The work aims to design a table lamp product with creative interactive methods. Based on the theory of availability, with the interaction mode of table lamps as the design point, an integrated design model of availability and FBS was constructed. Questionnaire surveys and interviews were used to search for user needs for innovative design of table lamps, and a mapping relationship was generated with product functions. Analytic Hierarchy Process (AHP) was used to rank the importance of requirements, transforming expected availability into actual availability. Then, the FBS model was used to construct scenarios and analyze conflicts in the design of table lamp structures, completing the mapping of expected functions, expected behaviors, and structures, and conducting correlation analysis of relevant elements and operating methods layer by layer. The result was an innovative interactive form of table lamp design that was suitable for use in various age groups and family environments. The availability theory, AHP, and FBS frameworks are combined to form an interdisciplinary new method for optimizing design and decision-making processes. Through theoretical integration, method innovation, technological development, and practical application, the functionality, behavior prediction, and structural effectiveness of design are improved, providing ideas for the research of innovative design of table lamps.