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We suggest the use of piecewise monotonic interpolations to approximate and represent a fuzzy number (or interval) and to derive a procedure to control the absolute error associated to the arithmetic operations (+, −, ·, :) between fuzzy numbers, in order to reduce the distance between the true result of the operation and its approximation. The monotonic… (More)

We present several models to obtain simple parametric representations of the fuzzy numbers or intervals, based on the use of piecewise monotonic functions of different forms. The representations have the advantage of allowing flexible and easy to control shapes of the fuzzy numbers (we use the standard-cuts setting, but also the membership functions are… (More)