We use the metric properties of the nearest extended weighted semi-trapezoidal fuzzy number and the Karush-Kuhn-Tucker theorem to compute the weighted semi-trapezoidal approximation of a fuzzy number preserving the weighted ambiguity. The proposed approach is more general than existing methods and it can be applied to other ap- proximations of fuzzy numbers under conditions.
['Adrian I. Ban', 'Lucian C. Coroianu']
Weighted Semi-trapezoidal Approximation of a Fuzzy Number Preserving the Weighted Ambiguity