On Some Applications of Simulations in Estimation of Maintenance Costs and in Statistical Tests for Fuzzy Settings

In this paper, we discuss two practically oriented applications of computer-aided simulations, which are conducted in a fuzzy setting. The first example is related to the Monte Carlo (MC) approach, which is applied to estimate the present value of maintenance costs of a water distribution system (WDS). Some parameters of this WDS are given by fuzzy numbers. As the second example, we discuss two non-parametric resampling methods, which are used in statical tests about the expected value, if the underlying sample is described by fuzzy numbers. Because of impreciseness, which is related to the use of fuzzy numbers, the considered simulation algorithms exploit a special property of numbers of this kind, i.e. their \(\alpha \)-cuts.