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Neutrosophic Sets and Systems

Abstract

Industrial accidents pose significant risks to human lives, the environment, and economic stability. This study presents a comparative analysis of three plithogenic frameworks—Neutrosophic soft sets, Pythagorean neutrosophic soft sets, and Fermatean neutrosophic soft sets—aiming to model and analyze industrial accidents. The primary objective is to evaluate the effectiveness of these soft sets in handling the uncertainties, complexities, and imprecisions inherent in accident data. Utilizing Dhar's (2021) algorithm for Neutrosophic soft matrices, we introduce a new parameter called a risk score, which consolidates various values for each industry or parameter into a singular magnitude. Our findings indicate that neutrosophic soft sets are more accurate than Pythagorean neutrosophic soft sets and Fermatean neutrosophic soft sets. The study concludes that adopting these advanced frameworks can enhance decision-making processes and safety protocols, thereby mitigating the adverse impacts of industrial accidents.

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