Sony RX1R has a
24.0MP Full frame (35.8 x 23.9 mm ) sized CMOS sensor . On the other hand, Fujifilm X100V has a
26.0MP APS-C (23.5 x 15.6 mm ) sized BSI-CMOS sensor and features X-Processor Pro 4 processor.
Another similarity between these two cameras is that both Fujifilm X100V and Sony RX1R sensors lack anti-alias (Low-Pass) filters. Removing anti-alias filter increases the sharpness and level of detail but at the same time, it increases the chance of moiré occurring in certain scenes.
Below you can see the RX1R and X100V sensor size comparison.
As seen above, Sony RX1R has a 2.3x Larger sensor area than Fujifilm X100V. Larger sensors give photographer more control on the depth of field and blurry background compared to smaller sensor when shot in same focal length and aperture.