Dengue is one of the most serious mosquito-borne infectious diseases in the world. The number of dengue cases is increasing every year worldwide. In the present work, we discuss the fuzzy epidemic SEIR-SEI compartmental model with the intervention of bed nets and fumigation to describe the transmission dynamics of dengue disease. We consider the biting rate, transmission rate, and recovery rate of the disease are as fuzzy numbers. We discuss the dynamical behavior of the disease with different amounts of virus loads. Sensitivity analysis of the model is performed to compare the relative importance of the model parameters and to discuss the importance of fumigation, use of bed nets, and the quality of bed nets. We study the bifurcation of the equilibrium point of the system with and without fumigation, with and without bed net users and with different qualities of bed nets. Numerical simulations are made to illustrate the mathematical results graphically.