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Journal of Fundamental Mathematics and Applications (JFMA)
Published by Universitas Diponegoro
ISSN : 26216019     EISSN : 26216035     DOI : https://doi.org/10.14710
Core Subject : Science,
Decision Sciences, Operations Research & Management
Journal of Fundamental Mathematics and Applications (JFMA) is an Indonesian journal published by the Department of Mathematics, Diponegoro University, Semarang, Indonesia. JFMA has been published regularly in 2 scheduled times (June and November) every year. JFMA is established to highlight the latest update of mathematical researches in both theoretical and applied works. The scope in JFMA is pure mathematics and applied mathematics. All accepted papers will be published both in print and online versions. The online version can be accessed via the DOI link of each article. The print version can be ordered to the journal administrator. JFMA welcomes both theoretical and applied research work to be published in the journal. The topics include but are not limited to: (1) Mathematical analysis and geometry (2) Algebra and combinatorics (3) Discrete Mathematics (4) Mathematical physics (5) Statistics (6) Numerical method and computation (7) Operation research and optimization (8) Mathematical modeling (9) Mathematical Logic in Computer Science, Informatics, etc.
Arjuna Subject : Matematika - Matematika Terapan
Articles 135 Documents
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ARTIFICIAL NEURAL NETWORK APPLICATION IN MODELING MORTALITY OF COVID-19 PATIENTS IN INDONESIA Fitriani, Rika; Nugraha, Ruth Cornelia
Journal of Fundamental Mathematics and Applications (JFMA) Vol 6, No 1 (2023)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v6i1.17861

Abstract

The Indonesian government and public healthcare system have been under massive pressure dueto increased infections and mortality rates among Covid-19 patients. An appropriate model isneeded to model the mortality of Covid-19 patients in Indonesia to help the Indonesiangovernment develop the right policy for dealing with the Covid-19 pandemic. Artificial neuralnetworks are increasingly popular in various research fields. Artificial neural networks can detectspecific patterns in mortality modeling. In this study, we use artificial neural networks to modelthe mortality rate of Covid-19 patients in Indonesia. We try combinations of activation functions,learning rates, and hidden layers for the best predictions. We compare the prediction accuracy ofartificial neural networks with that of the Holt-Winters method. The results showed that the bestmodel of artificial neural networks produced an RMSE of 3.0530. In contrast, the Holt-Wintersmethod produced an RMSE of 664.9022. Therefore, the artificial neural networks performedbetter than the Holt-Winters method in analyzing mortality data of Covid-19 patients inIndonesia.
A CLOSER LOOK AT A PATH DOMINATION NUMBER IN GRID GRAPHS Casinillo, Leomarich F
Journal of Fundamental Mathematics and Applications (JFMA) Vol 6, No 1 (2023)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v6i1.16608

Abstract

This article exposes the combinatorial formula that determines the pathdomination number in a grid graph and discusses some of its properties. Seven propertiesare derived regarding the path domination number of grid graphs. Furthermore, some additional properties as direct consequences of the derived main properties are alsodiscussed.
ANTIADJACENCY MATRICES FOR SOME STRONG PRODUCTS OF GRAPHS Sutjijana, Aluysius; Azka, Dea Alvionita
Journal of Fundamental Mathematics and Applications (JFMA) Vol 6, No 1 (2023)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v6i1.16653

Abstract

Let G be an undirected graphs with no multiple edges. There are many ways to represent a graph, and one of them is in a matrix form, by constructing an antiadjacency matrix. Given a connected graph G with  vertex set $V$ consisting of n members, an antiadjacency matrix of the graph G is a matrix B of order n \times n such that if there is an edge that connects vertex v_i to vertex v_j (v_i \sim v_j ) then the element of i^{th} row and b^{th} column of B is 0, otherwise 1. In this paper we investigate some properties of antiadjacency matrices for some strong product of two graphs. Our results are general forms of the antiadjacency matrix of the strong product of path graphs P_m with P_n for m, n\ge 3, and cycle graphs C_m with C_m for m \ge 3.
ON THE RELATIVE-INVERSE OF AN EXCLUSIVE-SUBMATRIX: AN INVERSE OF A NON-SQUARE MATRIX Rellon, Louie Resti Sandoval; Lozada, James Alfred B.; Guieb, Genevieve; Mejorada, Afoljen
Journal of Fundamental Mathematics and Applications (JFMA) Vol 6, No 1 (2023)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v6i1.17018

Abstract

EXPLORING PHYSICS-INFORMED NEURAL NETWORKS FOR SOLVING BOUNDARY LAYER PROBLEMS Pratama, Muchamad Harry Yudha; Gunawan, Agus Yodi
Journal of Fundamental Mathematics and Applications (JFMA) Vol 6, No 2 (2023)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v6i2.20084

Abstract

In this paper, we explore a cutting-edge technique called as Physics- Informed Neural Networks (PINN) to tackle boundary layer problems. We here examine four different cases of boundary layers of second-order ODE: a linear ODEwith constant coefficients, a nonlinear ODE with homogeneous boundary conditions, an ODE with non-constant coefficients, and an ODE featuring multiple boundary layers. We adapt the line of PINN technique for handling those problems, and our results show that the accuracy of the resulted solutions depends on how we choose the most reliable and robust activation functions when designing the architecture of the PINN. Beside that, through our explorations, we aim to improve our understanding on how the PINN technique works better for boundary layer problems. Especially, the use of the SiLU (Sigmoid-Weighted Linear Unit) activation function in PINN has proven to be particularly remarkable in handling our boundary layer problems.
THE L(2,1)-LABELING OF MONGOLIAN TENT, LOBSTER, TRIANGULAR SNAKE, AND KAYAK PADDLE GRAPH Ningrum, Lisa Damayanti; Abrar, Ahmad Muchlas
Journal of Fundamental Mathematics and Applications (JFMA) Vol 7, No 1 (2024)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v6i2.18228

Abstract

Let G = (V,E) be a simple graph. L(2, 1)−labeling defined as a functionf : V (G) → N0 such that, x and y are two adjacent vertices in V, then if x andy are adjacent to each other, |f(y) − f(x)| ≥ 2 and if x and y have the distance 2,|f(y) − f(x)| ≥ 1. The L(2, 1)-labeling number of G, called λ2,1(G), is the smallestnumbermof G. In this paper, we will further discuss the L(2, 1)-labeling of mongoliantent, lobster, triangular snake, and kayak paddle.Keywords: L(2,1)-Labeling, mongolian tent, lobster, triangular snake, kayak paddle. 
BONUS MALUS SYSTEM FOR MOTORIZED VEHICLE INSURANCE USING GEOMETRIC DISTRIBUTIONS AND WEIBULL DISTRIBUTIONS Sevina, Grisselia Rizky; Purwadi, Joko
Journal of Fundamental Mathematics and Applications (JFMA) Vol 6, No 1 (2023)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v6i1.16505

Abstract

The bonus malus system is one of the systems used to determine the premium amount for the next period based on the claim history of the policyholder. If the policyholder has no claims history or did not file a claim in the previous year, then the policyholder will get a bonus or in other words will get a reduction in the premium rate in the following period. Meanwhile, if the policyholder has a history of claims in the previous year, then the policyholder will be subject to a malus or must pay an increase in the premium rate in the following period. The purpose of this study is to calculate motor vehicle insurance premiums using the classic and optimal bonus malus method which takes into account the frequency of claims with a geometric distribution and the size of claims with a Weibull distribution. The results of this study indicate that the optimal bonus malus system is fairer for policyholders who renew their policies because the premium paid by the policyholder depends on the number of claims and the size of the claim, so that each policyholder will pay a different premium to the number of claims.
TOPOLOGY OF QUASI-PSEUDOMETRIC SPACES AND CONTINUOUS LINEAR OPERATOR ON ASYMMETRIC NORMED SPACES Selawati, Klatenia; Indrati, Christiana Rini
Journal of Fundamental Mathematics and Applications (JFMA) Vol 6, No 2 (2023)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v6i2.18504

Abstract

In this paper, we will discuss about topological properties of quasi-pseudometric spaces and properties of linear operators in asymmetric normed spaces. The topological properties of quasi-pseudometric spaces will be given consisting of open and closed set properties in quasi-pseudometric spaces. The discussion about properties of linear operators on asymmetric normed spaces is focused on the uniform boundedness principle. The uniform boundedness theorem is proved by utilizing completeness properties and characteristic of closed sets on quasi-pseudometric spaces.
Dualitas antara Keterkendalian Lemah dan Keterobservasian Lemah Sistem Linear atas Aljabar Max-Plus Interval Ari Suparwanto
Journal of Fundamental Mathematics and Applications (JFMA) ARTICLES IN PRESS
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v6i2.17320

Abstract

ABSTRAK Sistem linear atas aljabar max-plus (SLMP) dengan domain kejadian mengasumsikan informasi dan pengetahuan yang pasti mengenai aktifitas di dalamnya, sementara dalam kenyataannya suatu pengukuran tidak pernah  akurat. Akibatnya nilai pengukuran pada umumnya berbeda dengan nilai sebenarnya. Setelah dilakukan pengukuran serta memperoleh hasil pengukuran, informasi yang diperoleh bahwa nilai sebenarnya dari proses pengukuran termuat pada suatu interval. Dengan dasar tersebut, dimungkinkan memberikan perkiraan tentang waktu berlangsungnya suatu proses tertentu, dalam suatu interval.Dengan dasar tersebut, aljabar maks-plus telah digeneralisasi menjadi aljabar maks-plus interval. Berdasarkan hasil-hasil pada aljabar max-plus interval, telah diteliti keterkendalian lemah dan keterobservasian lemah sistem linear atas  aljabar max-plus interval (SLMPI) dengan menggunakan konsep asticity untuk menentukan kondisi keterkendalian lemah dan keterobservasian lemah dari sistem linear atas aljabar max-plus interval. Sedangkan untuk menentukan dan membangun barisan kendali yang diinginkan digunakan konsep residuation. Demikian juga, untuk mengestimasi state digunakan konsep residuation.Diketahui pada sistem linear atas aljabar konvensional, terdapat dualitas antara sifat-sifat ketrkendalian dan keterobservasian yang dapat dikarakterisasikan melalui rank dari matriks keterkendalian dan matriks keterobservasian. Berdasarkan hasil penelitian keterkendalian lemah dan keterobservasian lemah dari sistem linear atas aljabar max-plus interval yang keduanya menggunakan konsep asticity dan residuation, maka akan diteliti dualitas antara keterkendalian lemah dan keterobservasian lemah dari sistem linear atas aljabar max-plus interval. Kata Kunci : asticity,  residuation   
The Fractional Derivative of Some Functions Rellon, Louie Resti; Quevedo, Cymber Orvie; Cordero, Jr., Ruben; Lupogan, Adrian; Saut, Jayson
Journal of Fundamental Mathematics and Applications (JFMA) Vol 7, No 2 (2024)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v0i0.19442

Abstract

 

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