Proceedings of the 3rd Sriwijaya International Conference on Basic and Applied Sciences, SICBAS 2023, November 3, 2023, Palembang, Indonesia

Research Article

Improve of A Fuzzy Inventory Model Using Triangular Fuzzy Numbers and Fractal Interpolation

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  • @INPROCEEDINGS{10.4108/eai.3-11-2023.2347900,
        author={Eka  Susanti and Fitri Maya Puspita and Siti Suzlin Supadi and Evi  Yuliza and Oki  Dwipurwani and Ning  Eliyati and Kamila  Alawiyah and Atha  Arisanti},
        title={Improve of A Fuzzy Inventory Model Using Triangular Fuzzy Numbers and Fractal Interpolation},
        proceedings={Proceedings of the 3rd Sriwijaya International Conference on Basic and Applied Sciences, SICBAS 2023, November 3, 2023, Palembang, Indonesia},
        publisher={EAI},
        proceedings_a={SICBAS},
        year={2024},
        month={8},
        keywords={inventory fuzzy numbers carpet sierspinski},
        doi={10.4108/eai.3-11-2023.2347900}
    }
    
  • Eka Susanti
    Fitri Maya Puspita
    Siti Suzlin Supadi
    Evi Yuliza
    Oki Dwipurwani
    Ning Eliyati
    Kamila Alawiyah
    Atha Arisanti
    Year: 2024
    Improve of A Fuzzy Inventory Model Using Triangular Fuzzy Numbers and Fractal Interpolation
    SICBAS
    EAI
    DOI: 10.4108/eai.3-11-2023.2347900
Eka Susanti1, Fitri Maya Puspita1,*, Siti Suzlin Supadi2, Evi Yuliza1, Oki Dwipurwani1, Ning Eliyati1, Kamila Alawiyah3, Atha Arisanti1
  • 1: Department of Mathematics, Universitas Sriwijaya, Indralaya Ogan Ilir Indonesia
  • 2: Institute of Mathematics Science, University of Malaya, Kuala Lumpur, Malaysia
  • 3: Department of Biology, Universitas Sriwijaya, Indralaya Ogan Ilir Indonesia
*Contact email: fitrimayapuspita@unsri.ac.id

Abstract

The Inventory models can be used to plan the optimal inventory of a product. Several factors that influence the inventory model include demand parameters, prices and costs related to inventory. In special cases, the values of these parameters are uncertain. The fuzzy numbers can be used to express inventory parameters with uncertainty. One of the approach techniques for determining fuzzy parameters is the interpolation technique. This research developed a fractal interpolation technique with an interpolation function constructed from the Sierspinski Carpet. The level of interpolation accuracy is determined by Mean Percentage Absolute Error (MAPE). Economic Order Quantity EOQ model is used to determine optimal inventory. Obtained a MAPE value of 7.15% in the very good category. The optimal inventory, safety stock and reorder points are 14197.49 tons, 2894.87 tons and 4654.669 tons, respectively.