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EIGEN MATHEMATICS JOURNAL
Published by Universitas Mataram
ISSN : 26153599     EISSN : 26153270     DOI : -
Core Subject : Education,
Mathematics
Eigen Mathematics Journal mempublikasikan artikel yang berkontribusi pada informasi baru atau pengetahuan baru terkait Matematika, Statistika, dan Aplikasinya. Selain itu, jurnal ini juga mempublikasikan artikel berbentuk survey dalam rangka memperkenalkan perkembangan terbaru dan memotivasi penelitian selanjutnya dalam bidang matematika, statistika, dan aplikasinya.
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Articles 8 Documents
 1 
Search results for , issue "Vol. 6 No. 1 Juni 2023" : 8 Documents clear
Pemeriksaan Uji Kenormalan dengan Kolmogorov-Smirnov, Anderson-Darling dan Shapiro-Wilk Giatma Dwijuna Ahadi; Neni Nur Laili Ersela Zain
Eigen Mathematics Journal Vol. 6 No. 1 Juni 2023
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v6i1.131

Abstract

The normal distribution is an important assumption for many statistical methods. The t-distribution is similar to the normal distribution, but there are differences in variance and free degree depending on the sample size. Normality testing usually uses Kolmogorov-Smirnov, Anderson-Darling, and Shapiro-Wilk tests. Simulating was performed on data derived from normal distributions, t-distributions, and exponential distributions. In the N(10,2) generation data, it was found that the Shapiro-Wilk method was better than other methods, while in a large sample, it was found that the Anderson-Darling method was better than the other methods. The data for the generation of the distribution of t(1) shows that the cumulative value of rejecting  is close to 100%, meaning the data is not normally distributed. In a near-normal t(20) distribution, but not a normal data gain, Anderson-Darling and Shapiro-Wilk test performance showed good results. Meanwhile, in the t(100) generation data, the result was obtained that the most consistent cumulative value was the Anderson-Darling method. Furthermore, the Exp(1) data generator produces a cumulative value of rejecting  close to 100%, with the most consistent method being Kolmogorov-Smirnov. So it can be known that the normality test selection depends on the number of samples and the data distribution.
Some Properties of Rough Ideals on Rough Rings Fakhry Asad Agusfrianto; Lukita Ambarwati
Eigen Mathematics Journal Vol. 6 No. 1 Juni 2023
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v6i1.147

Abstract

The concept of rough set was first introduced by Pawlak in 1982. The basic concepts in set theory such as intersections, unions, differences, and complements still apply to rough sets. Furthermore, researchers in the field of mathematics and informatics who study rough sets can relate the concept of rough sets to algebraic structures so that a concept called rough algebraic structures is obtained. Some concepts on rough algebraic structures are rough groups, rough rings, and rough modules. In this paper, the properties related to the ideal of roughness will be given to the rough ring.
ANALISIS LULUSAN MATEMATIKA FMIPA UNIVERSITAS MATARAM MENGGUNAKAN DIAGRAM KONTROL MULTIVARIATE EXPONENTIALLY WEIGHTED MOVING AVERAGE (MEWMA Vidya Atika Ramdani; Emmy Dyah Sulistyowati; Lisa Harsyiah
Eigen Mathematics Journal Vol. 6 No. 1 Juni 2023
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v6i1.148

Abstract

Quality control of Mathematics graduates of FMIPA UNRAM in 2012-2018 with a control chart of the Multivariate Exponentially Weighted Moving Average (MEWMA), is carried out to determine the quality of graduates of the Mathematics Study Program FMIPA UNRAM and to compare the quality of Mathematics graduates FMIPA UNRAM in 2012-2018 using MEWMA and T2 Hotelling control charts. In this test, control was carried out using three control variables, namely the Grade Point Average , length of study , and the number of Semester Credit Units . This study used the weighting value  with the Upper Control Limit (UCL) of 10,685. The results obtained that the control chart formed to show that 42 data are outside the control limits (out of control), which causes the quality of graduates to be out of control. Using the EWMA univariate control chart, it is known that the length of study variable  causes the data to be out of control. Therefore, a revision was made to the MEWMA control chart so that the quality control process for Mathematics FMIPA Mataram University graduates was within the control limits after the second revision. This is indicated by the absence of observation points  outside the control limits so that the quality of mathematics graduates can be said to be good. Furthermore, a comparison of the results of observations with the quality of Mathematics graduates of Mataram University using the T2 Hotelling control chart in the previous study was carried out with the results that there was one data subgroup that was outside the control limit with = 14.5249 which led to the need for one revision of the T2 Hotelling control chart to obtain statistically controlled diagram. Thus, it can be said that the MEWMA control chart is more sensitive than the Hotelling T2 control chart.
Negative Binomial and Generalized Poisson Regression Model for Death Due to Dengue Hemorrhagic Fever Data Risnawati Ibnas; Satriani Satriani; Khalilah Nurfadilah
Eigen Mathematics Journal Vol. 6 No. 1 Juni 2023
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v6i1.153

Abstract

Data on the number of deaths due to Dengue Fever in statistics is count data often approximated by a Poisson distribution. However, if overdispersion occurs, Poisson regression is no longer sufficient, so the Negative Binomial and Generalized Poisson Regression approaches are used. From the two models, the best model was chosen based on the smallest AIC value, 66.50, namely the Negative Binomial Regression model. From this model, factors that have a significant effect are determined based on the p-value, and the factor ratio of health facilities per 100,000 population  is obtained.
Perbandingan Metode Data Mining dalam Pengklasifikasian Status Desa Kabupaten Purwakarta dan Bandung Barat (Podes 2021) Munifah Zuhra Almasah; Arie Wahyu Wijayanto
Eigen Mathematics Journal Vol. 6 No. 1 Juni 2023
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v6i1.156

Abstract

Each village has different characteristics and is constantly changing along with the level of development in a village. These changes in conditions are used as indicators to classify villages into urban or rural village status. In this study, researchers will compare or evaluate of several data mining methods, namely decision trees, support vector machines, naïve bayes, and random forests to find the best algorithm in classifying urban villages and rural villages in Purwakarta and West Bandung Regencies. The data used in this study were 357 records and 8 attributes sourced from village potential data (Podes 2021). Furthermore, it was obtained that the best method in classifying urban villages and rural villages is to use random forests with accuracy value and F- score of 0,9.
Optimization of water flow on Regency Municipality Waterworks-network of Jonggat Central Lombok Regency using Ford Fulkerson Algorithm and Dinic Algorithm Lilis Sriwahyuni; Marwan Marwan; Zata Yumni Awanis
Eigen Mathematics Journal Vol. 6 No. 1 Juni 2023
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v6i1.157

Abstract

Clean water is essential for humans which must be fulfilled for humans survival. The population in Jonggat, Central Lombok, increases from year to year which causes the using of clean water get an increase too. The necessity of rising clean water is not in line with the availability of water in nature, therefore the PDAM (Regency Municipality Waterworks) manages existing water resource. Then, it will be distributed to consumers. The purpose of this research is to determine the optimal solution in the distribution of clean water in Jonggat using Ford Fulkerson algorithm and Dinic algorithm. Both Ford Fulkerson algorithm and Dinic algorithm are methods used to calculate the maximum flow in a network. Based on the results of research using Python software on the Ford Fulkerson algorithm, the maximum current is 133 liters/second, while using the Dinic algorithm, the maximum current is 133.49 liters/second. Meanwhile, the average water flow is delivered by PDAM is 95 liters/second. It means, it can be added the amount of flow in the clean water distribution pipe by the PDAM. It’s for facilitating the flow of water that reaches consumers with the addition of a flow that cannot exceed 133.49 liters/second. Keywords: Network flow, Maximum flow, Ford Fulkerson algorithm, Dinic algorithm
Determination of The Best Koperasi Using SAW (Simple Additive Weighting) Ines Saraswati Machfiroh; Widiya Astuti Alam Sur; Jaka Permadi; Winda Aprianti; Herfia Rhomadhona
Eigen Mathematics Journal Vol. 6 No. 1 Juni 2023
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v6i1.158

Abstract

Office of Koperasi, UKM, and Trade of Tanah Laut Regency, South Kalimantan conducts the health of Koperasi by manually checking the financial report data of each Koperasi. This study aims to determine the best Koperasi performance using a decision-making system with the Simple Additive Weighting (SAW) method. Performance evaluation is based on the criteria in the Technical Instructions for the Deputy for Koperasi Number 15 of 2021 concerning Guidelines for Working Papers on Cooperative Health Examination. The criteria to determine the best Koperasi performance were based on the attributes of the governance, risk profile, financial performance, and capital of Koperasi. The SAW method was used to select the best Koperasi by adding up each attribute, then multiplying by the weight of the related attributes. Based on the calculations using the SAW method, Koperasi 33 was selected, with the highest Vector value (V(i)) of 0.944719. Koperasi 33 can be categorized as the best of 100 Koperasi in Tanah Laut Regency, South Kalimantan.
Co-Existing Point of Equilibrium in Discretization of Fractional-Order Prey and Predator Model Rio Satriyantara; Dara Puspita Anggraeni; Irma Risvana Dewi; Alfian Eka Utama
Eigen Mathematics Journal Vol. 6 No. 1 Juni 2023
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v6i1.169

Abstract

In this work, a discretization process of a fractional-order prey and predator model is discussed. The aim of this work is to describe the population phenomenon which contains prey and predator. In this research, the prey and predator model by Ghosh et al. (2017) is used. The model has an unique form because it contains prey refuge and additional food to predator. In order to give more details on prey and predator population, the model then modified into fractional order and then discretized. The discretization model has three points of equilibrium and one of them named co-existing point of equilibrium. The numerical simulation is used to perform the stability. The numerical simulation is controlled by using mathematical programming language. It resulted that the co-existing point of equilibrium tends to be stable or converge if a small value of  (time step) is selected. Otherwise, if a larger value of  is selected, then oscillatory is appeared which means the point of equilibrium become unstable or diverge.

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