UNA APROXIMACIóN DE NúMEROS DIFUSOS DE TIPO TRAPEZOIDAL

in this paper present an approximation for a trapezoidal type fuzzy number by a sequence of ε-differentiable fuzzy numbers, i.e. fuzzy numbers with differentiable membership function in the interior of the ε-level. the process consists on the construction of a differentiable fuzzy number using sup-min-convolution of a fuzzy number with a quasi-gaussian fuzzy number. this work shows some numerical examples and a computational algorithm for this process.