Extending SuperHyperSoft Framework: Weighted Soft Sets for Priority-Based Decision-Making in Engineering Ethics Risk Analysis Based on Big Data Technology

Abstract

-Soft set theory, introduced by Molodtsov in 1999, is a powerful tool for modeling 
uncertainty in decision-making. This paper proposes the Weighted Soft Set, a novel 
extension that incorporates attribute weights to reflect their relative importance, 
addressing a critical gap in existing models like HyperSoft Set, IndetermSoft Set, 
IndetermHyperSoft Set, and TreeSoft Set. We formally define the Weighted Soft Set, 
present its operations with proofs of their properties, and provide a detailed methodology 
for its implementation. A real-world case study on engineering ethics risk evaluation 
using big data technology demonstrates its practical utility. A comprehensive comparison 
with existing models highlights its advantages in simplicity, scalability, and prioritization. 
The paper concludes with recommendations for future research, positioning the Weighted 
Soft Set as a versatile framework for applications in medical diagnosis, project 
management, and ethical risk assessment. 

DOI: 10.5281/zenodo.15467824