A Neutrosophic Genetic Algebraic Model for Financial Risk Evaluation in Technology Innovation Enterprises

Abstract

This paper introduces a new mathematical model called Neutrosophic Genetic 
Evolution Algebra (NGEA) to assess financial risk in technology innovation enterprises. 
Inspired by concepts in neutrosophic genetics, the model uses algebraic structures to 
represent and evaluate business changes, market dynamics, and outcome uncertainty. 
Each financial decision  such as launching a new product or entering a new market  is 
treated like a genetic mutation, which may result in business growth, stability, or failure. 
These outcomes are expressed using neutrosophic triplets (T: truth, I: indeterminacy, F: 
falsehood). We develop multiple equations to capture the evolution of financial states over 
time and apply the model to real-world innovation cases. The results show that NGEA 
provides a more flexible and realistic tool for managing risk under uncertainty. 

DOI: 10.5281/zenodo.15558350