In this paper, a numerical method for solving 'FUZZY DIFFERENTIAL INCLUSIONS' is considered.The FUZZY reachable set can be approximated by the proposed method with complete error analysis which is discussed in detail. Moreover, the extrapolation method is employed for increasing the accuracy of the approximate solution. The method is illustrated by solving some linear and nonlinear FUZZY initial value problems.

There are some situations in the real word which can not be modeled by the proposed method until now, to get rid of this difficulty, the concept of FUZZY DIFFERENTIAL Inclusion (FDI) is introduced and then an extension of DIFFERENTIAL transformation method for solving it is given by defining a FUZZY partition. Proposed algorithms are illustrated by numerical example.

In this paper a numerical method for solving 'FUZZY DIFFERENTIAL INCLUSIONS' is considered. Which is discussed in detail, more ever the extrapolation method for increasing the accuracy of the approximate solution is applied. The method is illustrated by solving some linear and nonlinear FUZZY initial value problems.

In this paper the substantiation of the method of full averaging for FUZZY DIFFERENTIAL INCLUSIONS is considered. These results generalize the results of [17, 20] for DIFFERENTIAL INCLUSIONS with Hukuhara derivative and of [18] for FUZZY DIFFERENTIAL equations.