A Fuzzy EOQ Model with Investment in Carbon Emission Reduction Using Kuhn – Tucker Method


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 :

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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.

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