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Jurnal Riset Mahasiswa Matematika
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 180 Documents
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Langkah-Langkah Metode Fuzzy ELECTRE dalam Penentuan Penerima Bantuan PKH Anthasyah, Indah Ayu Zurike; Alisah, Evawati
Jurnal Riset Mahasiswa Matematika Vol 3, No 4 (2024): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v3i4.27102

Abstract

Fuzzy ELECTRE is one of the methods based on the concept of outranking and comparing alternatives based on each relevant criterion. Currently, the Indonesian government has several programs as poverty alleviation, one of which is providing PKH assistance. The results of the implementation and interpretation of the fuzzy ELECTRE method using TrFN weighting to decide PKH beneficiaries.  This method requires several processes, namely determining alternative decisions that are in accordance with the number of PKH beneficiaries, determining decision criteria, determining linguistic variables and giving values to each criterion based on the TrFN scale, determining the weight of the criteria based on the level of importance, determining the decision matrix, determining the normalized decision matrix, determining the weighting value on the normalized matrix entry, determining the concordance index, determining the calculation of concordance and discordance index values, determining the calculation of final concordance and discordance, and determining the ranking of the sum of the final concordance and discordance values. Thus, it can be shown that there are people who get the highest rank, namely alternatives 25,47,53,65,71,72,81,82 and 96 with a value of 184.90487 and people who get the lowest rank, namely alternative 79 with a value of -73.51765. So, this research can provide a higher level of accuracy and PKH assistance can be distributed on target.
Implementasi Jaringan Syaraf Tiruan Backpropagation untuk Menentukan Prediksi Jumlah Permintaan Produksi Dodol Apel Sari, Farrah Nurmalia; Kusumastuti, Ari; Fahmi, hisyam
Jurnal Riset Mahasiswa Matematika Vol 2, No 2 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v2i2.14899

Abstract

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.
Analisis Dinamik Model Sel Kanker Prostat dengan Terapi Vaksin Kuratif Mawaddah, Siti Sakinah; Pagalay, Usman; Nasichuddin, Achmad
Jurnal Riset Mahasiswa Matematika Vol 3, No 2 (2023): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v3i2.22456

Abstract

                Prostate cancer is a type of cancer that occurs in men and requires an effective therapeutic approach. Treatment of prostate cancer depends on the stage at diagnosis. In advanced stages of prostate cancer can be treated with hormone therapy such as chemotherapy which is then followed by vaccine therapy which aims to help increase the body's immune system response to prostate cancer cells. This model consists of a system of ordinary differential equations with five variables used, including androgen-dependent prostate cancer cells, androgen-independent prostate cancer cells, dendritic cells, effector cells, and curative vaccines. Then two equilibrium point conditions are produced, when there is no vaccine  for disease free conditions  and endemic conditions , then when the vaccine  there are three equilibrium conditions namely disease free , side effects  and local existence between prostate cancer cells with vaccine . The results of the stability analysis for each equilibrium point show that when , the condition  is global asymptotic, while the condition  is stable because the eigenvalue is negative. When  for the condition  it is unstable because the two roots are positive, then for the condition  it is global asymptotic and for the condition  it is asymptotically local because all the eigenvalues are negative. The numerical simulations of equilibrium points obtained using the fourth order runge-kutta method according to different q parameter values show that the larger the dendritic cells and effector cells activated, the greater the vaccine that enters the body, resulting in immune cells that will fight prostate cancer cells.
Prosedur Fuzzy Tahani Menggunakan Fungsi Representatif Kurva Segitiga dan Trapesium Sofia, Wise Ahmad; 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

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v1i1.13819

Abstract

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) Arfiana, Nur Misbahul; Alisah, Evawati; Ismiarti, Dewi
Jurnal Riset Mahasiswa Matematika Vol 1, No 6 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v1i6.14561

Abstract

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.
Modifikasi Vigenere Cipher Menggunakan Grup Simetri untuk Mengamankan Pesan Teks Cahyanti, Niken Dwi; Turmudi, Turmudi; Khudzaifah, Muhammad
Jurnal Riset Mahasiswa Matematika Vol 2, No 5 (2023): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v2i5.16791

Abstract

Cryptography is widely used to overcome information security problems that are exchanged on the internet network. One of the algorithms in cryptography is the Vigenere Cipher, the algorithm is known as a robust method and is not easily solved. However, the Vigenere Cipher algorithm has a weakness, namely the key is short and is used repeatedly. Therefore, it is necessary to modify the Vigenere Cipher. The purpose of this study is to determine the modification of the Vigenere Cipher using a symmetric group and also to determine the level of security of the encryption results of Vigenere Cipher modification when compared to the Vigenere Cipher. The results obtained from this research is a new algorithm of the modification process of the Vigenere Cipher using symmetric groups. The modified Vigenere Cipher algorithm is proven to be stronger than the Vigenere Cipher. This is because the plaintext is scrambled first using a symmetric group encoding, so that the actual plaintext is safe against attacks by the Kasiski method and exhaustive key search. In addition, the resulting new algorithm also supports the use of capital letters, lowercase letters, numbers, and symbols.
Interpretasi Metode Gauss-Seidel pada Sistem Persamaan Linier Fuzzy dengan Bilangan Fuzzy Sigmoid Sa'adah, Maria Syifaus; Alisah, Evawati
Jurnal Riset Mahasiswa Matematika Vol 3, No 5 (2024): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v3i5.27320

Abstract

A system of linear equations can be combined with a fuzzy number that produces a new equation, namely a system of fuzzy linear equations. The system of fuzzy linear equations has the general form ,  as an element with real numbers, as a variable of fuzzy numbers, and  as a constant of fuzzy numbers. One kind of fuzzy number is sigmoid fuzzy number. The problem related to the system of fuzzy linear equations is how to solve the system of fuzzy linear equations. One method that can be used is using the Gauss-Seidel Method. This study aims to determine the results of the interpretation of the Gauss-Seidel Method to determine the solution of the fuzzy linear equation system. Based on the calculation results, it shows that the Gauss-Seidel Method does not always provide the right solution for fuzzy linear equation systems with fuzzy variables and constants in the form of sigmoid numbers expressed as cuts. The solution is considered correct if the substitution of the solution to the system of fuzzy linear equations and defuzzification  and  shows the same result. 
Implementasi Fuzzy Multi Criteria Decision Making Pada Seleksi Beasiswa Bank Indonesia Fauzan, Hakmi Rais; Alisah, Evawati; Widayani, Heni
Jurnal Riset Mahasiswa Matematika Vol 1, No 4 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v1i4.14463

Abstract

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. 
Pengembangan Algoritma A-Star dengan Penyesuaian Heuristik untuk Pencarian Rute Optimal Sukroni, Achmad Faiz; Juhari, Juhari; Nasichuddin, Achmad
Jurnal Riset Mahasiswa Matematika Vol 4, No 2 (2024): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v4i2.31208

Abstract

The The A-Star algorithm is one of the most popular shortest route search algorithms due to its effectiveness in finding optimal solutions. This study focuses on modifying the A-Star algorithm to improve its performance in optimizing the shortest route. The study was conducted by comparing the standard A-Star algorithm and its modified version based on the number of iterations required to reach the optimal solution. The assessment was carried out manually and through a computer program using sample data from tourist locations in Blitar as a case study. The results of the analysis in 20 comparative experiments showed that the modified A-Star algorithm was able to minimize the number of iterations by up to 32% compared to the standard A-Star algorithm. This finding indicates that the modifications made to the A-Star algorithm can increase efficiency without reducing the accuracy of the results. This study provides an important contribution to the development of shortest route search algorithms, especially in their application to the tourism sector and navigation systems.
Efektivitas Parameter Algoritma Cheapest Insertion Heuristic (CIH) dalam Menentukan Rute Terpendek Bus Sekolah Gratis Kota Malang Dayanti, Vivi; Jauhari, Mohammad Nafie
Jurnal Riset Mahasiswa Matematika Vol 4, No 1 (2024): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v4i1.28244

Abstract

This research focuses on changing parameters related to the initial value to optimize routes using the Cheapest Insertion Heuristic (CIH) algorithm, with the aim of achieving a more efficient or optimal solution. This research is a quantitative study that uses distance data between school locations from the official sources of the Department of Transportation and the Malang City government to measure the effectiveness of the CIH algorithm in determining the shortest route for school buses. This research begins by selecting two starting points using the CIH algorithm to find the optimal route. All possible pairs of starting points will be tried, then the correlation between the length of the shortest route generated and the factors considered, such as distance between the two starting points, eccentricity, betweenness centrality, eigenvector centrality, and closeness centrality, will be identified. The results showed that eigenvector centrality showed the strongest correlation with the shortest route length, with a Pearson correlation coefficient of 0,122.

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