An EOQ model for defective items under Pythagorean Fuzzy Environment

Document Type : Original Manuscript


1 Department of Mathematics, ITER Siksha O Anusandhan, Jagmara, Khandagiri, Bhubaneswar, Odisha

2 Department of Mathematics, ITER Siksha O Anusandhan, Jagmara, Khandagiri



Classical EOQ models can help us decide on the terms of how much to order, to manage an inventory. Any company dealing with physical products needs to manage an inventory to improve and avoid shortages occurring. Many times the lots come with defective items due to which there is a loss in the effectiveness of the model. In the present study, we consider two types of carrying costs for good and defectives items, and also proportionate discount is being considered for defective items. We use the Pythagorean fuzzy environment (PFS) and analyze the score functions with help of  cuts of the fuzzy parameters. The problem is optimized to get the best solution, utilizing Yager’s Ranking. The numerical results obtained from crisp and fuzzy environments are also compared. Lastly graphical and sensitivity illustrations are being used to justify the models.

Graphical Abstract

An EOQ model for defective items under Pythagorean Fuzzy Environment


  • An Eoq model has been considered for defective items in which the items are discounted in a proportional method.
  • This model gives a managerial insight of getting the profit by allowing proportional discounts.
  • A Pythagorean Fuzzy environment has been considered, which is recent.


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