By combining wireless ultraviolet (UV) communication and radio frequency (RF) communication, leveraging their respective advantages, the relay cooperation scheme for hybrid links was investigated though modeling and numerical computation method. By utilizing the unique features of the wireless UV non-line-of-sight scattering channel and the RF wireless fading channel, a hybrid UV/RF cooperation and relay model was established, along with three distinct transmission strategies, in typical channel conditions. The probability of system outage and the bit error rate (BER) were theoretically investigated along with their analytical expressions. Finally, the system performance was numerically calculated under different channel parameters for hybrid UV/RF links. The numerical results demonstrate that the hybrid UV/RF relay cooperation scheme can achieve significantly lower outage probability across varying link distances and channel conditions in comparison to a single UV communication link. When BER is equal to 1×10-6, the proposed strategies can achieve a performance gain ranging from 0.4 to 6.1 dB across various UV channel turbulence strengths and RF channel Ricean factors.