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This work introduces a soft myoelectric prosthesis system for operating different physical computer mouses. The proposed prosthesis has two tendon\u2010driven soft fingers and three fin\u2010ray fingers. It enables an enveloping grasp of the computer mouse and facilitates diverse finger\u2010based clicking and scrolling operations. In addition, a mapping between the hand movements (myoelectric signals) and the computer mouse operations is created by combining a neural network classifier and a post\u2010processing algorithm. Herein, the proposed system's performance is evaluated through a series of cursor control tasks involving both the able\u2010bodied and amputee participants. In the experimental results, it is shown that the proposed soft prosthesis system effectively enables individuals with transradial amputation to operate a physical computer mouse using their residual limbs. 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