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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.
SOFT GRAPHS OF THE BARBELL STAR GRAPH Helmi, Monika Rianti; Sy, Syafrizal; Nazra, Admi; Muhafzan; Hanifa, Nurul; Alfiany, Noverina
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.14.4.366-375.2025

Abstract

\textit{Let $G^*=(V(G^*),E(G^*))$ is a simple graph and $A$ be a non-empty set of parameter. Let $R\subseteq A\times V(G^*)$ be a arbitrary relation from $A$ to $V(G^*)$. A mapping $F:A\to P(V(G^*))$ can be defined as $F(x)=\left\{y\in V\mid xRy \right\}$ and a mapping $K:A\to P(E(G^*))$ can be defined as $K(x)=\left\{uv\in E\mid \left\{u,v\right\}\subseteq F(x)\right\}$. A pair $(F,A)$ and $(K,A)$ are soft sets over $V(G^*)$ and $E(G^*)$ respectively, then $(F(a),K(a))$ is a subgraph of $G^*$. The 4-tuple $G=(G^*,F,K,A)$ is called a soft graph of $G$. In this paper, we enumerate soft graph of amalgamation of path and star.}
BILANGAN RAMSEY MULTIPARTIT HIMPUNAN (R-M-H) M_j(C_n, C_s) UNTUK CYCLE Majid, Abdul -; SY, SYAFRIZAL; NAZRA, ADMI
Jurnal Matematika UNAND Vol. 12 No. 4 (2023)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.12.4.309-317.2023

Abstract

Diberikan dua graf G dan H sembarang. Bilangan Ramsey multipartit himpunan (R-M-H) M_j(G, H) dengan bilangan asli j ≥ 2, adalah bilangan bulat positif terkecil t sedemikian sehingga jika semua sisi dari graf multipartit seimbang lengkap K_{t×j} diberi sebarang 2−pewarnaan merah-biru, maka graf K_{t×j} senantiasa memuat G berwarna merah sebagai subgraf atau H berwarna biru sebagai subgraf. Graf C_n adalah suatu graf cycle dengan n ≥ 3 titik. Pada artikel ini, Penulis akan menentukan bilangan R-M-H M_j(C_n, C_s) untuk sebarang bilangan asli n ≥ 3 ganjil dan s ≥ 3. Hasil dari penelitian ini adalah ditemukannya bilangan R-M-H Mj (C_n, C_s) untuk cycle.
Intuitionistic Fuzzy Differential Equations for Economic Cycles: Theory and Indonesian Applications Efendi, Efendi; Nazra, Admi; Haripamyu, Haripamyu; Syafwan, Mahdivan
Jurnal Orientasi Bisnis dan Entrepreneurship (JOBS) Vol 6 No 2 (2025): DECEMBER 2025
Publisher : Lembaga Penelitian Universitas YARSI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33476/jobs.v6i2.5850

Abstract

This paper reviews the literature at the intersection of Intuitionistic Fuzzy Differential Equations (IFDEs) and economic modeling, emphasizing their potential to explain economic cycle dynamics under uncertainty. The review identifies a clear research gap, as no existing studies explicitly apply IFDE-based models to economic cycles. To address this gap, the paper synthesizes two related research streams: the mathematical foundations of IFDEs and the application of Intuitionistic Fuzzy Sets (IFS) in economics and finance. The analysis shows that IFDEs extend conventional fuzzy and differential equation models by incorporating membership (µ), non-membership (ν), and hesitation (π) degrees, allowing uncertainty and behavioral ambiguity to be modeled endogenously. Based on this synthesis, a conceptual IFDE-based framework for economic cycle analysis is proposed. Simulation experiments using Indonesia’s macroeconomic data indicate that second-order IFDE models can detect expansion–contraction transition phases 20–30% earlier than classical models and uncover policy-induced uncertainty bands overlooked by standard approaches. These results suggest that IFDEs provide a valuable decision-support tool for policymakers in structurally volatile economies.
The Classification of Diffeomorphism Classes of Real Bott Manifolds Admi Nazra
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 7 No. 1 (2021)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

A real Bott manifold (RBM) is obtained as the orbit space of the n-torus T^n by a free action of an elementary abelian 2-group ZZ_2^n. This paper deals with the classification of some particular types of RBMs of dimension n, so that we know the number of diffeomorphism classes in such RBMs.
On Temperature-Dependent and Spatially Structured Dengue Transmission Models: A Mathematical Review Abdullahi Abdu; Admi Nazra; Arrival Rince Putri; Mahdhivan Syafwan
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 11, No 1 (2026): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v11i1.42040

Abstract

Dengue fever remains a major public health concern in tropical and subtropical regions, where transmission dynamics are strongly influenced by environmental variability and human mobil ity. Mathematical modelling provides a rigorous framework for capturing these interactions and informing effective control strategies.This review presents recent advances in deterministic and spatially structured dengue transmission models that incorporate temperature-dependent parameters and human mo bility. Emphasis is placed on compartmental formulations, including multi-patch and meta population models, where movement between regions plays a key role in disease spread. The influence of temperature on key epidemiological parameters, such as mosquito biting rates, development rates, and survival probabilities, is examined through nonlinear functional relationships.In addition, common analytical approaches are discussed, including the derivation of the basic reproduction number, stability analysis of equilibria, and sensitivity analysis. The integration of control strategies within these frameworks is also reviewed, demonstrating how intervention policies can be evaluated under varying environmental and mobility conditions.Overall, the review highlights the importance of combining environmental and spatial effects to better understand dengue transmission and support adaptive control strategies.
An Extension of Fuzzy N-Soft Sets for Grouped-Object Decision Making Febi Fortuna Megis; Admi Nazra; Yanita Yanita; Efendi Efendi
JTMT: Journal Tadris Matematika Vol 7 No 1 (2026): Volume 7, Issue 1, June 2026
Publisher : Universitas Islam Ahmad Dahlan (UIAD)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47435/jtmt.v7i1.4319

Abstract

This study proposes a grouped-object fuzzy N-soft framework for decision-making problems involving clustered or partitioned data. The proposed framework extends the conventional fuzzy N-soft set model by integrating the concepts of strait fuzzy sets and strait soft sets, thereby enabling the representation of objects at both the individual and group levels. Unlike existing fuzzy N-soft models, which evaluate objects individually, the proposed approach incorporates group-based partitions while preserving fuzzy membership information and grade rankings.A score-based decision-making procedure is developed to compare groups under multiple evaluation parameters. To illustrate the applicability of the framework, a case study on student performance assessment is considered, where students are grouped according to grade classes and fuzzy membership intervals. The results show that the proposed method successfully identifies the most dominant group and provides an interpretable ranking of grouped objects. The main contribution of this study is the introduction of a grouped-object extension of fuzzy N-soft sets that supports group-level decision making through strait-based partitions. This framework broadens the applicability of fuzzy N-soft sets to decision-making environments where objects naturally occur in clusters or categories. The proposed approach also establishes a foundation for future theoretical developments and practical applications involving grouped data under uncertainty.
PELAKSANAAN BIMBINGAN BELAJAR PRIVAT SERTA KAJIAN EFIKASI DIRI DAN MOTIVASI BELAJAR MATEMATIKA UNTUK SISWA PANTI ASUHAN Izzati Rahmi H.G; Admi Nazra; Hazmira Yozza; Narwen Narwen; Yanita Yanita; Lyra Yulianti
Jurnal Hilirisasi IPTEKS Vol. 2 No. 2 (2019)
Publisher : LPPM Universitas Andalas

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jhi.v2i2.340

Abstract

Matematika merupakan bidang ilmu yang sangat penting namun kurang disukai oleh sebagian besar siswa. Ketidaksukaan ini disebabkan oleh kurang mempunyai mereka memahami pelajaran matematika. Untuk mengatasi hal tersebut sebagian siswa memilih belajar tambahan di luar jam sekolah. Namun hal ini tidak bisa dilakukan oleh siswa yang tinggal di panti asuhan. Karena itu diperlukan pendampingan bagi siswa panti asuhan dalam belajar matematika. Kegiatan pengabdian yang dilakukan adalah memberikan bimbingan belajar privat bagi siswa yang tinggal di panti asuhan Anak Mentawai dan Yatim H.Syafri Moesa. Hasil pengamatan menunjukkan bahwa kegiatan ini telah mampu meningkatkan minat dan motivasi siswa dalam belajar matematika. Dalam kegiatan ini juga dilakukan kajian tentang efikasi diri dan motivasi belajar siswa di bidang matematika. Hasil analisis menunjukkan bahwa secara umum hanya sedikit siswa yang memiliki efikasi diri dan motivasi belajar yang tinggi. Hal ini akan bermuara pada prestasi belajar matematika yang rendah. Hasil analisis juga menunjukkan bahwa siswa SD memiliki efikasi diri dan motivasi belajar yang lebih baik dibandingkan siswa SMP dan SMA. Hal ini dapat mengakibatkan semakin menurunnya prestasi belajar matematika seiring meningkatnya tingkatan sekolah siswa. Hasil kajian efikasi diri dan motivasi belajar diharapkan dapat menjadi pedoman dalam menyusun kegiatan pengabdian di masa yang akan datang.
ON N-SOFT HYPERGRAPH Luthfi Hadiyan Fajri; Yanita Yanita; Admi Nazra; Monika Rianti Helmi
Jurnal Matematika UNAND Vol. 15 No. 3 (2026)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.15.3.418-426.2026

Abstract

In this paper we explore the notion of N-soft hypergraphs, which is an hybridization of N-soft set and hypergraph. Next, we define strong N-soft hypergraphs, and induced complete N-soft hypergraphs. We present the definitions of some of their unary operations and examine their properties. Then, we give illustration on how N-soft hypergraph will be applied in portray real-life problem.
Impact of Speckle Reduction Filters on Machine Learning-Based Detection of Polycystic Ovary Syndrome from Ovarian Ultrasound Images Fazrol Rozi; Syafrizal Sy; Adiwijaya; Admi Nazra; Primawati
Jurnal RESTI (Rekayasa Sistem dan Teknologi Informasi) Vol 10 No 4 (2026): August 2026
Publisher : Ikatan Ahli Informatika Indonesia (IAII)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29207/resti.v10i4.7658

Abstract

Polycystic Ovary Syndrome (PCOS) is commonly assessed with ovarian ultrasonography, but speckle can conceal follicular margins and reduce the robustness of automated interpretation. Although automated PCOS studies increasingly employ machine learning, the contribution of conventional despeckling to subsequent segmentation and classification has not been examined consistently. This study compares five classical filters - Mean, Median, Lee, Frost, and Kuan - within an interpretable machine-learning pipeline for ovarian ultrasound analysis. From a public collection of 12,680 images, a balanced sample of 300 scans (150 PCOS and 150 non-PCOS) was selected. Two radiologists produced follicle annotations, and disagreements were resolved with a third expert to obtain consensus masks. Each filtered image was segmented by adaptive thresholding with morphological refinement, after which geometric and intensity descriptors were extracted. Support Vector Machine (SVM), Random Forest (RF), k-Nearest Neighbors (k-NN), and Logistic Regression (LR) were trained using a stratified 70/30 train-test split with cross-validated hyperparameter tuning. The Kuan-LR configuration yielded the strongest result, reaching 94.44% accuracy and an AUC of 0.98, together with the best edge-preservation score and segmentation agreement. The results indicate that preprocessing materially affects the reliability of an interpretable PCOS detection pipeline and provide quantitative guidance for selecting a speckle-reduction strategy before segmentation and classification.