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UPAYA MEMBANGUN KARAKTER SISWA MELALUI INTEGRASI KONSEP HIMPUNAN DAN AL-QUR’AN DALAM PEMBELAJARAN MATEMATIKA Izzati Rahmi HG; Admi Nazra; Budi Rudianto; Mahdhivan Syafwan; Ferra Yanuar; Hazmira Yozza; Narwen Narwen; Monika Rianti Helmi; Maiyastri Maiyastri
BULETIN ILMIAH NAGARI MEMBANGUN Vol 6 No 4 (2023)
Publisher : LPPM (Institute for Research and Community Services) Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/bina.v7i4.538

The Quran is the source of all knowledge, including mathematics. On the other hand, mathematics is closely related to everyday life and the development of other fields of knowledge. Mathematics is one of the disciplines closely connected to the verses of the Quran. Mathematics education is expected to improve to meet the advancements in time and technology continually. It is also anticipated that mathematics education can build the character of each student through religious values. This activity aims to introduce the concept of sets integrated with the content of verses found in the Quran. The activity was conducted as an online Zoom meeting and YouTube streaming seminar. Participants included mathematics lecturers, teachers, and students from Islamic junior and senior high schools from ten provinces in Indonesia. The event was titled "The Quran and Set Theory" and received high appreciation from the seminar participants. This was evident from the enthusiastic participation and numerous questions raised during the Q&A session. This activity has motivated teachers and lecturers to integrate the mathematical concepts learned with the Quranic verses. Teachers who participated in this activity are expected to act as agents in popularizing the method of integrated mathematics education with the content of Quranic verses, especially set theory.

SUATU KAJIAN TENTANG SOFT SET TERURUT LATTICE (LATTICE ORDERED SOFT SET) Andika, Witri; Nazra, Admi; Helmi, Monika Rianti
Jurnal Matematika UNAND Vol 13, No 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.287-295.2024

Teori soft set pertama kali diperkenalkan oleh Molodsov sebagai suatu metode untuk menangani ketidakpastian. Metode ini mengkaji mengenai pengelompokan objek-objek yang memenuhi atau tidak memenuhi suatu parameter tertentu. Namun, dalam teori soft set tidak terdapat urutan dalam himpunan parameternya sehingga dikaji suatu teori yaitu lattice ordered soft set. Dalam tulisan ini akan dibahas konsep dari lattice ordered soft set,operasi-operasi pada lattice ordered soft set, sifat-sifat yang dapat diturunkan dari operasi-operasi tersebut, dan struktur aljabar dari lattice ordered soft set yaitu monoid dan hemiring.

SUATU KAJIAN TENTANG SOFT SET TERURUT LATTICE (LATTICE ORDERED SOFT SET) Andika, Witri; Nazra, Admi; Helmi, Monika Rianti
Jurnal Matematika UNAND Vol. 13 No. 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.287-295.2024

Teori soft set pertama kali diperkenalkan oleh Molodsov sebagai suatu metode untuk menangani ketidakpastian. Metode ini mengkaji mengenai pengelompokan objek-objek yang memenuhi atau tidak memenuhi suatu parameter tertentu. Namun, dalam teori soft set tidak terdapat urutan dalam himpunan parameternya sehingga dikaji suatu teori yaitu lattice ordered soft set. Dalam tulisan ini akan dibahas konsep dari lattice ordered soft set,operasi-operasi pada lattice ordered soft set, sifat-sifat yang dapat diturunkan dari operasi-operasi tersebut, dan struktur aljabar dari lattice ordered soft set yaitu monoid dan hemiring.Â Â Â Â

UPAYA MEMBANGUN KARAKTER SISWA MELALUI INTEGRASI KONSEP HIMPUNAN DAN AL-QUR’AN DALAM PEMBELAJARAN MATEMATIKA Izzati Rahmi HG; Admi Nazra; Budi Rudianto; Mahdhivan Syafwan; Ferra Yanuar; Hazmira Yozza; Narwen Narwen; Monika Rianti Helmi; Maiyastri Maiyastri
BULETIN ILMIAH NAGARI MEMBANGUN Vol. 6 No. 4 (2023)
Publisher : LPPM (Institute for Research and Community Services) Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/bina.v7i4.538

The Quran is the source of all knowledge, including mathematics. On the other hand, mathematics is closely related to everyday life and the development of other fields of knowledge. Mathematics is one of the disciplines closely connected to the verses of the Quran. Mathematics education is expected to improve to meet the advancements in time and technology continually. It is also anticipated that mathematics education can build the character of each student through religious values. This activity aims to introduce the concept of sets integrated with the content of verses found in the Quran. The activity was conducted as an online Zoom meeting and YouTube streaming seminar. Participants included mathematics lecturers, teachers, and students from Islamic junior and senior high schools from ten provinces in Indonesia. The event was titled "The Quran and Set Theory" and received high appreciation from the seminar participants. This was evident from the enthusiastic participation and numerous questions raised during the Q&A session. This activity has motivated teachers and lecturers to integrate the mathematical concepts learned with the Quranic verses. Teachers who participated in this activity are expected to act as agents in popularizing the method of integrated mathematics education with the content of Quranic verses, especially set theory.

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

\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 Kromatik Lokasi Graf Tentakel Azizah Riana Putri; Syafrizal Sy; Monika Rianti Helmi
Limits: Journal of Mathematics and Its Applications Vol. 22 No. 2 (2025): Limits: Journal of Mathematics and Its Applications Volume 22 Nomor 2 Edisi Ju
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v22i2.3462

The locating-chromatic number of a graph was introduced by Chartrand et al. in 2002, which is a combined concept between the vertex coloring and partition dimension of a graph. The locating-chromatic number of a graph is a grouping of vertices on a graph based on color, which is called a color class, provided that each vertex on the graph has a different color code. Determining the locating-chromatic number of a graph is done by constructing the lower and upper bound of the locating-chromatic number of the graph. In this paper, we determine the locating-chromatic number of the tentacle graph, which is denoted by T_(k,m,n). Tentacle Graph is a graph constructed from a triangular book graph Bt_n whose common edge is amalgamated with C_k. Then two vertices in C_k that are adjacent to the vertex associated with the terminal edge are amalgamated with the star graphs S_(n_1) and S_(n_2). By determining the lower and upper bounds of the location chromatic number, it is obtained that the location chromatic number of Tentacle Graph is 4, m=1,n=2, n+1, for m>=1, n>= m + 2, and m + 2, for m > 1, n < m + 2.

Bilangan Kromatik Lokasi Graf Amal(K_n, K_m) Syafrizal Sy; Rizki Ladipa YM; Monika Rianti Helmi
Limits: Journal of Mathematics and Its Applications Vol. 21 No. 3 (2024): Limits: Journal of Mathematics and Its Applications Volume 21 Nomor 3 Edisi No
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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

Misalkan G adalah pasangan terurut (V, E), yaitu graf terhubung, dan c adalah suatu pemetaan warna pada graf G yang didefinisikan sebagai c dari V(G) ke himpunan {1, 2, ..., t}, dengan t adalah bilangan asli. Jika simpul u dan v bertetangga di G, maka c(u) tidak sama dengan c(v). Misalkan S_h adalah himpunan simpul yang diberi warna h untuk setiap h anggota {1, 2, ..., t}, maka S_h disebut kelas warna. Misalkan Pi adalah partisi dari himpunan simpul V(G) yaitu Pi = {S_1, S_2, ..., S_t} untuk suatu pewarnaan. Kode warna c_Pi dari simpul v dalam G didefinisikan sebagai vektor dengan t komponen yaitu c_Pi(v) = (d(v, S_1), d(v, S_2), ..., d(v, S_t)), di mana d(v, S_h) adalah jarak minimum antara v dan setiap simpul x dalam S_h, yaitu d(v, S_h) = minimum dari d(v, x) untuk x dalam S_h, dan h dari 1 sampai t. Jika setiap simpul dalam G memiliki kode warna yang berbeda untuk suatu partisi Pi, maka pewarnaan c disebut sebagai pewarnaan lokasi. Nilai minimum dari t sedemikian sehingga G memiliki pewarnaan lokasi dengan t warna disebut sebagai bilangan kromatik lokasi, dan dinotasikan dengan chi sub L dari G. Dalam penelitian ini dibahas tentang bilangan kromatik lokasi dari graf Amal(K_n, K_m). Graf Amal(K_n, K_m) adalah graf yang dibentuk dengan menggabungkan satu simpul di setiap graf lengkap K_n ke setiap simpul di graf lengkap K_m secara satu-satu, dengan syarat m dan n lebih besar atau sama dengan 2, dan m serta n adalah bilangan asli. Dengan menentukan batas bawah dan batas atas bilangan kromatik lokasi, diperoleh bahwa bilangan kromatik lokasi dari graf Amal(K_n, K_m) adalah: sebesar n + 1 jika m lebih kecil atau sama dengan n, dan sebesar m jika m lebih besar dari n

PELATIHAN PEMBUATAN MEDIA TANAM ORGANIK SERTA STRATEGI PEMASARAN DIGITAL UNTUK KEMANDIRIAN MITRA ORGANIK JAYA DI KABUPATEN PADANG PARIAMAN Ratna Aisuwarya; Afriyanti Dwi Kartika; Sinta Silvia; Monika Rianti Helmi
Jurnal Hilirisasi IPTEKS Vol. 6 No. 3 (2023)
Publisher : LPPM Universitas Andalas

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jhi.v6i3.684

This engagement reports the outcomes of a series of training activities conducted to significantly contribute to the development of sustainable agricultural practices in collaboration with our partner, Organik Jaya, located in Padang Pariaman Regency. These training activities encompass various facets with a focus on enhancing the participants' capacity and knowledge. Firstly, we provided training on the technique of composting organic fertilizers from animal waste. Participants were educated on the management of agricultural and livestock waste to produce high-quality organic fertilizers, which can enhance soil fertility and reduce the use of environmentally hazardous chemical fertilizers. Subsequently, we conducted training on the assembly of efficient organic fertilizer grinding machines. Additionally, we offered training in the technique of wood and husk charcoal production using the Drumkiln method based on reverse airflow. This has a positive impact on converting agrikulturlah and forest waste into high-value products like charcoal. Furthermore, we offered strategic guidance on marketing products through online Marketplace platforms, assisting our partners in reaching a wider market and increasing their income. The primary objective of these training sessions was to augment the knowledge and skills of the participants in implementing sustainable practices relevant to agriculture and the environment. The results of these activities are expected to yield positive benefits for local agriculture and provide fresh insights into managing organic raw materials and modern marketing strategies. This engagement provides a crucial foundation for advancing agriculture that is more sustainable and adaptable in facing future challenges.

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

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.

THE MOORE–PENROSE INVERSE OF SYMMETRIC MATRICES WITH EQUITABLE PARTITIONS AND DIVISOR MATRICES Desi Lira Antika; Yanita Yanita; 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.15.3.427-435.2026

A balanced partitioned symmetric matrix is a matrix that has partition blocks that have the same average number of rows and columns. The sum of these average rows and columns is then arranged into a matrix, which is called the divisor matrix. The purpose of this paper is to analyze the relationship between the Moore-Penrose inverse divisor matrix of a balanced partitioned symmetric matrix A and the Moore-Penrose inverse divisor matrix of A. Furthermore, it is obtained that the divisor matrix of the Moore-Penrose inverse of matrix A is the same as the Moore-Penrose inverse of the divisor matrix of A.

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