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All Journal Jurnal Ilmu Dasar Jurnal Ilmiah Matematika
Anggoro, Vani Krismo
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Control & Systems Engineering Mathematics

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Application of Fuzzy TOPSIS Method as a Decision Support System for Achievement Student Selection Anggoro, Vani Krismo; Riski, Abduh; Kamsyakawuni, Ahmad
Jurnal ILMU DASAR Vol 24 No 1 (2023)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/jid.v24i1.16792

Abstract

Achievement student selection aims to appreciate students who have achieved an achievement, both in the academic and non-academic fields. This activity is carried out in stages, starting from departments, faculties, and universities, to the national level. In the selection process, several criteria were used: GPA, scientific work, presentation, English, and achievements were featured and involved several juries to avoid subjectivity in the assessment. This study aims to get the best results from the decision support system in Achievement student election in the Mathematics Department of Jember University. Therefore, we need the fuzzy TOPSIS method to avoid and minimize problems and to make multi-criteria decision-making easier. This study's ranking results were obtained from the fuzzy TOPSIS method and standardized assessment method (based on higher education guidelines). From the four candidates who participated in this selection, the two methods give different results in the last two ranks. The fuzzy TOPSIS method ranking shows the results sequentially for candidates B, C, A, and D. In contrast, and the standardized assessment method ranking shows the results sequentially for candidates B, C, D, and A. This difference is caused by the value of the criteria factor and the weight of the candidate criteria, but the fuzzy TOPSIS method is simpler than the standardized assessment method. So that it can be recommended for the next period achievement student election at the department, faculty, or university level.
Dimensi Metrik pada Hasilkali Kartesius Graf S_n×P_2 Anggoro, Vani Krismo; Rifda Izza
Jurnal Ilmiah Matematika Vol. 13 No. 1 (2026)
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26555/jim.v13i1.32146

Abstract

Misalkan diberikan graf sederhana G=(V,E) dengan v∈V adalah titik di G, dan W⊆V, dimana W={v_1,v_2,…,v_k }. Representasi jarak titik v∈V terhadap himpunan W, dinotasikan dengan r(v│W)=(d(v,v_1 ),d(v,v_2 ),…,d(v,v_k )). Himpunan W dikatakan himpunan pembeda di G jika representasi jarak untuk setiap pasangan dari titik-titik berbeda u,v∈V sehingga r(u|W)≠r(v|W). Himpunan pembeda yang memiliki kardinalitas minimum untuk graf G disebut dengan dimensi metrik yang dinotasikan dengan dim(G). Graf S_n×P_2 adalah graf hasil kali kartesius antara graf bintang dengan n titik dan graf lintasan dengan 2 titik, dengan V(S_n×P_2 )={w_(i1,) w_(i2,) c_1,c_2 ┤|1≤i≤n} dimana w_i1 menyatakan titik (daun) ke-i pada lapisan (layer) pertama, w_i2 menyatakan titik daun ke-i pada lapisan (layer) kedua, dan c_1,c_2 masing-masing adalah titik pusat pada lapisan pertama dan lapisan kedua. Dimensi metrik dari graf S_n×P_2 adalah dim⁡(S_n×P_2 )=n.
Co-Authors Abduh Riski, Abduh Ahmad Kamsyakawuni Rifda Izza