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A Novel on Virtual Social Network Analysis Utilising Interval-Valued Complex Neutrosophic Graph Structures

A Novel on Virtual Social Network Analysis Utilising Interval-Valued Complex Neutrosophic Graph Structures
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Author(s): Suber Bathusha (Sadakathullah Appa College, Manonmaniam Sundaranar University, India), Sowndharya Jayakumar (Cauvery College of Women, India)and S. Angelin Kavitha Raj (Sadakathullah Appa College, India)
Copyright: 2025
Pages: 52
Source title: Multi-Criteria Decision Making Models and Techniques: Neutrosophic Approaches
Source Author(s)/Editor(s): Mohamed Abdel-Basset (Zagazig University, Egypt), Abduallah Gamal (Zagazig University, Egypt)and Florentin Smarandache (University of New Mexico, USA)
DOI: 10.4018/979-8-3693-2085-3.ch005

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Abstract

The interval-valued complex neutrosophic set (IVCNS), an expansion of the interval-valued neutrosophic set (IVNS), provides a more precisecharacterisation of uncertainty than traditional fuzzy sets. Fuzzy control can use it in a variety of ways. In this research study, the authors also introduce the adjacency matrix IVCNGS notion as well as the idea of an isomorphic adjacency matrix. They also introduce interval-valued complex neutrosophic graph structures (IVCNGS). They use an example to investigate a number of IVCNGS adjacency matrix properties. In addition, they introduce the ideas of edge regular and totally edge regular adjacency matrix IVCNGS. The conditions under which edge regular adjacency matrix IVCNGS and totally edge regular adjacency matrix IVCNGS are equal are described. Finally, in order to make the proposed IVCNGS principles more understandable, they give specific instances of how virtual social networks impact cross-cultural communication and evaluate the effectiveness and performance of the organisation.

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