By the application of the theory of fuzzy inequalities and utilizing the method of perturbing Lyapunov-like functions, we discuss the boundedness properties of hybrid fuzzy differential equations. The study of differential equations through the interaction of both continuous valued and discrete valued variables leads to the study of hybrid systems. Hybrid systems contain mixture of logic, discrete value dynamics and continuous variable dynamics. The differential equations containing fuzzy valued functions and interaction with discrete time controller can be named as hybrid fuzzy differential equations. In this paper we develop nonuniform boundedness criteria for solutions of hybrid fuzzy differential equations under weaker assumptions using the idea of perturbation Lyapunov-like function.
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