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All Journal Electronic Journal of Graph Theory and Applications (EJGTA) BAREKENG: Jurnal Ilmu Matematika dan Terapan International Journal of Computing Science and Applied Mathematics Jurnal Hilirisasi IPTEKS (JHI) Buletin Ilmiah Nagari Membangun Jurnal Matematika UNAND Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Warta Pengabdian Andalas: Jurnal Ilmiah Pengembangan Dan Penerapan Ipteks Multicience Jurnal Matematika Integratif
Admi Nazra
Andalas University. Department Of Mathematics
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A STUDY ON THE STRUCTURE OF MATRICES RELATED TO THE VECH*, VECP*, AND VEC OPERATORS Hidayah, Nurul; Yanita, Yanita; Nazra, Admi
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 1 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss1pp259-270

Abstract

The vec operator is an essential tool in matrix algebra that transforms a matrix into a column vector based on specific rules. This paper introduces two new operators, namely and , which take the main diagonal and supra-diagonal elements of the matrix, respectively. In this paper, we obtain the general form of the matrix , which transform to , with as a matrix of size . In addition, we also develop the general forms of matrices and , which transform into and into , with as a symmetric matrix of size . This study also explores the properties and relationships between these matrices and their relevance to duplication and commutation matrices, providing deeper insights into the structure and operations of matrices.
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.
Co-Authors Abdul - Majid Ahmad Surya Ahmad Syarif Aidil Adrianda Alfiany, Noverina Andika, Witri Arrival Rince Putri Asdi, Yudiantri Athia Nurindah Sari Aulia Nabila Bahri, Susila Baqi, Ahmad Iqbal Budi Rudianto DELLA, SEPTI RAHMA Des Welyyanti Devianto, Dodi DINDA HIDAYATUL ULYA Dwi Sulistiowati EFENDI Efendi Efendi FEBRI ANEZA Hanifa, Nurul Haripamyu Haripamyu Hasibuan, Sahroni Hazmira Yozza Helmi, Monika Rianti Hidayati Rais Hilda Fahlena I Made Arnawa Ikhlas Pratama Sandi Ikhsan Fachriansyah Putra Izzati Rahmi HG Izzati Rahmi HG Jenizon Jenizon Khairunnisa, Latifa LATHIFA SUCI NOVIANA Maiyastri, Maiyastri Majid, Abdul - Mawanda Almuhayar Maya Sari Syahrul Mhd Zukri Muhafzan Muhardiansyah Muhardiansyah Muhardiansyah, Muhardiansyah MUTHIA GUSRIATI Narwen Narwen Nova Noliza Bakar Noverina Alfiany Noviana, Lathifa Suci NURUL HIDAYAH Nurweni Putri Nurwijayanti PUTERI, ILMA Putri, Fadya Zahraini Radhiatul Husna RAHMAT OGI SENTOSA RIDHA FADHILA SANI Riri Lestari ROZI KOFILA PUTRI Sahroni Hasibuan Shodik, Fajar Silvia Rosita Sri Wahyuni Syafrizal Sy Syafrizal Sy, Syafrizal Syafwan, Mahdhivan Yanita . Yanita Yanita YANITA YANITA, YANITA Yanuar, Ferra Yulianti, Lyra Yulianti, Lyra Zukri, Mhd Zulakmal, Zulakmal