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INDONESIA
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.
Arjuna Subject : -
Articles 118 Documents
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Sifat-Sifat Graf Pembagi Nol pada Gelanggang Polinom Kuosien (Z_p [x])/〈x^(n+1) 〉 ×(Z_q [x])/〈x^(n+1) 〉 Dais Alifian Fatahillah; Ni Wayan Switrayni
Eigen Mathematics Journal Vol. 3 No. 1 Juni 2020
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (461.273 KB) | DOI: 10.29303/emj.v3i1.51

Abstract

Zero-divisor graph is an undirectedgraphwhose vertices are zero-divisors of a commutative ring and edges defined as  if and only if .Wicaksono (2013) gave some characteristics of graph zero-divisor in the modulary integer ring. This research aims to represent the zero-divisor elements of the polynomial kuosien ring where are prime numbers and  into a graph called the zero-divisor graph The method used in this research is a deduktive method. The result shows that the zero divisor graph obtained from polynomial kuosien ring is complete bipartit graph with some characteristics related to its girth, ecccentricity, radius and diameter.
Application of the Floyd Warshall Algorithm in Determining the Shortest Route for Distribution of UD Nadira Cinta Rasa Bread to Praya, Central Lombok Annisa Zaen Febryantika; Fidyatnisa Alyunda Puspandini; Indah Rizqiana Amalia; Maya Annisa
Eigen Mathematics Journal Vol. 4 No. 1 Juni 2021
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v4i1.96

Abstract

Optimizing the shortest route is needed by a company in the process of distributing goods to consumers. This optimization can help companies optimize the mileage and costs from source to destination. In this study, the shortest route method used is the Floyd-Warshall algorithm to determine the shortest route. Floyd-Warshall algorithm can compare all the possible paths in the graph for each side of all vertices it passes with the minimum number. Based on the calculation results of this study, the shortest route was obtained from Mataram as the source and Praya as the destination was 31 km.
Peramalan Penjualan Kendaraan Mobil Segmen B2B dengan Metode Regresi Linear Berganda, Jaringan Saraf Tiruan dan Jaringan Saraf Tiruan – Algoritma Genetika Muhammad Agung Nugraha; Farizal Farizal; Djoko Sihono Gabriel
Eigen Mathematics Journal VOL. 3 NO. 2 DESEMBER 2020
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v3i2.80

Abstract

This study aims to create an effective forecasting model in predicting sales of car products in the B2B segment (Business to Business) to obtain estimates of product sales in the future. This research uses multiple linear regression and artificial neural networks that are optimized by genetic algorithms. Forecasting factors for car sales are generally issued by total national car sales, the Consumer Price Index, the Consumer Confidence Index, the Inflation Rate, Gross Domestic Product (GDP), and Fuel Oil Price. The author has also gotten the factors that play a role in the sale of B2B segment by diverting the survey to 106 DMU (Decision Making Unit) who decide to purchase cars in their company. Then we evaluate the results of the questionnaire in training data and simulations on the Artificial Neural Network. Optimized Artificial Neural Networks with Genetic Algorithms can improve B2B segment car sales' accuracy when comparing error values in the ordinary Artificial Neural Network and Multiple Linear Regression.
Peramalan Jumlah Siswa Baru Madrasah Aliyah (MA) Manhalul Ma’arif Darek-Lombok Tengah Lisa Harsyiah; Nurul Fitriyani; Salwa Salwa
Eigen Mathematics Journal VOL. 3 NO. 2 DESEMBER 2020
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v3i2.88

Abstract

This study aimed to forecast the new student number at Madrasah Aliyah (MA) Manhalul Ma'arif Darek. The data used in this study was the annual time series data of new students who enrolled in the school, from the 1998/1999 academic year to 2016/2017. Based on the data obtained, it shows that the number of new students who enroll in Madrasah Aliyah (MA) Manhalul Ma'arif Darek tends to fluctuate. This fluctuating pattern is a problem faced by Madrasah Aliyah (MA) Manhalul Ma'arif Darek in determining strategic and policy steps related to planning the provision of school facilities / infrastructure. Therefore we need a forecasting method in accordance with the data pattern. The forecasting method used is the Fuzzy Time Series Cheng method. This method uses fuzzy principles as the basis of the forecasting process. The forecasting process results obtained the Mean Square Error (MSE) value of 101.5009 and the Mean Absolute Percentage Error (MAPE) value of 18.49%. The results showed that the Fuzzy Time Series Cheng method performed well in predicting the number of new students at Madrasah Aliyah (MA) Manhalul Ma'arif Darek.
Analysis of the Foreign Trade and Gross Domestic Product Effect on Foreign Direct Investment using Panel Data Regression Estimation Winda Putri Anggraini
Eigen Mathematics Journal Vol. 4 No. 1 Juni 2021
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v4i1.85

Abstract

Investment is one of the components that determines a country's economic growth. Sources of investment funds can be seen through two approaches, domestic investment and foreign investment. One of the promising components of foreign investment is Foreign Direct Investment (FDI). FDI is considered more valuable for the country because it is more long-term in nature. This study aims to see the effect of Gross Domestic Product (GDP) and export-import as foreign trade activities on FDI, through estimation with panel data regression model. The data used is data from 20 countries with observation period from 2009 to 2018. With the Random Effect Model as the best model, which the estimators also qualify the BLUE estimator. it can be concluded that partially the GDP variable has no significant effect. Meanwhile, exports have a significant positive effect and imports have a significant negative effect on FDI.
Penerapan Metode Hungarian dalam Penugasan Dosen Pengampu Mata Kuliah Program Studi Matematika FMIPA Universitas Mataram Muhammad Khairurradziqin; Ahmad Tedi Ruslan; Dzakiyatul Mardliyah; Fahmi Handika; Mamika Ujianita Romdhini
Eigen Mathematics Journal VOL. 3 NO. 2 DESEMBER 2020
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v3i2.63

Abstract

The tight schedule of lecture activities requires accuracy so that it always runs smoothly. Lecturer assignments play an important role to ensure the smooth lecture activities. Problems that often occur in the assignment of these lecturers need to be avoided. In an effort to reduce the risk of problems that occur in the assignment of lecturers, it is necessary to make a structured system with the right method. Hungarian method can be said very appropriate for this assignment problem because each course will only be charged to one lecturer. Another advantage of using the hungarian method in this lecturer assignment model is also because it uses the preferences of prospective lecturers as subjects of measurement. Each lecturer will take courses according to their best preferences with the expectation that the lecturer will have more mastery in the courses that he will teach.
Algoritma Needleman-Wunsch dalam Menentukan Tingkat Kemiripan Urutan DNA Rusa Timor (Cervus timorensis) dan Rusa Merah (Cervus elaphus) Hibban Kholiq; Mamika Ujianita Romdhini; Marliadi Susanto
Eigen Mathematics Journal VOL. 3 NO. 2 DESEMBER 2020
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v3i2.65

Abstract

Sequence alignment is a basic method in sequence analysis. This method is used to determine the similaritiy level of DNA sequences. The Needleman-Wunsch algorithm is an algorithm that can be used to solve the problem of sequence alignment. This research shows that the relation T (i, j) used in the Needleman-Wunsch algorithm is a function where T: (ℕ0 ℕ0) → ℤ. The function T (i, j) is a recursive function. Moreover, DNA sequence data used are DNA sequences from the Timor Deer, which are the identities of the provinces of West Nusa Tenggara and Red Deer, which are typical deer from the European continent as a comparison. The DNA sequence data was obtained from BLAST (Basic Local Alignment Search Tool). Based on the alignment, the most optimal alignment is obtained by forming 666 base pairs sequences with 322 matches, 230 missmatches and 114 gaps, meaning that the two DNA sequences have a 48% similarity (322/666).
Regresi Nonparametrik Kernel Gaussian pada Pemodelan Angka Kelahiran Kasar di Provinsi Nusa Tenggara Barat Deni Pratiwi; Lalu Abd Azis Mursy; Muhammad Rizaldi; Nurul Fitriyani
Eigen Mathematics Journal VOL. 3 NO. 2 DESEMBER 2020
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v3i2.78

Abstract

This study aims to model Crude Birth Rates (CBR) in West Nusa Tenggara Province. The nonparametric regression method was used in this research by considering data distribution patterns that do not show a linear relationship between variables. In this case, the kernel nonparametric regression using the Gaussian function and the Nadaraya-Watson estimator. The results showed optimal bandwidths of 0.55542837, 1.29042927, 0.94706041, and 0.92278896 with a value of minimum Generalized Cross-Validation (GCV) of 0.000000000432613511, which was minimized by the simulated annealing algorithm. The resulting model's accuracy can be seen from the coefficient of determination (R2) of 99.23% and the Mean Absolute Percentage Error (MAPE) of 0.007049%.
Some Special Graphs of Quaternion Group Abdul Gazir S; I Gede Adhitya Wisnu Wardhana
Eigen Mathematics Journal Vol. 4 No. 1 Juni 2021
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v4i1.74

Abstract

Research on an algebraic structure represented in graph theory opens the way for new research in recent years. Several types of new graphs continue to be developed, such as coprime and non-coprime graphs. This article will represent the quaternion group in several graphs, such as coprime graphs, non-coprime graphs, commuting graphs, non-commuting graphs, and identity graphs. We obtained several theorems about unique graphs. One of the results is that non-coprime graphs from the quaternion group are complete and regular graphs.
Penerapan Model Vector Autoregressive Integrate Moving Average dalam Peramalan Laju Inflasi dan Suku Bunga di Indonesia Jusmawati Jusmawati; Mustika Hadijati; Nurul Fitriyani
Eigen Mathematics Journal VOL. 3 NO. 2 DESEMBER 2020
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v3i2.62

Abstract

The inflation and interest rates in Indonesia have a significant impact on the country's economic development. Indonesian inflation and interest rates data are multivariate time series data that show activity over a certain period of time. Vector Autoregressive Integrated Moving Average (VARIMA) is a method for analyzing multivariate time series data. This method is a simultaneous equation modeling that has several endogenous variables simultaneously. This study aimed to model the inflation and interest rates data, from January 2009 to December 2016 and predict inflation and interest rates by using VARIMA method. The model obtained was the VARIMA(0,2,2) model, with estimated parameters using the maximum likelihood method. The choice of the VARIMA(0,2,2) model was based on the smallest AIC value of -4,2891, with a MAPE value for the inflation and interest rates forecasting were 6,04% and 1,84%, respectively, which indicates a very good forecast results.

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