Neutrosophic Type-III Sets for Multi-Layered Uncertainty Modeling in Quality Evaluation of University Ideological and Political Education

Abstract

This paper presents a new way to better understand and measure complicated 
situations where things aren't just true or false, but somewhere in between. It focuses on 
something called Type-3 Neutrosophic Sets, a method that helps us deal with uncertainty, 
confusion, and mixed opinions all at once. The study explains how logic has changed over 
time: from classical logic (true or false) to fuzzy logic (somewhere in the middle), and now 
to neutrosophic logic, which separates truth, uncertainty, and falsity. It shows how the 
newer Type-3 version is especially useful when things are unclear or when different 
people have different views like when evaluating the quality of political and ideological 
education in universities. The paper compares Type-3 sets with older versions (Type-1 
and Type-2), gives simple examples, and shows how this new model works using data 
from a sample group of students. The results show that Type-3 helps give a more honest 
and careful view of the situation, especially when expert opinions don't fully agree. 
In the end, the study suggests that this method can help improve how we make decisions 
in education and other fields where uncertainty is common.

DOI: 10.5281/zenodo.15467975