Corporates are now concentrating more on reaching net-zero carbon emissions in response to the growing global concern over climate change, the management of Carbon Neutral Supply Chains is an important field of research. Despite the urgency, there have been many obstacles to overcome, which has caused the adoption of Carbon Neutral Supply Chain procedures to progress more slowly than anticipated. The lack of understanding of the factors impacting organizations' decisions to adopt Carbon Neutral Supply Chains practices is the main issue this study attempts to address. By recognizing and evaluating these elements, classifying them as drivers or barriers, and investigating their cause-and-effect relationship, this study seeks to close this gap. A model is created to gain a deeper understanding of these interactions by applying Fuzzy Cognitive Mapping and performing a thorough analysis of the body of existing literature. Furthermore, survey data was utilized to establish the conclusions. According to the findings of the study, societal effects and consumer-driven aspects are more important than previously thought, and the biggest obstacle was found to be a lack of customer awareness. The work offers two main contributions: (1) it provides a novel fusion of the Fuzzy Delphi Method and Fuzzy Cognitive Mappings to describe the dynamic interactions between drivers and barriers, and (2) it emphasizes the hitherto understudied role of customers as a major driver of Carbon Neutral Supply Chain adoption. With a comprehensive framework for decision-making in the quest for carbon neutrality, these insights offer managers practical advice for creating plans for obtaining Carbon Neutral Supply Chain certification.