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<p>This study proposed an integrated inventory model for perishable products with selling price, advertisement and stock level dependent demand which reflects the realistic behaviour of the market model. The model also allows the possibility of partial shortage with a backlogging policy. To handle the uncertainty of cost parameters, trapezoidal and pentagonal fuzzy numbers are incorporated and the decision makers are given more flexibility. A one-level trade credit strategy is considered and the impact of carbon emission costs and green technology investment is considered for providing more sustainable operations. The paper aims to optimize the profit function by determining the depletion time, cycle time, selling price and green investment cost. Mathematical illustrations and sensitivity analysis are utilized to explain the impact of the system parameters on the optimal decisions. The results reveal that the total profit without fuzzy environment is $ 2857.58 and $ 3329.25 for Case I and Case II respectively. While, the total profit with trapezoidal fuzzy number is $ 3731.64 and $ 4245.12 and with pentagonal fuzzy number is $ 3972.76 and $ 4494.24 for Case I and Case II respectively. The numerical results indicate that pentagonal fuzzy representation yields higher estimated profit values than trapezoidal and crisp representations for the considered parameter settings. The numerical results show that, with the proposed model, profit increases and environmental impact are reduced.</p>

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Sustainable Fuzzy Inventory Management with Partial Backlogging under Green Technology Investment and Trade Credit: A Trapezoidal–Pentagonal Approach

  • 期刊论文

  • 发表日期：

    2026年7月21日

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  • Ranvirsinh G. Dodiya,
  • Mrudul Y. Jani,
  • Manish R. Betheja

摘要

This study proposed an integrated inventory model for perishable products with selling price, advertisement and stock level dependent demand which reflects the realistic behaviour of the market model. The model also allows the possibility of partial shortage with a backlogging policy. To handle the uncertainty of cost parameters, trapezoidal and pentagonal fuzzy numbers are incorporated and the decision makers are given more flexibility. A one-level trade credit strategy is considered and the impact of carbon emission costs and green technology investment is considered for providing more sustainable operations. The paper aims to optimize the profit function by determining the depletion time, cycle time, selling price and green investment cost. Mathematical illustrations and sensitivity analysis are utilized to explain the impact of the system parameters on the optimal decisions. The results reveal that the total profit without fuzzy environment is $ 2857.58 and $ 3329.25 for Case I and Case II respectively. While, the total profit with trapezoidal fuzzy number is $ 3731.64 and $ 4245.12 and with pentagonal fuzzy number is $ 3972.76 and $ 4494.24 for Case I and Case II respectively. The numerical results indicate that pentagonal fuzzy representation yields higher estimated profit values than trapezoidal and crisp representations for the considered parameter settings. The numerical results show that, with the proposed model, profit increases and environmental impact are reduced.