Art comes from life, and art products derived from it are also closely related to daily life. With the development and improvement of social economy, art products are more and more favored and recognized by people. In other words, there will be higher requirements for the design of art products, including whether the design can bring people a visual feast, meet people's spiritual needs, and have practical functions or not. Based on these needs and deficiencies, this paper proposes a scientific computing evaluation of interactive product art design based on the user’s experience evaluation analysis model, combining the corresponding design strategies with interactive algorithms. In addition, by integrating the design business logic and simulation experiments of interactive art products, this paper discusses its fuzzy structure from the perspective of interaction, and analyzes fuzzy cognition and decision-making clustering strategies. The purpose of this is to support decision analysis and realize the effectiveness of user’s fuzzy cognitive strategies. The simulation experiment results show that users can directly observe the results according to the categories after applying the user’s experience evaluation analysis model, which greatly improves the efficiency and quality of product design. These findings clearly verify that the user’s experience evaluation analysis model proposed in this paper has a significant impact on interactive product art design and also provide convenience for scientific computing evaluation.