Endüstri 4.0 ve 5.0 Kullanımının Matematiksel Küme Teorisi ile Modellenmesi

Abstract

Amaç - Endüstri 4.0 ve Endüstri 5.0 gelişim sürecinin matematiksel küme teorisine ilişkin modellenmesi ile açık ve özet bir şekilde ifade edilmesi, amaçlanmaktadır. Yöntem- Matematiksel Küme Teorisi kapsamında Endüstri 4.0 ve Endüstri 5.0 gelişim süreci modellenmiştir. Bulgular-Endüstri 5.0, akıllı teknolojiler (AT), ağ sistemleri (AS), bulut bilişim (BB), sınırlı kaynakların verimli kullanılması (VK), sanayi (SY), otomatik üretim (OÜ), yüksek verimlilik (YV), sistemler arası entegrasyon SE), hizmet sunumunda kalite (HK), dijitalleşme (DJ), yapay zeka (YZ), nesnelerin interneti (IoT), büyük veri (BV), makine öğrenimi (MO), eklemeli imalat EI), blockchain (CH), robot (RT), matematiksel küme teorisi modeliyle ifade edilmektedir. Sonuç-Bu çalışmada, Endüstri 4.0 ve Endüstri 5.0 gelişim süreçleri, matematiksel küme teorisi kullanılarak modellenmiştir. Bu modelleme, süreçlerin nasıl bir evrim geçirdiğini ve teknolojilerin birbiriyle olan ilişkilerini daha net bir şekilde anlamaya olanak sağlamıştır.

Keywords

• Endüstri 4.0
• Endüstri 5.0
• Matematiksel Küme Teorisi

The Modeling of Industry 4.0 and 5.0 Applications Using Mathematical Set Theory

Abstract

Objective - The aim is to clearly and concisely express the development processes of Industry 4.0 and Industry 5.0 through modeling based on mathematical set theory. Method - The development processes of Industry 4.0 and Industry 5.0 were modeled using mathematical set theory. Findings - Industry 5.0 is represented by a mathematical set theory model that includes smart technologies (ST), network systems (NS), cloud computing (CC), efficient use of limited resources (ER), industry (IN), automated production (AP), high efficiency (HE), system integration (SI), quality in service delivery (QS), digitalization (DG), artificial intelligence (AI), the internet of things (IoT), big data (BD), machine learning (ML), additive manufacturing (AM), blockchain (BC), and robotics (RB). Conclusion - In this study, the development processes of Industry 4.0 and Industry 5.0 were modeled using mathematical set theory. This modeling has provided a clearer understanding of the evolution of these processes and the interrelationships between the technologies involved.

Keywords

• Industry 4.0
• Industry 5.0
• Mathematical Set Theory

References

1. Agarwal, A. & Alathur, S. (2023). Metaverse revolution and the digital transformation: intersectional analysis of Industry 5.0. Transforming Government: People, Process and Policy, 17(4): 688-707. https://doi.org/10.1108/TG-03-2023-0036
2. Alizon, F., Shooter, S. B. & Simpson, T. W. (2009). Henry Ford and the Model T: Lessons for Product Platforming and Mass Customization. Design Studies, 30 (5): 588-605.
3. Batra, I., Sharma, C., Malik, A., Sharma, S., Kaswan, M.S. & Garza-Reyes, J.A. (2024). Industrial revolution and smart farming: a critical analysis of research components in Industry 4.0. The TQM Journal, Vol. ahead-of-print No. ahead-of-print. https://doi.org/10.1108/TQM-10-2023-0317
4. Crespo, R., Tohmé, F. (2016). The Future of Mathematics in Economics: A Philosophically Grounded Proposal. Found Sci 22: 1-17. https://doi.org/10.1007/s10699-016-9492-9
5. Eriksson, K.M., Olsson, A.K. & Carlsson, L. (2024). Beyond lean production practices and Industry 4.0 technologies toward the human-centric Industry 5.0. Technological Sustainability, 3(3):286-308. https://doi.org/10.1108/TECHS-11-2023-0049
6. Gagnidze, I. (2023). Industry 4.0 and industry 5.0: can clusters deal with the challenges? (A systemic approach). Kybernetes, 52(7): 2270-2287. https://doi.org/10.1108/K-07-2022-1005
7. Ghobakhloo, M., Iranmanesh, M., Fathi, M., Rejeb, A., Foroughi, B. & Nikbin, D. (2024). Beyond Industry 4.0: a systematic review of Industry 5.0 technologies and implications for social, environmental and economic sustainability. Asia-Pacific Journal of Business Administration, Vol. ahead-of-print No. ahead-of-print. https://doi.org/10.1108/APJBA-08-2023-0384
8. Görçün, Ö. F., (2017). Dördüncü endüstri devrimi “Endüstri 4.0. İstanbul: Beta Basım A.Ş.

9. Kaswan, M.S., Chaudhary, R., Garza-Reyes, J.A. & Singh, A. (2024). A review of Industry 5.0: from key facets to a conceptual implementation framework. International Journal of Quality & Reliability Management, Vol. ahead-of-print No. ahead-of-print. https://doi.org/10.1108/IJQRM-01-2024-0030
10. Khanuja, A., Sreedharan, R. and Sharma, N. (2024). Bibliometric analysis on usage of Industry 4.0 technologies in healthcare. The TQM Journal, Vol. ahead-of-print No. ahead-of-print. https://doi.org/10.1108/TQM-08-2023-0252
11. Koca, D., (2020).Sanayi Devrimlerinin Tarihsel Arka Planı ve işgücü Becerileri Üzerindeki Yansımaları. Uluslararası Toplum Araştırmaları Dergisi, 16 (31): 4531-4558.
12. Kotler, P. (1963). The Use of Mathematical Models in Marketing. Journal of Marketing, 27(4): 31-41
13. Kumar, U., Kaswan, M.S., Kumar, R., Chaudhary, R., Garza-Reyes, J.A., Rathi, R. & Joshi, R. (2024). A systematic review of Industry 5.0 from main aspects to the execution status. The TQM Journal, 36(6): 1526-1549. https://doi.org/10.1108/TQM-06-2023-0183
14. Löffler, A. & Kruschwitz, L. (2019). The Brownian Motion A Rigorous but Gentle Introduction for Economists. Springer Texts in Business and Economics, ISBN 978-3-030-20102-9 ISBN 978-3-030-20103-6 (eBook). Özdemir, A., Nursaçan, N. N. & Nursaçan İ. C., (2018). 2014-2018 Yılları arasında Nesnelerin İnterneti (IOT) üzerine bir literatür taraması. Sosyal Bilimler Araştırmaları Dergisi, 1 (2): 1-22.
15. Sharifabadi Morovati, A., Ziaeian, M., Mirfakhradini, S.H. &Zanjirchi, S.M. (2024). Toward Industry 4.0 in home appliance industry: challenges and future perspectives. Journal of Advances in Management Research, 21(3): 354-375. https://doi.org/10.1108/JAMR-03-2023-0070
16. Schultz, J., A. (1979). The Development of Set Theory and its Applıcatıon to Economıc Analysıs. Studies in Economics and Finance, 3(1): 27 – 48.
17. Sneha, V. & Kavitha, R. (2024). Exploring the economy of creativity and culture in the light of Industry 5.0: a systematic literature review of the setup of creative industries. Journal of Strategy and Management, Vol. ahead-of-print No. ahead-of-print. https://doi.org/10.1108/JSMA-05-2023-0095
18. Pamuk, N. S. & Soysal, M., (2018). Yeni Sanayi Devrimi Endüstri 4.0 üzerine bir İnceleme. Verimlilik Dergisi, 1: 41-66.
19. Raj, R., Kumar, V., Sharma, N.K & Verma, P. (2024). Industry 4.0 readiness: the impact of effective implementation of I4.0 on marketing performance. Journal of Business & Industrial Marketing, Vol. ahead-of-print No. ahead-of-print. https://doi.org/10.1108/JBIM-05-2023-0289
20. Redclift, M. (2005). Sustainable development (1987–2005): An oxymoron comes of age. Sustainable development, 13 (4): 212-227.
21. Rocha, L.T.V., Pereira, L.R.M., Fernandes, R.M., Melo, A.C.S., da Silva, D., Rampasso, I.S., Anholon, R. & Batista Martins, V.W. (2024).Industrial engineer and Industry 4.0? Empirical evidence from the Brazilian context considering the relation between competences and Technologies. Higher Education, Skills and Work-Based Learning, Vol. ahead-of-print No. ahead-of-print. https://doi.org/10.1108/HESWBL-11-2023-0305
22. Rodríguez-Martín, M., Domingo, R. & Ribeiro, J. (2024). Mapping and prospective of additive manufacturing in the context of Industry 4.0 and 5.0. Rapid Prototyping Journal, 30(7):1393-1410. https://doi.org/10.1108/RPJ-11-2023-0410
23. Rupp, M., Schneckenburger, M., Merkel, M. Börret, R. & Harrison, D.K. (2021). Industry 4.0: A Technological-Oriented Definition Based on Bibliometric Analysis and Literature Review. Journal of Open Innovation Technology, Market and Complexity, 7(68): 1-20. https://doi.org/10.3390/joitmc7010068
24. Talaie, H., Ziaeian, M. & Malekinejad, P. (2024). Towards quality 4.0 in home appliances: definitions, deployment scenarios, and future perspectives. Journal of Manufacturing Technology Management, Vol. ahead-of-print No. ahead-of-print. https://doi.org/10.1108/JMTM-02-2023-0044
25. Troisi, O., Visvizi, A. & Grimaldi, M. (2024). Rethinking innovation through industry and society 5.0 paradigms: a multileveled approach for management and policy-making. European Journal of Innovation Management, 27(9): 22-51. https://doi.org/10.1108/EJIM-08-2023-0659
26. Tunji-Olayeni, P., Aigbavboa, C., Oke, A. & Chukwu, N. (2024). Research trends in industry 5.0 and its application in the construction industry. Technological Sustainability, 3 (1): 1-23. https://doi.org/10.1108/TECHS-07-2023-0029
27. Yadav, A., Yadav, G. &Desai, T.N. (2024). Unlocking the potential of Industry 4.0 in BRICS nations: a systematic literature review and meta-analysis. International Journal of Quality & Reliability Management, Vol. ahead-of-print No. ahead-of-print. https://doi.org/10.1108/IJQRM-06-2023-0180
28. Yalçın, O. (2012). Son Bin Yılda Doğu ve Batı Medeniyetlerinin İktisadi Yapılarının Değişimi Üzerine Bir Deneme. The Journal Academic Social Science Studies, 5 (5): 281-324.
29. https://smallbusiness.chron.com/ : 10.08.2024
30. https://egyankosh.ac.in/ : 15.06.2024