A Neutrosophic SuperHyper Number Framework for Accurate Statistical Evaluation of Financial Performance in High-Tech Enterprises

Authors

  • Yujuan Xie School of Accounting of Guangzhou College of Commerce, Guangzhou, 511363, China

Keywords:

Neutrosophic Numbers; SuperHyper Uncertainty; Financial Performance; High-Tech Enterprises; Neutrosophic Statistics; Indeterminacy; SuperHyperFunctions; NSHNPI; Neutrosophic Logic; Uncertain Decision Models

Abstract

This paper introduces a new mathematical model that evaluates the financial 
performance of high-tech enterprises using neutrosophic numbers and superhyper 
uncertainty theory. Traditional financial analysis often fails to address incomplete, 
indeterminate, or conflicting information. To solve this problem, we develop a 
Neutrosophic SuperHyper Number Framework (NSHNF) that combines elements from 
neutrosophic 
number theory, superhyper structures, and neutrosophic 
probability/statistics. Each financial metric is modeled as a neutrosophic number in the 
form x=a+bI, where I capture indeterminacy. These values are then structured using 
powersets Pn to allow for multiple levels of uncertainty. We introduce several new 
formulas, such as the Neutrosophic Mean, Variance, and a new index called NSHNPI 
(Neutrosophic SuperHyper Number Performance Index). Realistic examples are provided 
with full calculations to show the model's usefulness and accuracy. This work represents 
a new direction in financial evaluation by combining strong mathematical logic, deep 
uncertainty handling, and practical applications in business analytics.

 

DOI: 10.5281/zenodo.15873438

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Published

2025-09-15

How to Cite

Yujuan Xie. (2025). A Neutrosophic SuperHyper Number Framework for Accurate Statistical Evaluation of Financial Performance in High-Tech Enterprises. Neutrosophic Sets and Systems, 88, 906-918. https://fs.unm.edu/nss8/index.php/111/article/view/6746