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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi
Ningsih, Wahyuni Apria
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Mathematics

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Box Fractal as an Iterated Function System in Fractal Interpolation for Determining the Approximate Value of Demand Data Susanti, Eka; Dwipurwani, Oki; Cahyawati, Dian; Dewi, Novi Rustiana; Khotimah, Husnul; Ningsih, Wahyuni Apria
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 11, No 1 (2026): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v11i1.38905

Abstract

A common problem in inventory planning is the uncertainty of demand. One technique for determining the demand approximation value is the fractal interpolation. The aim of this study is to develop a fractal interpolation technique using a Fractal Interpolated Function constructed by the affine function that forms the Box Fractal shape. The developed method is applied to interpolate rice demand data based on prices at a rice milling factory. Mean Absolute Percentage Error (MAPE) is used to measure the accuracy of the interpolation results. For the n^{th} iteration, the number of boxes formed is 5^n, and the number of pairs of points is 4×5^n. Based on the rice demand data from one of the factories, the best MAPE was obtained at the $6^{th}$ iteration, with a value of 16.319%, which falls into the good category. Based on the data used, the affine function forming the Box Fractal as a Fractal Interpolated Function can be applied in fractal interpolation techniques.
Co-Authors Dian Cahyawati Eka Susanti Husnul Khotimah Novi Rustiana Dewi Oki Dwipurwani