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INDONESIA
JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Published by Universitas Hasanuddin
ISSN : 18581382     EISSN : 26148811     DOI : -
Core Subject : Education,
Mathematics
Jurnal ini mempublikasikan paper-paper original hasil-hasil penelitian dibidang Matematika, Statistika dan Komputasi Matematika.
Arjuna Subject : -
Articles 514 Documents
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The Generalized Riemann Integral James Purba
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 2 (2025): JANUARY 2025
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i2.41557

Abstract

Riemann integration theory integrates functions on a bounded interval as a Riemann sum approach (integral) where the fineness of the partitions is controlled by a number (norm) of the partition. In Generalized Riemann integral theory, the Riemann sum approach of functions is controlled by a gauge on tagged partition so that enabling integrating functions with much larger collections. Therefore, the theorems that apply to Generalized Riemann integral theory have differences in their hypotheses and conclusions. In this paper, theory of Generalized Riemann integral is studied by giving some examples of functions that are Generalized Riemann integrable such that they are not Riemann integrable; and proving some theorems that apply in this theory. The functions are integrable by constructing a gauge on the tagged partition of the interval such that the Riemann sum of the function is very close to some real number. Functions defined on a bounded interval that are Generalized Riemann integrable such that they are or not Riemann integrable have the general form of the function: a function f on [a,b] is continuous on [a,b]\Z and discontinuous on Z, where Z is a null set. Moreover, an unbounded function f on [a,b] is integrable, if the set Z where f is unbounded on Z is a countable set. Furthermore, these two criteria can be extended to infinite intervals, i.e. a function defined on an infinite interval can be Generalized Riemann integrable such that it is not Riemann integrable, if the set of discontinuous and unbounded points of the function is a null set. A sequence of integrable functions on an interval I that converges to a function on I, satisfies that this limit function is integrable if it satisfies that the existence of the dominating functions.
Connected Size Ramsey Numbers for The Pair Complete Graph of Order Two versus Union Complete Graph of Order Three Hasmawati Hasmawati; Sri Indrayani
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 2 (2025): JANUARY 2025
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i2.41850

Abstract

Let F,G, and H be finite, simple, and undirected graphs. The connected size Ramsey number r ̂_c (G,H) of graph G and H is the least integer k such that there is a connected graph F with k edges and if the edge set of F is arbitrarily colored by red or blue, then there always exists either a red copy of G or a blue copy of H. This paper shows that the connected size Ramsey number r ̂_c (2K_2,〖nK〗_3 )=4n+3, for n≥4.
Hopf bifurcation in a dynamic mathematical model in facultative waste stabilization pond GESTI ESSA WALDHANI WALDHANI
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 2 (2025): JANUARY 2025
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i2.41888

Abstract

 In this paper, we discuss the predator-prey model using Holling type II functional response with the time delay in facultative stabilization pond. In this research, we discuss the predator-prey model using Holling type II functional response with the time delay, determining the equilibrium point, the stability analysis of predator-prey model using Holling type II functional response with the time delay and numerical simulation of the predator-prey model using Holling type II functional response with the time delay. The method used to analyse the problem is by literature study. The steps used are the development of a mathematical model of change of dissolved oxygen concentration, phytoplankton and zooplankton, mathematical equation solving algorithm, field data, simulation using Maple and Mathematica 9 software and validation with research.
Comparison of Forecasting Model Using Chen and Lee High Order Fuzzy Time Series (Farmer’s Terms of Trade of Crops Subsector in Nusa Tenggara Timur Province Case) Fais Muzaki; Neli Agustina
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 2 (2025): JANUARY 2025
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i2.42000

Abstract

The farmer’s terms of trade of food crops subsector (NTPP) in Nusa Tenggara Timur Province has always been below 100 in 2019-2023. Food crops are a substantial agricultural subsector in which its contribution to the PDRB is significant and concerns the food adequacy of the region. NTPP is a proxy indicator to see farmers’ welfare and its value is expected to grow periodically. Therefore, predictive modeling is required to know future NTPP values and to know the purchasing power of food crop farmers. The aim of this research is to compare the accuracy of Chen and Lee model with the high order fuzzy time series for NTPP forecasting in Nusa Tenggara Timur Province. This research uses monthly data from NTPP Nusa Tenggara Timur from January 2016 to October 2024. The research results show that additions up to the 3rd order increase forecast accuracy and the Lee model is more accurate than the Chen model seen from the smaller RMSE and MAPE values. The MAPE values ​​of the 3rd order fuzzy time series Chen and Lee model are 0.5453% and 0.5088% respectively. Based on the MAPE value, the 3rd order Lee model is the most accurate in forecasting NTPP in Nusa Tenggara Timur Province.    
Optimizing Credit Scoring Performance Using Ensemble Feature Selection with Random Forest Ana Fauziah
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 2 (2025): JANUARY 2025
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i2.42032

Abstract

Credit scoring has a very important role in the financial industry to assess the eligibility of loan applicants and mitigate credit risk. However, the main challenge in credit scoring modeling is the large number of features that need to be considered. Feature selection becomes an inevitable step to improve model performance. This research proposes the use of hybrid ensemble boosting techniques through XGBoost, LightGBM, and CatBoost methods, as well as aggregation techniques for feature selection, the results of which are then used to build predictive models using Random Forest. Experimental results show that the aggregation technique using feature slices selected by the three methods provides the best model with the least number of features, which is only about 11% of the total features. The use of fewer features not only increases the computational speed and efficiency of the model but also improves the generalization ability, which allows the model to perform better on new data. In addition, this model shows the smallest difference between train accuracy and mean cross-validation score, indicating high model stability and reliability.
On 2-Primal Quinary Semiring and its Characterizations by Special Subsets Tuhfatul Janan
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 2 (2025): JANUARY 2025
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i2.42165

Abstract

In this research, we introduce a new concept of 2-primal quinary semiring and its characterizations by utilizing special subsets. This concept is a generalization of 2-primal ternary semiring. The method of this research is a literature study on scientific articles in international journals. This research starts from concept of quinary semiring and some its ideals, then continues by studying the basic concept of 2-primal quinary semiring, including weakly and strongly nilpotent sets. Next, we define some special subsets of quinary semiring, and then provide some of their properties. Through this special subsets, we provide characterizations of 2-primal quinary semiring.
Stability and Bifurcation Analysis of a Bird Flu Model with Vaccination in Poultry Farm arrival rince putri; Bala Muhammad Muhammad; Mahdhivan Syafwan
Jurnal Matematika, Statistika dan Komputasi Vol. 22 No. 3 (2026): May 2026
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v22i3.47980

Abstract

We analyze a nonlinear compartmental model describing bird flu transmission dynamics within a poultry farm, incorporating susceptible, infectious, and removed compartments with vaccination. The basic reproduction number R0 is derived, and the local stability of the disease-free and endemic equilibrium is investigated using linearization techniques. Bifurcation analysis based on standard bifurcation theory is conducted to identify parameter leading to qualitative changes in disease dynamics, revealing the occurrence of a forward transcritical bifurcation. Numerical simulations are used to illustrate threshold behavior and assess the impact of vaccination as a mitigation strategy on outbreak persistence. The results provide insights into control thresholds and the design of effective on-farm intervention strategies
Hyper-Wiener and Harary Indices of The Line Graph of Zero Divisor Graph For Integer Modulo Ring Fariz Maulana; I Gede Adhitya Wisnu Wardhana
Jurnal Matematika, Statistika dan Komputasi Vol. 22 No. 3 (2026): May 2026
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v22i3.48758

Abstract

This paper studies the line graph of the zero divisor graph of the ring Z_(P^n ), where p is a prime and n is a natural number. The main objective is to compute closed formulas for the Hyper–Wiener and Harary indices of the line graph L(〖ΓZ〗_(P^n ) ) and to analyze their relationship with the first Zagreb index of the original graph ΓZ_(P^n ). The results establish connections between structural properties of the zero divisor graph and those of its corresponding line graph, offering a deeper understanding of interactions among degree-based and distance-based topological indices.
Development of the X-ROOT Learning Medium on Exponents in Grade VIII Nur Lailatul Rahmah; Faridah Siti
Jurnal Matematika, Statistika dan Komputasi Vol. 22 No. 3 (2026): May 2026
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v22i3.48812

Abstract

This study aims to develop an X-ROOT mathematics learning medium for VIII-grade students on exponents. The research was motivated by the limited use of media in mathematics learning and students' difficulties in distinguishing multiplication from exponentiation and solving related problems. This study is Research and Development using the ADDIE model. Data were collected through observation, interviews, documentation, and questionnaires. The instruments included interview guidelines, observation sheets, and validation sheets. The subjects consisted of 21 students in class VIII B at Hasyim Asy'ari Islamic Junior High School in Malang City, chosen by the Purposive Sampling technique. The validity test was obtained from validation by a learning media expert and a material expert, while the practicality test was obtained from practitioner validation and student response questionnaires. The validity results showed scores of 86,6% from the media expert and 93,3% from the material expert. Practicality results were 90% from the practitioner and 93,3% from student responses. Based on these findings, the X-ROOT instructional media is categorized as very valid and very practical for mathematics learning.    
Association Between Smartphone Use and Insomnia Incidence in Youth: A Meta-Analysis Rezza Debby Kurniawan; Murni Muhzal; Anggy Yulistya Putri; Caecilia Bintang Girik Allo; Dina Jumiatul Fitri
Jurnal Matematika, Statistika dan Komputasi Vol. 22 No. 3 (2026): May 2026
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v22i3.48832

Abstract

Smartphone use has become an integral part of young people's lives (adolescents/students). However, excessive use is often associated with the incidence of insomnia. Various studies have been conducted to examine this relationship, but they have produced varying risk magnitudes. Meta-analysis can be used to quantitatively summarize the impact of smartphone use on the incidence of insomnia in young people. This study uses data from three cross-sectional journals published between 2022 and 2024, comprising a total of 371 respondents, that met the PICO criteria. The calculation of summary effect sizes used the random effect model because the results of the studies used came from different researchers, which was also confirmed by a substantial heterogeneity value (I² = 80.0%). The effect size used is the Risk Ratio (RR). The pooled analysis results showed that excessive smartphone use significantly increased the risk of insomnia. The obtained Summary Risk Ratio (RR) was 2.6199 (95% CI: 1.0791 – 6.3609). These results interpret that the risk of insomnia in young people with excessive smartphone use is 2.6199 times higher compared to normal use. Thus, smartphone use is a significant risk factor for the incidence of insomnia in young people

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