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

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...

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Main Authors: Xuyou Sun, Kun Xue
Format: Article
Language:English
Published: University of New Mexico 2025-07-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:https://fs.unm.edu/NSS/9RelationalMaps.pdf
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author Xuyou Sun
Kun Xue
author_facet Xuyou Sun
Kun Xue
author_sort Xuyou Sun
collection DOAJ
description 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.
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spelling doaj-art-058f6704d0804e99b85724f0676029672025-08-20T03:07:37ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-018711812710.5281/zenodo.15619558A Novel Neutrosophic Relational Maps Approach for Business Process Maturity Assessment in Logistics and TradeXuyou SunKun XueIn 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.https://fs.unm.edu/NSS/9RelationalMaps.pdfneutrosophic setsneutrosophic relational maps (nrms)business process maturity assessmentlogistics and trade
spellingShingle Xuyou Sun
Kun Xue
A Novel Neutrosophic Relational Maps Approach for Business Process Maturity Assessment in Logistics and Trade
Neutrosophic Sets and Systems
neutrosophic sets
neutrosophic relational maps (nrms)
business process maturity assessment
logistics and trade
title A Novel Neutrosophic Relational Maps Approach for Business Process Maturity Assessment in Logistics and Trade
title_full A Novel Neutrosophic Relational Maps Approach for Business Process Maturity Assessment in Logistics and Trade
title_fullStr A Novel Neutrosophic Relational Maps Approach for Business Process Maturity Assessment in Logistics and Trade
title_full_unstemmed A Novel Neutrosophic Relational Maps Approach for Business Process Maturity Assessment in Logistics and Trade
title_short A Novel Neutrosophic Relational Maps Approach for Business Process Maturity Assessment in Logistics and Trade
title_sort novel neutrosophic relational maps approach for business process maturity assessment in logistics and trade
topic neutrosophic sets
neutrosophic relational maps (nrms)
business process maturity assessment
logistics and trade
url https://fs.unm.edu/NSS/9RelationalMaps.pdf
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