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Penerapan Metode Fuzzy Simple Additive Weigting Pada Interpretasi Hasil Penilaian Promosi Jabatan Pegawai Negeri Sipil Tre Hayu Ria Reta; Evawati Alisah; Mohammad Nafie Jauhari
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.v2i5.22004

The Fuzzy Simple Additive Weighting (FSAW) method is a mechanism that can be used to support decision making. This method was chosen because a ranking process was carried out to determine the weight value of each attribute, which would select employees who were worthy of occupying the promoted position. This study aims to determine the results of the application of the FSAW method in the assessment of civil servant promotion at the Malang City Education and Culture Office to increase objectivity and fairness in the assessment of employee promotion. Some problems that often occur in employee evaluation are the employee evaluation process which is still conventional so that it is less effective in calculation. The solution to overcome this problem is to use a Fuzzy Multi Attribute Decision Making (FMADM) decision support system with the FSAW method. This method requires a process to normalize the decision matrix (X) against a scale that can be compared with all available alternative values. After each attribute has been determined its weight value, the ranking process is used to select the best alternative for this study. The criteria used in this decision support system are SKP score, length of service, class, and education. The membership function used is the Triangular Fuzzy Number (TFN) representation. The results of the ranking calculation or the best value show the highest value, namely 1 from alternative 1 (employee 1) who is entitled to a promotion. It is expected that by using the FSAW method, the task of selectors will be able to more quickly and precisely identify employees who are worthy of occupying positions promoted based on the desired conditions.

Implementasi Fuzzy Associative Memory (FAM) untuk Mengestimasi Curah Hujan di Kota Malang Lestari, Qhonita Guruh Dwi; Jauhari, Mohammad Nafie
Jurnal Riset Mahasiswa Matematika Vol 3, No 3 (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.v3i3.23302

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.

Penyandian Super Enkripsi Menggunakan Columnar Transposition dan Modifikasi Hill Cipher dengan Invers Kiri Matriks Persegi Panjang Wahyuni, Fika; Khudzaifah, Muhammad; Jauhari, Muhammad Nafie
Jurnal Riset Mahasiswa Matematika Vol 1, No 2 (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.v1i2.14224

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.

Implementasi Algoritma A-Star dalam Menentukan Rute Terpendek Destinasi Wisata Kota Malang Syihabuddin, Riyan Fahmi; Jauhari, Mohammad Nafie; Khudzaifah, Muhammad; Fahmi, Hisyam
Jurnal Riset Mahasiswa Matematika Vol 1, No 5 (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.v1i5.14497

Traveling is one of the needs of everyone to relax the mind from the busyness that is lived every day. One of the cities in East Java which is a prima donna for traveling is Malang. The city has approximately 43 tourist destinations. Usually, tourists who want to visit not only one place, but several places. generate assistance in deciding which destinations to visit first in order for their trip to be effective. The shortest search process in this study uses the A-Star Algorithm, one of the BFS algorithms which in the process really considers the heuristic value. The process of testing the shortest route is done by selecting a starting point, then selecting several tourist locations. Next, the shortest route will be searched using the A-star algorithm at each destination, then which destination will be visited first. And so on until the final destination. The effectiveness of the route which involves comparison with the route presented by google maps. Based on the results of 30 experiments on several comprehensive destinations, it was found that the average route search using the A-Star algorithm was 44.17% shorter than that presented on google maps. This is due to the uniqueness of the algorithm in which there is a heuristic value and selection for each destination so as to make the route more effective.

Penyandian Pesan Hybrid dengan Myszkowski Cipher dan Rivest, Shamir, Adleman (RSA) Safitri, Sukmawati Indah; Khudzaifah, Muhammad; Jauhari, Mohammad Nafie
Jurnal Riset Mahasiswa Matematika Vol 2, No 6 (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.v2i6.22017

Classical and modern cryptography have advantages and disadvantages in securing text messages. Hybrid algorithms can combine two algorithms to produce a higher level of message security when compared to one type of algorithm. This study discusses a hybrid algorithm that combines Myszkowski Cipher and RSA. The purpose of this research is to obtain ciphertext that is more difficult to crack by cryptanalysis. The hybrid algorithm process is done by encrypting text messages with the Myszkowski Cipher algorithm then the key used in the Myszkowski Cipher algorithm are encrypted using the RSA algorithm with the equation . Then the ciphertext and cipherkey will be obtained in numerical. The decryption process is done by decrypting the cipherkey by specifying the value of as the private key so that using the equation . Next is by trying the value of until a value is obtained, after which decryption to the equation , then the process of decrypting ciphertext using Myszkowski Cipher can be done. The benefit of this research is can improve the security of messages because it applies the advantages of each algorithm in its encoding.

Implementasi Backpropagation Neural Network pada Prediksi Jumlah Penjualan Toyota Avanza di Indonesia Mufinnun, Nur Fatin; Rahman, Hairur; Jauhari, Mohammad Nafie
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.v1i6.14594

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.

Kriptografi Hibrida Cipher Block Chaining (CBC) dan Merkle-Hellman Knapsack untuk Pengamanan Pesan Teks Novianti, Chofifah Alfin; Khudzaifah, Muhammad; Jauhari, Mohammad Nafie
Jurnal Riset Mahasiswa Matematika Vol 3, No 1 (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.v3i1.22292

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.

Bilangan Kromatik Titik dari Dual Graf Berlian Anwar, Nurul Hafidhoh; Jauhari, Mohammad Nafie; 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.v1i6.14517

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.)┤

Penggabungan Metode Fuzzy Simple Additive Weighting dengan Rank Order Centroid sebagai Pendukung Keputusan Penilaian Kemiskinan di Jawa Timur Wike, Wike Nur; Jauhari, Mohammad Nafie; Nasichuddin, Achmad
Jurnal Riset Mahasiswa Matematika Vol 3, No 1 (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.v3i1.22340

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.

Penerapan Metode Fuzzy Simple Additive Weigting Pada Interpretasi Hasil Penilaian Promosi Jabatan Pegawai Negeri Sipil Reta, Tre Hayu Ria; Alisah, Evawati; Jauhari, Mohammad Nafie
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.v2i5.22004

The Fuzzy Simple Additive Weighting (FSAW) method is a mechanism that can be used to support decision making. This method was chosen because a ranking process was carried out to determine the weight value of each attribute, which would select employees who were worthy of occupying the promoted position. This study aims to determine the results of the application of the FSAW method in the assessment of civil servant promotion at the Malang City Education and Culture Office to increase objectivity and fairness in the assessment of employee promotion. Some problems that often occur in employee evaluation are the employee evaluation process which is still conventional so that it is less effective in calculation. The solution to overcome this problem is to use a Fuzzy Multi Attribute Decision Making (FMADM) decision support system with the FSAW method. This method requires a process to normalize the decision matrix (X) against a scale that can be compared with all available alternative values. After each attribute has been determined its weight value, the ranking process is used to select the best alternative for this study. The criteria used in this decision support system are SKP score, length of service, class, and education. The membership function used is the Triangular Fuzzy Number (TFN) representation. The results of the ranking calculation or the best value show the highest value, namely 1 from alternative 1 (employee 1) who is entitled to a promotion. It is expected that by using the FSAW method, the task of selectors will be able to more quickly and precisely identify employees who are worthy of occupying positions promoted based on the desired conditions.

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