Jurnal Riset Mahasiswa Matematika
https://ejournal.uin-malang.ac.id/index.php/jrmm
<p><strong>p-ISSN: <a href="https://issn.lipi.go.id/terbit/detail/20210927391064748" target="_blank">2808-1552</a> | e-ISSN: <a href="https://issn.lipi.go.id/terbit/detail/20211020291791635" target="_blank">2808-4926</a><br /></strong></p><p>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<br /><br />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).<br /><br />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.<br /><br />Jurnal Riset Mahasiswa Matematika (JRMM) has been indexed by Google Scholar</p>Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malangen-USJurnal Riset Mahasiswa Matematika2808-1552Bilangan Kromatik Titik dari Dual Graf Berlian
https://ejournal.uin-malang.ac.id/index.php/jrmm/article/view/14517
<p class="Abstract">A vertex coloring of a graph , is an assigments of colors to the vertices of , such that no two adjacent vertices are assigned the same color. The least number of colors needed for an vertices coloring of a graph is the chromatic number, denoted by . A graph is said to be planar if it can be drawn in the plane so that no edges crossing except at endpoints. A dual graph is constructed from the planar graph. Each region in planar graph can be represented by a vertex of the dual graph. Two vertices are connected if the region represented by these vertices are neugbours and have a common border. A diamond graph denoted by , can be used to model structure networks. In this study, it is shown that the chromatic number of dual diamond graph is χ(〖Br_n〗^* )={█(3,&n=2 and n≥4@4,&n=3.)┤</p>Nurul Hafidhoh AnwarMohammad Nafie JauhariDewi Ismiarti
Copyright (c) 2022 Jurnal Riset Mahasiswa Matematika
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2022-08-302022-08-301625626310.18860/jrmm.v1i6.14517Optimasi Distribusi Biaya Transportasi Melalui Metode Modified Distribution
https://ejournal.uin-malang.ac.id/index.php/jrmm/article/view/14531
<p class="Abstract">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.</p>Ahmed Syarief MarzukiJuhari JuhariEvawati Alisah
Copyright (c) 2022 Jurnal Riset Mahasiswa Matematika
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2022-08-302022-08-301626427210.18860/jrmm.v1i6.14531Penerapan Metode Fuzzy Time Series Chen Orde Tinggi Pada Peramalan Hasil Penjualan (Studi Kasus: KPRI “Serba Guna” Kecamatan Selorejo Kabupaten Blitar)
https://ejournal.uin-malang.ac.id/index.php/jrmm/article/view/14561
<p>The most developed forecasting method currently is the <em>time series, </em>which uses a quantitative approach with past data as a reference for future forecasting. <em>Fuzzy time series </em>is a solution that uses <em>time series </em>data by applying <em>fuzzy </em>methods in forecasting. This research using <em>fuzzy time series </em>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 <em>Fuzzy Time Series </em>(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 <em>Fuzzy Time Series </em>forecasting using the best <em>Mean Squared Error </em>(MSE), <em>Mean Absolute Percentage Error </em>(MAPE) and <em>Mean Absolute Error </em>(MAE) accuracy values . <em>The </em>High Order <em>Fuzzy Time Series </em>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.</p>Nur Misbahul ArfianaEvawati AlisahDewi Ismiarti
Copyright (c) 2022 Jurnal Riset Mahasiswa Matematika
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2022-08-302022-08-301627328210.18860/jrmm.v1i6.14561Analisis Frekuensi Ciphertext dengan Algoritma Kriptografi DNA dan Transformasi Digraf
https://ejournal.uin-malang.ac.id/index.php/jrmm/article/view/14591
<p>DNA Cryptography is one of new algortihm in cryptography that is used to encrypt the data by converting the DNA code into binary code. Encryption process is expected to produce a random and unreadable ciphertext. This research aims to determine the result of encryption frequency analysis of the ciphertext obtained from the encryption process using DNA Cryptography and Digraph Transformation algorithm. The formation of a symmetric key is carried out for the encryption and decryption process in DNA Cryptography, and modular arithmetic in Digraph Transformation algorithm. The encryption process produces ciphertext in the form of letters and symbols because if involves the use of an ASCII table. Frequency analysis is done by comparing the frequency of occurence of letters in the ciphertext with frequency of occurence of letters in English. The conclusion for this research is that the ciphertext looks random, not easy to read, and hard to guess. For the future work, researcher can change the choice of binary code combinatory in DNA Cryptographic algorithms, increase the character vocabulary in the Digraph Transformation algorithm, and use various languages to code.</p>Widya Nur FaizahMuhammad KhudzaifahDewi Ismiarti
Copyright (c) 2022 Jurnal Riset Mahasiswa Matematika
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2022-08-302022-08-301628328710.18860/jrmm.v1i6.14591Implementasi Backpropagation Neural Network pada Prediksi Jumlah Penjualan Toyota Avanza di Indonesia
https://ejournal.uin-malang.ac.id/index.php/jrmm/article/view/14594
<span>Prediction is a branch of science that is used to predict events that may occur in the future based on past events. One of the developed prediction methods, Backpropagation Neural Network, a method that has a good level of effectiveness. This study aims to determine the model and the accuracy of the model in predicting the total sales of the Toyota Avanza and to find out the results of sales predictions for the next 12 months by analyzing the number of sales in January 2010 to October 2021. The prediction model for the number of Toyota Avanza sales using the Backpropagation Neural Network is 12-13-1, where there are 12 variables in the input layer, 13 variables in the hidden layer and 1 variable in the output layer with a learning rate value of 0.5 and momentum 0. The predictions for the number of Toyota Avanza sales for 12 months are at an average upper limit of 6215 and an average lower limit of 3415 with a MAPE value of 9,39135%, so that the model can be said to be very good. </span>Nur Fatin MufinnunHairur RahmanMohammad Nafie Jauhari
Copyright (c) 2022 Jurnal Riset Mahasiswa Matematika
https://creativecommons.org/licenses/by-sa/4.0
2022-08-302022-08-301628829710.18860/jrmm.v1i6.14594