The document presents a new approach to outsourced attribute-based signatures (OABS) designed to alleviate the heavy computational burden associated with traditional attribute-based signatures (ABS). By utilizing a signing-cloud service provider (S-CSP), the proposed OABS paradigm significantly reduces the number of required exponentiations during signing, thus enabling resource-constrained users to perform tasks more efficiently. The security of this system is validated through rigorous analysis, ensuring both unforgeability and privacy of the signer.