ISO/IEC 27018 is specifically designed as a code of practice for protecting Personally Identifiable Information (PII) in public clouds. It builds upon ISO/IEC 27001 and provides additional controls and guidance relevant to cloud service providers acting as PII processors.
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ISO/IEC 27001 is a broader standard for establishing, implementing, maintaining, and continually improving an information security management system (ISMS). While it's foundational for security, it doesn't offer the specific PII protection guidance that 27018 does in the cloud context.
NIST SP 800-53 provides a catalog of security and privacy controls for federal information systems and organizations. While it addresses PII protection, it's not exclusively focused on public cloud environments like ISO/IEC 27018.
PCI DSS (Payment Card Industry Data Security Standard) focuses specifically on protecting cardholder data. While this is a form of PII, PCI DSS is very narrow in scope compared to the broader PII protection provided by ISO/IEC 27018.