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Neutrosophic Sets and Systems

Abstract

This paper investigates the correlation and regression coefficients (CRCs) of single-valued neutro sophic graph products (SVNGPs) with a focus on the minimum spanning tree (MST) and their applications in enhancing healthcare strategies. Single-valued neutrosophic Graph (SVNG) is an extension of traditional graph theory that uses neutrosophic logic to solve uncertainties and indeterminacy. We have introduced the modular and strong products of SVNGs and calculated the CRCs with and without using MST to evaluate the relationships within healthcare networks. A comparative analysis has been done for CRCs with and without MST which helps to increase the accuracy and efficiency of CRCs. The gained results offer valuable insights into optimizing resource allocation and improving patient care by identifying critical factors influencing health care outcomes. This study demonstrates the applicability of SVNGPs in decision-making processes, with MST playing a pivotal role in enhancing overall healthcare efficiency and effectiveness.

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