m-Polar Quadripartitioned Neutrosophic Graphs with Applications in Decision-Making for Mobile Network Selection

Basavaraj V Hiremath; Durga Nagarajan; Satham Hussain S; Hossein Rashmanlou; Farshid Mofidnakhaei

Authors

Basavaraj V Hiremath Department of Medical Electronics Engineering, Ramaiah Institute of Technology MSR Nagar, MSRIT Post, Bangalore,Karnataka. India,
Durga Nagarajan Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai-600 127, Tamil Nadu, India;
Satham Hussain S Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai-600 127, Tamil Nadu, India;
Hossein Rashmanlou School of Physics, Damghan University, Damghan, Iran;
Farshid Mofidnakhaei Department of Physics , Sari Branch, Islamic Azad University, Sari, Iran;

Keywords:

m-Polar; Quadripartitioned Neutrosophic Graphs; Decision-Making; Mobile Network;

Abstract

In today’s rapidly evolving world, the shift towards multi-polarity is increasingly evident, significantly influencing various scientific and technological domains, particularly in information and data sciences.
This study introduces m-polar Quadripartitioned neutrosophic sets and graphs, along with key results and
operations, such as the composition and Cartesian product of m-polar quadripartitoned neutrosophic graphs,
supported by illustrative examples to clarify the proposed concepts. Additionally, recognizing the complexity
of selecting a mobile network shaped by factors like coverage, data speed, pricing, and customer service-we
propose a novel decision-making approach using a score function within the framework of m-polar quadripartitioned neutrosophic sets. This methodology enables users to evaluate and compare multiple mobile networks
effectively across various criteria.

DOI: 10.5281/zenodo.14996720