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

Abstract

 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. 

DOI: 10.5281/zenodo.15758684