Improve Fuzzy Inventory Model of Fractal Interpolation with Vertical Scaling Factor

Eka Susanti (Science Doctoral Program Mathematics and Natural Science, Universitas Sriwijaya, Indralaya Ogan Ilir, 30662, Indonesia)
Fitri Maya Puspita (Department of Mathematics, Universitas Sriwijaya, Indralaya Ogan Ilir, 30662, Indonesia)
Siti Suzlin Supadi (Institute of Mathematics Science, University of Malaya, Kuala Lumpur, 50603, Malaysia)
Evi Yuliza (Department of Mathematics, Universitas Sriwijaya, Indralaya Ogan Ilir, 30662, Indonesia)
Ahmad Farhan Ramadhan (Department of Mathematics, Universitas Sriwijaya, Indralaya Ogan Ilir, 30662, Indonesia)

Science and Technology Indonesia
Vol. 8 No. 4 (2023): October

The inventory model is used to determine the optimal inventory of a product. In certain cases, parameters in the inventory model are uncertain. Fractal interpolation techniques can be used to overcome parameter with uncertainty. Fractal interpolation results are affected by the fractal interpolation function and the vertical scaling factor. The vertical scaling factor is positive and less than 1. In this study, fractal interpolation techniques are introduced with variations in vertical scaling factor to overcome the uncertainty of demand data in inventory models. Furthermore, the interpolation results are used in fuzzy inventory models and expressed by Trapezoidal Fuzzy Number. This paper considers an inventory model with varying demand to optimize rice inventory. Based on the data obtained, the accuracy level will increase for the vertical scaling factor values close to 1. Optimal rice inventory of each successive fuzzy parameter is 1447963, 1013914, 504950, 215312. If the cost parameter is increased, then the amount of inventory is decreases.