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All Journal M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Indonesian Journal of Fundamental Sciences Journal of Mathematics, Computation and Statistics (JMATHCOS)
Muhammad Farhan
Universitas Negeri Makassar
Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Education Electrical & Electronics Engineering Energy Engineering Environmental Science Immunology & microbiology Materials Science & Nanotechnology Mathematics Mechanical Engineering Medicine & Pharmacology Physics

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Analisis Keakuratan Pendekatan Hybrid ARIMAX dan Radial Basis Function Neural Network pada Pemodelan Data Curah Hujan di Kota Makassar Wahidah Sanusi; Alimuddin Alimuddin; Muhammad Farhan; Nurlaila Kaito; Nurkhalifah Anwar
Indonesian Journal of Fundamental Sciences Vol 12, No 1 (2026)
Publisher : Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26858/ijfs.v12i1.85986

Abstract

Abstrak. Penelitian ini bertujuan untuk mengatasi keterbatasan tersebut dengan mengembangkan sebuah model peramalan hybrid, serta menganalisis tingkat akurasinya. Menggabungkan keunggulan pemodelan linier dan non-linier, penelitian ini menerapkan arsitektur hybrid SARIMAX-Radial Basis Function Neural Network (RBFNN). Model ini dibangun melalui pendekatan dua tahap: pertama, model SARIMAX dengan parameter (0,1,1)(0,1,1)₁₂ digunakan untuk memodelkan pola linear-musiman. Kedua, RBFNN dilatih secara spesifik untuk memetakan pola non-linear yang terkandung dalam residual (kesalahan) dari model SARIMAX. Kinerja model hybrid terhadap data pengujian menunjukkan hasil yang sangat positif, terbukti secara signifikan lebih akurat dibandingkan model SARIMAX tunggal. Model hybrid menunjukkan kemampuan superior dalam mengikuti fluktuasi data aktual, yang pada akhirnya menghasilkan prediksi dengan galat yang jauh lebih rendah. Akurasi yang lebih tinggi ini dikonfirmasi melalui nilai Mean Absolute Percentage Error (MAPE) yang lebih kecil, yang mengindikasikan potensi besar dari pendekatan hybrid ini untuk menyediakan peramalan meteorologi yang lebih efektif dan dapat diandalkan untuk Kota Makassar
Students' Strategies and Creativity in Solving Mathematical Literacy Problems Usman Mulbar; Ahmad Zaki; Mar Athul Wazithah T; Muhammad Farhan
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 2 (2026): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v11i2.1044

Abstract

This study aims to describe students’ strategies and creativity in solving mathematical literacy problems. Mathematical literacy requires students not only to understand mathematical concepts but also to select appropriate problem-solving strategies and apply creative thinking in various contexts. Therefore, understanding how students use strategies and demonstrate creativity in solving mathematical literacy problems becomes important. The research employed a qualitative descriptive method involving junior high school students who were categorized into high, medium, and low ability levels based on the results of a mathematical literacy problem-solving test. The main instruments were the researchers themselves, while the supporting instruments included a mathematical literacy test, interview guidelines, and validation sheets. Data were collected through two stages of testing and two stages of interviews, and triangulation was employed to ensure data validity. In addition, triangulation across methods and time was employed to enhance the validity of the data. The results showed that students demonstrated different strategies and levels of creativity in solving problems. Students in the high-ability category were able to understand problems well, choose appropriate strategies, and exhibit all indicators of creativity—fluency, flexibility, and novelty. Medium-ability students showed fluency and novelty or flexibility and novelty, while low-ability students generally did not meet any creativity indicators due to difficulties in understanding the problems and selecting proper strategies.
The Coefficient Parallelisator Matrix: A Diagonal Similarity Operator for Symmetry Preservation in Knot Semantic Logic Ja'faruddin Ja'faruddin; Nur Wahidin Ashari; Baharuddin Baharuddin; Syahrullah Asyari; Wulan Nur Fadiyah; Muhammad Farhan
Journal of Mathematics, Computations and Statistics Vol. 8 No. 2 (2025): Volume 08 Nomor 02 (Oktober 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i2.10762

Abstract

This study introduces the Coefficient Parallelisator Matrix (CPM) as a novel diagonal similarity operator designed to preserve structural and semantic symmetry within the framework of Knot Semantic Logic (KSL). The CPM formalizes the process of parallelization in linguistic and conceptual structures by transforming semantic matrices through similarity operations that maintain eigenvalues, determinants, and symmetry invariants. Each element of the CPM acts as a scaling coefficient, re- balancing semantic weights while conserving the overall interpretive equilibrium of the text. Mathematically, the transformation A′ = MAM−1 establishes a spectral equivalence between the original and parallelized structures, ensuring that both share identical eigen-spectra, determinant, and Hermitian invariants. This invariance reflects a form of semantic gauge symmetry, wherein the un- derlying topology of meaning remains stable despite local transformations in semantic intensity. Conceptually, the operator bridges linguistic theory, topology, and algebraic representation, providing a formal mechanism for analyzing reflective relations such as parallelism, chiasmus, and concentric composition. The findings extend the mathematical foundation of KSL by establishing the Coefficient Parallelisator as an analytical framework for quantifying semantic symmetry—enabling deeper integration between mathematical logic, structural linguistics, and computational semantics.
Co-Authors AHMAD ZAKI Alimuddin Tampa Ashari, Nur Wahidin Baharuddin Baharuddin Ja'faruddin Ja'faruddin Mar Athul Wazithah T Nurkhalifah Anwar Nurlaila Kaito Syahrullah Asyari, Syahrullah Usman Mulbar Wahidah Sanusi Wulan Nur Fadiyah