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Flexible bootstrap based on the canonical representation of fuzzy numbers

A new resampling approach for simulating bootstrapped samples of fuzzy numbers is proposed. The secondary samples consist of fuzzy numbers which preserve the canonical representation (i.e., the value and ambiguity) of fuzzy numbers belonging to the primary sample, although may differ from the initial ones. This way the resulting bootstrap distribution has a richer support than obtained with the conventional method. Numerical experiments concerning two statistical tests for the expected value of a fuzzy random variable illustrate the suggested VAbootstrap method and some of its properties.