Managing Operational Uncertainty in Manufacturing with Industry 4.0 and 5.0 Technologies
Abstract
1. Introduction
2. Theory and Proposition
2.1. Complexity and Configurational Theories
2.2. Capability and Barriers to Implementing
2.3. Configurations Model
3. Methodology
3.1. Research Design
3.2. Sample and Data Collection
3.3. Data Analysis
- Step 1: Selection and validation of the causal conditions of operational uncertainty using the fuzzy decision-making trial and evaluation laboratory (DEMATEL);
- Step 2: Build configuration;
- Step 3: Causal Conditions-Based PLS-SEM Measurement and Structural Models;
- Step 4: Develop configurations—solutions (fsQCA).
3.3.1. Step 1: Fuzzy-DEMATEL
- Sub-Step 1: Decision goals, set of criteria, and decision-makers
- Sub-Step 2: Design the fuzzy linguistic scale.
- Sub-Step 3a: Generate a fuzzy matrix.
- Sub-Step 3b: Measure the agreement and consistency of decision makers.
- Sub-Step 3c: Generate the mean fuzzy direct-relation matrix.
- Sub-Step 4: Normalise the fuzzy direct relation matrix.
- Sub-Step 5: Determine the fuzzy total-relation matrix.
- Sub-Step 6: Defuzzify matrices of total relationships.
- Sub-Step 7: Causal analysis.
3.3.2. Step 2: Build Configuration
3.3.3. Step 3: PSL-SEM Measurement and Structural Model
3.3.4. Step 4: Develop fsQCA—Solutions
4. Results
4.1. Causal Conditions of Operational Uncertainty with Fuzzy DEMATEL
4.2. Conditions for Building Configurations
4.3. Structural Models—Direct Effect of Causal Model
4.4. Measurement Models for fsQCA Solutions
4.4.1. Geopolitical Tension-Based Model (Model I)
4.4.2. Energy Stability and Security-Based Model (Model IV)
4.4.3. Operation Uncertainty Causal Multidimension
4.5. fsQCA Solutions
4.5.1. Geopolitical Tensions
4.5.2. Energy Stability and Security
4.5.3. Operational Uncertainty Construct
5. Discussion
6. Managerial Implications
7. Theoretical Implications, Limitations, and Directions for Future Research
8. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
| AI | Artificial intelligence |
| ARS | Advanced robotics and robotic systems |
| AR/VR | Augmented and virtual reality |
| BDA | Big data analytics |
| BC | Blockchain |
| CLC | Change in cost-of-living-driven consumer behaviour change |
| DEMATEL | Decision-making trial and evaluation laboratory |
| EPL | Entrenchment power of large firms |
| ESS | Energy stability and security |
| FIMIX | Finite mixture |
| FPMC | Flexible production and mass customisation |
| fsQCA | Fuzzy set qualitative comparative analysis |
| GDP | Gross domestic product (GDP) |
| GPT | Geopolitical tension |
| GWB | Generational work behaviour and ethics |
| ICC | Intraclass Correlation Coefficient |
| IRT | Industrial revolution technologies |
| OLN | Organisational learning |
| PCV | Process capability and variations |
| PLS-SEM | Structural equation modelling partial least squares |
| PDT | Pandemic turbulence |
| PEHS | Protective ecosystem (human and system) |
| PRU | Policy and regulatory uncertainty |
| QC | Quantum computing |
| RCAS | Root cause analysis and sustainable solutions |
| RPMR | Real-time system and process monitoring and response |
| SPSI | Scenario planning and supply chain integration |
| SFW | Skills for future industrial work |
Appendix A. XY Plots of fsQCA for Solutions in the Presence of GPT, ESS, and OPU



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| Dimensions | Kendall’s W | χ2 | Df | p-Value |
|---|---|---|---|---|
| GPT | 0.789 | 138.9 | 8 | <0.001 |
| PRU | 0.722 | 127.1 | 8 | <0.001 |
| CLC | 0.751 | 132.2 | 8 | <0.001 |
| PDT | 0.782 | 137.6 | 8 | <0.001 |
| ESS | 0.688 | 121.1 | 8 | <0.001 |
| GWB | 0.480 | 84.52 | 8 | <0.001 |
| SFW | 0.613 | 108.0 | 8 | <0.001 |
| EPL | 0.629 | 110.6 | 8 | <0.001 |
| PCV | 0.850 | 149.6 | 8 | <0.001 |
| Intraclass Correlation | 95% Confidence Interval | F Test with True Value 0 | |||||
|---|---|---|---|---|---|---|---|
| Lower Bound | Upper Bound | Value | df1 | df2 | p-Value | ||
| PCV | 0.989 | 0.975 | 0.997 | 87.987 | 8 | 168 | <0.001 |
| PRU | 0.986 | 0.969 | 0.996 | 75.853 | 8 | 168 | <0.001 |
| CLC | 0.993 | 0.984 | 0.998 | 150.999 | 8 | 168 | <0.001 |
| PDT | 0.994 | 0.987 | 0.998 | 164.978 | 8 | 168 | <0.001 |
| ESS | 0.989 | 0.974 | 0.997 | 96.168 | 8 | 168 | <0.001 |
| GWB | 0.953 | 0.894 | 0.987 | 25.371 | 8 | 168 | <0.001 |
| SFW | 0.969 | 0.931 | 0.992 | 36.365 | 8 | 168 | <0.001 |
| EPL | 0.985 | 0.966 | 0.996 | 69.840 | 8 | 168 | <0.001 |
| GPT | 0.979 | 0.952 | 0.994 | 55.950 | 8 | 168 | <0.001 |
| R | D | D + R | D − R | |
|---|---|---|---|---|
| GPT | 1.878 | 2.245 | 4.123 | 0.367 |
| PRU | 2.366 | 2.21 | 4.576 | −0.157 |
| CLC | 2.647 | 2.743 | 5.39 | 0.096 |
| PDT | 1.677 | 2.564 | 4.241 | 0.886 |
| ESS | 2.262 | 2.55 | 4.812 | 0.288 |
| GWB | 2.427 | 2.082 | 4.509 | −0.345 |
| SFW | 2.783 | 2.152 | 4.935 | −0.631 |
| EPL | 2.441 | 2.488 | 4.929 | 0.047 |
| PCV | 2.5 | 1.949 | 4.45 | −0.551 |
| Causal Condition Operational Uncertainty (X) | Causal Condition Industry 4.0 and 5.0 Technologies (W) | Causal Condition Organisational Learning (Z) | Outcome (Y) Sustained Performance |
|---|---|---|---|
| Model I: Growing political tensions (GPT) | Scenario planning and supply chain integration (SPSI) ** Flexible production and mass customisation (FPMC) Real-time system and process monitoring and response (RPMR) IoT, AI, ARB, BCC | Organisational learning (OLN) | Sustained performance (SPF) |
| Model II: Cost-of-living-driven consumer behavioural change (CLC) | Scenario planning and supply chain integration (SPSI) Flexible production and mass customisation (FPMC) IoT, AI, BCC, ARB, BDA * | ||
| Model III: Pandemic turbulence (PDT) | Scenario planning and supply chain integration (SPSI) Flexible production and mass customisation (FPMC) Real-time system and process monitoring and response (RPMR) Protective ecosystem (human and system) (PEHS) IoT, AI, BCC, ARB, BDA *, ARVR, QCP | ||
| Model IV: Operational uncertainty of energy stability and security (ESS) | Real-time system and process monitoring and response (RPMR) Scenario planning and supply chain integration (SPSI) Root cause analysis and sustainable solutions (RCAS) IoT, AI, ARB, BDA *, ARVR | ||
| Model V: Entrenchment power of large firms (EPL) | Scenario planning and supply chain integration (SPSI) IoT, AI, BCC, ARB |
| Cronbach’s Alpha | Composite Reliability () | Composite Reliability () | Average Variance Extracted (AVE) | |
|---|---|---|---|---|
| FPMC | 0.621 | 0.958 | 0.819 | 0.698 |
| GPT | 0.711 | 0.718 | 0.807 | 0.514 |
| OLN | 0.763 | 0.771 | 0.838 | 0.508 |
| RPMR | 0.646 | 0.673 | 0.811 | 0.594 |
| SPF | 0.790 | 0.849 | 0.874 | 0.699 |
| SPSI | 0.793 | 0.816 | 0.857 | 0.602 |
| AI | BCC | FPMC | GPT | OLN | RPMR | SPF | SPSI | |
|---|---|---|---|---|---|---|---|---|
| AI | ||||||||
| BCC | 0.055 | |||||||
| FPMC | 0.081 | 0.131 | ||||||
| GPT | 0.286 | 0.079 | 0.139 | |||||
| OLN | 0.169 | 0.096 | 0.283 | 0.115 | ||||
| RPMR | 0.079 | 0.156 | 0.676 | 0.180 | 0.274 | |||
| SPF | 0.064 | 0.089 | 0.107 | 0.181 | 0.185 | 0.143 | ||
| SPSI | 0.041 | 0.082 | 0.649 | 0.090 | 0.326 | 0.522 | 0.242 |
| Cronbach’s Alpha | Composite Reliability () | Composite Reliability () | Average Variance Extracted (AVE) | |
|---|---|---|---|---|
| ESS | 0.739 | 0.761 | 0.851 | 0.656 |
| OLN | 0.800 | 0.894 | 0.849 | 0.532 |
| RCAS | 0.693 | 0.878 | 0.857 | 0.751 |
| RPMR | 0.646 | 0.693 | 0.810 | 0.594 |
| SPF | 0.790 | 0.834 | 0.875 | 0.702 |
| SPSI | 0.793 | 0.814 | 0.857 | 0.601 |
| AI | BDA | ESS | OLN | RCAS | RPMR | SPF | SPSI | |
|---|---|---|---|---|---|---|---|---|
| AI | ||||||||
| BDA | 0.088 | |||||||
| ESS | 0.282 | 0.114 | ||||||
| OLN | 0.130 | 0.096 | 0.112 | |||||
| RCAS | 0.140 | 0.066 | 0.054 | 0.421 | ||||
| RPMR | 0.079 | 0.054 | 0.109 | 0.278 | 0.763 | |||
| SPF | 0.064 | 0.036 | 0.232 | 0.201 | 0.159 | 0.143 | ||
| SPSI | 0.041 | 0.045 | 0.087 | 0.403 | 0.554 | 0.522 | 0.242 |
| Cronbach’s Alpha | Composite Reliability () | Composite Reliability ( ) | Average Variance Extracted (AVE) | |
|---|---|---|---|---|
| OLN | 0.763 | 0.788 | 0.836 | 0.505 |
| OPU2 | 0.765 | 0.794 | 0.832 | 0.504 |
| PEHS | 0.771 | 0.792 | 0.857 | 0.667 |
| SPF | 0.845 | 0.867 | 0.905 | 0.761 |
| SPSI | 0.793 | 0.845 | 0.853 | 0.594 |
| AI | ARVR | BDA | OLN | OPU2 | PEHS | SPF | SPSI | |
|---|---|---|---|---|---|---|---|---|
| AI | ||||||||
| ARVR | 0.151 | |||||||
| BDA | 0.088 | 0.146 | ||||||
| OLN | 0.169 | 0.077 | 0.072 | |||||
| OPU 2 | 0.275 | 0.101 | 0.167 | 0.150 | ||||
| PEHS | 0.099 | 0.093 | 0.045 | 0.398 | 0.089 | |||
| SPF | 0.065 | 0.042 | 0.042 | 0.194 | 0.225 | 0.142 | ||
| SPSI | 0.041 | 0.058 | 0.045 | 0.326 | 0.101 | 0.362 | 0.202 |
| Solution | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Configuration | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
| GPT | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ||
| OLN | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | |||
| SPSI | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ||||
| FPMC | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | |||
| RPMR | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | |||||
| AI | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ||
| BCC | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | |
| Raw coverage | 0.388 | 0.499 | 0.377 | 0.371 | 0.381 | 0.519 | 0.383 | 0.393 | 0.453 | 0.355 | 0.376 | 0.327 |
| Unique coverage | 0.011 | 0.008 | 0.004 | 0.003 | 0.002 | 0.010 | 0.007 | 0.008 | 0.027 | 0.005 | 0.056 | 0.004 |
| Consistency | 0.869 | 0.899 | 0.886 | 0.895 | 0.899 | 0.887 | 0.874 | 0.870 | 0.906 | 0.895 | 0.933 | 0.936 |
| Overall solution coverage 0.832 | ||||||||||||
| Solution consistency 0.799 | ||||||||||||
| High SPF: PSPF = f(GPT, OLN, SPSI, FPMC, RPMR, AI, BCC) | ||||||||||||
| Solution | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Configuration | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
| ESS | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ||||
| OLN | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ||||
| RCAS | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ||
| RPMR | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | |
| SPSI | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ||
| AI | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | |||
| BDA | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | |||||
| Raw coverage | 0.476 | 0.299 | 0.316 | 0.413 | 0.418 | 0.282 | 0.293 | 0.535 | 0.393 | 0.388 | 0.386 |
| Unique coverage | 0.007 | 0.011 | 0.012 | 0.011 | 0.008 | 0.007 | 0.003 | 0.045 | 0.003 | 0.004 | 0.007 |
| Consistency | 0.850 | 0.883 | 0.901 | 0.921 | 0.901 | 0.867 | 0.885 | 0.896 | 0.912 | 0.932 | 0.943 |
| Overall solution coverage 0.825 | |||||||||||
| Solution consistency 0.810 | |||||||||||
| Outcome | Solution | |||
|---|---|---|---|---|
| Configuration for High SPF | Configuration | 1 | 2 | 3 |
| OPU2 | ![]() | ![]() | ||
| OLN | ![]() | ![]() | ||
| PEHS | ![]() | ![]() | ||
| SPSI | ![]() | |||
| AI | ![]() | ![]() | ||
| ARVR | ![]() | |||
| BDA | ![]() | |||
| Raw coverage | 0.280 | 0.260 | ||
| Unique coverage | 0.043 | 0.021 | ||
| Consistency | 0.895 | 0.925 | ||
| Overall solution coverage 0.686 | ||||
| Solution consistency 0.864 | ||||
| Configuration for Low SPF | OPU2 | ![]() | ![]() | ![]() |
| OLN | ![]() | ![]() | ||
| PEHS | ![]() | ![]() | ||
| SPSI | ![]() | ![]() | ![]() | |
| AI | ![]() | ![]() | ![]() | |
| ARVR | ||||
| BDA | ![]() | ![]() | ![]() | |
| Raw coverage | 0.255 | 0.304 | 0.301 | |
| Unique coverage | 0.011 | 0.001 | 0.001 | |
| Consistency | 0.924 | 0.914 | 0.909 | |
| Overall solution coverage 0.636 | ||||
| Solution consistency 0.849 | ||||
| High SPF | SPF = f(OPU2, OLN, PEHS, SPSI, AI, ARVR, BDA | |||
| Low SPF | ~SPF = f(cOPU2, OLN, PEHS, SPSI, AI, ARVR, BDA | |||
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Mtotywa, M.M.; Mohapeloa, M. Managing Operational Uncertainty in Manufacturing with Industry 4.0 and 5.0 Technologies. Appl. Sci. 2026, 16, 2321. https://doi.org/10.3390/app16052321
Mtotywa MM, Mohapeloa M. Managing Operational Uncertainty in Manufacturing with Industry 4.0 and 5.0 Technologies. Applied Sciences. 2026; 16(5):2321. https://doi.org/10.3390/app16052321
Chicago/Turabian StyleMtotywa, Matolwandile Mzuvukile, and Matshediso Mohapeloa. 2026. "Managing Operational Uncertainty in Manufacturing with Industry 4.0 and 5.0 Technologies" Applied Sciences 16, no. 5: 2321. https://doi.org/10.3390/app16052321
APA StyleMtotywa, M. M., & Mohapeloa, M. (2026). Managing Operational Uncertainty in Manufacturing with Industry 4.0 and 5.0 Technologies. Applied Sciences, 16(5), 2321. https://doi.org/10.3390/app16052321





