Jurnal Riset Mahasiswa Matematika
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
Articles
173 Documents
<![CDATA[Penentuan Peringkat Penilaian Kinerja Pegawai Sebagai Pendukung Keputusan Menggunakan Metode Fuzzy Elimination Et Choix Traduisant La Realite ]]>
<![CDATA[Rika Dina Amalia, Dina Amalia]]>;
<![CDATA[Alisah, Evawati]]>;
<![CDATA[Juhari, Juhari]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 3, No 1 (2023): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.18860/jrmm.v3i1.22271
<![CDATA[This study discusses the Fuzzy Elimination Et Choix Traduisant La Realite (ELECTRE) method that can be applied to make a decision support. This method was chosen because it is one of the methods used to rank and determine the best alternative. This study aims to determine the results of the application of the fuzzy ELECTRE method which produces alternative solutions in determining employee performance appraisal ratings for the Education and Culture Office of Malang City. Some of the problems that often occur in employee performance evaluation at the Department of Education and Culture in the city of Malang are still ineffective and inaccurate because the calculation process is still manual. Based on this, the effort to reduce the problems above is to implement a Fuzzy Multi Attribute Decision Making decision support system with the fuzzy ELECTRE method. This method requires a process of normalizing the decision matrix (X) into a comparable scale, then weighting the normalized matrix, then determining the concordance and discordance indices for each alternative pair to calculate the concordance and discordance indices, the ranking process is used to choose the best alternative. This study is limited by several criteria used as linguistic variables with the Triangular Fuzzy Number scale, including SKP scores, service orientation, integrity, commitment, discipline, and cooperation. Based on employee performance appraisal data that has been calculated using the fuzzy ELECTRE method, the best alternative that occupies the top rank with the highest value is alternative 2 with a value of 55.9155. It is hoped that by using the fuzzy ELECTRE method, the ranking process can be more precise in identifying employees who will become outstanding employees.]]>
<![CDATA[Kriptografi Hibrida Cipher Block Chaining (CBC) dan Merkle-Hellman Knapsack untuk Pengamanan Pesan Teks ]]>
<![CDATA[Novianti, Chofifah Alfin]]>;
<![CDATA[Khudzaifah, Muhammad]]>;
<![CDATA[Jauhari, Mohammad Nafie]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 3, No 1 (2023): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.18860/jrmm.v3i1.22292
<![CDATA[A secret message is a message that can only be seen by those who are entitled. In its delivery, a procedure is needed to keep the secret message secure, which is called cryptography. This research uses hybrid cryptography Cipher Block Chaining (CBC) and Merkle-Hellman Knapsack. The purpose of this research is to find out the encryption and decryption process of hybrid cryptography Cipher Block Chaining (CBC) and Merkle-Hellman Knapsack. The stages in this research use a qualitative approach with the library research method. In the encryption process with CBC, plaintext is encrypted first and the result called ciphertext. Furthermore, the key and Initialization Vector (IV) from CBC are encrypted using Merkle-Hellman Knapsack by generating a public key first and producing cipherkey. In the decryption process cipherkey is first decrypted using Merkle-Hellman Knapsack by calculating the inverse modulo . The decryption process continues by decrypting ciphertext using CBC. The result of securing messages using hybrid cryptography Cipher Block Chaining (CBC) and Merkle-Hellman Knapsack has a higher level of security than using only one cryptographic algorithm. As for the future, this research can be used to expand knowledge about securing text messages using hybrid cryptography algorithm CBC and Merkle-Hellman Knapsack.]]>
<![CDATA[Penggabungan Metode Fuzzy Simple Additive Weighting dengan Rank Order Centroid sebagai Pendukung Keputusan Penilaian Kemiskinan di Jawa Timur ]]>
<![CDATA[Wike, Wike Nur]]>;
<![CDATA[Jauhari, Mohammad Nafie]]>;
<![CDATA[Nasichuddin, Achmad]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 3, No 1 (2023): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.18860/jrmm.v3i1.22340
<![CDATA[The purpose of this study is to determine the results of the combination of Fuzzy Simple Additive Weighting with Centroid Rank Order as a support for poverty assessment decisions in East Java Province. Using a combination of Fuzzy Simple Additive Weighting and Rank Order Centroid is expected to provide better results. Decision support systems can help the government to determine the poverty status of a district or city in poverty reduction. Poverty itself is an important problem in life in many provinces. The problem of poverty triggers social problems that are closely related to the quality of education, crime, hunger, and others, which cause indirect disruption of stability and sustainability. Therefore, a decision support system is needed to make it easier for the government to determine the poorest districts or cities so that the government can aid programs or make strategies to reduce poverty. Fuzzy logic is a method that can be used to overcome uncertainty in decision making. One method in fuzzy logic to overcome uncertainty is to use the Fuzzy Simple Additive Weighting method. In the Fuzzy Simple Additive Weighting method, there is a selection of criteria that will later be weighted based on importance or priority using the Rank Order Centroid method. The criteria used in this study are life expectancy (AHH), literacy rate (AMH), per capita expenditure, and population. The membership function used is the Tringular Fuzzy Number representation. In this study, twenty four rules were given which were obtained from giving different weights to each criterion. So that twenty four of the poorest districts or cities were obtained. Then the final result is the name of the most Regency or City from the twenty four results, namely alternatives twenty seven and twenty eight, namely Sampang Regency and Pamekasan Regency which were entitled to assistance programs from the government.]]>
<![CDATA[Penerapan Metode Fuzzy Multi Criteria Decision Making Pada Interpretasi Hasil Penentuan Kemiskinan Provinsi Jawa Timur ]]>
<![CDATA[Diya, Hakimatul Maulidiyah]]>;
<![CDATA[Turmudi, Turmudi]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 3, No 1 (2023): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.18860/jrmm.v3i1.22343
<![CDATA[Fuzzy Multi Criteria Decision Making (FMCDM) method is a method of making decisions based on certain criteria to determine the best alternative among several alternatives. The purpose of the FMCDM method is to obtain the best alternative that is accurate and optimal. Poverty is a condition in which economic needs are not met against the average standard of living in the region. Poverty is a very important issue for the government or related agencies. This problem can be solved by determining the district/city area which is included in the poor category. So a method is needed that can be used to determine the existence of poverty in an area. The solution to overcome this problem is to use the FMCDM method. The solution to overcome this problem is to use the FMCDM method. The FMCDM process begins by determining objectives, alternative decisions, and a collection of criteria that will be used to determine poor districts/cities in East Java Province. The alternative decisions consist of 38 regencies/cities of East Java Province, while the set of criteria consists of the Percentage of Poor People, Human Development Index, Poverty Depth Index, and Poverty Severity Index. The next step evaluates the fuzzy set by aggregating the weight of the criteria and the degree of fit of each alternative to its criteria. The aggregation result is called the fuzzy match index which consists of three values, namely, the value which represents the result of the lower limit aggregation, the value which represents the middle bound, and the value which represents the upper bound value. The three values are ranked using the ranking method for fuzzy numbers with degrees of optimasan. So that the total integral value for each alternative will be a decision from the highest priority to the lowest in determining the districts / cities included in the poor category and as an effort to reduce poverty in East Java Province.]]>
<![CDATA[Analisis Dinamik Model Respon Inflamasi Pada Paru-Paru ]]>
<![CDATA[Arrofiqi, Muhammad Rosyid]]>;
<![CDATA[Pagalay, Usman]]>;
<![CDATA[Nasichuddin, Achmad]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 3, No 1 (2023): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.18860/jrmm.v3i1.22362
<![CDATA[This study discusses the dynamic analysis of the inflammatory response model in the lungs. Then proceed with performing numerical simulations. This study was conducted to present the inflammatory response in the lungs. In the mathematical model of the inflammatory response, there are three variables, namely (pathogen), (immune system) and (inflammation). Dynamic analysis is carried out by determining the equilibrium point, the basic reproduction number , stability analysis of the equilibrium point. The results of this study obtained a basic reproduction number . The disease-free equilibrium point is unstable and the endemic equilibrium point is unstable when the parameter values in table 4.1 are used. The results of numerical simulations show that the population of pathogens found in the body starts from the first day, which is 0.01, increases to 2.8 until the second week, decreasing constantly accompanied by the immune system in the human body so that it goes to 0 at infinity. While the immune defense population in the human body rises to 4.4 and decreases slowly and constantly following the development of pathogens in the human body accompanied by the immune system itself. And the pro-inflammatory inflammation population runs steadily at 0 to rises at 4.3 following human immune defense and falls at week 16 and continues to be consistent. The rate of inflammation follows a hyperbolic tan which is affected by when t is infinite towards . When the parameter values and are increased, the pro-inflammatory inflammation will decrease and vice versa.]]>
<![CDATA[Analisis Model Epidemi SEIR Menggunakan Metode Runge-Kutta Orde 4 pada Penyebaran COVID-19 di Indonesia ]]>
<![CDATA[Rahmadhani, Anis Putri]]>;
<![CDATA[Kusumastuti, Ari]]>;
<![CDATA[Juhari, Juhari]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 2, No 3 (2023): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.18860/jrmm.v2i3.16355
<![CDATA[This study discusses the analysis of the Susceptible-Exposed-Infected-Recovered (SEIR) epidemic model using the fourth-order Runge-Kutta method on the spread of COVID-19 in Indonesia by taking into account the factors limiting community interaction and the percentage of vaccination as model parameters. The purpose of this study was to determine the application of the Susceptible–Exposed–Infected–Recovered (SEIR) model using the fourth-order Runge-Kutta method in dealing with COVID-19 in Indonesia. The steps in analyzing the model are to determine the stability of the model that produces local asymptotic stability, then carry out the implementation as well as simulation using the fourth-order Runge-Kuta method in dealing with COVID-19 in Indonesia. The calculation results show the effect of limiting community interaction and vaccination in reducing cases of COVID-19 infection. Where, when limiting public interaction, the number of cases of COVID-19 infection is lower than before the restrictions on community interaction were carried out, and the higher percentage of vaccinations also resulted in more sloping infection cases. This study provides information that if restrictions on community interaction continue to be carried out by continuing to increase the percentage of vaccinations, it is estimated that the daily graph of positive cases of COVID-19 will be increasingly sloping and close to zero. Thus, the addition of new cases will decrease and it is hoped that the COVID-19 pandemic will end soon.]]>
<![CDATA[Implementasi Fuzzy Associative Memory (FAM) untuk Mengestimasi Curah Hujan di Kota Malang ]]>
<![CDATA[Lestari, Qhonita Guruh Dwi]]>;
<![CDATA[Jauhari, Mohammad Nafie]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 3, No 3 (2024): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.18860/jrmm.v3i3.23302
<![CDATA[The Fuzzy Associative Memory (FAM) method is a combination of fuzzy logic and artificial neural networks. The combination of fuzzy logic and artificial neural networks in FAM has the advantage of applying human expertise, tolerant of errors, and can be applied in the real world. This study aims to determine the accuracy of the results of the implementation of the FAM method in estimating rainfall in Malang City. The problem that occurs is that the results of rainfall estimates are different from reality. Therefore, it is necessary to have a planning tool that can estimate rainfall for a particular location and time. The solution to overcome these problems is to use a combination of fuzzy logic and artificial neural networks, namely FAM. This method requires a process to determine the membership function. After the membership function is formed, input matrix and output matrix are formed where the elements of the matrix are the membership degree of the input variable for input matrix and the membership degree of the output variable for output matrix . After that, to form a FAM system, it is necessary to invert the input A and output B matrices. So, the number of system FAM rules is as much as the data used. Then data testing is carried out on the system FAM rules obtained and the maximum value in the new matrix B is the best solution. The variables used in this study are temperature, humidity, air pressure, and wind speed. The results of the rainfall forecast using FAM have a large MAPE percentage error of 15% which means the forecasting results are good. It is expected that using the FAM method can estimate rainfall sometime in the future.]]>
<![CDATA[Penyandian Super Enkripsi Menggunakan Columnar Transposition dan Modifikasi Hill Cipher dengan Invers Kiri Matriks Persegi Panjang ]]>
<![CDATA[Wahyuni, Fika]]>;
<![CDATA[Khudzaifah, Muhammad]]>;
<![CDATA[Jauhari, Muhammad Nafie]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 1, No 2 (2021): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.18860/jrmm.v1i2.14224
<![CDATA[Pada penelitian ini, digunakan algoritma columnar transposition sebagai metode transposisi dan modifikasi algoritma hill cipher dengan invers kiri matriks persegi panjang sebagai metode substitusi. Penyandian pesan menggunakan metode super enkripsi dengan algoritma columnar transposition dan modifikasi algoritma hill cipher dengan invers kiri matriks persegi panjang menghasilkan pesan akhir yang tidak mengubah, menambah maupun mengurangi pesan awal, sehingga dapat di implementasikan pada pesan dengan baik. Penyandian ini melipat gandakan keamanan suatu pesan, dimana keamanan pertama terletak pada enkripsi pesan dengan columnar transposition dan keamanan yang kedua terletak pada algoritma hill cipher yang telah dimodifikasi, sehingga membuat pesan akan semakin sulit untuk dipecahkan. Hasil dari penelitian ini dapat dijadikan sebagai tambahan pustaka mengenai kriptografi serta solusi bagi pihak yang menggunakan teknologi informasi dan komunikasi untuk dapat melakukan pengiriman pesan dengan aman.]]>
<![CDATA[Syarat Cukup Ketaksamaan Holder di Ruang Lebesgue dengan Variabel Eksponen ]]>
<![CDATA[Ba'is, Mohamad Abdul]]>;
<![CDATA[Rahman, Hairur]]>;
<![CDATA[Herawati, Erna]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 2, No 1 (2022): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.18860/jrmm.v2i1.14619
<![CDATA[Hӧlder inequality is a basic inequality in functional analysis. The inequality used for proofing other inequalities. In this research, the development of the application of the Hӧlder inequality in the Lebesgue spaces with variable exponent and Morrey spaces with variable exponent. The integral Hӧlder inequality is used because the Lebesgue spaces with variable exponent and Morrey spaces with variable exponent is a function space.This research shows the sufficient condition of Hӧlder inequality in Lebesgue spaces with variable exponent and the Morrey spaces with variable exponent according to the norm of the function and its characteristics.]]>
<![CDATA[Solusi Numerik Model Gerak Osilasi Vertikal dan Torsional Pada Jembatan Gantung ]]>
<![CDATA[Permata, Hendrik Widya]]>;
<![CDATA[Kusumastuti, Ari]]>;
<![CDATA[Juhari, Juhari]]>
<![CDATA[ Jurnal Riset Mahasiswa Matematika Vol 1, No 1 (2021): Jurnal Riset Mahasiswa Matematika ]]>
Publisher : <![CDATA[Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang ]]>
Show Abstract
|
Download Original
|
Original Source
|
Check in Google Scholar
|
DOI: 10.18860/jrmm.v1i1.13409
<![CDATA[Model gerak osilasi vertikal dan torsional merupakan model yang menggambarkan gerak osilasi vertikal dan gerak torsional pada batang yang digantung. Gerak osilasi vertikal merupakan gerak naik turun suatu benda yang terjadi terus berulang, dan kemudian pada waktu tertentu akan berhenti atau mengalami redaman. Gerak torsional merupakan getaran sudut dari suatu objek yang mengalami rotasi. Model gerak osilasi dan torsional pada dasarnya merupakan sistem persamaan diferensial orde dua. Tujuan dari penelitian ini adalah untuk mengetahui solusi numerik model gerak osilasi vertikal dan torsional menggunakan metode Adams-Bashforth-Moulton orde empat, lima, dan enam. Model gerak osilasi vertikal dan torsional terlebih dahulu diselesaikan menggunakaan metode Runge-Kutta-Fehlberg orde lima untuk mendapatkan solusi awal kemudian model tersebut diselesaikan menggunakan metode Adams-Bashforth-Moulton orde empat, lima dan enam. Hasil solusi numerik setiap metode Adam-Bashforth-Moulton selanjutnya diuji dengan galat relatif. Hasil simulasi numerik model gerak osilasi vertikal dan torsi diperoleh bahwa gerak osilasi vertikal dan gerak torsional merupakan gerak harmonik teredam dan semakin tinggi orde pada metode Adams-Bashforth-Moulton maka akan lebih cepat galat relatif menuju nilai nol dan sebaliknya]]>
