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ON THE IRREGULARITY STRENGTH AND MODULAR IRREGULARITY STRENGTH OF FRIENDSHIP GRAPHS AND ITS DISJOINT UNION Apituley, Fredrylo Alberth Noel Joddy; Talakua, Mozart W.; Lesnussa, Yopi Andry
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 (513.763 KB) | DOI: 10.30598/barekengvol16iss3pp869-876

Abstract

For a simple, undirected graph G with, at most one isolated vertex and no isolated edges, a labeling f:E(G)→{1,2,…,k1} of positive integers to the edges of G is called irregular if the weights of each vertex of G has a different value. The integer k1 is then called the irregularity strength of G. If the number of vertices in G or the order of G is |G|, then the labeling μ:E(G)→{1,2,…,k2} is called modular irregular if the remainder of the weights of each vertex of G divided by |G| has a different value. The integer k2 is then called the modular irregularity strength of G. The disjoint union of two or more graphs, denoted by ‘+’, is an operation where the vertex and edge set of the result each be the disjoint union of the vertex and edge sets of the given graphs. This study discusses about the irregularity and modular irregularity strength of friendship graphs and some of its disjoint union, The result given is s(Fm ) = m + 1, ms(Fm ) = m + 1 and ms(rFm ) = rm + ⌈r/2⌉, where r denotes the number of copies of friendship graphs
BINARY LOGISTICS REGRESSION MODEL TO IDENTIFY FACTORS ASSOCIATED WITH LOW BIRTH WEIGHT (LBW) (CASE STUDY: BABY DATA AT DR. M. HAULUSSY HOSPITAL AMBON) Sari, Yunita Puspita; Noya Van Delsen, Marlon S.; Lesnussa, Yopi Andry
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 (495.391 KB) | DOI: 10.30598/barekengvol16iss3pp985-994

Abstract

Low birth weight (LBW) is one of the risk factors for increasing baby mortality. LBW is characterized by a baby's birth weight of fewer than 2500 grams which is weighed within the first hour after birth. The case of LBW is of special concern because it can have a serious impact on the quality of future generations, which will slow down the growth and development of children and affect the decline in intelligence. In this study, identification was carried out to determine the factors that influence the status of BBL in RSUD Dr. M. Haulussy Ambon in 2020, the data used in this study is medical record data from RSUD Dr. M. Haulussy Ambon in 2020 with a total sample of 183 respondents with predictor variables covering nine variables and one response variable. The analysis used is a binary logistic regression method with the response variables of BBL status which are categorized as normal and low. The results of this study obtained a binary logistic regression model in which the factors that influence the case of low birth weight are maternal gestational age and parity with a classification accuracy of 91.8.
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.
OPTIMASI DALAM PENENTUAN DOSIS OPTIMAL PADA KEMOTERAPI TUMOR Lesnussa, Yopi Andry; Subchan, Subchan
Limits: Journal of Mathematics and Its Applications Vol. 7 No. 2 (2010): Limits: Journal of Mathematics and Its Applications Volume 7 Nomor 2 Edisi Nove
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Indeks Kemampuan proses adalah suatu alat untuk menganalisa kemampuan proses produksi apakah sesuai dengan spesikasi yang diberikan. Indeks C adalah indeks yang sering digunakan untuk mengukur kemampuan proses dengan berdasarkan proporsi bagian yang tidak sesuai (Proportion non Conforming) dan pada indeks ini data diasumsikan berdistribusi Normal. pmk Indeks Kemampuan proses berdasarkan bagian yang sesuai (proportion of conforming) yaitu C dapat mengatasi kelemahankelemahan dari indeks kemampuan proses yang berdasarkan Proportion non Conforming diatas dimana data tidak harus berdistribusi Normal. Dalam tulisan ini dibahas analisis tentang indeks dengan menggunakan asumsi berdistribusi Non Normal yaitu distribusi Poisson dan distribusi Eksponensial berikut estimasi dari
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

Abstract

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
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 M. S. Noya Van Delsen M. W. Talakua M. W. Talakua Madiuw, Julianty 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, Henry Willyam Michel Persulessy, Elvinus R. Peter, Olumuyiwa James R. J. Djami Rahakbauw, Dorteus L. RAHAKBAUW, DORTEUS LODEWYIK Rijoly, Monalisa E Rijoly, Monalisa E. Rijoly, Monalissa E Ronald John Djami Rukua, Abdul Wahid Rumalowak, Diana 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 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