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Neutrosophic Soft-Rough Matrices

Neutrosophic Soft-Rough Matrices
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Author(s): Srinivasan Vijayabalaji (Anna University, India), Natesan Thillaigovindan (Arba Minch University, Ethiopia), Ranganathan Rajasekaran (Anna University, India)and Kopikrishnan Sathiyaraj (AKT Memorial College of Engineering, India)
Copyright: 2025
Pages: 18
Source title: Modern SuperHyperSoft Computing Trends in Science and Technology
Source Author(s)/Editor(s): Florentin Smarandache (University of New Mexico, USA)and Priyanka Majumder (Techno College of Engineering, Agartala, India)
DOI: 10.4018/979-8-3693-6875-6.ch008

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Abstract

This work investigates the formation of neutrosophic soft-rough matrices, building on the principles of soft-rough matrix theory. Drawing from the concepts of neutrosophic markov chains and transition matrices, we introduce novel ideas in the form of Neutrosophic soft transition matrices and Neutrosophic soft-rough transition matrices. In this research, we provide a comprehensive overview of these new matrices, detailing their properties and potential applications. By presenting several examples, we illustrate how Neutrosophic soft transition matrices and Neutrosophic soft-rough transition matrices can be utilized in various scenarios. Additionally, we discuss key results that underpin these new structures, offering rigorous proofs and explanations to support our findings.

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