A Neutrosophic Reflexive Disruption Evolutionary Integral Model for Evaluating the Quality of University Online Education Interactive Platforms Under Teaching Resource Integration

This paper presents a new mathematical model for evaluating the quality of university online education platforms, especially in environments where multiple teaching resources are being integrated. The proposed model, called the Neutrosophic Reflexive Disruption Evolutionary Integral (NRDEI), combines key elements from neutrosophic logic and introduces a novel concept known as reflexive disruption. This concept captures the mismatch that can occur between the intended purpose of newly added resources and how students actually interact with them. The model also includes a neutrosophic evolutionary component that tracks whether each platform feature is improving, declining, or remaining stable over time. By combining this with the neutrosophic integral, which aggregates uncertain quality values, the model produces a dynamic and behavior-aware evaluation. The reflexive disruption function is defined mathematically and is influenced by the divergence between user activity and resource responsiveness. The final quality score is calculated through a time-integrated function that adjusts the contribution of each component based on its evolution status and level of disruption. This approach allows for more realistic and sensitive assessment of online platforms, capturing not only what is provided but also how it is received and used by learners. The model will be validated through a fully calculated case study that reflects a real academic platform scenario.