It remains a challenging problem to simulate the haptic interaction between the fluid and deformable objects due to the inhomogeneity of the deformable object. In this paper, we present a novel position-based haptic interaction method to tackle this problem. On the one hand, according to the inhomogeneity of the deformable object, we calculate the properties of different regions of the deformable object and then evaluate its haptic force so as to make the results more realistic. On the other hand, to preserve more details of haptic feedback forces, we especially incorporate the calculation of buoyancy, pressure, viscous force and elastic force into our framework and design a novel integration scheme for assembling such forces. Moreover, by respecting the influence from fluid viscosity, our method can obtain different haptic force feedback for fluids of different viscosities. Various experiments validated our new method.