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Jurnal Matematika UNAND
Published by Universitas Andalas
ISSN : 2303291X     EISSN : 27219410     DOI : -
Core Subject : Science, Education,
Computer Science & IT Mathematics
Fokus dan Lingkup dari Jurnal Matematika FMIPA Unand meliputi topik-topik dalam Matematika sebagai berikut : Analisis dan Geometri Aljabar Matematika Terapan Matematika Kombinatorika Statistika dan Teori Peluang.
Arjuna Subject : -
Articles 14 Documents
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Search results for , issue "Vol. 14 No. 4 (2025)" : 14 Documents clear
ON DETERMINING MANINJAU LAKE WATER QUALITY STATUS USING THE TSUKAMOTO AND MAMDANI METHODS DELLA, SEPTI RAHMA; NAZRA, ADMI; ARNAWA, I MADE
Jurnal Matematika UNAND Vol. 14 No. 4 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.4.424-438.2025

Abstract

Pada penelitian ini digunakan dua metode logika fuzzy, yaitumetode Tsukamoto dan metode Mamdani dalam membuat sebuah model penentuanstatus mutu air Danau Maninjau. Variabel input yang digunakan meliputisuhu air, pH, DO (Dissolved Oxygen), TSS (Total Suspended Solid), TDS (TotalDissolved Solid), BOD (Biochemical Oxygen Demand), COD (Chemical OxygenDemand), NO2, dan NO3 yang dibagi ke dalam dua kategori himpunan fuzzy, yaituAMAN dan TIDAK AMAN. Variabel output yaitu status mutu air yang dibagi ke dalamempat kategori himpunan fuzzy berdasarkan kriteria status mutu air, yaitu memenuhibaku mutu (MBM), cemar ringan (CR), cemar sedang (CS), dan cemar berat (CB).Hasil penelitian menunjukkan bahwa model status mutu air pada metode Tsukamotomenghasilkan nilai MAPE sebesar 40% dan nilai MSE 0,472, sedangkan pada metodeMamdani menghasilkan nilai MAPE sebesar 42% dan nilai MSE 0,678.
ON THE UPPERBOUND OF THE LOCATING CHROMATIC NUMBERS OF THE AMALGAMATION OF PATHS AND ITS BARBEL GRAPH AKMAL, AKMAL; Asmiati, Asmiati; NURYAMAN, AANG
Jurnal Matematika UNAND Vol. 14 No. 4 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.4.304-310.2025

Abstract

2002. Bilangan kromatik lokasi suatu graf merupakan perpaduan dari pewarnaan titik dan dimensi partisi graf\cite{C}. Misalkan $c$ suatu pewarnaan titik pada graf $G$ dengan $c(u)\ne c(v)$ untuk $u$ dan $v$  bertetangga di $G$. Misalkan $C_i$ himpunan titik-titik yang diberi warna $i$ dan $\Pi = \{C_1, C_2,\dots, C_k\}$ merupakan himpunan partisi dari $V(G)$. Kode warna $c_\Pi (v)$ dari $v$ adalah $k$-pasangan terurut $(d(v,C_1),d(v,C_2),\dots,d(v,C_k)$ dengan $d(v,C_i)=min\{d(v,x)|x\in C_i\}$ untuk $1\le i\le k$. Jika setiap titik di $G$ mempunyai kode warna yang berbeda, maka $c$ disebut pewarnaan lokasi dari $G$. Nilai terkecil $k$ sedemikian sehingga $G$ mempunyai pewarnaan lokasi disebut bilangan kromatik lokasi graf $G$. Amalgamasi dari $n\ge3$ buah graf lintasan $(P_m,m\ge3)$ dinotasikan dengan $_nP_m$  diperoleh dengan cara menyatukan satu titik dari setiap graf lintasan $P_m$. Graf barbel dari amalgamasi  lintasan diperoleh dengan menghubungkan dua jiplakan dari graf amalgamasi lintasan $_nP_m$, yang dihubungkan oleh sebuah sisi dinotasikan dengan $B(_nP_m )$. Batas atas bilangan kromatik lokasi graf amalgamasi lintasan untuk $m,n\ge3$ adalah $\lceil \sqrt{n} \ \rceil +1$ dan $\lceil \sqrt{n} \ \rceil +2$ untuk graf barbelnya.
(STRONG) RAINBOW CONNECTION NUMBERS ON CORONA PRODUCT OF PATH AND COMPLETE GRAPHS Sulistyanto, Andry; Halikin, Ikhsanul; Kusbudiono, Kusbudono; Wijaya, Kristiana
Jurnal Matematika UNAND Vol. 14 No. 4 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.4.376-389.2025

Abstract

Let G be an edge-colored, where adjacent edges may have the same color. A u-v path in G is a rainbow u-v path if no two edges of u-v path are colored the same. The graph G is called rainbow-connected if G contains a rainbow u-v path for every two vertices u and v of G. A rainbow connection number of rainbow-connected G is the minimum color in G. A rainbow u-v path is called a rainbow u-v geodesic if a rainbow u-v path of length distance from a vertex u to v. A graph G is strongly rainbow-connected if G contains a rainbow u-v geodesic for every two vertices u and v of G. The minimum color of the edges of G such that G is strongly rainbow-connected is the strong rainbow connection number. In this paper, we disccus (strong) rainbow connection number of corona product of path and complete graph. 
Stability Analysis and Traveling Wave Solutions of the Dynamic Model of Bird Flu Transmission in Poultry–Human Interaction Dilla, Rahma; Putri, Arrival Rince; Alfiany, Noverina; Syafwan, Mahdhivan
Jurnal Matematika UNAND Vol. 14 No. 4 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.4.355-365.2025

Abstract

This study analyzes the stability of a mathematical model of avian influenza virus spread in poultry-human interaction population. The analysis was conducted to see the dynamics of the spread of avian influenza virus. From the model, the equilibrium points and basic reproduction numbers associated with the stability of the system are obtained. The results obtained show that stability depends on the basic reproduction number. Numerical simulations were carried out using Maple and gave the result that the infection rate is low and the system reaches a stable state where the infection does not disappear but does not spread significantly.
ANALYSIS OF SOLVING THE BLACK-SCHOLES EQUATION USING THE FINITE DIFFERENCE METHOD WITH A NON-UNIFORM GRID Bulandari, Manisya; Syafwan, Mahdhivan; Asdi, Yudiantri
Jurnal Matematika UNAND Vol. 14 No. 4 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.4.451-462.2025

Abstract

Artikel ini mengimplementasikan metode beda hingga dengan skema eksplisit berbasis grid tidak seragam pada persamaan Black–Scholes untuk menghitung harga opsi call Eropa. Skema diturunkan menggunakan deret Taylor sehingga diperoleh sistem persamaan beda yang kemudian ditransformasikan ke dalam bentuk matriks dan diselesaikan secara rekursif melalui pemrograman Matlab. Berdasarkan simulasi numerik untuk nilai-nilai parameter tertentu, hasil yang diperoleh menunjukkan bahwa skema beda hingga dengan grid tidak seragam menghasilkan solusi yang lebih akurat dibandingkan grid seragam. Galat relatif lebih besar untuk harga saham yang berada di sekitar harga pelaksanaan, tetapi dapat dikurangi secara signifikan melalui penggunaan grid tidak seragam. Selain itu, pendekatan grid tidak seragam memberikan efisiensi komputasi yang lebih baik dibandingkan skema seragam.
Integral Hypergraphs Of The Cartesian Product Of Fano Plane And Latin Squares Of Order 3 Astuti, Mulia; Mayasari, Zulfia Memi; FAISAL, FACHRI; AFANDI, NUR
Jurnal Matematika UNAND Vol. 14 No. 4 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.4.333-340.2025

Abstract

Operasi pada hipergraf adalah suatu cara untuk mengkonstruksi suatu hipergraf dengan struktur yang lebih besar. Salah satu operasi pada hipergraf yang biasa dipelajari adalah operasi kali Kartesius. Suatu hipergraf dikatakan integral jika semua nilai karakteristik dari matriks ketetanggaannya adalah bilangan bulat. Dalam makalah ini, dipelajari dua kelas hipergraf yaitu, bidang Fano dan latin square orde 3. Dapat ditunjukkan bahwa kedua kelas hipergraf tersebut adalah integral. Selanjutnya, ditentukan hipergraf hasil operasi kali Kartesius dari kedua hipergraf tersebut. Dapat dibuktikan bahwa operasi kali Kartesius pada hipergraf mempertahankan sifat keintegralan.
Numerical Modelling of Social Media Addiction Cases Using 15th Order Runge-Kutta Fatahillah, Arif; Prihandini, Rafiantika Megahnia; Hidayatullah, Arfan; Setiawani, Susi; Adawiyah, Robiatul
Jurnal Matematika UNAND Vol. 14 No. 4 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.4.400-410.2025

Abstract

The advancement of information technology has led to more and more people, especially teenagers, becoming addicted to using various social platforms. Despite being a very useful application for social interaction, the habit of spending excessive time on social media is prone to addiction so that teenagers can experience anxiety disorders, depression, health problems, and more. The purpose of this study is to determine the effectiveness of the 15th-order Runge-Kutta method in solving mathematical models in the case of social media addiction. The method used in this research uses experimental research and data collection is done by systematically observing and recording the research indicators. The research was conducted by observing the error, number of iterations, running time, and graphs. In this study, adolescents aged 15-18 years were divided into three compartment states which were modeled into mathematical equations. The results of this study indicate that the 15th order Runge-Kutta method is more effective for solving mathematical models on social media addiction compared to Ordinary Differential Equation (ODE).
ON HEREDITARY NOETHERIAN AND PRIME MODULES OVER LEAVITT PATH ALGEBRA: SINK AND INFINITE EMITTER Risnawita, Risnawita; GEMA HISTA MEDIKA; ANANDA, TRIYARDI GUSTI
Jurnal Matematika UNAND Vol. 14 No. 4 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.4.390-399.2025

Abstract

This study explores the structural and homological characteristics of left modules over Leavitt path algebras, focusing on those generated by specific vertex types in a directed graph, particularly sinks and infinite emitters. The paper examines the module \( L_K(E)u \), where \( u \in E^0 \) represents either a sink or an infinite emitter, and determines whether this module exhibits the properties of being hereditary, Noetherian, and prime. Our findings indicate that \( L_K(E)u \) is indeed hereditary, implying that all its submodules are projective. Additionally, the module satisfies the ascending chain condition, making it Noetherian. However, it fails to qualify as an a-prime module, since there exist nontrivial left ideals \( I \subsetneq L_K(E) \) for which \( IM \subsetneq M \), thus does not meet the criteria for primality. These results emphasize how the presence of sinks and infinite emitters significantly affects the module-theoretic behavior of Leavitt path algebras.
Performance of Prediction Interval Estimators based on Random Forest Models with Correlated Predictors Ilma, Meisyatul; Sartono, Bagus; Wijayanto, Hari
Jurnal Matematika UNAND Vol. 14 No. 4 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.4.320-332.2025

Abstract

Uncertainty in prediction results is a crucial aspect that needs to be taken into account in regression modeling, especially when there is a high correlation between explanatory variables. This study aims to evaluate the performance of three prediction interval formation approaches, namely Out-of-Bag Prediction Interval (OOB-PI), Quan tile Regression Forest (QRF), and Split Conformal Prediction (SC), in Random Forest modeling. The evaluation was conducted through a simulation study with a variety of data structures, including the level of correlation between variables, the shape of the mean function, and the type of error distribution. Further validation was conducted using data from the National Socio-Economic Survey (SUSENAS) of West Java Province in 2023. The results show that increasing the correlation between explanatory variables can improve the efficiency and accuracy of prediction interval estimation. Overall, OOB-PI showed the most balanced performance compared to the other two methods, with a prediction coverage rate close to 90% and a narrower interval width than QRF and SC. This finding indicates that OOB-PI is an adaptive and efficient approach for various data structures, including socioeconomic data with highly correlated predictors.
New Entropy Pythagorean Fuzzy Set And Its Application In Multicriteria Decision Making Munandar, Arif
Jurnal Matematika UNAND Vol. 14 No. 4 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.4.439-450.2025

Abstract

In this study, a new entropy measure for Pythagorean fuzzy sets is proposed. The validity of the entropy is rigorously verified through the satisfaction of keyaxiomatic properties such as minimality, maximality, symmetry, and resolution. Oncevalidated, the newly developed entropy is applied to a multi-criteria decision-making(MCDM) problem using the TOPSIS method. The integration of this entropy with TOPSIS provides a robust and systematic approach to determining optimal alternatives indecision-making scenarios involving uncertainty and imprecision. The proposed methodenhances the ability to model and analyze complex problems, thereby contributing a noveland effective tool to the field of fuzzy decision-making

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