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Perspectives in Mathematics and Applications (PERMATA)
Published by PT. Kreasi Pustaka Mandiri (Krestama)
ISSN : -     EISSN : 31103847     DOI : -
Core Subject : Economy, Science, Engineering,
Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Engineering Physics
Perspectives in Mathematics and Applications (PERMATA) is a high-quality, peer-reviewed, open-access journal published by Kreasi Pustaka Mandiri (Krestama), with biannual issues in June and December, and has a registration number e-ISSN 3110-3847 (media online). PERMATA provides a dedicated platform for researchers, academics, and practitioners to publish rigorous theoretical and applied mathematical research. The journal covers: Pure Mathematics, including algebra, analysis, geometry, topology, and number theory. Applied Mathematics, spanning computational mathematics, mathematical modeling, optimization, statistics, and operations research. Interdisciplinary Applications, integrating mathematics with science, engineering, economics, and education advancements. PERMATA aims to bridge theory and real-world applications by fostering the exchange of ideas across disciplines, contributing to the ongoing development of mathematical sciences.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 15 Documents
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Analisis Konseptual Matematis terhadap Dua Game Pembelajaran Berbasis Aljabar Linear Hilda Sari Laonga; Ade Lia Rahmaningrum; Tasya Agustin Hermawati; Fatimah Azzahra; Habib Giynastiar
Perspectives in Mathematics and Applications Vol 2 No 01 (2026): Juni
Publisher : Kreasi Pustaka Mandiri (Krestama)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.66256/permata.v2i1.27

Abstract

This study aims to analyse mathematical representations in two interactive media: vector unknown and GeoGebra-based linear transformation simulation, within the context of applied linear algebra learning. Using a qualitative-descriptive approach, this study examines the consistency of symbolic structure, spatial visualisation, and applicative relevance across the two media. The results of the analysis show that Vector Unknown is effective at representing a combination of linear and result spaces, whereas GeoGebra excels at visualising matrix and determinant transformations. Both support conceptual understanding and modelling skills that are essential in the fields of Engineering, computer graphics, and spatial systems. The study confirms that interactive media can bridge the gap between abstraction and real-world applications, encouraging inquiry-based learning. The limitations of this study include the limited scope of the concept and the absence of empirical validation based on user performance. Therefore, further research is recommended to expand the media and the scope of concepts.
Analisis deret waktu dan peramalan pengangguran di Kabupaten Purbalingga menggunakan metode penghalusan eksponensial ganda Brown: Evaluasi berbasis akurasi. Dian Pratama; Chandra Sari Widyaningrum; Priska Sari Dewi
Perspectives in Mathematics and Applications Vol 2 No 01 (2026): Juni
Publisher : Kreasi Pustaka Mandiri (Krestama)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.66256/permata.v2i1.43

Abstract

Unemployment remains a persistent socioeconomic challenge in Indonesia, including Purbalingga Regency, Central Java. This study analyzes the unemployment trend and forecasts the number of unemployed individuals in Purbalingga Regency using a time-series approach. Annual unemployment data for 2010–2024 from the Central Bureau of Statistics (BPS) were modeled using Brown’s Double Exponential Smoothing (DES), which is suitable for non-seasonal series with a linear trend. The smoothing parameter (α) was examined from 0.1 to 0.9, and model performance was evaluated using MAD, MSE, and MAPE based on in-sample fitted errors over the 2010–2024 period. The results indicate a fluctuating but upward trend, particularly after the COVID-19 period. The best-performing parameter was α = 0.2, producing the lowest MAD and MAPE; under this evaluation setting, MAPE was below 1%, indicating low in-sample error. Using the selected model, unemployment in 2025 is forecast at approximately 31,795 people. These findings suggest that Brown’s DES can provide a practical baseline forecast to support evidence-based labor market policy and regional economic planning, while the results should be interpreted with caution, given the linear-trend and univariate assumptions.
Penentuan nilai risiko sebagai ambang batas klaim asuransi kendaraan bermotor menggunakan distribusi gamma. Ardiyan Budiman; Wahri Irawan; Mochamad Indrajit Roy
Perspectives in Mathematics and Applications Vol 2 No 01 (2026): Juni
Publisher : Kreasi Pustaka Mandiri (Krestama)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.66256/permata.v2i1.47

Abstract

The growth of motor vehicles in Indonesia has increased the risk of traffic accident losses, highlighting the need for accurate claim risk management by insurance companies. One approach to determining claim thresholds is Value-at-Risk (VaR). This study aims to estimate VaR as a claim threshold for motor vehicle insurance by modeling claim amounts using the Gamma distribution. The research methodology includes descriptive analysis of claim data, distribution selection, parameter estimation via maximum likelihood, and goodness-of-fit testing with the Kolmogorov–Smirnov test. The data consist of 113 paid claim amounts from motor vehicle insurance during the 2024–2025 period. The results indicate that the claim data are positive and right-skewed, making them suitable for modeling with a Gamma distribution with shape parameter α = 10.9073 and scale parameter θ = 0.5457. The calculated VaR values are 30.8716 at the 95% confidence level and 36.687 respectively levels.
Analisis komparatif kinerja operator histogram HE, BBHE, dan CLAHE pada citra fundus sintetis menggunakan metrik kontras dan kecerahan. Liwa Uddin; Kaylatun Ni'mah; Muhammad Fauzan Azima; Parhani Padilah; Saskia Putri Khoirunisa
Perspectives in Mathematics and Applications Vol 2 No 01 (2026): Juni
Publisher : Kreasi Pustaka Mandiri (Krestama)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.66256/permata.v2i1.28

Abstract

This study analyses the fundamental trade-offs in optimising contrast enhancement of retinal fundus images by presenting a mathematical formalisation within the framework of nonlinear discrete operator theory. This study tests the hypothesis that the polarisation of performance between local adaptive and global operators is a fundamental mathematical consequence of the operator architecture used. The BBHE and CLAHE operators are used as the primary representations for each architecture. An orthogonal evaluation framework was introduced, using AMBE to quantify global brightness preservation and EME to quantify local contrast dispersion. Quantitative results on  Fundus imagery shows a statistically significant performance polarisation (p < 0.001; Cohen’s d > 2.8). BBHE achieves the lowest AMBE value , which indicates high luminance fidelity, whereas CLAHE produces the highest EME value , which shows superiority in strengthening local contrasts. Pareto-boundary-based geometric analysis confirms the existence of a structural trade-off between brightness preservation and contrast enhancement, and demonstrates that the ideal quadrant (low AMBE and high EME simultaneously) is unattainable by any single operator. Theoretically, these findings validate the AMBE–EME conflict as a structural constraint in the design of image enhancement operators. The main contribution of this research is the mathematical formalisation of the trade-off and the theoretical foundation for developing future image enhancement operators via a constrained optimisation approach.
Model optimasi berbasis grafik terpadu yang menggabungkan jalur terpendek dan kendala Hamiltonian untuk strategi olahraga motor. Hanif Intishar Razan; Humaira Herwidya Nisa; Muhammad Rizki Eka Darmawan
Perspectives in Mathematics and Applications Vol 2 No 01 (2026): Juni
Publisher : Kreasi Pustaka Mandiri (Krestama)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.66256/permata.v2i1.44

Abstract

This study proposes a unified graph-based optimization model that combines shortest-path methods with Hamiltonian constraints to optimize motorsport strategy. Existing approaches address racing line optimization and pit stop decision-making as separate problems, leaving the formal integration of trajectory-level and strategy-level optimization within a single graph-theoretic architecture as an open problem. The proposed framework models racing trajectories using layered weighted graphs with edge costs derived from track curvature and vehicle dynamics, while strategic decisions are represented within a constrained state-space graph ensuring non-redundant coverage of critical race phases. Shortest-path optimization is employed to minimize the total race time under physically informed constraints. Numerical simulations show that A* reduces lap time by 0.07 seconds over Dijkstra (87.29 s vs. 87.36 s), and the two-stop pit strategy yields the shortest total race time (832.85 s), outperforming the one-stop (896.5 s) and no-stop (879.75 s) alternatives. However, the model is limited by a linear assumption of tire degradation and deterministic race conditions, which may not fully capture stochastic on-track interactions. The originality of this work lies in the formal coupling of trajectory-level edge weights with Hamiltonian-constrained strategy search within a single optimization architecture — a unification not previously established in the motorsport optimization literature. These findings demonstrate graph-based mathematical modeling as a tractable and extensible foundation for data-driven motorsport strategy.

Page 2 of 2 | Total Record : 15

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