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All Journal Jurnal Statistika Universitas Muhammadiyah Semarang JMPM: Jurnal Matematika dan Pendidikan Matematika Desimal: Jurnal Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Dinamisia: Jurnal Pengabdian Kepada Masyarakat JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Penelitian dan Pengabdian Kepada Masyarakat UNSIQ Jambura Journal of Mathematics Jurnal Matematika UNAND Variance : Journal of Statistics and Its Applications ILKOMNIKA: Journal of Computer Science and Applied Informatics InPrime: Indonesian Journal Of Pure And Applied Mathematics Jurnal Statistika dan Aplikasinya Jambura Journal of Mathematics Education Indonesian Journal of Applied Research (IJAR) JAMBURA JOURNAL OF PROBABILITY AND STATISTICS Jurnal Diferensial Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi International Journal of Health, Economics, and Social Sciences (IJHESS) Griya Journal of Mathematics Education and Application Unnes Journal of Mathematics MATHunesa: Jurnal Ilmiah Matematika Journal of Fundamental Mathematics and Applications (JFMA) Research in the Mathematical and Natural Sciences Research Review: Jurnal Ilmiah Multidisiplin Pattimura International Journal of Mathematics (PIJMath) Bulletin of Applied Mathematics and Mathematics Education Jurnal Riset Mahasiswa Matematika Jurnal Pengabdian Pada Masyarakat Indonesian Journal of Mathematics and Applications Hexagon: Jurnal Ilmu dan Pendidikan Matematika Journal of Mathematics, Computation and Statistics (JMATHCOS) System Information and Computer Technology (SYNCTECH) Indonesian Journal of Computational and Applied Mathematics
Salmun K. Nasib
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ANALISIS PERPINDAHAN PENGGUNAAN APLIKASI TRANSPORTASI ONLINE MENGGUNAKAN RANTAI MARKOV Salmun K. Nasib; Nurwan Nurwan; I Wayan Can Aryasandi; Isran K. Hasan; Asriadi Asriadi
Jurnal Matematika UNAND Vol 13, No 1 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.1.26-40.2024

Abstract

The purpose of this study is to find out the opportunities for switching to the use of online transportation applications and predict the future use of online transportation applications by Gorontalo State University students using the Markov chain. The data used in this study are primary data obtained through questionnaires. The results of the prediction of the proportion for future market share show that the proportion of users of the Maxim transportation application is 82.89%, Grab is 7.75%, Gojek is 5.06% and InDriver is 4.48%.
Analisis Peluang Jangka Panjang Mesin Penggilingan Padi Menggunakan Rantai Markov Nasib, Salmun K.; Hasan, Riyanto; Djakaria, Ismail; Payu, Muhammad Rezky Friesta; Nuha, Agusyarif Rezka; Nashar, La Ode
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.25280

Abstract

The reliability of the machinery greatly affects the long-term potential of the grinding of pepper in Mustika village, Paguyaman district, and Boalemo district. The smoothness of the production process depends heavily on the condition of the machine, and if the machine's reliability is disrupted, then it will affect production. The purpose of this study is to determine the probability of the steady state of the machine and the timing of the maintenance of the grinding machine in the Mustika Village of Boalemo district. The Markov chain is a method used to deal with the purpose, whereas the Markov chain is the method used for predicting future events. The final result was an ergodic transition chance matrix, resulting in an estimated best maintenance time of 28 days of use with a steady state chance of 62.27\% of the machine being in good condition, 27.8\% in mild damage, and 9.93\% in severe damage.
Existence and Uniqueness of Fixed Point for Cyclic Mappings in Quasi-αb-Metric Spaces Al Idrus, Ainun Sukmawati; Resmawan, Resmawan; Payu, Muhammad Rezky Friesta; Nasib, Salmun K.; Asriadi, Asriadi
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol 4, No 1 (2022)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/inprime.v4i1.24462

Abstract

The fixed point theory remains the most important and preferred topic studied in mathematical analysis. This study discusses sufficient conditions to prove a unique fixed point in quasi-αb-metric spaces with cyclic mapping. The analysis starts by showing fulfillment of the cyclic Banach contraction and proving the Cauchy sequence as a condition for proving a unique fixed point in quasi-αb-metric spaces with cyclic mapping. Furthermore, it's shown that the cyclic mappings, T have a unique fixed point in quasi-αb-metric spaces. Finally, an example is given to strengthen the proof of the theorems that have been done.Keywords: fixed point theory; Quasi -Metric spaces; Cyclic Banach Contraction; Cauchy sequence. AbstrakTeori titik tetap termasuk salah satu topik penting dan menarik untuk diteliti pada bidang analisis. Pada penelitian ini, dibahas tentang syarat cukup dalam membuktikan bahwa terdapat titik tetap tunggal dalam ruang quasi- b-metrik pada pemetaan siklik. Analisis diawali dengan menunjukkan pemenuhan kondisi kontraksi Banach siklik dan pembuktian barisan Cauchy sebagai syarat pembuktian bahwa terdapat titik tetap tunggal pada pemetaan siklik dalam ruang quasi- b-metrik. Selanjutnya ditunjukkan bahwa pemetaan siklik  memiliki titik tetap tunggal dalam ruang quasi b-metrik. Terakhir, diberikan contoh untuk memperkuat pembuktian teorema yang telah dilakukan.Kata Kunci: teori titik tetap; ruang Quasi -Metrik; Kontraksi Banach Siklik; barisan Cauchy.
Bilangan Terhubung Pelangi pada Graf Ferris Wheel (Fw_n) Lakisa, Narti; Nurwan, Nurwan; Nasib, Salmun K.; Yahya, Nisky Imansyah
JMPM: Jurnal Matematika dan Pendidikan Matematika Vol 7 No 1 (2022): March - August 2022
Publisher : Prodi Pendidikan Matematika Universitas Pesantren Tinggi Darul Ulum Jombang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26594/jmpm.v7i1.2337

Abstract

Pada penelitian ini didefinisikan graf baru yang dinamakan graf ferris wheel yang dinotasikan dengan Fw_n. Graf ferris wheel dengan 2n+1 titik dan 5n sisi dihasilkan dengan menggabungkan dua buah graf yaitu graf lingkaran dan graf roda dengan menambahkan sisi sebanyak 2n. Tujuan dari penelitian ini adalah menentukan bilangan terhubung pelangi pada graf ferris wheel dengan bilangan bulat positif n>=3 dengan langkah-langkah; menggambar graf ferris wheel, menentukan bilangan terhubung pelangi dan membuktikan teorema bilangan terhubung pelangi pada graf ferris wheel. Metode dalam penelitian ini adalah studi literatur. Hasilnya diperoleh bilangan terhubung pelangi pada graf ferris wheel yaitu rc(Fw_3 atau Fw_4)=2, rc(Fw_5 atau Fw_6)=3, rc(Fw_7 atau Fw_8)=4, rc(Fw_9 atau Fw_10)=5, dan rc(Fw_n)=j+6 jika n=3j+11, 3j+12, dan 3j+13 untuk j>=0
Karakteristik Rantai Markov pada Data Curah Hujan Bulanan Stasiun Djalaluddin Nasib, Salmun K; Nurwan, Nurwan; Yanuari, Eka Dicky D; Macmud, Tedy
JMPM: Jurnal Matematika dan Pendidikan Matematika Vol 7 No 2 (2022): September 2022 - February 2023
Publisher : Prodi Pendidikan Matematika Universitas Pesantren Tinggi Darul Ulum Jombang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26594/jmpm.v7i2.2654

Abstract

Penelitian ini bertujuan untuk menganalisis karakteristik model rantai Markov pada data curah hujan bulanan. Data curah hujan bulanan dibagi dalam tiga state yaitu kering, lembab, dan basah. Sebagian besar data terkategorikan pada state 3 yaitu kondisi basah sebesar 54,41%. Berdasarkan hasil evaluasi data curah hujan di Stasiun Djalaluddin, memiliki curah hujan yang cukup tinggi dengan presentase diatas 50%. Peluang transisi tertinggi adalah  sebesar 61,9% dimana peluang transisi dari kondisi basah kembali ke kondisi basah lebih besar daripada peluang menuju kondisi kering atau lembab. Karakteristik rantai Markov data curah hujan bulanan menunjukkan kondisi yang tidak stabil dan kecilnya peluang transisi untuk berpindah ke kondisi lainnya.
Evaluation of the Adaptive Fuzzy Neuro Inference System and Fuzzy Model Time Series Markov Chains in Forecasting Crude Oil Prices Hinelo, Ikrar Prasetyo; Nuha, Agusyarif Rezka; Hasan, Isran K; Nasib, Salmun K; Abdussamad, Siti Nurmardia
Journal of Mathematics, Computations and Statistics Vol. 8 No. 1 (2025): Volume 08 Nomor 01 (April 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i1.6763

Abstract

The development of a country's economy is greatly influenced by global economic conditions, given the increasingly close links between countries through economic relations and international cooperation. One of the main factors in economic growth is international trade, particularly export and import activities. Crude oil is one of the most actively traded commodities. Given the highly volatile crude oil market, accurate price forecasts are crucial in economic and financial decision-making. This study compares the performance of Adaptive Neuro-Fuzzy Inference System (ANFIS) and Fuzzy Time Series Markov Chain (FTSMC) in forecasting the price of West Texas Intermediate (WTI) crude oil using time series data from 2020 to 2024 with saturated sampling technique. The implementation of both methods is carried out through Matlab Online and R-Studio software, with results showing that ANFIS has higher accuracy than FTSMC, as evidenced by the Mean Absolute Percentage Error (MAPE) value of 1,8010% for ANFIS and 3,7567% for FTSMC. Further analysis shows that ANFIS with a triangular membership function as well as significant lags at lag 1, lag 3, lag 4, and lag 7 is able to produce more accurate predictions and match the trend of actual data. Therefore, ANFIS is recommended as a more effective method in forecasting WTI crude oil prices, which can provide valuable insights for policy makers and industry stakeholders.
Optimization of LightGBM Model with Bayesian Optimization for Malware Detection Kasim, Afrianto Pratama; Nasib, Salmun K.; Hasan, Isran K.; Wungguli, Djihad; Yahya, Nisky Imansyah
ILKOMNIKA Vol 7 No 1 (2025): Volume 7, Number 1, April 2025
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.28926/ilkomnika.v7i1.722

Abstract

Cyberattacks through malware on Android devices continue to rise, making accurate detection crucial. This research optimizes the LightGBM model using Bayesian Optimization to enhance accuracy and efficiency in detecting Android malware. A feature selection mechanism based on Attention Mechanism is applied to select the most relevant features for classification. The dataset used comes from the Canadian Institute for Cybersecurity (CIC) and consists of 17,804 Android applications, with a balanced distribution between malware and normal applications. The dataset is split into ratios of 80%:20%, 75%:25%, and 70%:30%. Feature selection reduces the number of features from 9503 to 300, 500, and 1000. The LightGBM model is then optimized with Bayesian Optimization to fine-tune parameters such as learning rate, number of iterations, and maximum number of leaves. The model's performance is evaluated using accuracy, precision, and recall metrics. Experimental results show that the model achieves 96,99% accuracy, 97,30% precision, and 96,70% recall with an 80%:20% dataset split and 1000 features. The combination of Attention Mechanism and Bayesian Optimization effectively improves processing efficiency without compromising performance.
Bilangan Terhubung Titik Pelangi pada Graf Garis, Graf Tengah, dan Graf Total dari Graf Panci Jusuf, Anryan; Nurwan, Nurwan; Yahya, Nisky Imansyah; Yahya, Lailany; Nasib, Salmun K.; Asriadi, Asriadi
Hexagon: Jurnal Ilmu dan Pendidikan Matematika Vol. 2 No. 2 (2024): October
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/hexagon.v2i2.10000.

Abstract

Salah satu konsep dalam bidang teori graf yang berkaitan erat dengan pewarnaan titik pelangi adalah bilangan terhubung titik pelangi. Sebuah graf G dikatakan terhubung titik pelangi jika terdapat setidaknya satu jalur yang menghubungkan titik-titik dengan warna yang berbeda. Konsep ini mengacu pada jumlah minimum warna yang dibutuhkan untuk mewarnai sebuah graf G sehingga graf tersebut terhubung dengan titik pelangi dan dilambangkan dengan rvc(G). Topik pewarnaan titik pelangi dapat dieksplorasi dalam berbagai bentuk pengembangan graf dengan memanfaatkan graf garis, graf tengah dan graf total. Graf garis L(G) adalah graf yang titik-titiknya merupakan sisi-sisi dari G, dan jika u, v ≥ E(G) maka uv ≥ E(L(G)) sedemikian sehingga u dan v saling berbagi titik di G. Graf tengah M(G), merupakan sebuah graf dengan himpunan titiknya merupakan gabungan antara kumpulan titik dan kumpulan sisi dari graf G. Sedangkan graf total T(G), yaitu graf yang titiknya didapatkan dari himpunan titim dan himpunan sisi dari graf G, dimana setiap titik V(G)saling terhubung. Pada penelitian ini, saya membahas bilangan terhubung titik pelangi yang terhubung pada graf garis, graf tengah dan graf total dari graf panci (Pnm) dengan m ≥ 6. Berdasarkan hasil yang diperoleh, didapatkan teorema bilangan terhubung titik pelangi pada graf garis dari graf panci rvc(L(Pn_m)), graf tengah dari graf panci rvc(M(Pn_m)), dan graf total dari graf panci rvc(T(Pn_m)).
Bilangan Terhubung Pelangi pada Graf Tengah dari Graf Ilalang Rauf, Dewi Nur Angriani; Achmad, Novianita; Yahya, Nisky Imansyah; Nurwan, Nurwan; Nasib, Salmun K.; Asriadi, Asriadi
Jurnal Riset Mahasiswa Matematika Vol 4, No 4 (2025): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v4i4.31475

Abstract

Bilangan terhubung pelangi yang dinotasikan dengan adalah jumlah warna terkecil yang diperlukan untuk mewarnai sisi-sisi dari sebuah graf  sehingga graf tersebut menjadi terhubung pelangi. Bilangan terhubung pelangi dapat dipelajari dalam berbagai bentuk pengembangan graf yang dimodifikasi, termasuk graf tengah.  Semua jenis graf, baik yang sederhana maupun yang kompleks, dapat direpresentasikan sebagai graf tengah. Sebuah graf tengah yang dinotasikan dengan  dibentuk dari sebuah graf dan didefinisikan sebagai . Dua buah simpul pada  bersisian jika dan hanya jika keduanya bersisian dengan sebuah sisi pada , atau salah satu simpul pada  bersisian dengan sebuah sisi pada . Penelitian ini membahas tentang pewarnaan pelangi pada graf tengah dari graf ilalang  dengan  dan  Berdasarkan penelitian diperoleh teorema pelangi bilangan terhubung pada graf tengah graf ilalang untuk 
Multicollinearity problem-solving with Jackknife Ridge Regression: A case study on slum conditions in Bone Bolango Adam, Dwi Putri Juniar; Nasib, Salmun K.; Adityaningrum, Amanda
Bulletin of Applied Mathematics and Mathematics Education Vol. 5 No. 1 (2025)
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/bamme.v5i1.12759

Abstract

Slum conditions in Indonesia, particularly in Gorontalo Province's Bone Bolango District, are a significant challenge to sustainable development. This research aims to identify the key factors contributing to slum conditions in the strategic economic areas of Kabila, Suwawa, and Tilongkabila using Jackknife Ridge Regression (JRR) analysis to address multicollinearity and overfitting issues. Data from the Regional Development Planning Board (BAPPEDA) Bone Bolango District's 2023 document was used, with a sample of 40 urban villages and villages. The result showed that there is a high collinearity between two independent variables, necessitating the use of JRR. The JRR model identified seven independent variables significantly related to slum value. The regression model explained 83% of the variability in slum conditions. This study provides methodological depth through the JRR framework, which enables accurate slum analysis where traditional models (like OLS) tend to fall short. It emphasizes the need for Bone Bolango to prioritize its policy initiatives by focusing on the seven independent variables. Additionally, the framework demonstrates scalability, making it adaptable to other Indonesian provinces that face similar challenges with slum data.
Co-Authors Abas Kaluku Abdul Wahab Abdullah Adam, Dwi Putri Juniar Adinda Pratiwi Musa Afifah Farhanah Akadji Agusyarif Rezka Nuha Ainun Sukmawati Al Idrus Akadji, Afifah Farhanah Al Idrus, Ainun Sukmawati Amanda Adityaningrum Ana Nadiyyah Armayani Arsal Asriadi Asriadi Asriadi Asriadi Asriadi Asriadi Biduli, Meiske Cindy Aisa Putri Noor Dewi Rahmawaty Isa Djahara A. Nusi Djihad Wungguli Fadilah Istiqomah Pammus Fatmawati, Ainun Fitria Djafar Fuji Fauzia Kiayi Gani, Friansyah Hasan S. Panigoro Hasan, Riyanto Hinelo, Ikrar Prasetyo I Wayan Can Aryasandi Imran, Nurain Indrawati Lihawa Isa, Jefri N. Ismail Djakaria Isran K Hasan Isran K. Hasan Isran K. Hasan Jusuf, Anryan Karmila Mokoginta Kasim, Afrianto Pratama La Ode Nashar Lailany Yahya Lakisa, Narti Macmud, Tedy Madonsa, Muhammad Rifai Mahmud, Sri Lestari Mahrifat Ismail Marukai, Nur Amalia Meitasya wolah Mohamad Taufik Hamani Mokodompit, Marcela Muhammad Rezky F. Payu Muhammad Rifai Katili Nathania Oktavia Gunawan Naue, Siti Nurmeylisya Ni Wayan Tiarawati Nikmatisni Arsad Ningsih, Setia Nisky Imansyah Yahya Nisky Imansyah Yahya Nisky Imansyah Yahya NISKY IMANSYAH YAHYA Nisky Imansyah Yahya Nisky Imansyah Yahya Novarianti Firdaus Nur Dhea Wahab Nurwan Nurwan Nurwan Nurwan, Nurwan Nur’ain Manoppo Putri Ayuningtias Mahdang Rahmi, Emli Rakhmat Jaya Lahay Rauf, Dewi Nur Angriani Resmawan Resmawan Rizal Usman Saiful Pomahiya Sembiring, Rinawati Sigar, Tesya Siti Nurmardia Abdussamad Stella Junus Sumarno Ismail Sumarno Ismail Syahrizal Koem Taha, Dennynatalis Trieke Nurfadilah Harun Yanuari, Eka Dicky D Zian Bula