Scientific optimization has become a popular term in the modern design of electrical machines. Due to the current completive and dynamic market, and the increasing importance of energy efficiency and energy conservation, the design optimization of electrical machines has become an essential strategy for research and development. Yet the multi-disciplinary, multiobjective, high-dimensional, nonlinear, and coupled nature of the electrical machines’ design optimization poses a great challenge to the research communities. Nevertheless, the recent advanced algorithms for multiobjective optimization and multiple-criteria decision analysis have been empowering designers to push the existing boundaries of electrical machines design in dealing with the complexity for the novel concepts and innovative designs. This paper presents a state of the art survey on the advancements of the novel optimization tools and applications, and further demonstrates the progress of the academic research in this realm.