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Pengelompokan Jumlah Wisatawan Nusantara Menggunakan Fuzzy Learning Vector Quantization Fauzan, Fauzan; Yulianto, Tony; Faisol, Faisol; Yudistira, Ira; ku, Kuzairi
UJMC (Unisda Journal of Mathematics and Computer Science) Vol 10 No 1 (2024): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department, Faculty of Mathematics and Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v10i1.7277

Abstract

Tourism is a variety of tourist activities and support from facilities and services provided by interested parties, such as the community, entrepreneurs and the goverment. Tourists are people who visit a destination outside of their daily activities within a certain period of time. There are several provinces that are classified as having minimal tourists, so they require government evaluation in providing good services in order to increase tourists in terenst in provinces that are classified as having minimal tourists. Therefore, to group the number of tourists, research will be carried out using a combination of data mining and fuzzy logic, namely the fuzzy learning vector quantization method. The research results obtained: For Euclidean Distance, there are 10 provinces in cluster 1 and there are 24 provinces in cluster 2. For squareeuclidean distance, there are 32 provinces in cluster 1 and there are 2 provinces in cluster 2. For city block distance there is 1 province which is included in cluster 1 and there are 33 provinces which are included in cluster 2. For the Chebychev distance there are 10 provinces which are included in cluster 1 and there are 24 provinces which are included in cluster 2. The final result which was chosen as the best is Euclidean however after checking the validity method it is in the formula squareeuclidean with value of PC= 8.32165E+26, CE=-8.94064E+14, and IFV= -1.4892E+13
Modeling the Spread of Hepatitis B Disease from the SEIR Model in East Java Using RKF 45 Sakinun Na'malia; Faisol Faisol; Tony Yulianto
Tensor: Pure and Applied Mathematics Journal Vol 6 No 2 (2025): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol6iss1pp1-12

Abstract

Hepatitis B is an infectious disease that has a major impact on public health, especially in East Java Province with a high prevalence of cases. This study aims to model the spread of Hepatitis B using the SEIR model (Susceptible, Exposed, Infected, Recovered) and solved numerically with the Runge-Kutta Fehlberg method (RKF45). Simulation results for 10 years showed that the susceptible population decreased from to individuals, while the exposed compartment increased from to . The infected population peaked at around individuals in year 2 and decreased to individuals, while the cured population continued to increase until it reached at the end of the period. The SEIR model with the RKF45 method proved effective in describing the dynamics of the spread of Hepatitis B mathematically and can be utilized as a predictive tool in supporting public health policy.