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Non Interacting Approach

The Non Interacting Approach considers the variables as always non interacting. All interval values N generate at t=0 an N-cube. Every point of this hyper-cube is the initial condition of a solution of the differential equation system. After an ordinary numeric integration till the instant $t+\Delta t$, the non interacting N-cube at the instant $t+\Delta t$ is reconstructed. This is done for each $\alpha$-level of the fuzzy values. The important drawback is the insertion of spurious trajectories which do not belong to the system behaviour. Suppose the differential equation is simulated twice. The uncertainty is increased if the second time the step-size is decreased.

Christoph Reich