A Sustainable Fuzzy Economic Order Quantity Model with Carbon Tax Policy using Pascal Triangular Graded Mean for Pentagonal Fuzzy Numbers


Authors : Alda.W. S; Rexlin Jeyakumari. S

Volume/Issue : Volume 10 - 2025, Issue 5 - May


Google Scholar : https://tinyurl.com/3bmzt54b

DOI : https://doi.org/10.38124/ijisrt/25may998

Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.


Abstract : Preservation of environment happens by focusing on sustainable measures taken by each and every business sectors in this modern world. Discussion about certain carbon policies by researchers helps to manage supply chain system under sustainable features. Carbon tax policy is one among them which helps firms to control carbon emission. In this process of controlling and in any case of EOQ system, ambiguous nature in any parameter arises at any instant creating a path way to rectify it. So this model studied a sustainable inventory model under fuzzy perspective as a step to face uncertainty for few parameters. So this model applies Pascal Triangular Graded mean defuzzification approach for pentagonal fuzzy numbers and founds the optimal solution. A Justification is given by using numerical analysis.

Keywords : Pascal Triangular Graded Mean Method, Carbon Tax Policy, Sustainable, Defuzzification and Pentagonal Fuzzy Number.

References :

  1. Arslan, M. C., & Turkay, M. (2013). EOQ revisited with sustainability considerations. Foundations of Computing and Decision Sciences38(4), 223-249.
  2. Chen, W. J., Lu, C. J., Hsu, P. T., & Yang, C. T. (2024). Research on an optimal maintenance and inventory model based on carbon tax policy. Processes12(3), 599.
  3. Rani, N., Maheshwari, S., & Sharma, M. K. (2025). A sustainable inventory model: integrating eco-packaging, advertising, and pricing strategies under carbon tax policies. International Journal of System Assurance Engineering and Management, 1-18.
  4. Bhattacharya, P. P., Bhattacharya, K., De, S. K., Nayak, P. K., Joardar, S., & Das, K. (2023). Solution of a Pollution‐Based Economic Order Quantity Model Under Triangular Dense Fuzzy Environment. Optimization Techniques in Engineering: Advances and Applications, 345-362.
  5. Singh, S. R., & Zaidi, U. (2025). Incorporating Fuzzy Learning Approach into a Two-Echelon Sustainable Supply Chain with Imperfect Production Under Environmental and Social Sustainability. Process Integration and Optimization for Sustainability9(1), 167-195.
  6. Devi, N. R., Kuber Singh, M., & Malemnganbi, H. (2025). Optimizing a Sustainable Leakage Inventory Model Under Fuzzy Environment. In Sustainable Inventory Management: Perspectives from India (pp. 241-267). Singapore: Springer Nature Singapore.

Preservation of environment happens by focusing on sustainable measures taken by each and every business sectors in this modern world. Discussion about certain carbon policies by researchers helps to manage supply chain system under sustainable features. Carbon tax policy is one among them which helps firms to control carbon emission. In this process of controlling and in any case of EOQ system, ambiguous nature in any parameter arises at any instant creating a path way to rectify it. So this model studied a sustainable inventory model under fuzzy perspective as a step to face uncertainty for few parameters. So this model applies Pascal Triangular Graded mean defuzzification approach for pentagonal fuzzy numbers and founds the optimal solution. A Justification is given by using numerical analysis.

Keywords : Pascal Triangular Graded Mean Method, Carbon Tax Policy, Sustainable, Defuzzification and Pentagonal Fuzzy Number.

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