Authors :
Alda.W. S; Rexlin Jeyakumari. S
Volume/Issue :
Volume 10 - 2025, Issue 2 - February
Google Scholar :
https://tinyurl.com/3avdxb3a
Scribd :
https://tinyurl.com/35ksue7m
DOI :
https://doi.org/10.5281/zenodo.14987744
Abstract :
Lessening the amount of greenhouse gas (GHG) emissions that a person, group, or nation produces refers to
carbon emission reduction. In order to reduce such emissions, investment in carbon emission reduction is mandatory, and
at present many researchers focus on these criteria in Economic Order Quantity(EOQ) Models and find new ideas and
techniques. Concentrating on the emission of carbon, its reduction, along with the analysation of uncertain situations in
the EOQ models, is worthwhile. On examining the drawbacks of vagueness and the requirement to remove it, in this
present work, we implement a fuzzy approach for heptagonal fuzzy numbers. We use the sub – interval average method
for defuzzification and the Kuhn – tucker method for finding the optimal solution. Optimal order quantity and total cost
for both crisp and fuzzy senses are determined and compared to justify the results.
Keywords :
Emission Reduction, Heptagonal Fuzzy Number, Kuhn – Tucker Method, Sub - Interval Average Method, Uncertainty.
References :
- Lee, J. Y. (2020). Investing in carbon emissions reduction in the EOQ model. Journal of the Operational Research Society, 71(8), 1289-1300.
- Lavanya. P. (2017). Various fuzzy numbers and their various ranking approaches. International Journal of Advanced Research in Engineering and Technology (IJARET), 8(5), 73–82.
- Kalaiarasi, K., Sumathi, M., Henrietta, H. M., & Raj, A. S. (2020). Determining the efficiency of fuzzy logic EOQ inventory model with varying demand in comparison with Lagrangian and Kuhn-Tucker method through sensitivity analysis. Journal of Model Based Research, 1(3), 1-12.
- Chen, X., Benjaafar, S., & Elomri, A. (2013). The carbon-constrained EOQ. Operations Research Letters, 41(2), 172-179.
- Toptal, A., Özlü, H., & Konur, D. (2014). Joint decisions on inventory replenishment and emission reduction investment under different emission regulations. International journal of production research, 52(1), 243-269.
- Fan, Y., Wang, M., & Zhao, L. (2018). Production-inventory and emission reduction investment decision under carbon cap-and-trade policy. RAIRO-Operations Research-Recherche Opérationnelle, 52(4-5), 1043-1067.
- Pan, J., Chiu, C. Y., Wu, K. S., Yen, H. F., & Wang, Y. W. (2020). Sustainable production–inventory model in technical cooperation on investment to reduce carbon emissions. Processes, 8(11), 1438.
- Karthick, B., & Uthayakumar, R. (2021). A multi-item sustainable manufacturing model with discrete setup cost and carbon emission reduction under deterministic and trapezoidal fuzzy demand. Process Integration and Optimization for Sustainability, 1-39.
- Kumar, A., Sahedev, S., Singh, A. P., Chauhan, A., Rajoria, Y. K., & Kaur, N. (2024). Investigation of a Fuzzy Production Inventory Model with Carbon Emission using Sign Distance Method. In E3S Web of Conferences (Vol. 511, p. 01005). EDP Sciences.
- Shee, S., & Chakrabarti, T. (2023, February). Impact of Carbon Emission Policies on an Imperfect EOQ Model Under Cloud Fuzzy Environment. In Doctoral Symposium on Human Centered Computing (pp. 197-211). Singapore: Springer Nature Singapore.
- Arora, R., Singh, A. P., Sharma, R., & Chauhan, A. (2022). A remanufacturing inventory model to control the carbon emission using cap-and-trade regulation with the hexagonal fuzzy number. Benchmarking: An International Journal, 29(7), 2202-2230.
- Kumar, N., Kumari, R., & Yadav, D. (2024). Lot sizing model for multiple products over finite planning horizon under the effect of learning and time-value of money with cap-and-trade and carbon tax regulations: a fuzzy framework. International Journal of Operational Research, 49(2), 231-264.
Lessening the amount of greenhouse gas (GHG) emissions that a person, group, or nation produces refers to
carbon emission reduction. In order to reduce such emissions, investment in carbon emission reduction is mandatory, and
at present many researchers focus on these criteria in Economic Order Quantity(EOQ) Models and find new ideas and
techniques. Concentrating on the emission of carbon, its reduction, along with the analysation of uncertain situations in
the EOQ models, is worthwhile. On examining the drawbacks of vagueness and the requirement to remove it, in this
present work, we implement a fuzzy approach for heptagonal fuzzy numbers. We use the sub – interval average method
for defuzzification and the Kuhn – tucker method for finding the optimal solution. Optimal order quantity and total cost
for both crisp and fuzzy senses are determined and compared to justify the results.
Keywords :
Emission Reduction, Heptagonal Fuzzy Number, Kuhn – Tucker Method, Sub - Interval Average Method, Uncertainty.