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Jurnal Riset Mahasiswa Matematika

jrmm
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Published by Universitas Islam Negeri Maulana Malik Ibrahim Malang

ISSN : 28081552 EISSN : 28084926 DOI : https://doi.org/10.18860/jrmm

Core Subject : Education,

Mathematics

Jurnal Riset Mahasiswa Matematika (JRMM) publishes current research articles in any area of Mathematics Research such as graph labelings, modeling, statistics, actuaria, optimal network problems, metric dimension, graph coloring, rainbow connection and other related topics. JRMM is published six times a year, namely in February, April, June, August, October, December JRMM is published by the Association of Indonesian Islamic Religious University Mathematics Lecturers and Department of Mathematics Universitas Islam Negeri Maulana Malik Ibrahim Malang (UIN Malang). All papers will be refereed in the normal manner of mathematical journals to maintain the high standards. JRMM is an open access journal. Full-text access to all papers is available for free. Jurnal Riset Mahasiswa Matematika (JRMM) has been indexed by Google Scholar

Arjuna Subject : Matematika - Matematika (Lain-Lain)

Articles 173 Documents

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Optimasi Distribusi Biaya Transportasi Melalui Metode Modified Distribution Ahmed Syarief Marzuki; Juhari Juhari; Evawati Alisah
Jurnal Riset Mahasiswa Matematika Vol 1, No 6 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Distribution is the action or process of supplying goods to stores and other businesses that sell to consumers. If a product or service is distributed from a company, it requires adequate means of transportation and usually requires too large distribution costs. Delivery of goods at this company does not use mathematical methods in calculating its distribution to several places correctly. The purpose of this research is to create an optimal, efficient and effective distribution model for this company by applying the North West Corner Method and the Modified Distribution Method in July, August and September 2021. North West Corner Method for the initial solution and Modified Distribution Method as the optimal solution is a variation of the Stepping Stone method. The results of this research show that the distribution costs incurred by the company after being calculated using the North West Corner Method and the Modified Distribution Method are Rp. 6,961,779, - from Rp. 7,000,000. Then these two methods are able to help companies save distribution costs incurred.

Analisis Dinamik Model Matematika Penyebaran COVID-19 Pada Populasi SEIR Ester Meyliana; Ari Kusumastuti; Juhari Juhari
Jurnal Riset Mahasiswa Matematika Vol 1, No 4 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

This study discusses the dynamic analysis of the mathematical model of the spread of COVID-19 using daily cases in Indonesia which are classified into four variables, namely, Susceptible (S), Exposed (E), Infected (I), and Recovered (R) which are then analyzed dynamically by calculate the equilibrium point and look for stability properties. The two equilibrium points of this model are the disease-free equilibrium point and the endemic equilibrium point . Then, it is linearized around the equilibrium point using the given parameters. Linearization around the equilibrium point produces four eigenvalues, one of which is positive. Linearization around the equilibrium point yields two negative real eigenvalues and a pair of complex eigenvalues with negative real parts. Phase portraits and numerical simulations have shown that all variables S, E, I, and R will be asymptotically stable locally towards the equilibrium point, namely the endemic equilibrium point . Thus, based on the dynamic analysis obtained, it is shown that the disease-free equilibrium point is unstable and the endemic equilibrium point is locally asymptotically stable.

Enkripsi dan Dekripsi Pesan Menggunakan Metode Vigenere Cipher dan Route Cipher Zulfatul Aufia; Turmudi Turmudi; Evawati Alisah
Jurnal Riset Mahasiswa Matematika Vol 1, No 2 (2021): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Kriptografi merupakan ilmu yang mempelajari tentang cara menjaga kerahasiaan pesan. Terdapat dua proses dalam kriptografi yaitu enkripsi dan dekripsi. Enkripsi yaitu merubah pesan asli (plainteks) menjadi pesan acak (cipherteks). Dekripsi merupakan proses merubah pesan acak menjadi pesan asli. Penelitian ini menggunakan metode super enkripsi yang mana merupakan gabungan dari dua metode yang terdiri dari metode subtitusi dan metode transposisi. Metode subtitusi yang digunakan adalah vigenere cipher dan metode transposisi yang digunakan adalah route cipher. Terdapat tiga variasi kunci dari metode vigenere cipher yaitu, full vigenere cipher, auto-key vigenere cipher dan running-key vigenere cipher. Adapun tujuan dari penelitian ini yaitu untuk mengetahui proses beserta hasil dari enkripsi dan dekripsi menggunakan super enkripsi dengan metode vigenere cipher dan route cipher. Adapun proses enkripsi adalah dengan mengenkripsi menggunakan metode vigenere cipher dan selanjutnya dienkripsi lagi menggunakan metode route cipher. Metode vigenere cipher terdiri dari tiga variasi, sehingga setiap variasinya dienkripsi satu persatu yang kemudian dienkripsi lagi dengan metode route cipher. Adapun proses dekripsi adalah dengan mendekripsi menggunakan metode route cipher dan dilanjut dengan metode vigenere cipher. Hasil dari penelitian ini yaitu didapatkannya cipherteks pada proses enkripsi dan plainteks pada proses dekripsi yang menggunakan metode vigenere cipher dengan 3 variasi dan metode route cipher.

Simulasi Numerik Model Matematika Vibrasi Dawai Flying Fox Menggunakan Metode Adams-Bashforth-Moulton Febry Noorfitriana Utami; Ari Kusumastuti; Juhari Juhari
Jurnal Riset Mahasiswa Matematika Vol 2, No 1 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

This study discusses numerical simulation using the Adams-Bashforth-Moulton (ABM) method of order 4 in the flying fox string mathematical model which is in the form of ordinary differential equations depending on time, consisting of two equations, namely the equation of the flying fox string y(t) and the angular equation of the flying fox string θ(t). This mathematical model is a model that has been constructed by Kusumastuti, et al (2017) and has been validated by comparing analytical solutions to its numerical solutions by Sari (2018). The analysis of the behavior of the Kusumastuti 2017 model conducted by Makfiroh (2020) shows that the phase portrait graph is in the form of a spiral with eigenvectors pointing towards the equilibrium point so that the mathematical model of the flying fox string vibration can be concluded as a valid mathematical model that is close to the actual situation. This study attempts to determine the numerical simulation of the deflection of the flying fox string y(t) and the numerical simulation of the angle of the flying fox string θ(t). The Runge-Kutta method of order 4 was used to generate 3 initial values for order 4 ABM. Next, a comparison of the y(t) and θ(t) solution graphs of order 4 ABM with the solution graph with Runge-Kutta of order 4 was performed in Sari 2018. The first simulation was carried out when h=1, the difference in the value of y(t) of order 4 ABM and Runge-Kutta order 4 fluctuated in the range of [0,0.09] with almost the same graphic profile, and the difference in the value of θ(t) ABM of order 4, and Runge-Kuta order 4 which is quite large with different graphic profiles. The second simulation was carried out when h=0.01, the difference in the value of y(t) of order 4 ABM and Runge-Kutta order 4 was fluctuating which also ranged from [0.0.09] with the same graphic profile, and the difference in the values of θ(t) ABM of order 4 and Runge -Kutta order 4 fluctuates in the range of [0,1] with the same graphic profile. So concluded that when h=0.01 comparison of ABM of order 4 and Runge-Kutta of order 4 is the best for displaying the graph profiles of y(t) and θ(t). Further research can explore numerical solutions using other methods.

Penggabungan Algoritma Hill Cipher dan ElGamal untuk Mengamankan Pesan teks Siti Nur Fadlilah; Turmudi Turmudi; Muhammad Khudzaifah
Jurnal Riset Mahasiswa Matematika Vol 1, No 5 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Hill Cipher is a one of the symmetric key cryptography algorithm that using an invertible matrix with an order n×n as a key to encrypt and decrypt plaintext. Meanwhile, ElGamal is other asymmetric key cryptography algorithm that use the complexity of discrete logarithms in the encryption and decryption process. In this study, the authors are interest in combine the Hill Cipher and ElGamal algorithms to secure text messages. The author use the matrix as a symmetric key and converts the plaintext in the table of ASCII 256. Then encrypt using the Hill Cipher algorithm which results the ciphertext from messages and ElGamal algorithm results the ciphertext of the symmetric key. In processing decryption using the ElGamal algorithm to determine the symmetric key that will be used as a key in the decryption process with the Hill Cipher algorithm so that the original plaintext is obtained. Then the results obtained are that the combination of the Hill Cipher and ElGamal algorithms to secure text messages can be done it well.

Syarat Cukup Ketaksamaan Hӧlder dan Ketaksamaan Minkowski di Perumuman Ruang Morrey Nahdliyatul Ummah; Hairur Rahman; Dewi Ismiarti
Jurnal Riset Mahasiswa Matematika Vol 1, No 3 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

The purpose of this research is to show the sufficient condition for Hӧlder inequality and Minkowski inequality in generalization of Morrey space and its weak space, namely generalization of weak Morrey space. This research focuses on the application of Hӧlder inequality and Minkowski inequality in generalization of Morrey space and generalization of weak Morrey space based on the characteristics of the two spaces in the set of n-dimensional real numbers.

Implementasi Jaringan Syaraf Tiruan Backpropagation untuk Menentukan Prediksi Jumlah Permintaan Produksi Dodol Apel Farrah Nurmalia Sari; Ari Kusumastuti; hisyam Fahmi
Jurnal Riset Mahasiswa Matematika Vol 2, No 2 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Forecasting is importantly in accordance with the planning strategy; therefore it will affect the way of decision making. One of the forecasting methods is Artificial Neural Network with Backpropagation as the algorithm. This research aims to measure the accuracy of the network architecture which is being applied in order to calculate the prediction of the future’s apple paste product monthly demand which was obtained from CV. Bagus Agriseta Mandiri. The data which are being used are 36 monthly data from the year 2017, 2018 and 2019. Furthermore, the data obtained are normalized and divided into two, 66,66% as the data for training process and 33,33% as the data for testing process. Network architecture that is applied in this research is 12 : 10 :1, where 12 are neurons for input layer, 10 are neurons for one hidden layer and 1 is neuron for output layer. The Network with that framework obtained a result 20.161% for MAPE and 79.839% for the accuracy. That model is categorized as good enough for its forecasting ability. Moreover, the network was entirely validated using k-fold cross validation method with . The result obtained as follows: the average of MAPE is 47.079% and the average accuracy is 52.921%. According to it, the entire model can be categorized as good enough in order to run a forecast. As a comparison, another testing has been done with the same fold but different in the network architecture (model 6 – 8 – 1). The second model obtained results as follows: the average of MAPE is 26.74% and the average accuracy is 73.18%, so that the two prediction models’ ability are in the same category, it is good enough to run a forecast.

Prosedur Fuzzy Tahani Menggunakan Fungsi Representatif Kurva Segitiga dan Trapesium Wise Ahmad Sofia; Juhari Juhari
Jurnal Riset Mahasiswa Matematika Vol 1, No 1 (2021): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Fuzzy Tahani is one of the developments of fuzzy logic applications. This study will explain the fuzzy Tahani procedure using representative membership functions of triangular and trapezoidal curves with fuzzification steps, determining fuzzy domains, membership functions and degrees, compiling criteria, determining fire strength values, and determining recommendation results. The fuzzy Tahani method uses the AND operation so as to produce a minimum fire strength value that affects the recommendation results. Then the research variables used are price, dimensions, weight, battery capacity, and screen display variables. For the triangular curve there are 3 fuzzy sets, namely small, medium, and large, while the trapezoidal curve consists of 4 fuzzy sets, namely small, medium, large, and very large. The data used in this study is secondary smartphone data, branded Oppo, Xiaomi, Samsung, Vivo, and Asus. From the results of smartphone data analysis according to the Fuzzy Tahani method used, these variables are processed by entering the rules, amounting to 243 for triangular curves and 1,024 for trapezoidal curves and then processed using AND operation and the conclusion is that triangular curves are better than trapezoidal curves. in recommending the purchase of a smartphone

Penerapan Metode Fuzzy Time Series Chen Orde Tinggi Pada Peramalan Hasil Penjualan (Studi Kasus: KPRI “Serba Guna” Kecamatan Selorejo Kabupaten Blitar) Nur Misbahul Arfiana; Evawati Alisah; Dewi Ismiarti
Jurnal Riset Mahasiswa Matematika Vol 1, No 6 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

The most developed forecasting method currently is the time series, which uses a quantitative approach with past data as a reference for future forecasting. Fuzzy time series is a solution that uses time series data by applying fuzzy methods in forecasting. This research using fuzzy time series is applied on data from the sale of the Republic of Indonesia Employee Cooperative (KPRI) Selorejo District, Blitar Regency in 2015-2021. This study describes the problem of forecasting the results of cooperative sales using the Fuzzy Time Series (FTS) which was developed with the High Order. The development of the method is done by improving the FTS method with mathematical rules and is applied to the stages of the process of forecasting the results of cooperative sales. Testing the results of the High Order Fuzzy Time Series forecasting using the best Mean Squared Error (MSE), Mean Absolute Percentage Error (MAPE) and Mean Absolute Error (MAE) accuracy values . The High Order Fuzzy Time Series consists of second order FTS, third order FTS and fourth order FTS. The results of the calculation of the smallest accuracy values are found in the fourth-order FTS, namely MSE of 19,333,658,980,372, MAPE of 11%, and MAE of 267,749. So it can be concluded that the fourth-order FTS is the best method in this study.

Implementasi Fuzzy Multi Criteria Decision Making Pada Seleksi Beasiswa Bank Indonesia Hakmi Rais Fauzan; Evawati Alisah; Heni Widayani
Jurnal Riset Mahasiswa Matematika Vol 1, No 4 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

The Bank Indonesia Scholarship is a scholarship provided by Bank Indonesia for students at various universities, one of which is UIN Maulana Malik Ibrahim Malang. In the scholarship selection process, there are several criteria that affect the graduation of prospective scholarship recipients. However, often the process is not transparently. So a calculation method is needed, one of which is using Fuzzy Multi Criteria Decision Making (FMCDM). With FMCDM it can help to get an accurate and optimal decision on scholarship recipients. The FMCDM process begins with collecting information related to scholarships, scholarship applicants, and a set of criteria that will be used for consideration of scholarship acceptance. The set of criteria consists of 11 criteria, namely, Academic Achievement Index (GPA), international level achievement, national level achievement, provincial level achievement, district/city level achievement, father's occupation, mother's income, number of family dependents, house area, land and building tax, as well as electricity bills. The next step is to evaluate the fuzzy set by aggregating the weight of the criteria and the degree of compatibility of each alternative with the criteria. The aggregation result is called the fuzzy fit index which consists of 3 values, namely, the y value which represents the lower limit of the aggregation result, the q value which represents the middle limit, and the z value which represents the upper limit value. The three values are ranked using a ranking method for fuzzy numbers with a degree of optimism. So that the total integral value for each alternative will be obtained, which will be the decision in accepting the scholarship. From the results of the FMCDM, there is a ranking of decision alternatives from the highest priority to the lowest in determining scholarship acceptance.

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Editorial Address Jalan Gajayana 50 Malang, Jawa Timur, Indonesia 65144 Faximile (+62) 341 558933

Location Kota malang, Jawa timur INDONESIA

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Contact Name
Juhari

Contact Email
juhari@uin-malang.ac.id

Phone
+6281336397956

Journal Mail Official
jrmm@uin-malang.ac.id

Editorial Address
Jalan Gajayana 50 Malang, Jawa Timur, Indonesia 65144 Faximile (+62) 341 558933

Location
Kota malang,

Jawa timur

INDONESIA