A Neutrosophic Offset Adaptive Weight Model with Topological Offset Space and Dynamic Offset Analysis for University Teaching Management Quality Evaluation

Abstract

 We propose a new mathematical model for evaluating the quality of university 
teaching management. This model uses a neutrosophic offset framework, where the truth
membership, indeterminacy, and falsehood degrees (T, I, F) are allowed to be outside the 
classical interval [0,1]. Specifically, values may exceed 1 (over-membership) or be negative 
(under-membership). To flexibly respond to these offset values, we introduce adaptive 
weight functions that adjust dynamically according to the magnitude and direction of 
deviation. The evaluation model is then embedded into a topological offset space, which 
provides a framework for analyzing the connectivity and stability of various quality 
indicators. Additionally, we define an offset dynamics index to capture the temporal 
evolution of these offsets. This integrated approach provides a comprehensive and precise 
assessment of university teaching management quality in complex and dynamic 
environments. 

DOI: 10.5281/zenodo.15625349