No, they are not the same. AI as a service (AIaaS) is a model that employs cloud-based technologies using third-party APIs, providing services to customers. AIaaS provides cost-effective services, and off-the-shelf tools implement AI techniques, providing flexibility, usability, and scalability.
Software as a Service (SaaS) is a cloud-based service model that ensures the client can get on-demand access to provide ready-to-use application software. SaaS developers manage products such as applications, data, servers, and other user-friendly features.