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All Journal Kubik Jurnal Sains Matematika dan Statistika Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) International Journal on Emerging Mathematics Education Jurnal Tadris Matematika Beta: Jurnal Tadris Matematika Jurnal Cendekia : Jurnal Pendidikan Matematika Ideas: Jurnal Pendidikan, Sosial dan Budaya LINEAR: Journal of Mathematics Education Kognitif: Jurnal Riset HOTS Pendidikan Matematika Jurnal Riset Mahasiswa Matematika Jurnal Tadris Matematika
Turmudi, Turmudi
Universitas Islam Negeri Maulana Malik Ibrahim Malang
Arts Humanities Computer Science & IT Education Library & Information Science Mathematics Social Sciences Other

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Penerapan F-AHP dan MOORA dengan Matriks Terbobot dalam Menentukan Prioritas Kebutuhan Tenaga Kesehatan Adellia Fitria Marta Dewi; Turmudi Turmudi; Achmad Nashichuddin
Jurnal Riset Mahasiswa Matematika Vol 5, No 4 (2026): Jurnal Riset Mahasiswa Matematika
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v5i4.42222

Abstract

Penelitian ini menerapkan Fuzzy Analytic Hierarchy Process (F-AHP) dan Multi Objective Optimization on the Basis of Ratio Analysis (MOORA) untuk menentukan prioritas kebutuhan tenaga kesehatan pada 20 negara di wilayah Eropa dan Asia Tengah. Enam kriteria digunakan, yaitu jumlah dokter, perawat, bidan, dokter gigi, tenaga farmasi, dan luas daratan. Data diperoleh dari World Health Organization (WHO) dan Worldometer. Metode F-AHP digunakan untuk menentukan bobot kriteria melalui matriks perbandingan berpasangan berbasis Triangular Fuzzy Number (TFN), sedangkan MOORA digunakan untuk menghitung nilai preferensi dan peringkat alternatif melalui matriks terbobot. Hasil F-AHP menunjukkan bahwa jumlah dokter memiliki bobot tertinggi, diikuti jumlah perawat, bidan, dokter gigi, tenaga farmasi, dan luas daratan. Hasil MOORA menunjukkan bahwa San Marino, Andorra, dan Montenegro menjadi tiga alternatif dengan prioritas tertinggi. Temuan ini menunjukkan bahwa integrasi F-AHP dan MOORA dapat menghasilkan proses pemeringkatan yang sistematis dan terukur. Namun, interpretasi hasil tetap perlu mempertimbangkan bahwa data yang digunakan bersifat absolut dan belum memperhitungkan rasio tenaga kesehatan terhadap jumlah penduduk.
On the Forgotten Index and Jacobson Graphs Associated with Integer Rings Modulo n Mohammad Nafie Jauhari; Shahnaz Latifatul Jannah; Turmudi Turmudi; Intan Nisfulaila
KUBIK Vol 9 No 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Department of Mathematics, Faculty of Science and Technology, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i2.39585

Abstract

This paper investigates the connections between the Jacobson graph and the algebraic properties of rings through the analysis of the Jacobson graph of the ring \mathbb{Z}_{3p}, where p is a prime number greater than 3. The Jacobson graph of a commutative ring R is constructed by taking the elements of R, excluding its Jacobson Radical, as vertices, and connecting two distinct vertices if 1 minus their product is not a unit in R. The F-Index is utilized to capture and represent the structural properties of the ring through its associated graph. A detailed examination of the Jacobson Radical, maximal ideals, and vertex degrees in \mathbb{Z}_{3p} leads to the calculation of the F-Index, providing insights into the graph’s connectivity and underlying algebraic structure. This study contributes to the intersection of algebra and graph theory, offering a foundation for further research into more complex algebraic structures.
Komunikasi Matematis: Profil Siswa dalam Menyelesaikan Masalah Kontekstual Secara Kolaboratif Andini Endah Sri Mulyani; Wahyu Henky Irawan; Imam Sujarwo; Abdussakir Abdussakir; Turmudi Turmudi
Jurnal Tadris Matematika Vol. 7 No. 2 (2024)
Publisher : Universitas Islam Negeri Sayyid Ali Rahmatullah Tulungagung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21274/jtm.2024.7.2.237-250

Abstract

The development of the 21st century demands that students not only have the ability to think critically and creatively, but also communication skills, especially in mathematics learning. However, various studies show that students still have difficulty communicating their mathematical ideas, both verbally and in writing, especially when working in groups and facing contextual problems. The purpose of this study is to describe the mathematical communication profile of students in solving contextual problems collaboratively reviewed based on high, medium, and low self-efficacy. A qualitative approach with an exploratory research type is used in this study. The subject of the study is a student of class XI MAN 2 Malang. The research data were obtained through the results of the Contextual Problem Solving Task (TPMK) and interviews. Data analysis was carried out by the triangulation method. The results showed that students with high self-efficacy tended to communicate their mathematical ideas orally. Students with self-efficacy showed balanced verbal and written communication but were less consistent in explaining mathematical models and operations, while students with low self-efficacy were more dominant in written communication.
Co-Authors Abdussakir Abdussakir Abdussakir Abdussakir Ach. Nashichuddin Adellia Fitria Marta Dewi Aisyah Rafi' Addani Andini Endah Sri Mulyani Andini Endah Sri Mulyani Anisah Salsabila Anisatur Rizqiyah Asnawi, Muhammad Hasan Atiqotur Royyani Daniel Chandra Edy Bambang Irawan Elly Susanti Elly Susanti Elly Susanti Elly Susanti Elly Susanti Elly Susanti Erni Anggraini Evawati Alisah Hadi, Heri Sopian Harini, Sri Imam Sujarwo Imam Sujarwo Ina Maya Sabara Intan Nisfulaila Ipung Yuwono Jamilatul Maghfiroh Liny Mardhiyatirrahmah Lubab, Ahmad M. Gunawan Supiarmo Marhayati Mohammad Nafie Jauhari Muhammad Irfan Afandi Muhammad Khudzaifah Niken Dwi Cahyanti Novita Erni Hendrawati Nur Fuad Kholiqul Huda Nur Wiji Sholikin Nuri Fatihatul Fariha Nurlatifah Rangkuti Rifqoh Thoyyibah Rizqiyah, Anisatur Shahnaz Latifatul Jannah Siti Nur Fadlilah Sri Harini Sri Harini Sri Harini Susanti, Elly Wahyu Henky Irawan Zulfatul Aufia