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Journal : Journal of Mathematics, Computation and Statistics (JMATHCOS)

Implementasi Partitioning Around Medoids Pada Visualisasi Penyebaran Penyakit DBD di Sumatera Utara Fadillah, Wahyu Nur; Rangkuti, Yulita Molliq; Karo, Ichwanul Muslim
Journal of Mathematics, Computations and Statistics Vol. 6 No. 2 (2023): Volume 06 Nomor 02 (Oktober 2023)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

This research aims to develop a Geographic Information System (GIS) using the PartitioningAround Medoids (PAM) method in mapping dengue hemorrhagic fever (DHF) cases in North SumatraProvince. DHF has symptoms of high fever, bleeding, and a high mortality rate if not treated quickly.Therefore, mapping DHF cases is very important in efforts to tackle and prevent this disease. The PAMmethod was used in this study to cluster the DHF case data based on similar characteristics. The firstcluster consists of 18 districts/municipalities is a low cluster, the second cluster consists of 3districts/municipalities is a high cluster, and the third cluster consists of 3 districts/municipalities is amedium cluster. The implementation of PAM is done by using the Minkwoski distance calculation methodwhere the application of the distance will be tested with the Silhouette Index on several numbers of clusters.The best number of clusters for PAM implementation is 3 clusters with a Silhouette Index value of 0.5275.
Determining Tourist Destination Priorities Using Website-Based Particle Swarm Optimization Methods (Case Study : North Padang Lawas Regency) Salsabila, Aqila; Molliq Rangkuti, Yulita; Muslim Karo Karo, Ichwanul; Iskandar Al-Idrus , Said
Journal of Mathematics, Computations and Statistics Vol. 7 No. 2 (2024): Volume 07 Nomor 02 (Oktober 2024)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v7i2.4233

Abstract

. Optimization of tourist routes is very important to minimize travel time and reduce travel costs. This study focuses on optimizing tourist routes in North Padang Lawas Regency using Multi Attribute Utility Theory (MAUT), and Particle Swarm Optimization (PSO) in the context of the Traveling Salesman Problem (TSP). This study discusses problems such as the lack of priority of tourist destinations and the need for shorter travel times. The research process includes problem identification, literature review, data collection through field observations and interviews, and data processing with MAUT to prioritize destinations. The identified priority destinations are Hotel Sapadia Gunung Tua, Barumun Nagari, Batik Sekar Najogi, Durian and Manggis Agrotourism, Rumah Makan Holat Alhamdulillah, Waterboom Gunung Tua, and Candi Bahal I, II, III. Furthermore, PSO is applied to determine the optimal travel route. PSO finds a route with a total travel time of 351 minutes, although the three-day travel time is extended to 375 minutes.
Distance Function Analysis on Fuzzy C-Means for Clustering Aquaculture Production in North Sumatra hafni, Nur; Rangkuti, Yulita Molliq; Karo, Ichwanul Muslim Karo
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.v8i1.6500

Abstract

Abstrac As a maritime country, Indonesia has considerable fisheries resource potential, including in North Sumatra. However, less than optimal management causes a gap between the demand and supply of cultivated fish in this region. This research aims to analyze the use of the Fuzzy C-Means (FCM) method in classifying aquaculture production in North Sumatra based on Regency/City and primary commodities. This research also compares three methods of measuring Euclidean, Manhattan, and Chebyshev distances to determine the best method for data clustering. The North Sumatra Central Statistics Agency (BPS) data for 2018-2022. The results showed that there were two clusters, namely cluster 1 consisting of 4 districts with high fisheries production and cluster 2 consisting of 29 districts with low fisheries production. Evaluation using the Modified Partition Coefficient shows that the Manhattan distance method has the highest MPC value of 0.922. These results indicate that of the three distance methods, the Manhattan method is the best for applying Fuzzy C-Means to classify aquaculture production in North Sumatra.
The Implementation of the DIANA Method to Map the Spread of Tuberculosis in North Sumatra Visualized on a Website : Mapping Tuberculosis Cases Using DIANA Clustering and Interactive Visualizations Gunawan, Rizky; Molliq Rangkuti, Yulita; Muslim Karo Karo, Ichwanul
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.v8i1.6590

Abstract

Tuberculosis disease has a high prevalence rate in North Sumatra, thus requiring an0 appropriate handling strategy. This article aims to map Tuberculosis cases in North Sumatra Province using the Divisive Analysis (DIANA) method visualized on a website. The DIANA method is used to cluster Tuberculosis case data based on certain characteristic patterns such as case rate, mortality rate, and cure rate. The DIANA (Divisive Analysis Clustering) clustering method starts with the entire data as one large cluster, which is then broken down gradually into smaller subclusters based on the level of dissimilarity between elements. Splitting starts from the element furthest from the cluster center, followed by evaluation of other elements to determine the corresponding cluster. This process continues until clusters are formed at the desired level of granularity. The results of the analysis show that clustering with the DIANA method produces clusters that separate areas with high, medium, and low case rates. Evaluation of clustering using the Davies Bouldin Index (DBI) showed the best value of 0.2943 in 2022. In addition, this article produces a Leafletjs-based interactive map to visualize the clustering results, so that it can be used to identify priority areas for intervention. From the mapping results, it was obtained that one district/city in North Sumatra, namely Medan City, entered the red zone, then Deli Serdang Regency was included in the orange zone, then Simalungun Regency, Binjai City, Langkat Regency, Mandailing Natal Regency, Serdang Bedagai Regency and Asahan Regency entered the yellow zone. Finally, there are 25 regencies/municipalities in the green zone consisting of Kab. West Nias, Kota Tebing Tinggi, Kab. Dairi, Kab. Pakpak Bharat, Kab. Padang Lawas Utara, Kota Tanjung Balai, Kab. Labuhan Batu Selatan, Kab. Karo, Kota Padangsidimpuan, Kab. Padang Lawas, Pematang Siantar City, Gunung Sitoli City, Sibolga City, South Nias Regency, Coal Regency, Samosir Regency, Humbang Hasundutan Regency, North Tapanuli Regency, Nias Regency, Central Tapanuli Regency, North Nias Regency, Labuhan Batu Regency, North Labuhan Batu Regency, South Tapanuli Regency, and Toba Samosir Regency.
Co-Authors Abil Mansyur, Abil Adawiah Hasyani, Rabiahtul Ade Amelia, Tasya Adidtya Perdana, Adidtya Aditia Sanjaya Ahyar, Khoirul Ananda Khosuri Angelina Prima Kurniati Anggraini, Nisa Putri Aqila Aqila, Aqila Azizul Azhar Ramli Azizul Azhar Ramli Bachruddin Saleh Luturlean Bakti Dwi Waluyo Darari, Muhammad Badzlan Daulay, Leni Karmila Dedy Kiswanto Dian Septiana Dimas Pebrian Supandi Esra Kristiani Sihite Ester Berliana Ritonga, Yolanda Eviyona Laurenta Br Barus Fadillah, Wahyu Nur Falah, Miftahul Fitri Rahayu Fitria, Nur Anisa Gea, Kurnia Mildawati Ginting, Manan Gunawan, Rizky Habibi, Rizki Haraha, Melyana Hariyanto HARIYANTO HARIYANTO Hariyanto Hariyanto Hariyanto, Hariyanto Hendriyana Hendriyana Heru Nugroho Husna Batubara, Shabrina Ida Ayu Putu Sri Widnyani Jodi Kusuma Juan Steiven Imanuel Septory Justaman Arifin Karo Karo Karo karo, Justaman Arifin Karo Karo, Justaman Arifin Landong, Ahmad Lorinez S, Yohana Manan Ginting Mardiana Mardiana Maretha Br. Simbolon, Silvana Maulana Malik Fajri Maulidna, Maulidna Melania Justice Panggabean Miftahul Falah Miftahul Falah Mohd Farhan Md Fudzee Mohd Farhan Md Fudzee Molliq Rangkuti, Yulita Mufida, Yasmin Muhammad Yusuf Mutiara Sihaloho, Laura Adelia Nasution, Aurela Khoiri Natasya, Amanda Nelza, Novia Nur Hafni Nurul Ain Farhana Nurul Ikhsan Panggabean, Suvriadi Permata Putri Pasaribu, Yohanna Purba, Desni Paramitha Putri Harliana Putri Maulidina Fadilah Ramadhani, Fanny Ramanti Dharayani Rangkuti, Y. M Reinaldo Kenneth Darmawan Rennyta Yusiana Retno Setyorini Roby Dwi Hartanto Rohmat Saragih Romia Romia Said . Iskandar Salsabila, Aqila Shahreen Kasim Shahreen Kasim Simamora, Elmanani Sisti Nadia Amalia Sri Dewi Sri Dewi Sri Dewi Sri Dewi Sri Suryani Supra Yogi Syahrin , Alvin Valentino, Bob Wahyu Nur Fadillah Wardhani Muhamad Warjaya, Angga Wibowo, Adinda Widi Astuti Winsyahputra Ritonga Yahya Peranginangin Yulita Molliq Rangkuti Yulita Molliq Rangkuti Yulita Molliq Rangkuti Yulita Molliq Rangkuti Yunianto Yunianto Yunianto Yunianto Yunianto Yunianto, Yunianto ZK Abdurahman Baizal