In this paper, we define the concept of fuzzy derivatives for perfect and semi-perfect interval-valued fuzzy mappings. Based on this definition, we then present a method for solving interval-valued fuzzy differential equations using the alpha-cut extension principle. Finally, several examples are provided to demonstrate the effectiveness of the proposed method.
['Hadi Kalani', 'Mohammad-R. Akbarzadeh-T', 'Alireza Akbarzadeh', 'Iman Kardan']
Interval-valued fuzzy derivatives and solution to interval-valued fuzzy differential equations