Discontinuity of the trapezoidal fuzzy number-valued operators preserving core
We prove that any trapezoidal fuzzy number-valued operator preserving core is discontinuous with respect to any weighted metric on the space of fuzzy numbers. As an application, we obtain the discontinuity of the weighted trapezoidal approximation operator preserving core.
discontinuity fuzzy number weighted trapezoidal approximation trapezoidal fuzzy number