A Novel Neutrosophic Framework for Digital Inheritance and Innovation of Traditional Handicraft Tourism Products Based on Symbolic Integrity and Forgery Detection

Traditional handicraft tourism products are important cultural assets that represent history, identity, and creativity. As these products move into the digital world through 3D modeling, online markets, or AI-based design their original meaning and cultural value can be lost or distorted. There is a growing need for systems that preserve authenticity while allowing creative innovation. This paper introduces a new neutrosophic framework designed to support the digital inheritance and creative development of traditional handicraft tourism products. Using advanced neutrosophic structure theory, we propose three original mathematical tools: 1. NeutroSemiotic Integrity Metric (NSIM) to measure how much cultural symbolism is preserved or lost during digitization, 2. Neutrosophic Forgery Detection Function (NFDF) to detect products that are falsely labeled as traditional, 3. Neutrosophic Rarity Index for Craft Tourism (NRIC-T) to rank digital versions of handicrafts based on their uniqueness and value. These tools use neutrosophic logic to model uncertainty, contradiction, and cultural sensitivity. We apply the framework to a real case study involving embroidered textile designs. The results show that our system provides better insight, protection, and innovation support than traditional evaluation methods.