Concentric Plithogenic Hypergraph based on Plithogenic Hypersoft sets – A Novel Outlook

Authors

  • Nivetha Martin Arul Anandar College (Autonomous), Karumathur,Madurai, Tamil Nadu, India
  • Florentin Smarandache University of New Mexico, Gallup, NM 87301, USA,

Keywords:

Plithogenic sets, Hypergraph, Plithogenic Hypersoft sets, Concentric Plithogenic Hypergraphs

Abstract

Plithogenic Hypersoft sets (PHS) introduced by Smarandache are the extensions of soft sets and hypersoft sets and it was further protracted to plithogenic fuzzy whole Hypersoft set to make it more applicable to multi attribute decision making environment. The fuzzy matrix representation of the plithogenic hypersoft sets lighted the spark of concentric plithogenic hypergraph. This research work lays a platform for presenting the concept of concentric plithogenic hypergraph, a graphical representation of plithogenic hypersoft sets. This paper comprises of the definition, classification of concentric plithogenic hypergraphs, extended hypersoft sets, extended concentric plithogenic hypergraphs and it throws light on its application. Concentric Plithogenic hypergraphs will certainly open the new frontiers of hypergraphs and this will undoubtedly bridge hypersoft sets and hypergraphs.

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Published

2020-05-02

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Martin, N. ., & Smarandache, F. (2020). Concentric Plithogenic Hypergraph based on Plithogenic Hypersoft sets – A Novel Outlook . Neutrosophic Sets and Systems, 33, 78-91. https://fs.unm.edu/nss8/index.php/111/article/view/185