Investment Benefit of Grid Infrastructure Projects: A Neutrosophic  SuperHyperFunction-Based Model

Zhiyong Chen; Liangdong Qin; Pengfei Sun; Wei Guo

Authors

Zhiyong Chen State Grid Hebei Economic Institute,Shijiazhuang, 050000, China
Liangdong Qin State Grid Hebei Economic Institute,Shijiazhuang, 050000, China
Pengfei Sun State Grid Hebei Electric Power Co., Ltd, Shijiazhuang, 050000, China
Wei Guo State Grid Hebei Electric Power Co., Ltd, Shijiazhuang, 050000, China

Keywords:

Neutrosophic logic; SuperHyperFunction; Plithogenic sets; Infrastructure investment; Uncertainty modeling; Multi-criteria decision-making; Grid systems; Evaluation theory.

Abstract

Traditional investment evaluation methodologies in grid infrastructure projects
often fail to incorporate the complex interplay of indeterminacy, contradiction, and
neutrality inherent in real-world scenarios. In this study, we introduce an original
algebraic
and
semantic
decision
framework grounded in Neutrosophic
SuperHyperFunction theory, designed to address this multidimensional complexity. The
proposed model, named Neutro-SHF Investment Evaluation Model (NSHF-IEM), utilizes
nested power structures and neutrosophic mappings to quantify and aggregate diverse
investment attributes such as financial feasibility, political stability, and environmental
impact each carrying varying degrees of truth (T), indeterminacy (I), and falsehood (F). A
comprehensive case study on a multi-regional grid infrastructure project demonstrates
the superior representational capability of the model compared to conventional methods
like NPV or IRR. This research contributes a novel, rigorous, and logically flexible
approach for strategic decision-making in infrastructure investments under uncertainty.