Analysis and Computation of Fuzzy Differential Equations via Interval Differential Equations with a Generalized Hukuhara-type Differentiability

摘要

One of the most efficient ways to model the propagation of epistemic uncertainties (in dynamical environments/systems) encountered in applied sciences, engineering and even social sciences is to employ Fuzzy Differential Equations (FDEs). The FDEs are special type of Interval Differential Equations (IDEs). The IDEs are differential equations used to handle interval uncertainty that appears in many mathematical or computer models. The concept of generalized Hukuhara (gH) differentiability shall be applied in analyzing such equations. We further apply a highly efficient computational method to approximate the solution of some modeled FDEs. The results obtained clearly showed that the method adopted in the research is efficient and computationally reliable.