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All Journal Zero : Jurnal Sains, Matematika, dan Terapan
Siti Nur Laili Zuhri
Department of Mathematics Education, Universitas Nahdlatul Ulama Sunan Giri, 62115, Indonesia
Agriculture, Biological Sciences & Forestry Chemistry Mathematics Physics

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A Decision Support System for Selecting Beneficiaries of the Free Nutritious Meal Program Using Fuzzy Possibilistic C-Means M. Husen Al Farisy; M. Ivan Ariful Fathoni; Anisa Fitri; Nabila Alisa Rohmah; Siti Nur Laili Zuhri
ZERO: Jurnal Sains, Matematika dan Terapan Vol 10, No 1 (2026): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v10i1.28831

Abstract

The Free Nutritious Meal Program (MBG) aims to improve students’ nutritional status, but beneficiary selection is challenged by data uncertainty and overlapping criteria. This study proposes a decision support system based on the Fuzzy Possibilistic C-Means (FPCM) algorithm. The dataset consists of 200 students from Bojonegoro Regency using five indicators: nutritional status, household income, family size, participation in social assistance, and distance to school. The methodology includes data standardization, clustering using Fuzzy C-Means (FCM) and FPCM, and evaluation using Partition Coefficient, Silhouette Score, and Dunn Index. The results classify students into three groups: 52% not eligible, 18.5% moderately eligible representing borderline cases requiring further verification, and 29.5% eligible. FPCM achieves higher cluster clarity with a Partition Coefficient of 0.84 compared to 0.74 in FCM, while other evaluation metrics indicate comparable structural quality between methods. These findings indicate that FPCM provides a more interpretable and robust framework for decision-making under uncertainty.
Co-Authors Anisa Fitri M. Husen Al Farisy M. Ivan Ariful Fathoni Nabila Alisa Rohmah