An Inventory Model for Deteriorating Items with Price and Advertisement Dependent Demand in Fuzzy, Intuitionistic Fuzzy and Neutrosophic Fuzzy Environments

  • Unique Paper ID: 187510
  • PageNo: 7554-7564
  • Abstract:
  • In this paper an inventory model for deteriorating items with shortages is developed in Fuzzy, Intuitionistic fuzzy and Neutrosophic fuzzy environments. Deterioration rate, holding cost, shortage cost and advertisement cost are considered to be uncertain in nature and represented by triangular fuzzy numbers. In practice, demand is rarely constant and is influenced by various factors. The demand for items is assumed to depend on two important factors: the selling price of the product and the frequency of advertisement, both of which play a significant role in real-world market conditions. The model incorporates the effect of deterioration, which naturally occurs over time, thereby influencing the total inventory cost and optimal policy decisions. Removal area method is used for defuzzification. Model is illustrated by a numerical example and then results are compared on the basis of their environments. Sensitivity analysis is also carried out to study the responsiveness of the model to parameter changes, thereby providing valuable managerial insights for decision-making.

Copyright & License

Copyright © 2026 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{187510,
        author = {Supriya Shivaji Wagh and Hemant P. Umap},
        title = {An Inventory Model for Deteriorating Items with Price and Advertisement Dependent Demand in Fuzzy, Intuitionistic Fuzzy and Neutrosophic Fuzzy Environments},
        journal = {International Journal of Innovative Research in Technology},
        year = {2026},
        volume = {12},
        number = {6},
        pages = {7554-7564},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=187510},
        abstract = {In this paper an inventory model for deteriorating items with shortages is developed in Fuzzy, Intuitionistic fuzzy and Neutrosophic fuzzy environments. Deterioration rate, holding cost, shortage cost and advertisement cost are considered to be uncertain in nature and represented by triangular fuzzy numbers. In practice, demand is rarely constant and is influenced by various factors. The demand for items is assumed to depend on two important factors: the selling price of the product and the frequency of advertisement, both of which play a significant role in real-world market conditions. The model incorporates the effect of deterioration, which naturally occurs over time, thereby influencing the total inventory cost and optimal policy decisions. Removal area method is used for defuzzification. Model is illustrated by a numerical example and then results are compared on the basis of their environments. Sensitivity analysis is also carried out to study the responsiveness of the model to parameter changes, thereby providing valuable managerial insights for decision-making.},
        keywords = {Inventory, Fuzzy, Intuitionistic, Neutrosophic, Triangular, Deterioration},
        month = {February},
        }

Cite This Article

Wagh, S. S., & Umap, H. P. (2026). An Inventory Model for Deteriorating Items with Price and Advertisement Dependent Demand in Fuzzy, Intuitionistic Fuzzy and Neutrosophic Fuzzy Environments. International Journal of Innovative Research in Technology (IJIRT). https://doi.org/doi.org/10.64643/IJIRTV12I6-187510-459

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