Blockchain technology and applications, one of the most attractive Industry 4.0 technologies, provide organizations with a transparent, reliable, and traceable distributed ledger network. Blockchain technologies have the potential to transform the way logistics companies and supply chains operate and boost efficiency. However, blockchain technology applications are not yet widely adopted in all industries. Among the challenges that logistics companies should pay close attention to in the future are focusing on blockchain technology, reducing current barriers, and supporting the best consensus algorithms. In this context, the main research questions are: (1) What are the obstacles to blockchain technology applications in logistics organizations? (2) Which is the best consensus algorithm? The study suggests the approach of combining subjective and objective techniques in the process of weighting the criteria. Also, the research introduces the bipolar neutrosophic-logarithmic percentage change-driven objective weighting approach, as well as the bipolar neutrosophic-combined compromise solution approach, for choosing a consensus algorithm to solve the obstacles blockchain technologies face. According to the study's findings, the most significant barrier in blockchain technologies is "lack of legal regulation". "Proof of authority" is identified as the most important consensus algorithm.