Branch Mathematics and Statistics Faculty and Staff Publications

Document Type

Article

Publication Date

2025

Abstract

This paper introduces the Directed Soft Super Hyper Graph, a unified framework for modeling complex, multi-layered directed networks. It combines directionality, recursive hyperstructure, and soft-set parameterization to address the integration of Soft Super HyperGraphs and Directed SuperHyperGraphs, which remains largely unexplored. The paper provides formal definitions, core operations, and real-world examples, such as urban infrastructure and transportation networks, to demonstrate the framework's effectiveness in managing deep hierarchies and uncertain relationships simultaneously.

Language (ISO)

English

Keywords

Directed Graph, Soft Graph, Soft Directed Super-HyperGraph, Hypergraph, Directed HyperGraph

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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