Abstract: Aiming at the problem that U-V dual-domain dual-quantization rough set model can't deal with fuzzy data, this paper introduces a binary fuzzy relation from U to V and constructs the U-V dual-domain dual-quantization logical conjunction rough set model based on the binary fuzzy relation. By deeply studying of the model structure and mathematical characteristics, we have obtained some conclusions about the model and properties.This model makes the dual-domain dual-quantization rough set theory have a wider application field, which provides a theoretical basis for further revealing the application research of the dual-domain dual-quantization rough set model.