QuantumSoft Set: A Quantum-Inspired Extension of Soft Sets for Evaluating Multimedia Teaching Effectiveness in College English

Abstract

In real-world decision-making, information is rarely complete, precise, or static. 
Traditional soft set extensions including HyperSoft Sets and TreeSoft Sets  have improved the 
capacity of modeling uncertain or hierarchical data. However, none of these models effectively 
capture situations where elements simultaneously exhibit overlapping or probabilistic behaviors 
across multiple states. This paper introduces the QuantumSoft Set, a new model based on 
principles from quantum mechanics, such as superposition and probabilistic state collapse. We 
define the mathematical structure of QuantumSoft Sets, compare them to existing models, and 
apply them to evaluate multimedia teaching effectiveness in college-level English. A detailed case 
study with analytical results and visual representations demonstrates the model's advantages in 
capturing complex, uncertain, and subjective evaluations.

DOI: 10.5281/zenodo.15399535