A Study on Plithogenic Product Fuzzy Graphs with Application in Social network

T Bharathi; S Leo

doi:10.17485/IJST/v14i40.1298

Article

A Study on Plithogenic Product Fuzzy Graphs with Application in Social network

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v14i40.1298

Year: 2021, Volume: 14, Issue: 40, Pages: 3051-3063

Original Article

A Study on Plithogenic Product Fuzzy Graphs with Application in Social network

T Bharathi¹, S Leo^2*

¹Assistant Professor, Department of Mathematics, Loyola College, University of Madras, Chennai, 600 034, Tamil Nadu, India
²Research Scholar, Department of Mathematics, Loyola College, University of Madras, Chennai, 600 034, Tamil Nadu, India

*Corresponding Author
Email: [email protected]

Received Date:12 July 2021, Accepted Date:23 October 2021, Published Date:29 November 2021

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

Abstract

Objectives: The main objective of this study is to define Plithogenic product fuzzy graphs (PPFGs), and introduce its properties. Method: PPFGs is newly introduced as a new graphical model where P-vertices are characterized by four or more attributes and the attribute values of P-edges are computed using the product operator. Findings: Theoretical discussions and results related to PPFGs, and subgraphs, paths, cycles, trees, bridge and cut vertex in PPFGs are demonstrated with examples. A social network model based on the notion of PPFGs has been presented and analyzed to show the utility and the advantage of Plithogenic product fuzzy graph model. Novelty: Strong and weak P-vertices, and highly strong, strong and weak P-edges are identified to analyze the strength of connectivity between different units. P-order, P-size, P-vertex range, P-edge range, degree, total degree, and average P-weight of P-vertices are computed to examine proximity, significance and centrality of units.

Keywords: Plithogenic fuzzy sets; Fuzzy graphs; Plithogenic fuzzy graphs; Plithogenic product fuzzy graphs; Social networks

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Copyright

© 2021 Bharathi & Leo. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)