Enhancing Set-Theoretic Research Methods with Neutrosophic Sets

Abstract

This study employed the integration of neutrosophic set theory with set-theoretic methods and Qualitative Comparative Analysis (QCA) to examine intricate social phenomena. Participants' opinions and attitudes were captured using neutrosophic Likert scales, which reflected elements of truth, indeterminacy, and falsity. This proposal is illustrated in a case study facilitated a more comprehensive and subtle examination, emphasizing the significance of variables such as motivation, instructional excellence, and educational resources in achieving academic accomplishment. The results of the necessary condition analysis and set coincidence analysis indicated that motivation and teaching quality have the highest individual impact. Nevertheless, the convergence of scholarly resources, drive, and instructional excellence markedly augmented the likelihood of achieving academic success, underscoring the significance of considering multiple factors collectively. The study proposes that future research should investigate additional sets associated with neutrosophic approaches, such as plithogenic sets, and employ more intricate neutrosophic scales to better capture the complexity of data. This approach provides a comprehensive and precise viewpoint for comprehending cause-and-effect relationships in social phenomena, offering a valuable instrument for research and policy development.