient for the fuzzy sets over both continuous and discrete universal sets.  We have shown in this paper that the value of coefficient lies in the interval [0, 1]. We then demonstrate our work with the help of numerical examples.