Solving fuzzy differential equations based on the length function properties

In this paper, first, some properties of the length function for fuzzy numbers are introduced and then they are used for the concept of H-difference on fuzzy number-valued functions. Moreover the concept of generalized differentiability, its properties and switching points related to derivative of fuzzy number-valued functions are discussed in detail. Finally, the fuzzy differential equation is considered based on the concept of length function and it is illustrated by solving some numerical examples.

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