Comparation between some approaches to solve fuzzy differential equations
The authors study differential equations, where a fuzzy function \(f\) is obtained by applying Zadeh's extension principle to a function \(g\). They obtain a fuzzy solution for this class of fuzzy differential equations by applying Zadeh's extension principle to the deterministic solution associated with the fuzzy problem and show that the fuzzy solution is coincident with the solution obtained by fuzzy differential inclusions. Also, in the case that \(f\) is monotone, the authors show that the fuzzy solution coincides with the solution obtained by considering the generalized derivative. They present a numerical procedure to obtain the fuzzy solution. The paper contains many examples.
scientific article; zbMATH DE number 5634455
scientific article