A study on the innovative design of the blue Jiaxie pattern integrating extension semantics and fuzzy comprehensive evaluation

• Introduces extension semantics-FCE into blue Jiaxie research. • The design works have both cultural value and market demand. • Research has innovated the living inheritance path of intangible cultural heritage. • The research methodology ensures the scientific objectivity of the design innovation. In order to meet the diversified aesthetic demands of the intangible cultural heritage (ICH) market and achieve the creative transformation of Jiaxie in the contemporary context, the most representative pattern primitives are selected as the design objects according to the cultural connotation of Jiaxie, the characteristic semantic vocabularies of the pattern primitive objects are summarized and the extension theory is used to calculate the value of the extension interval of the characteristic semantic vocabulary and the correlation diagram. The semantics and correlation diagrams with larger quantitative values are selected as the reference elements of pattern innovation design for the practice of pattern innovation, and the weights of the evaluation indexes are determined by using hierarchical analysis and fuzzy comprehensive evaluation method. The satisfaction of the overall objective and hierarchical indexes of the innovation design scheme are calculated through the comparative analysis with the traditional scheme and the comparative results of satisfaction evaluation show that the innovative design scheme of blue Jiaxie based on Jiaxie semantics can better reflect the connotation of its culture, which is conducive to the expression and dissemination of cultural values, and provides certain reference for the innovative development of traditional patterns in the contemporary context.