Supply chain (SC) networks now need to submit structural adjustments to respond to events like natural and unanticipated disasters that tend to cause interruptions and damage the continuity of business operations. Artificial intelligence, robotics, blockchain, 3D printing, 5G, and the Internet of Things are just a few examples of disruptive technologies that are being widely used and will drastically alter how SCs sustainability is conducted in the real world. The sustainability of SC operations can be greatly enhanced by disruptive technology. Organizational competency is needed to strike a balance between sustainability and SC disruption. Sustainable SCs may not have enough resilience to survive disruptive events since they prioritize efficiency and economic aspects. That is why sustainable SC management studies trends toward disruption utilizing new technologies. To adapt SCs to the needs of contemporary manufacturing processes, innovations in environmental conservation and social development have been put into place. In contrast, even though the fact that sustainability and disruptive technologies have each been extensively examined separately, few suggestions combine them in the measuring of SC performance. Since there are not any studies in the literature that identify the influence of disruptive technologies on SC sustainability generally, in this research we concentrate on several disruptive technologies that are used to provide SC sustainability. The objective of this work's suggestion is to provide a framework that integrates multi-criteria analysis methods with neutrosophic theory to evaluate the influence of disruptive technologies on the sustainability of SCs. This framework is an integration of the α-discounting technique for multi-criteria decision-making (α-D MCDM) and the Vlse Kriterijumska Optimizacija Kompromisno Resenje (VIKOR) method. The new α-D MCDM approach overcomes the analytical hierarchy process's (AHP) method limitations of pairwise comparison to n-wise comparisons and also deals with inconsistent problems. SC sustainability has three main criteria which are economic, environmental, and social, their weights are measured using α-D MCDM with n-wise comparison. Also, the twenty sub-criteria weights were evaluated using the standard AHP method with consistent comparison. To rank the disruptive technologies that influence SC sustainability, we utilize the VIKOR method. The proposed framework is applied under a neutrosophic environment to ensure more accurate results and deal with uncertainty and vague conditions. Finally, sensitivity and comparative analyses were performed to confirm the verity, strength, and stability of the enhanced methodology.