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Jurnal Matematika
Published by Universitas Udayana
ISSN : 16931394     EISSN : 26550016     DOI : https://doi.org/10.24843/JMAT
Core Subject : Education,
Mathematics
This journal encompasses original research articles, review articles, and case studies, including those in Mathematics and Its Application. Scope of Journal: Analysis, algebra, topology, graph, approach of numerical simulation, also known as numerical analysis, optimum controls, queuing issues, optimization, finance, biomatematics, industrial mathematics, financial mathematics, and others.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 7 Documents
 1 
Analisis Model Struktural Penyusunan Minat Berkunjung Kembali Masyarakat pada Event Maen Jaran di Sumbawa Koko Hermanto; Tamara Exanti Olifia
Jurnal Matematika Vol. 15 No. 2 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Science, Udayana University Gedung UKM, Ruang UKM 8 Lt 1, Kampus Bukit Jimbaran, Badung-Bali.

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2025.v15.i02.p187

Abstract

One of the advantages of Sumbawa Regency is its cultural diversity, the tradition of horse racing or commonly called the Maen Jaran Event (in Sumbawa language) is part of the culture and entertainment that has been preserved for centuries in Sumbawa. In efforts to preserve culture, especially traditional arts, it is increasingly difficult along with the development of the times and current globalization trends. Based on the results of observations there are several factors found in the Maen Jaran event there are several things that are less satisfied felt by visitors, namely the lack of facilities provided such as the lack of visitor stands, lack of trash cans, and parking spaces that are still relatively limited and the location where the Maen Jaran event is held far, visitors are less likely to leave because the location is quite far from their location point so that it will have an impact on the interest in returning when visitors get an uncomfortable experience or impression in assessing the quality of the event held. So to increase the interest in returning to the Maen Jaran event in Sumbawa, it is necessary to conduct a large analysis of visitor satisfaction, visitor experience, event quality and location on the interest in returning.Based on these problems, it is necessary to analyze the public’s intention to revisit the Maen Jaran event regarding visitor satisfaction, visitor experience, event quality, and location. In this study, a survey was conducted first and determined the research instrument used in collecting data, namely using a questionnaire with a non-probability sampling method, which must first determine the number of samples and distributed to 104 respondents. Furthermore, before conducting the SEM analysis, the instrument was tested for validity and reliability with a loading factor value that met the criteria (> 0.60). The method in this study was Structural Equation Modeling (SEM) with the Lisrel 8.80 software approach. Based on the results of the study, visitor satisfaction has a -28% relationship with the intention to revisit, visitor experience has an 84% relationship with the analyzed intention to revisit, event quality has a 5.1% relationship with the intention to revisit, while the location has a 24% relationship with the intention to revisit. The results of the study are expected to be a reference in decision making for Maen Jaran event organizers to maintain and increase public interest in visiting the Maen Jaran event.
Unit, Irreducible, and Prime Elements of The Integral Domain Z[sqrt (5)] Daisyah Alifian Fatahillaj
Jurnal Matematika Vol. 15 No. 2 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Science, Udayana University Gedung UKM, Ruang UKM 8 Lt 1, Kampus Bukit Jimbaran, Badung-Bali.

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2025.v15.i02.p191

Abstract

In abstract algebra at the undergraduate level, the ring Z[sqrt(5)] is often used as a simple example of an integral domain that does not satisfy the unique factorization domain (UFD) but Z[sqrt(5)] is Halfway Factorial Domain (HFD). Unlike the ring of integers (Z) or the Gaussian integers (Z[i]) . Z[sqrt(5)] contains elements that admit non-unique factorizations, making it an interesting subject of study. A key challenge in analyzing the structure of lies in its limited group of units, consisting only of +-1, as well as the existence of irreducible elements that are not necessarily prime. This phenomenon leads to ambiguity in factorization, necessitating a deeper investigation into its arithmetic properties. This research aims to explore the factorization characteristics in Z[sqrt(5)], analyze irreducible elements and their relation to primality, and examine the implications of non-unique factorization on its algebraic structure. The findings are expected to contribute to a more comprehensive understanding of quadratic rings and their applications in number theory.
Penerapan Rantai Markov Dalam Memprediksi Probabilitas Return INDF Dian Firmayasari S; Nurhalisa; Izhar Taufiq Hidayat
Jurnal Matematika Vol. 15 No. 2 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Science, Udayana University Gedung UKM, Ruang UKM 8 Lt 1, Kampus Bukit Jimbaran, Badung-Bali.

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2025.v15.i02.p189

Abstract

Investing in stocks in the capital market not only provides profits but also involves various potential risks that may arise in stock investments. Investments are made to generate returns, so it is necessary to calculate the returns. In predicting stock prices. One method that can be used is the Markov chain method. Stock price movements can be categorized as a Markov chain, where patterns may repeat, but the exact timing of their occurrence cannot be precisely determined. The objective of this study is to predict the return on INDF stock from April 2025 to July 2025 using the Markov chain method. The research results indicate that, based on the obtained results, it can be concluded that by the 7th day, the INDF stock return has reached a steady state or stable condition. This means that the prediction of the INDF stock return no longer depends on the initial condition (first day) or the probability of the return does not change on subsequent days. In other words, the probability of the stock return experiencing a loss, remaining the same, or achieving a gain is 34% for the next day.
Analysis of Environmental Factors On The Risk Of Drug Abuse Using Naïve Bayes And Decision Tree Data Mining Algorithms Fitra Galatya Putry; Besse Helmi Mustawinar; Fitriani A
Jurnal Matematika Vol. 15 No. 2 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Science, Udayana University Gedung UKM, Ruang UKM 8 Lt 1, Kampus Bukit Jimbaran, Badung-Bali.

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2025.v15.i02.p188

Abstract

This study aims to analyse and compare the performance of the Naïve Bayes classification model and Decision Tree C5.0 in predicting environmental risk factors for drug abuse in Palopo City. The research data come from the Badan Narkotika Nasional Kota Palopo, comprising a total of 74 data points with environmental label attributes and five main attributes. The data were processed through feature selection stages using Random Forest and model validation using the Leave-One-Out Cross-Validation (LOOCV) method to obtain unbiased performance estimates. The results show that personality is the most dominant attribute in determining environmental factors for drug abuse. In the performance comparison, the Naïve Bayes algorithm proved superior with an overall accuracy of 50.00% and a Mean Balanced Accuracy of 62.33%, surpassing Decision Tree C5.0 (accuracy of 47.30%). The main implication of this finding is that the Naïve Bayes model exhibits high specificity (79.39%), making it a reliable tool for early screening to validate the safety of the social environment. Practically, these findings suggest that BNNK Palopo prioritise interventions that focus on strengthening psychosocial aspects (personality) and utilise the Naïve Bayes model for more efficient and targeted resource allocation.
Pemodelan Angka Kemiskinan dengan Geographically Weighted Panel Regression (GWPR) di Provinsi Aceh Gusti Ayu Ariska Citra Dewi; Ni Luh Putu Suciptawati; Made Susilawati
Jurnal Matematika Vol. 15 No. 2 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Science, Udayana University Gedung UKM, Ruang UKM 8 Lt 1, Kampus Bukit Jimbaran, Badung-Bali.

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2025.v15.i02.p192

Abstract

Aceh Province is one of the provinces in Indonesia that still faces poverty problems. Aceh prov-ince occupies first position with the highest percentage of poor people for the island of Suma-tra. This indicates that there are still weaknesses in the programs and policies implemented by the Aceh provincial government in alleviating poverty. Observations related to this are needed to find out the factors that influence the problem of poverty along with repeated observations so that we can observe changes in the percentage of poor people that occur from year to year. One regression analysis that can be used to model this problem is geographically weighted panel regression (GWPR). This research aims to model the poverty rate and determine the var-iables that significantly influence the poverty rate in districts/cities in Aceh Province. Predictor variables that are thought to influence poverty in this study include life expectancy, per capita expenditure, gini ratio, open unemployment rate, and average years of schooling. The selection of the best model is shown through the coefficient of determination value. Based on the analysis results, the largest coefficient value was obtained in the GWPR model with 78.6% compared to the FEM panel data regression model with 73.4%.
Perhitungan Premi Asuransi Pertanian Padi Terhadap Indeks Curah Hujan di Kabupaten Aceh Utara Dara Irsalina; Ahmad Hadra Zuhri; Rini Oktavia; Komang Nonik Afsari Dewi; Farhani
Jurnal Matematika Vol. 15 No. 2 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Science, Udayana University Gedung UKM, Ruang UKM 8 Lt 1, Kampus Bukit Jimbaran, Badung-Bali.

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2025.v15.i02.p190

Abstract

Northern Aceh stands as a crucial pillar of Aceh's economy, particularly in the agricultural sector. However, since 2019, agricultural production in Northern Aceh has been declining due to climate change, resulting in significant losses for many farmers in the region. This study aims to calculate the rice crop insurance premium against the rainfall index in Northern Aceh using the Black-Scholes model, assuming no transaction costs and a constant interest rate. By using rainfall and rice productivity data from 2020 to 2023, the results show that the premium to be paid by farmers is IDR 3,615,559 when the rainfall trigger value is 42.01mm. Conversely, when the trigger value is 44.40mm, the premium increases to IDR 3,710,713. This indicates that as the rainfall value increases, the premium that must be paid also rises.
Small Area Estimation Untuk Mengestimasi Persentase Kebutuhan Rumah Sederhana di Kabupaten Buleleng Luh Devi Maharani Mecker; I Komang Gde Sukarsa; I Wayan Sumarjaya
Jurnal Matematika Vol. 15 No. 2 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Science, Udayana University Gedung UKM, Ruang UKM 8 Lt 1, Kampus Bukit Jimbaran, Badung-Bali.

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2025.v15.i02.p193

Abstract

Data is a source of information to support the decision-making process of the object under study so that the availability of data is important to fulfill. Survey as one of the techniques used to provide data has weaknesses such as area parameters outside the design cannot be explained by the statistics generated. Small area estimation (SAE) is an indirect estimator method that can overcome the problems of survey data. SAE is used to estimate population or subpopulation parameters with limited sample size to produce statistics that are as precise as direct estimators. The general approach used in SAE is EBLUP. The topic in this research is the need for simple houses in Buleleng Regency. By estimating the percentage of simple housing needs for each sub-district in Buleleng through direct estimation and EBLUP, the results show that the estimation value of the direct estimator is not more precise than EBLUP indicated by the MSE output of the direct estimator which is greater than EBLUP. Based on the output of the estimation results with the EBLUP method, the results show that the highest and lowest percentage of housing needs are in Sukasada Sub-district at 67.05% and Banjar Sub-district at 37.19%, respectively.

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