Penerapan Matriks sebagai Bagian dari Sistem Pendukung Keputusan dalam Pemilihan Siswa Terbaik di MA Miftahunnajah Sleman
Keywords:
algebra, optimization, forecasting, modeling, decision support systemAbstract
This study implements matrices as a tool for selecting the best grade XII students at MA Miftahunnajah Sleman using Simple Additive Weighting (SAW) and Analytical Hierarchy Process (AHP). The criteria were identified through academic observation, while criterion weights were obtained from questionnaires completed by three respondents. The data were arranged in a decision matrix, normalized, and calculated through SAW weighting and preference matrices. AHP analysis involved pairwise comparison matrices, normalization, eigenvector calculation, and consistency testing. Although the AHP comparison matrix was not fully consistent, the calculation was continued because the study was exploratory. The final decision was obtained by comparing SAW and AHP results using a mode approach. The results identified Anindia Bintang Ramadani as the best male student and Layla Amrina Rosyada as the best female student. This study shows that matrix-based decision support can improve objectivity in multi-criteria student selection.
References
Abdi, H. (2022). Normalizing Data. https://doi.org/10.2307/j.ctv1n1bs5c.11
Bose, A. (2022). Consistency re‐evaluation in analytic hierarchy process based on simulated consistent matrices. J. Multi-Crit. Decis. Anal. https://doi.org/10.1002/mcda.1784
Chaube, S., Pant, S., Kumar, A., Uniyal, S., Singh, M.K., Kotecha, K., Kumar, A. (2024). An Overview of Multi-Criteria Decision Analysis and the Applications of AHP and TOPSIS Methods. Int. J. Math. Eng. Manage. Sci. https://doi.org/10.33889/ijmems.2024.9.3.030
Fahrurrozi, M., Witanti, L. (2024). Decision Support System Design to Determine the Feasibility of Students Staying in the Dormitory Using the Simple Additive Weighting Method. ResearchGate.
Fuadi, R.S., Sarah, I.S., Ramdania, D.R., Lukman, N., Irfan, M. (2021). Implementation of Analytical Hierarchy Process (AHP) and Simple Addative Weighting (SAW) methods in the process of determining Teacher certification participants. https://doi.org/10.1088/1757-899X/1098/3/032048
Groenwald, C.L.O. (2023). Meaningful Learning and Mathematical Modelling - Contributions to Dealing with Business Problem Situations in Higher Education. Acta Scientiae. https://doi.org/10.17648/acta.scientiae.7667
Hermansyah, M., Fauziah, D.A., Muliawan, A. (2023). Decision Support System for Identifying Best Students in the Class with Simple Additive Weighting (SAW) Method. https://doi.org/10.31967/inside.v1i1.866
Hulu, A.A., Mesran, M., Lubis, J.H. (2022). Penerapan Metode SAW (Simple Additive Weighting) Dalam Menentukan Juara Perlombaan Vocal Group. Terapan Inform. Nusant. 2(11): 1501. https://doi.org/10.47065/tin.v2i11.1501
Ismayadi, I., Samudra, A.A., Junaidi, S. (2022). Sistem Pendukung Keputusan Pemilihan Siswa Berprestasi Menggunakan Metode Simple Additive Weighting (SAW) Di SMA Negeri 1 Siberut Selatan. J. Inform. Kaputama (JIK) 6(2): 112. https://doi.org/10.59697/jik.v6i2.112
James, N., Loganathan, S., Nathan, R.J., Victor, V.S.R., Ng, P.K. (2022). Integrated fuzzy AHP and TOPSIS as innovative student selection methodology at institutions of higher learning. Hum. Syst. Manage. https://doi.org/10.3233/hsm-220046
Kuasa, A. (2024). Metode SAW dalam pengambilan keputusan multikriteria. J. Pengambilan Keputusan 12(3): 99-110.
Kurniawati, D., Lenti, F.N., Nugroho, R.W. (2021). Implementation of AHP and SAW Methods for Optimization of Decision Recommendations. https://doi.org/10.32535/JICP.V4I1.1152
Kusrini, M. (2007). Konsep dan Aplikasi Sistem Pendukung Keputusan. Yogyakarta: Andi Offset.
Lata, S., & Sharma, P. (2024). Traits and Helpful Qualities of a Matrix. 555–559. https://doi.org/10.1201/9781032665443-77
Masta, A., Kristanto, Y.D., Yulfiana, E., Taqiyuddin, M. (2021). Matematika tingkat lanjut untuk SMA kelas XI. Pusat Perbukuan, Badan Standar, Kurikulum, dan Asesmen Pendidikan, Kementerian Pendidikan, Kebudayaan, Riset, dan Teknologi Republik Indonesia.
Millward, P. (2022). Matrices for Composite Materials. https://doi.org/10.1201/9780429330575-7
Naibaho, E. (2023). Penerapan metode SAW untuk seleksi penerima beasiswa di STMIK Mulia Darma.J. Jatilima 6(1): 45-52.
Nashihuddin, F., Mubin, A.N. (2022). Penerapan Konsep Balanced Scorecard dan Objective Matrix Untuk Perancangan Sistem Pengukuran Kinerja Perusahaan. J. Indones. Sos. Teknol. https://doi.org/10.36418/jist.v3i2.366
Nedashkovskaya, N.I. (2022). Comparison Analysis of Prioritization Quality Criteria Using Paired Comparison Method of Prioritization. https://doi.org/10.1109/SAIC57818.2022.9923027
Nermend, K. (2023). Methods Based on Utility Function. Vector Optimization, 221–267. https://doi.org/10.1007/978-3-031-40538-9_5
Ozsahin, D.U., Ahmed, M., Uzun, B. (2021). Analytical Hierarchy Process (AHP).https://doi.org/10.1007/978-3-030-64765-0_3
Ramadhan, R. F., & Eliyen, K. (n.d.). Implementasi metode analytical hierarchy process pada penilaian mahasiswa berprestasi berbasis decision support system. https://doi.org/10.36499/jinrpl.v4i2.6692
Rangkuti, A.N. (2015). Statistik Untuk Penelitian Pendidikan.
Riyanti, Ali, Amril. (2022). Sistem Pendukung Keputusan Penerima Program Keluarga Harapan (PKH) dengan Metode PSI. Repository UIN Malang.
Rohman, A. (2022). Decision Support System Penentuan Jurusan Siswa Baru SMA Menggunakan Metode Simple Additive Weighting. https://doi.org/10.35473/.v1i2.1817
Romadhona, R., Permanasari, E., Suhaedi, A. (2022). Penerapan metode SAW dalam memilih alternatif terbaik pada proses pengambilan keputusan. J. Ilmu Komputer dan Sist. 18(2): 23-35.
Sadana, F., Yunita, Y., Rodiah, D. (2024). Decision Support System for Selection of Outstanding Students Using the AHP and SAW Methods. https://doi.org/10.36706/sjia.v5i1.61
Sutomo, R. (2023). Implementation of the SAW Method on the Employee Career Determination Website at PT. Hartono Palace of Technology. G-Tech. https://doi.org/10.33379/gtech.v7i2.2298
Taherdoost, H. (2023). Analysis of Simple Additive Weighting Method (SAW) as a Multi-Attribute Decision-Making Technique: A Step-by-Step Guide. J. Manage. Sci. Eng. Res. https://doi.org/10.30564/jmser.v6i1.5400
Thakkar, J.J. (2021). Analytic Hierarchy Process (AHP). https://doi.org/10.1007/978-981-33-4745-8_3
Utami, R.D., Saragih, N.M., Tanjung, Y. (2023). Penerapan metode profile matching dan fuzzy saw dalam menentukan sekolah madrasah ibtidaiyah terbaik. J. Indones.: Manaj. Inform. dan Komun. https://doi.org/10.35870/jimik.v4i1.181
