Plithogenic Vertex Graph and Neutrosophic Vertex HyperGraph
DOI:
https://doi.org/10.19139/soic-2310-5070-3901Keywords:
Plithogenic Set, Plithogenic Graph, Neutrosophic Graph, Neutrosophic SetAbstract
A Plithogenic Set extends the classical fuzzy, intuitionistic, and neutrosophic paradigms by assigningattribute-based membership and contradiction values to elements, and the same ideas naturally extend tograph-based structures such as the Plithogenic Graph. Neutrosophic sets, in turn, represent elements withindependent degrees of truth, indeterminacy, and falsity on the unit interval, thus handling incomplete,inconsistent, and ambiguous information effectively.This paper investigates the Plithogenic Graph, the Plithogenic Vertex Graph, and the Plithogenic EdgeGraph. In addition, it examines the Intuitionistic Fuzzy Vertex Graph and Edge Graph, the NeutrosophicVertex HyperGraph and Neutrosophic Edge HyperGraph, and the Neutrosophic Vertex SuperHyperGraphand Neutrosophic Edge SuperHyperGraph.Downloads
Published
2026-07-23
How to Cite
Fujita, T., Hatamleh, R., & Kanti Das, A. (2026). Plithogenic Vertex Graph and Neutrosophic Vertex HyperGraph. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-3901
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Copyright (c) 2026 Takaaki Fujita, Raed Hatamleh, Ajoy Kanti Das
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