A Novel Neutrosophic Relational Maps Approach for Business Process Maturity Assessment in Logistics and Trade

Abstract

In today’s rapidly evolving logistics and trade environments, assessing the 
maturity of business processes is crucial for sustaining competitive advantage. However, 
traditional maturity models often fail to accommodate the inherent uncertainties and 
indeterminacies in real-world logistics operations. To address this gap, we propose a 
novel mathematical framework based on Neutrosophic Relational Maps (NRMs) for 
Business Process Maturity Assessment (BPMA). Unlike existing methods, our approach 
introduces innovative neutrosophic weighting functions and a new dynamic updating 
mechanism to handle the simultaneous presence of truth, falsehood, and indeterminacy 
in logistical relationships. We formulate the mathematical foundations of this approach 
through new matrix operations and neutrosophic thresholding equations, supported by a 
fully calculated step-by-step example illustrating the BPMA in a hypothetical logistics 
scenario. Finally, we provide an in-depth analysis and discussion of the implications, 
advantages, and limitations of the proposed model, articulated in clear and concise 
English to ensure accessibility and reproducibility. 

DOI: 10.5281/zenodo.15619558