The fuzzy estimators of fuzzy parameters based on fuzzy random variables

The concept for fuzzy estimators of fuzzy parameters in fuzzy random variables is proposed in this paper. Due to the “Resolution Identity”, the construction of a fuzzy number from a family of closed intervals is developed. The construction of the fuzzy estimators of fuzzy parameters from the known conventional estimators inherits evidently from the aforementioned technique. In the meantime, we prove that the fuzzy estimator is a fuzzy random variable in order to provide the notion of fuzzy expectation and variance of fuzzy estimator. The computational procedure is also provided by solving the related nonlinear programming problems that are transformed from the original problem for the purpose of evaluation of the membership values of the fuzzy estimates.