@article{Tang2026, 
author = {Long Tang and Xingsen Li and Lingling Zhang and Yingjie Tian},
title = {High-dimensional Simple Dependent Function: Definition, Properties and Numerical Simulation},
year = {2026},
journal = {Journal of Guangdong University of Technology},
volume = {43},
number = {4},
pages = {115-121},
keywords = {simple dependent function, high-dimensional function, extension set},
url = {https://www.sciopen.com/article/10.12052/gdutxb.250173},
doi = {10.12052/gdutxb.250173},
abstract = {Dependent functions serve as a quantitative mathematical tool, playing a key role in the generation and evaluation of extension sets and extension strategies. They characterize the degree to which an object possesses a given property within a universe of discourse. This paper proposes an easily-to-operate construction method for high-dimensional simple dependent functions and provides rigorous proofs of their key mathematical properties. Numerical simulations and case analyses demonstrate the applicability and superiority of this method in multi-dimensional evaluation scenarios, with comparative analyses conducted across various case types. The results indicate that the proposed method maintains high operability and theoretical feasibility even in high-dimensional situations, while more accurately characterizing the coupling relationships among multiple evaluation features. This work provides a practical theoretical and methodological tool for superiority evaluation and can further improve the quantitative assessment of contradictory problems.}
}