IMPROVE A FUZZY INVENTORY MODEL USING TRIANGULAR FUZZY NUMBERS AND FRACTAL INTERPOLATION
Eka Susanti(a,b),Fitri Maya Puspita(a*),Siti Suzlin Supadi(c),Evi Yuliza(a),Oki Dwipurwani(a),Ning Eliyati(a),Kamila Alawiyah(d),Atha Arisanti(a)

(a)Department of Mathematics, Universitas Sriwijaya, Indralaya Ogan Ilir Indonesia
(b)Science Doctoral Program Mathematics and Natural Science, Universitas Sriwijaya, Indralaya Ogan Ilir Indonesia
(c)Institute of Mathematics Science, University of Malaya, Kuala Lumpur Malaysia
(d)Department of Biology, Universitas Sriwijaya, Indralaya Ogan Ilir Indonesia

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). 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.

Keywords: Inventory, Fuzzy Numbers, Carpet Sierspinski

Topic: Mathematics and Its Applications