Abstract
In management and social systems which contain human factors, there exist many cases that data including the human vagueness are treated. In this paper, as the foundation of the analysis of the correlation between several kinds of fuzzy data the method estimating the bivariate moments of a population from fuzzy observation data is considered. It is usually desired that we get accurate observations as much as possible. However, in the treatment of the fuzzy data, it is reasonable to think that we observe the fuzzy events as the fuzzy interval data classified by fuzzy boundaries. Thus, in this paper, we define the fuzzy data using the concept of the probability of fuzzy events proposed by Zadeh and propose the method estimating the bivariate moments by the fuzzy data using the usual statistical calculation. Furthermore, the availability of the method is confirmed by the numerical example, the simulation and the simple observation experiments.
