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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 145 Documents
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METODE MULTIPLE IMPUTATION UNTUK MENGATASI KOVARIAT TAK LENGKAP PADA DATA KEJADIAN BERULANG Rianti Siswi Utami; Danardono Danardono
Journal of Fundamental Mathematics and Applications (JFMA) Vol 2, No 2 (2019)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (391.475 KB) | DOI: 10.14710/jfma.v2i2.36

Abstract

Multiple imputation is one of estimation method used to impute missing observations. This method imputes missing observation several times then it is more possible to get the right estimate than just one time imputation. In this research, the method will be applied to estimate missing observations in covariates of recurrent event data. Some multiple imputation methods will be considered including combination of the event indicator, the event  times,   the logarithm of event times, and the cumulative baseline hazard. To compare these methods, Monte Carlo simulation will be used based on relative bias and Mean Squared Error (MSE). The recurrent events will be modelled using Cox proportional hazard model. Furthermore, real data application will be presented.
RELASI GREEN PADA GAMMA-SEMIGRUP YANG DIBANGKITKAN DARI SUATU SEMIGRUP YD Sumanto; Abdul Aziz; Solikhin Solikhin; R. Heri Soelistyo Utomo
Journal of Fundamental Mathematics and Applications (JFMA) Vol 3, No 1 (2020)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (993.818 KB) | DOI: 10.14710/jfma.v3i1.7765

Abstract

In the Gamma-semigroup generated from a semigroup, we can define some equivalence relations called the Green relation. Furthermore, we can examine the relationship between the Green relation on the Gamma-semigroup and the Green relation on it’s generating semigroup.
KARAKTERISASI DAN BEBERAPA SIFAT RUANG CEC Erik Maurten Firdaus; Ade Ima Afifa Himayati
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 2 (2021)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (993.678 KB) | DOI: 10.14710/jfma.v4i2.12199

Abstract

Abstract. In this paper, we define the notion of CEC spaces. We also study about acharacterization and some properties of CEC spaces such as hereditary, topologicalproperty, finite productive, and divisible.Abstrak. Di dalam tulisan ini, didefinisikan ruang CEC. Dibahas pula karakterisasidan beberapa sifat ruang CEC seperti menurun, sifat topologi, produk berhingga, dan terbagi.
SOLUSI LEMAH MASALAH DIRICHLET PERSAMAAN DIFERENSIAL PARSIAL LINEAR ELIPTIK ORDER DUA Sekar Nugraheni; Christiana Rini Indrati
Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 1 (2018)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v1i1.2

Abstract

The weak solution is one of solutions of the partial differential equations, that is generated from derivative of the distribution. In particular, the definition of a weak solution of the Dirichlet problem for second order linear elliptic partial differential equations is constructed by the definition and the characteristics of Sobolev spaces on Lipschitz domain in R^n. By using the Lax Milgram Theorem, Alternative Fredholm Theorem and Maximum Principle Theorem, we derived the sufficient conditions to ensure the uniqueness of the weak solution of Dirichlet problem for second order linear elliptic partial differential equations. Furthermore, we discussed the eigenvalue of Dirichlet problem for second order linear elliptic partial differential equations with  respect to the weak solution.
PENYELESAIAN NUMERIK MODEL PREDATOR-PREY DENGAN SKEMA BEDA HINGGA TAK-STANDAR Rina Reorita; Renny Renny
Journal of Fundamental Mathematics and Applications (JFMA) Vol 2, No 1 (2019)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (281.769 KB) | DOI: 10.14710/jfma.v2i1.24

Abstract

Interaction between predator and prey can be represented as a system of non-linear differential equation which is difficult to be solved analytically. In this research, a predator-prey model with an addition of harvesting factor is discretized into a system of difference equation using non-standard finite difference scheme. The analysis result shows that the developed scheme has qualitative property which is consistent to the continuous system.
EASY ENSEMMBLE WITH RANDOM FOREST TO HANDLE IMBALANCED DATA IN CLASSIFICATION Sarini Abdullah; GV Prasetyo
Journal of Fundamental Mathematics and Applications (JFMA) Vol 3, No 1 (2020)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1177.977 KB) | DOI: 10.14710/jfma.v3i1.7415

Abstract

Imbalanced data might cause some issues in problem definition level, algorithm level, and data level. Some of the methods have been developed to overcome this issue, one of state-of-the-art method is Easy Ensemble. Easy Ensemble was claimed can improve model performance to classify minority class, and overcome the deficiency of random under- sampling. In this paper we discussed the implementation of Easy Ensemble with Random Forest Classifiers to handle imbalance problem in credit scoring case. This combination method is implemented in two datasets which taken from data science competition website, finhacks.id and kaggle.com with class proportion within majority and minority is 70:30 and 94:6. The results showed that resampling with Easy Ensemble can improve Random Forest classifier performance upon minority class. Recall on minority class increased significantly after the resampling. Before resampling, the recall on minority class for the first dataset (finhacks.id) was 0.49, and increased to 0.82 after the resampling. Similar results were obtained for the second data set (kaggle.com), where the recall for the minority class was increased from just 0.14 to 0.73.
TOPOLOGI DI RUANG METRIK PSEUDO-b_s Zahra Aulia Emeralda; Christiana Rini Indrati
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 1 (2021)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1709.561 KB) | DOI: 10.14710/jfma.v4i1.10386

Abstract

Dalam tulisan ini dibahas mengenai beberapa sifat metrik pseudo-$b_s$ dan topologi dalam ruang metrik pseudo-$b_s$ di antaranya kekonvergenan-$b_s$ barisan, barisan Cauchy-$b_s$, ruang metrik pseudo-$b_s$ lengkap, serta himpunan tertutup-$b_s$.
QUADRATIC POLYNOMIAL OF POWER SUMS AND ALTERNATING POWER SUMS Leomarich F Casinillo
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 2 (2021)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1178.047 KB) | DOI: 10.14710/jfma.v4i2.10675

Abstract

This study aims to construct quadratic polynomials in n for power sums and alternating power sums of consecutive positive integers. In addition, this paper evaluated the said quadratic polynomials under odd and even terms of the series.
OPTIMISASI MULTIOBJEKTIF DALAM PEMBENTUKAN PORTOFOLIO OPTIMAL SAHAM DENGAN PENGUKURAN VALUE AT RISK (VAR) Nanda Surya Jatnika; Esther Sorta Mauli Nababan
Journal of Fundamental Mathematics and Applications (JFMA) Vol 5, No 1 (2022)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1465.029 KB) | DOI: 10.14710/jfma.v5i1.14662

Abstract

When investors invest in their stock, the strategy used by an investor is to form an optimal portfolio of shares. An optimal stock portfolio can be created by utilizing the multi-objective optimization method, which can help investors achieve maximum return and minimum risk simultaneously. The multi-objective method has a weighting factor that acts as a risk indicator to assist investors in taking risks on the expected return. This study aims to optimize investors' profits and losses by forming an optimal stock portfolio using multi-objective and Value at Risk (VaR) measurements. The data used by the researcher is the weekly closing price of stocks which are always included in the LQ-45 stock index for the period 31 January 2019 – to 31 December 2020. The formed portfolio consists of three stocks, namely INCO.JK, MNCN.JK, and EXCL.JK. From the formed portfolio, the number of losses and profits obtained by investors can be seen based on the magnitude of the weighting coefficient k. Therefore, the greater the chance of profit (return), the greater the chance of loss (risk) that investors will receive.
OPERATOR PADA RUANG FUNGSI TERINTEGRAL DUNFORD Solikhin Solikhin; Y.D. Sumanto; Susilo Hariyanto; Abdul Aziz
Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 2 (2018)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (3923.711 KB) | DOI: 10.14710/jfma.v1i2.17

Abstract

An integral Dunford and an operator on Dunford integrable functional space have discussed in this article. The results were shown that the Dunford integrable functional space was a linear function. For every Dunford integrable function on a closed interval, there is an operator that is linear bounded and weak compact operator, whereas its adjoin operator is also linear bounded and weak compact. An operator is weak compact if and only if its adjoin operator is weak compact. Furthermore, the norm of this operator was equal to the norm of its adjoin operator.

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