A Structured Framework for Circular Supplier Selection: A Hybrid Multi-Criteria Decision-Making Approach
Abstract
1. Introduction
2. Literature Review
2.1. Foundations of CSS
2.2. CSS Criteria
2.3. Decision-Making in CSS
2.4. Identified CSS Gap
3. Methodology
3.1. Research Design
3.2. Fuzzy DEMATEL
- A.
- Define the criteria and introduce a fuzzy scale. Express performance levels through linguistic terms mapped to triangular fuzzy values. The scale ranges from no influence (values close to 0), through low and medium influence (intermediate values between 0.25 and 0.75), up to high and strong influence (values approaching 1.0). This linguistic-to-numeric mapping provides a structured way to capture subjective judgments [59,60].
- B.
- Build the fuzzy decision matrix. In this mathematical step, the triangular fuzzy parameters, represent the lower, middle, and upper bounds of the influence of the criterion on criterion , where function as the influencing criterion and as the influencing criterion.
- C.
- Derive the area center numbers using (1). Equation (1) computes the area center number (AC), summarizing the fuzzy judgments into a single representative value.This step condenses the uncertainty of expert inputs into a usable score for weighting.
- D.
- Adjust the weights of the criteria by defining the coefficients for each criterion j. Equation (2) normalizes these ( values to calculate the relative weight of each criterion.where the variables denote the normalized weight of the criterion represents the adjusted coefficient value associated with criterion j, and i and j denote the influencing and influenced criteria, respectively.DEMATEL uses these weights to build the causal relation diagram.
- E.
- Apply DEMATEL to create a causal relation diagram. Equations (3) and (4) present the sum of rows (R) and columns (C). These equations compute the total influence exerted by each criterion (R) and the degree to which the other criteria influence each criterion (C).where the components represent the total influence exerted by the criterion the total influence received by the criterion and the influence of the criterion on criterion , respectively.
3.3. Best-Worst Method
- A.
- Identify the criteria as the decision set .
- B.
- Identify the criterion considered most important (Best) and the one deemed least relevant (Worst).
- C.
- Conduct pairwise judgments among the criteria, applying a 1–9 rating scale. The best-to-other representation is as a vector , where the components denotes the preference of the Best criterion over each criterion j.
- D.
- Express the worst-to-others representation as a vector , where T indicates the transpose of the vector.
- E.
- Determine the optimal set of weights .
- F.
- Execute an integrity check. The consistency ratio (CR) has in the numerator representing the optimal consistency value obtained from the linear optimization model. Equation (5) presents the calculation of the CR, which measures the reliability of the weights obtained in BWM. The parameter measures represent the maximum deviation in the pairwise comparisons, while CI denotes the consistency index.
3.4. Analytic Hierarchy Process
4. CSS Structured Framework for Deployment Results
4.1. Fuzzy DEMATEL Results
4.2. BWM Results
4.3. AHP Results
5. Discussion
- Institutional ESG and Audits: Since environmental governance (C2) emerged as a key systemic driver and environmental transparency (SC8) achieved the highest priority within this dimension, firms should incorporate standardized ESG disclosure requirements, environmental reporting protocols, and traceability-based audits into their supplier qualification and contract renewal processes. For instance, procurement managers can apply these findings by requiring suppliers to submit sustainability disclosures aligned with global frameworks, such as the Global Reporting Initiative (GRI) or Sustainability Accounting Standards Board (SASB). Additionally, mandating annual audits—such as Standard (ISO 14001) certification [76]—can effectively verify environmental compliance. Rather than limiting audits to regulatory compliance, managers should adopt recurring circularity assessments covering circular design capability (SC1), recycling and recovery practices (SC4), and the use of secondary materials (SC5).
- Digital Systems Infrastructure: The strong performance of technological enablement (C4), particularly data integration capability (SC18), indicates that firms should prioritize investments in interoperable digital systems capable of monitoring supplier environmental and operational data in real time. To achieve this, managers should allocate capital to Enterprise Resource Planning (ERP) modules equipped with sustainability dashboards. They should also pilot blockchain-enabled traceability tools within high-risk sourcing categories and implement collaborative digital platforms to support reverse logistics coordination, circular-flow monitoring, and supplier transparency across the supply chain.
- Data-Driven Supplier Evaluation: The results further suggest that procurement managers should adopt data-driven systems within the structured framework for CSS that integrate circularity indicators, ESG metrics, delivery reliability, and digital readiness into supplier scorecards. By embedding the exact priority weights derived from this hybrid Fuzzy DEMATEL-BWM-AHP framework directly into corporate procurement scorecards, firms can ensure that day-to-day purchasing decisions systematically prioritize suppliers with stronger long-term circular capabilities over short-term cost efficiencies.
- Targeted Supplier Action Plans: The findings also indicate differentiated managerial actions according to supplier performance profiles:
- Top-ranked suppliers (such as A5 and A9) should be integrated into long-term strategic partnerships focused on circular innovation and co-development initiatives.
- Mid-ranked suppliers should receive targeted capability-building support related to digital integration, environmental reporting, and operational resilience. For example, procurement teams can provide technical workshops on digital traceability tools or supply standardized environmental reporting templates to help these partners drive continuous improvement.
- Low-ranked suppliers should be subject to corrective improvement plans involving Corporate Social Responsibility (CSR) compliance, sustainability audits, and minimum circularity performance requirements linked to future sourcing eligibility. This operational turnaround can be managed by setting explicit, time-bound compliance thresholds as mandatory conditions for remaining in the sourcing pool.
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Criterion | Description | References |
|---|---|---|
| C1 Circular Performance | The capability of the supplier to enable closed-loop systems, resource recovery, product life extension, and circular value creation. | [23,24,25,26] |
| C2 Environmental Governance | Degree of formalization of environmental management practices, emission control, compliance, and sustainability reporting. | [23,27,28] |
| C3 Economic & Operational Performance | Traditional dimensions of supplier performance include cost efficiency, quality, delivery reliability, flexibility, and financial stability. | [6,23,29] |
| C4 Technological Enablement | Technological capability to support circular supply chains through digitalization, traceability, system integration, and Industry 4.0 readiness. | [6,24,29] |
| C5 Social & Collaborative Sustainability | Supplier commitment to social responsibility, ethical standards, stakeholder collaboration, transparency, and long-term partnership alignment. | [23,24,25,27] |
| Criterion | Sub-Criterion | Description | References |
|---|---|---|---|
| SC1 Circular design capability | Design for reuse, modularity, disassembly, and recyclability. | [23,26] | |
| SC2 Circular innovation capability | Development of innovative circular business and production models. | [24,25] | |
| C1 | SC3 Reverse logistics capability | Ability to collect, return, and reintegrate products/materials into closed-loop systems. | [23,24] |
| SC4 Recycling & recovery rate | Extent of material recovery, reuse, and remanufacturing practices. | [23,27] | |
| SC5 Use of secondary materials | Adoption of recycled or regenerated inputs in production. | [25,28] | |
| SC6 Carbon Management | Monitoring and reduction in greenhouse gas emissions. | [25,28] | |
| SC7 Environmental Management Systems | Structured environmental management practices and certifications. | [27,28] | |
| C2 | SC8 Environmental Transparency | Disclosure of environmental data and sustainability reporting. | [24,29] |
| SC9 Regulatory Compliance | Compliance with environmental and CE regulations. | [23] | |
| SC10 Waste Management Systems | Structured waste minimization, treatment, and safe disposal practices. | [23,27] | |
| SC11 Cost Efficiency | Total acquisition cost and economic competitiveness. | [23,24] | |
| SC12 Delivery Reliability | On-time delivery and supply continuity. | [30] | |
| C3 | SC13 Financial Stability | Financial robustness and investment capacity. | [25,29] |
| SC14 Operational Flexibility | Ability to adapt to demand or specification changes. | [25,30] | |
| SC15 Quality Reliability | Defect rates, certifications, and historical quality performance. | [23] | |
| SC16 Analytics for Circular Optimization | Use of digital analytics to improve resource efficiency. | [24] | |
| SC17 Collaborative Digital Platforms | Digital tools enabling coordination and information sharing. | [6,29] | |
| C4 | SC18 Data Integration Capability | Integration of ERP, IoT, and information systems. | [6] |
| SC19 Digital Traceability | Digital tracking of materials across the supply chain. | [29] | |
| SC20 Industry 4.0 Readiness | Adoption of smart manufacturing and cyber-physical systems. | [6,24] | |
| SC21 Corporate Social Responsibility | Commitment to social responsibility and ethical standards. | [25,27] | |
| SC22 Ethical & Sustainable Sourcing | Adherence to ethical sourcing and sustainable procurement standards. | [25,28] | |
| C5 | SC23 Health & Safety Practices | Occupational health and safety compliance and performance. | [24] |
| SC24 Stakeholder Collaboration | Level of cooperation and partnership alignment within the supply chain. | [23,24] | |
| SC25 Transparency & Trust | Information transparency and long-term trust relationships. | [23] |
| Criterion | R (Row Score) | C (Column Score) | R + C (Importance/Relation) | R − C (Cause/Effect) | Classification |
|---|---|---|---|---|---|
| C1 | 11.830 | 11.987 | 23.817 | −0.157 | Neutral |
| C2 | 12.501 | 10.921 | 23.422 | 1.580 | Strong Cause |
| C3 | 10.825 | 12.100 | 22.925 | −1.275 | Effect |
| C4 | 11.580 | 11.334 | 22.914 | 0.247 | Slight Cause |
| C5 | 11.700 | 12.096 | 23.797 | −0.396 | Effect |
| Judgment (BO/OW) | C1 | C2 | C3 | C4 | C5 |
|---|---|---|---|---|---|
| BO (Best = C2, O = Others) | 2 | 1 | 7 | 3 | 4 |
| OW (O = Others, Worst = C3) | 2 | 1 | 1 | 3 | 3 |
| Criteria and Sub-Criteria | Local | Overall |
|---|---|---|
| C1 Circular Performance | 0.325 | 0.325 |
| SC1 Circular design capability | 0.477 | 0.155 |
| SC2 Circular innovation capability | 0.234 | 0.076 |
| SC3 Reverse logistics capability | 0.122 | 0.040 |
| SC4 Recycling & recovery rate | 0.093 | 0.030 |
| SC5 Use of secondary materials | 0.074 | 0.024 |
| C2 Environmental Governance | 0.203 | 0.203 |
| SC6 Carbon Management | 0.247 | 0.050 |
| SC7 Environmental Management Systems | 0.203 | 0.041 |
| SC8 Environmental Transparency | 0.326 | 0.066 |
| SC9 Regulatory Compliance | 0.131 | 0.027 |
| SC10 Waste Management Systems | 0.094 | 0.019 |
| C3 Economic & Operational Performance | 0.093 | 0.093 |
| SC11 Cost Efficiency | 0.042 | 0.004 |
| SC12 Delivery Reliability | 0.350 | 0.033 |
| SC13 Financial Stability | 0.265 | 0.025 |
| SC14 Operational Flexibility | 0.228 | 0.021 |
| SC15 Quality Reliability | 0.115 | 0.011 |
| C4 Technological Enablement | 0.217 | 0.217 |
| SC16 Analytics for Circular Optimization | 0.250 | 0.054 |
| SC17 Collaborative Digital Platforms | 0.161 | 0.035 |
| SC18 Data Integration Capability | 0.379 | 0.082 |
| SC19 Digital Traceability | 0.122 | 0.027 |
| SC20 Industry 4.0 Readiness | 0.087 | 0.019 |
| C5 Social & Collaborative Sustainability | 0.162 | 0.162 |
| SC21 Corporate Social Responsibility | 0.452 | 0.073 |
| SC22 Ethical & Sustainable Sourcing | 0.221 | 0.036 |
| SC23 Health & Safety Practices | 0.146 | 0.024 |
| SC24 Stakeholder Collaboration | 0.117 | 0.019 |
| SC25 Transparency & Trust | 0.064 | 0.010 |
| Alternative | Overall | Rank |
|---|---|---|
| A1 | 0.754 | 4th |
| A2 | 0.603 | 8th |
| A3 | 0.787 | 3rd |
| A4 | 0.459 | 9th |
| A5 | 0.884 | 1st |
| A6 | 0.612 | 7th |
| A7 | 0.745 | 5th |
| A8 | 0.412 | 10th |
| A9 | 0.855 | 2nd |
| A10 | 0.635 | 6th |
| Scenario Description | Top-Ranked Alternatives | Mid-Ranked Alternatives | Low-Ranked Alternatives | Rank Changes Observed |
|---|---|---|---|---|
| Base weights (original) | A5, A9, A3 | A1, A7, A10, A6, A2 | A4, A8 | None |
| C1 weight doubled (Figure 5) | A5, A9, A3 | A1, A7, A10, A6, A2 | A4, A8 | None |
| C1 weight reduced by half | A5, A9, A3 | A1, A7, A10, A6, A2 | A4, A8 | None |
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© 2026 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
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Tramarico, C.L.; Petrillo, A.; Salomon, V.A.P. A Structured Framework for Circular Supplier Selection: A Hybrid Multi-Criteria Decision-Making Approach. Logistics 2026, 10, 134. https://doi.org/10.3390/logistics10060134
Tramarico CL, Petrillo A, Salomon VAP. A Structured Framework for Circular Supplier Selection: A Hybrid Multi-Criteria Decision-Making Approach. Logistics. 2026; 10(6):134. https://doi.org/10.3390/logistics10060134
Chicago/Turabian StyleTramarico, Claudemir Leif, Antonella Petrillo, and Valério Antonio Pamplona Salomon. 2026. "A Structured Framework for Circular Supplier Selection: A Hybrid Multi-Criteria Decision-Making Approach" Logistics 10, no. 6: 134. https://doi.org/10.3390/logistics10060134
APA StyleTramarico, C. L., Petrillo, A., & Salomon, V. A. P. (2026). A Structured Framework for Circular Supplier Selection: A Hybrid Multi-Criteria Decision-Making Approach. Logistics, 10(6), 134. https://doi.org/10.3390/logistics10060134

