Mathematics and Computational Sciences

An intuitionistic fuzzy EOQ model with advance payment, deterioration, and preservation technology under inflation

Document Type : Original Article

Authors

Viyasar Mouly
A Thangam

Department of Mathematics, Community College (Lawspet), Pondicherry University, Kalapet-605 008, Pondicherry, India

https://doi.org/10.30511/mcs.2026.2077655.1605
Abstract
This study develops an economic order quantity model that accounts for advance payment schemes, deterioration, and preservation technology in an intuitionistic fuzzy environment to capture real-world inventory uncertainty. The proposed model further integrates demand, which depends on the selling price, advertising frequency, and stock levels, along with time-varying holding costs, allowance for partial backorders, and the impact of inflation. First, the crisp model is formulated, and then the triangular intuitionistic fuzzy number is applied to this model. Defuzzification of the fuzzy model is performed using two distinct approaches: the signed distance method and the graded mean integration representation method. A solution procedure is developed to determine optimal solutions, and an algorithm is created by combining the results of all models derived from the analytical study. The numerical example is illustrated for both the crisp and fuzzy models, and 2D and 3D graphs are plotted using MATLAB (R2025a).A sensitivity analysis examines how changes in inventory parameters affect the optimal solution, offering managers valuable insights for decision-making under uncertainty.

Keywords

Advance payment
Triangle intuitionistic fuzzy number
Signed distance method
Preservation technology
Inflation
Subjects
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Mathematics and Computational Sciences
Volume 7, Issue 2
Spring 2026
Pages 189-214

  • Receive Date 13 November 2025
  • Revise Date 06 May 2026
  • Accept Date 08 May 2026

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