Objectives: The primary goal is to provide a novel idea known as the Pythagorean neutrosophic fuzzy cognitive map. A multi-objective goal programming issue with a set of objectives and constraints is solved using PNCM. Methods: Linguistic variables are transformed into crisp values using a score function and the Pythagorean neutrosophic quantification scale. The linear combinations of crisp values and factors yield the goal and constraint equations. Findings: To enhance decision-making in emergency situations like COVID-19, the implications of the novel PNCM concept were utilized to examine the variables influencing oxygen demand. Novelty: Fuzzy cognitive mapping combined with Pythagorean Neutrosophic can improve the modelling and analysis of real-world issues with imprecise data. Keywords: Pythagorean Neutrosophic set (PNs), Fuzzy Cognitive Map (FCM), Goal programming, Oxygen Demand, Multiobjective Optimisation
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