On the Lattice Structure of Neutrosophic Open Sets for Risk Evaluation of Supply Chain Finance in International Cross-Border E-Commerce

Abstract

In complex financial ecosystems, firms interact through asymmetric and uncertain 
relationships that classical models fail to capture adequately. With the increase of complexity 
of these ecosystems, standard topological and fuzzy approaches have become no longer able 
to expressively model indeterminacy intrinsic in financial interactions. To address this 
limitation, we propose a novel neutrosophic topological framework for corporate financial 
management, which introduces neutrosophic financial relations theories to enable a granular 
representation of membership influence, indeterminacy, and resistance in inter-firm 
dynamics. Our framework, then, drives neutrosophic open sets using upper and lower 
contour mappings and organizes them into a complete lattice structure, with support of formal 
set of operations. Furthermore, we propose Contour Index as a new centrality metric to 
quantify financial importance the neutrosophic topology. With the introduction of realistic 
case study from financial corporations, we investigate the applicability of our framework, and 
the results demonstrate its ability to identify influential firms, supporting ranks under 
uncertainty, and enhances strategic financial planning. Extensive analysis proves the ability 
to offer a powerful, uncertainty-aware foundation for financial analytics as well as decision
making in dynamic corporate networks. 

DOI: 10.5281/zenodo.15843660