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FUZZY LOGIC APPLICATION ON EMPLOYEE ACHIEVEMENT ASSESSMENT (CASE STUDY: EDUCATION QUALITY ASSURANCE INSTITUTE OF MALUKU PROVINCE) Nurhidayah, Nurhidayah; Lesnussa, Yopi Andry; Leleury, Zeth Arthur
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 3 (2022): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (800.983 KB) | DOI: 10.30598/barekengvol16iss3pp877-886

Abstract

Employee achievement assessment in an agency is essential for agency planning and evaluation. Therefore, the Employee achievement assessment must be carried out with a good and appropriate method so that it can guarantee fair and satisfactory treatment for the assessed employees. The value of employee achievement is determined by 60% of the target value of employee achievement and 40% of the average employee behavior value consisting of service orientation, integrity, commitment, discipline, and cooperation. The writing and discussion of this research are about the application of the fuzzy logic Mamdani method using MATLAB software in determining the work performance value of the Maluku Education Quality Assurance Institution (LPMP) employees based on the target value of employee achievement and behavioral values. The Mamdani method’s calculation level of truth is 94%, so it can be concluded that the fuzzy logic of the Mamdani method can be used to measure the performance value of employees.
DYNAMICS OF A SIRV MODEL FOR THE SPREAD OF COVID-19 IN MALUKU PROVINCE Sapulette, Nona Tjie; Lesnussa, Yopi Andry; Rijoly, Monalissa E
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss3pp1673-1684

Abstract

COVID-19 (Coronavirus Disease 2019) is caused by the SARS-CoV-2 (Severe Acute Respiratory Syndrome Coronavirus 2) coronavirus spreading around the world. In this study, the SIRV model was used, which is an epidemic model carried out by grouping the population into four subpopulations, namely the subpopulation of susceptible individuals who can be infected (Susceptible), the subpopulation of infected individuals (Infected), the subpopulation of individuals who recover from illness (Recovered), and the subpopulation of individuals who have been vaccinated (Vaccination). Based on the dynamic system analysis conducted, two equilibrium points were obtained, namely the disease-free equilibrium point and the endemic equilibrium point. In addition, based on data processing and model simulation results obtained, was obtained so that it can be concluded that the higher the number of vaccinated populations, the lower the level of Covid-19 spread, which means that vaccines can suppress cases of Covid-19 spread in Maluku Province
DYNAMIC ANALYSIS OF SEITR MATHEMATICAL MODEL ON THE SPREAD OF HEPATITIS B DISEASE IN AMBON CITY Larubun, Swine Enggelina; Leleury, Zeth Arthur; Lesnussa, Yopi Andry; Tahalea, Sylvert Prian; Warong, Maria Marlein
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 3 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss3pp1989-2000

Abstract

Hepatitis B is a disease caused by infection with the HBV (Hepatitis B Virus) virus that commonly infects the liver and can develop into liver cancer. The disease can be transmitted through blood, semen, breast milk, saliva, vaginal fluids, and sperm. One effective way to prevent Hepatitis B disease is by vaccination. This study will construct a mathematical model, such as the SEITR model, to study the spread of Hepatitis B disease in Ambon City. The SEITR epidemic model is a disease spread model that divides the population into five subpopulation classes, namely the susceptible individual subpopulation class, the exposed individual subpopulation class, the infected individual subpopulation class, the treatment individual subpopulation class, and the recovered individual subpopulation class. Based on the dynamic system analysis conducted, two equilibrium points were obtained, namely the disease-free equilibrium point and the endemic equilibrium point. In addition, based on the data and simulation results, it can be concluded that the spread of Hepatitis B in Ambon City depends on the transmission rate from infected individuals to susceptible individuals
NUMERICAL SOLUTION OF THE SEIR MODEL USING THE FOURTH-ORDER RUNGE-KUTTA METHOD TO PREDICT THE SPREAD OF HEPATITIS B DISEASE IN AMBON CITY Papalia, Anita; Lesnussa, Yopi Andry; Rijoly, Monalisa E.; Peter, Olumuyiwa James
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 3 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss3pp2047-2056

Abstract

Hepatitis B is a dangerous type of hepatitis and has a high risk of death. This research aims to predict the spread of Hepatitis B in Ambon using the fourth-order Runge-Kutta method. The mathematical model for the spread of Hepatitis B takes the form of a system of differential equations that includes the variables Susceptible (S) namely the subpopulation that is susceptible to infection with the hepatitis B virus, Exposed (E), namely the subpopulation that is exposed to the hepatitis B virus when it comes into contact with the Infected (I) subpopulation, I, namely the subpopulation infected with hepatitis B and Recovered (R), namely the recovered subpopulation. The values ​​ , , , , , , , and are the parameter values ​​used to be solved numerically using the fourth order Runge Kutta method which was carried out in 20 iterations with step size h=1 using data from the Maluku Provincial Health Service and the Central Bureau of Statistics from 2013 to 2022. Hepatitis B is classified as a type of hepatitis disease that is dangerous and has a high risk of death. This study aimed to construct a model of the spread of Hepatitis B disease in Ambon City and solve the model using the fourth-order Runge-Kutta method. In the research results, it was obtained that subpopulation decreased significantly in the 20th year with a total of 299,239 people, for subpopulation increased in 18th year with a total of 4,309 people, and decreased in 20th year with a total of 4,298 people, for subpopulation subpopulation increased until 20th year with a total of 254 people, and for subpopulation subpopulation increased significantly in 20th year with a total of 10,776 people.
Notes on 2-Normed Spaces Through Their Quotient Spaces Rumlawang, Francis Yunito; Hernita, Hernita; Lesnussa, Yopi Andry; Batkunde, Harmanus
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 2 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i2.35824

Abstract

In this paper, we defined new norms in 2-normed spaces derived from the 2-norm with respect to its quotient spaces. Moreover, these norms were used to observe some aspects of 2-normed spaces namely, a Convergent sequence, a Cauchy sequence, completeness, a closed set, and a bounded set. Furthermore, we used these aspects to prove the Fixed-Point Theorem in a 2-Banach Space.
PERBANDINGAN METODE FUZZY MAMDANI, SUGENO DAN TSUKAMOTO UNTUK MENENTUKAN JUMLAH PRODUKSI BATU PECAH Rumfot, Rindyani; Lesnussa, Yopi Andry; Rahakbauw, Dorteus Lodewyik
MATHunesa: Jurnal Ilmiah Matematika Vol. 12 No. 1 (2024)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v12n1.p157-168

Abstract

Perindustrian di Indonesia terus berkembang dalam bidang produksi. Produksi yang dihasilkan harus diimbangi dengan sumber daya yang mendukung, baik manusia maupun berasal dari alam. Hal ini mengharuskan perusahaan untuk menentukan jumlah produksi agar memenuhi permintaan pasar dengan tepat waktu dan jumlah yang sesuai. Maka produksi batu pecah penting untuk diperhatikan pada PT. Abdi Sarana Nusa untuk mendapatkan produksi yang optimal. Pada penelitian ini produksi adalah permasalahan yang dihadapi PT. Abdi Sarana Nusa yang berlokasi di Kabupaten SBT. Logika fuzzy secara umum dapat digunakan untuk menentukan jumlah produksi. Terdapat tiga metode yang dapat digunakan yaitu metode fuzzy Mamdani, Sugeno dan Tsukamoto. Berdasarkan data penelitian pada PT. Abdi Sarana Nusa berupa data permintaan, persediaan dan produksi dari bulan Januari 2021 sampai Desember 2022. Maka diperoleh hasil penelitian berupa hasil produksi dengan menggunakan perbandingan MAPE dari ketiga metode, diperoleh persentase error dari metode Mamdani 28,34% tingkat kebenarannya 71,66%, dan metode Sugeno 28,98% tingkat kebenarannya 71,02%, serta metode Tsukamoto 23,02% tingkat kebenarannya 76,98%, yang berarti kemampuan model peramalan layak (cukup baik). Sehingga dapat disimpulkan bahwa metode Tsukamoto lebih baik karena persentase error yang didapat lebih kecil dibandingkan dengan metode Mamdani dan Sugeno, untuk perencanaan produksi yang lebih baik pada PT. Abdi Sarana Nusa.
COMPARATIVE ANALYSIS OF NUMERICAL SOLUTIONS OF EULER, RK-4, ABM-4 AND RKCOM4 METHODS OF INITIAL VALUE PROBLEMS IN NONHOMOGENEOUS SECOND ORDER DIFFERENTIAL EQUATIONS Lesnussa, Yopi Andry; Marsudi, Marsudi
Parameter: Jurnal Matematika, Statistika dan Terapannya Vol 4 No 1 (2025): Parameter: Jurnal Matematika, Statistika dan Terapannya
Publisher : Jurusan Matematika FMIPA Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/parameterv4i1pp123-140

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Non-homogeneous second-order differential equations are often used in various mathematical models in physics, engineering, and system dynamics. Numerical solutions are the main alternative when analytical solutions are difficult to obtain. This study compares the performance of the Euler, Runge-Kutta 4th order (RK-4), Adams-Bashforth-Moulton 4th order (ABM-4), and Runge-Kutta Contra Harmonic Mean 4 (RKCoM4) numerical methodsin solving initial value problems (MNAs) in non-homogeneous second-order differential equations. The analysis was carried out by comparing the numerical calculation results of each method using the Mean Absolute Error (MAE) method. The results of numerical calculations and simulations show that the RK-4 and ABM4 methods provide higher accuracy than the Euler and RKCoM4 methods for 2 cases of non-homogeneous second-order differential equations
Analysis of the Increase in Covid-19 Patients in Maluku Province Using Markov Chain Method Rumata, Umi Sari; Lesnussa, Yopi Andry; Noya van Delzen, Marlon Stivo
Pattimura International Journal of Mathematics (PIJMath) Vol 1 No 1 (2022): Pattimura International Journal of Mathematics (PIJMath)
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (374.276 KB) | DOI: 10.30598/pijmathvol1iss1pp27-32

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Since the beginning of 2020, most of the world has been hit by the covid-19 pandemic, patients who are confirmed to be covid-19 are increasing day by day until the end of 2020, this increase in covid-19 patients has also occurred in the province of Maluku. In this study using the Markov chain method to analyze the increase in COVID-19 patients in the Maluku province, the results of the study were obtained that there were 5 ranges of adding positive COVID-19 patients with the opportunity value of increasing in each range as follows In the range of 0-20 people, the opportunity value is 0.103, the range of 21-40 people, is the opportunity value 0.098, the range 41-60 people is the opportunity value is 0.093, the range 61-80 people is the opportunity value is 0.1, the range of more than 81 people the opportunity value is 0.74.
Forecasting The Composite Stock Price Index Using Autoregressive Integrated Moving Average Hybrid Model Artificial Neural Network Jaariyah, Muhidin; Sinay, Lexy Janzen; Lewaherilla, Norisca; Lesnussa, Yopi Andry
Pattimura International Journal of Mathematics (PIJMath) Vol 1 No 2 (2022): Pattimura International Journal of Mathematics (PIJMath)
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (491.178 KB) | DOI: 10.30598/pijmathvol1iss2pp89-100

Abstract

A stock index is a statistical measure that reflects the overall price movement of a group of stocks selected based on certain criteria and methodologies and evaluated regularly. JCI is included in the composite index, which is the Headline index. The Headline Index is an index that is used as the main reference to describe the performance of the capital market. The JCI is very important in describing the current condition of the capital market because the JCI measures the price performance of all stocks listed on the Main Board and Development Board of the IDX. This study aims to predict JCI data using the time series method. The hybrid Autoregressive Integrated Moving Average–Artificial Neural Network (ARIMA-ANN) model combines the linear ARIMA model and the non-linear ANN model. The best models are the ARIMA model (2,1,1) and the ANN Backpropagation model with one input layer, one hidden layer with 20 neurons, and one output. The ARIMA-ANN hybrid model accurately predicts JCI data because it produces a MAPE value of less than 1%, with the level of forecasting accuracy from testing results being smaller than the level of accuracy during training. In addition, the forecast for the next five days is very accurate because it produces a very small RMSE and a MAPE below 1%, respectively, namely 56.99 and 0.72%.
Application of Fuzzy Logic Mamdani Method to Determine the Amount of Ayudes Production (Case Study: CV. Abadi Tiga Mandiri Ambon) Rumalowak, Diana; Lesnussa, Yopi Andry; Rumlawang, Francis Yunito
Pattimura International Journal of Mathematics (PIJMath) Vol 2 No 1 (2023): Pattimura International Journal of Mathematics (PIJMath)
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pijmathvol2iss1pp25-32

Abstract

A company does not see a problem, namely level competition. This competition is for companies to be able to provide a marketing or productivity strategy in order to survive and even have to increase their production volume. Because the estimated number of products produced is less than the number of requests, the company will lose the opportunity to get maximum and somewhat profit. Therefore, what needs to be considered in deciding the total of production is the total of demand and supply date. Writing and discussion in this study is about the application of the Logic Fuzzy Method Mamdani (Min-Max) to determine the total of production based on the total of demand and supply where the data is taken from CV. Abadi Tiga Mandiri Ambon and by applying the fuzzy logic method mamdani and Matlab assistance obtained results with a truth level of 93,238%. So that the application of Mamdani's Fuzzy Logic Method can help companies determine the number of items that must be made.
Co-Authors Abdul Malik Balami Abraham Z Wattimena Abraham Z. Wattimena Abraham Zakaria Wattimena Abraham Zakharia Wattimena Abrahams, H. Apituley, Fredrylo Alberth Noel Joddy Astrid A Titahena Astrid G. Heumasse Aulele, Salmon Notje Batkunde, Harmanus Beay, Lazarus Kalvein C. G. Mustamu Charlita Fhilya Chrisani Waas Citra Fathia Palembang D Patty D. L. Rahakbauw Damani, Nur Mila Dewi Ls Djaelani, Eka Desi Kirana E R Persulessy E. R. Persulessy Elvinus P. Persulessy Endro Risamasu F. Kondo Lembang Fauzan Samallo Fhilya, Charlitta Filiany S. Tutupary H. Kelian H. Lellolsima H. W. M. Patty Hayoto, Sasmita Hernita, Hernita Hukubun, V Idah, Mus Rika Ilwaru, Venn Y. I. Ilwaru, Venn Yan Ishak Jaariyah, Muhidin Jefri Esna Thomas Radjabaycolle Johan Bruiyf Bension Julianty Madiuw Lakotany, Jemsry E. Larubun, Swine Enggelina Latumeten, Ralf Leleury, Zeth A. Lewaherilla, Norisca Lexy Jansen Sinay Lexy Janzen Sinay, Lexy Janzen Lusye Bakarbessy M. S. Noya Van Delsen M. W. Talakua M. W. Talakua Madiuw, Julianty Maloky, Jessica Kezia Marsudi Marsudi Matdoan, M Y Mozart W. Talakua Muhammad Y. Matdoan Muhammad Yahya Matdoan Muhammad Yahya Matdoan Munahaji Lukaraja Mus Rika Idah Nanang Ondi Natasian, Nehemia Trianto Noya van Delsen, Marlon S. Noya van Delzen, Marlon Stivo Nurhidayah Nurhidayah Ojo, Mayowa Micheal Ondi, Nanang Papalia, Anita Patty, Dyana Patty, Henry Willyam Michel Persulessy, Elvinus R. Peter, Olumuyiwa James Pokar, Esteria R. J. Djami Rahakbauw, Dorteus L. RAHAKBAUW, DORTEUS LODEWYIK Rahangmetan, Keizya Rijoly, Monalisa E Rijoly, Monalisa E. Rijoly, Monalissa E Ronald John Djami Rukua, Abdul Wahid Rumalowak, Diana Rumaropen, Teodora Jessical Rumata, Umi Sari Rumfot, Rindyani Rumlawang, F Y Rumlawang, Francis Y RUMLAWANG, FRANCIS YUNITO Sahusilawane, Maria Engeline Saija, Maryone Salamahu, Leberima Sapulette, Nona Tjie Set Sasake Sinay, Lexy Jansen Stevanny Tamaela Subchan Subchan Sumah, Tesa Tahalea, Sylvert Prian Talakua, Mozart W. Talakua, Mozart Winston Tamaela, Stevanny Tentua, Jesica Tomasouw, Berni Pebo Tomasouw, Berny Pebo Tuanaya, Adis Harni Venn Y.I. Ilwaru Vynska Amalia Permadi Waas, Rethalina Warong, Maria Marlein Wattimena, Abraham Zacaria Wattimury, Welminci W Yulia S. Kakisina Zakheus Putlely Zeth Arthur Leleury, Zeth Arthur