Replacement problem where the value of money changes with time under fuzzy environment

The aim of this paper is to find optimum fuzzy replacement time by without converting the fuzzy values into crisp. And the imprecise values are assumed as trapezoidal fuzzy numbers. Moreover we considered that the value of money changes with fuzzy rate of interest. Numerical example is provided to check the validity of the proposed method. This problem involves fuzzy capital cost, scrap fuzzy value or salvage fuzzy value, fuzzy maintenance cost or fuzzy operating cost, and rate of interest having an imprecise value. The aim of the paper is to study the replacement problem with uncertainty.