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All Journal MATEMATIKA CAUCHY: Jurnal Matematika Murni dan Aplikasi Al-Jabar : Jurnal Pendidikan Matematika Science and Technology Indonesia Jurnal Matematika: MANTIK Desimal: Jurnal Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan J Statistika: Jurnal Ilmiah Teori dan Aplikasi Statistika Jambura Journal of Mathematics Jurnal Matematika UNAND Jurnal Pengabdian Kepada Masyarakat (JPKM) Tabikpun Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Jurnal Siger Matematika Journal of Fundamental Mathematics and Applications (JFMA) Jurnal Matematika Integratif Integra: Journal of Integrated Mathematics and Computer Science

Fitriani

Universitas Lampung

Author-ID : 1734437

Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Health Professions Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Social Sciences Transportation

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Enumerate the Number of Vertices Labeled Connected Graph of Order Seven Containing No Parallel Edges Muslim Ansori; Wamiliana; Fitriani; Yudi Antoni; Desiana Putri
Science and Technology Indonesia Vol. 7 No. 3 (2022): July
Publisher : Research Center of Inorganic Materials and Coordination Complexes, FMIPA Universitas Sriwijaya

A graph that is connected G(V,E) is a graph in which there is at least one path connecting every two vertices in G; otherwise, it is called a disconnected graph. Labels or values can be assigned to the vertices or edges of a graph. A vertex-labeled graph is one in which only the vertices are labeled, and an edges-labeled graph is one in which only edges are assigned values or labels. If both vertices and edges are labeled, the graph is referred to as total labeling. If given n vertices and m edges, numerous graphs can be made, either connected or disconnected. This study will be discussed the number of disconnected vertices labeled graphs of order seven containing no parallel edges and may contain loops. The results show that number of vertices labeled connected graph of order seven with no parallel edges is N(G7,m, g)l= 6,727×Cm6; while for 7≤g≤ 21, N(G7,m, g)l= kg C(m−(g−6))g−1, where k7 =30,160, k8 = 30,765, k9=21,000, k10 =28,364, k11= 26,880, k12=26,460 , k13 = 20,790, k14 =10,290, k15 = 8,022, k16 = 2,940, k17 =4,417, k18 = 2,835, k19 =210, k20 = 21, k21= 1.

Prediksi Pengeluaran Non Makanan Masyarakat Kabupaten Tulang Bawang Menggunakan Metode Rantai Markov Ahmad Faisol; Ahmad Rizki Wiranto; Fitriani
J STATISTIKA: Jurnal Imiah Teori dan Aplikasi Statistika Vol 15 No 1 (2022): Jurnal Ilmiah Teori dan Aplikasi Statistika
Publisher : Faculty of Science and Technology, Univ. PGRI Adi Buana Surabaya

COVID-19 tidak hanya berdampak pada kesehatan masyarakat, perekonomian negarapun ikut terkena dampak. Pemerintah telah berupaya dengan berbagai kebijakan strategis agar dapat memulihkan perekonomian di Indonesia sebagai implementasi dari amanat Undang-Undang Dasar Negara Republik Indonesia Tahun 1945 untuk mensejakterakan rakyat. Selain itu, keberhasilan suatu negara dalam mencapai tujuannya dapat dilihat dari tingkat kesejahteraan penduduknya. Banyak indikator yang dapat digunakan untuk melihat kesejahteraan penduduk, diantaranya dapat dilihat dari tingkat konsumsi dan pengeluaran. Pengeluaran rumah tangga dapat dibagi menjadi dua, yaitu pengeluaran makanan dan pengeluaran non makanan. Semakin banyak presentase pengeluaran rumah tangga untuk membeli kelompok non makanan maka semakin tinggi kesejahteraan rumah tangga. Rantai Markov (Markov Chains) adalah suatu metode yang mempelajari sifat- sifat suatu variabel pada masa sekarang, yang didasarkan pada sifat-sifatnya di masa lalu, dalam usaha menaksir sifat-sifat variabel tersebut di masa yang akan datang. Dengan menggunakan metode Markov Chains diperoleh prediksi untuk pengeluaran perumahan dan fasilitas rumah tangga pada tanun 2022-2025 secara berturut-turut 52.5%, 50.3705%, 50.31882%, dan 50.31764%. Untuk prediksi pengeluaran aneka barang dan jasa pada tahun 2022-2025 adalah 24.2%, 23.131, %23.03519%, dan 23.03152%. Prediksi pengeluaran pakaian, alas kaki dan tutup kepala pada periode 2022-2025 sebesar 8.2%, 7.9442%, 7.9319%, dan 7.9913%. Sedangkan prediksi pengeluaran keperluan barang tahan lama tahun 2022-2025 sebesar 7.4%, 10.1995%, 10.34567%, dan 10.35161%. Prediksi pada tahun 2022-2025 untuk pengeluaran keperluan pajak, pungutan dan asuransi sebesar 4.6%, 5.3499%, 5.3642%, dan 5.36373%. Serta pengeluan untuk keperluan pesta pada periode 2022-2025 sebesar 3.1%, 3.0049%, 3.00422%, dan 3.00417%.

Pelatihan Canva Dalam Pembuatan Media Pembelajaran Bagi Guru-Guru SMK Di Bandar Lampung Fitriani Fitriani; Ahmad Faisol; Wamiliana Wamiliana; Notiragayu; Siti Laelatul Chasanah; Dian Kurniasari
Jurnal Pengabdian Kepada Masyarakat (JPKM) TABIKPUN Vol. 3 No. 3 (2022)
Publisher : Faculty of Mathematics and Natural Sciences - Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpkmt.v3i3.96

Canva merupakan suatu tools desain grafis untuk membantu dalam pembuatan desain kreatif yang mudah digunakan. Dalam kegiatan ini, dilaksanakan pelatihan pembuatan media pembelajaran menggunakan Canva bagi guru-guru SMK di Bandar Lampung. Kegiatan ini bertujuan untuk meningkatkan kemampuan peserta dalam pembuatan media pembelajaran menggunakan Canva. Kegiatan ini terdiri dari 3 tahapan yaitu perencanaan, pelaksanaan serta evaluasi dan pelaporan. Tahap pelaksanaan dilakukan dengan metode ceramah interaktif dan praktik. Pemaparan materi dilanjutkan dengan praktik pembuatan media pembelajaran. Kegiatan ini diikuti oleh 31 guru-guru SMK se-Bandar Lampung. Setelah pelatihan, semua peserta mampu membuat media pembelajaran. Berdasarkan survei, 16.13% sangat setuju, 45.16% peserta setuju, 29.03% kurang setuju dan 9.68% tidak setuju menggunakan Canva dalam pembuatan media pembelajaran. Kegiatan pelatihan ini sangat bermanfaat dan menambah wawasan peserta dalam pembuatan media pembelajaran.

The Relationship of Multiset, Stirling Number, Bell Number, and Catalan Number Wamiliana; Attiya Yuliana; Fitriani
Science and Technology Indonesia Vol. 8 No. 2 (2023): April
Publisher : Research Center of Inorganic Materials and Coordination Complexes, FMIPA Universitas Sriwijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/sti.2023.8.2.330-337

Catalan numbers is not as famous as Fibonacci numbers, however this number has own its beauty and arts. Catalan numbers was discovered by Ming Antu in 1730, however, this numbers is credited to Eugene Catalan when he was studying parentheses in 1838. Catalan numbers mostly occurs in counting or enumeration problems. The Catalan numbers can be defined in more than one forms, and the most famous form is Cn = 1/n+1(2nn). In this study we will discuss the multiset construction and the relationship of the results of Multiset with Stirling, Bell, and Catalan numbers.

Homomorfisa Modul Deret Pangkat Tergeneralisasi Miring Ahmad Faisol; Fitriani Fitriani
Jurnal Matematika Integratif Vol 17, No 2: Oktober 2021
Publisher : Department of Matematics, Universitas Padjadjaran

Diberikan sebarang ring komutatif $R$ dengan elemen satuan, monoid terurut tegas $(S,\leq)$, homomorfisma monoid $\omega:S\rightarrow End(R)$, submonoid $S_1,S_2\subseteq S$ yang masing-masing dilengkapi urutan $\leq_1, \leq_2$ yang \textit{coarser} terhadap urutan $\leq$ pada $S$, dan modul $M_1,M_2$ atas $R$. Pada penelitian ini, dikonstruksi modul deret pangkat tergeneralisasi miring $M_1[[S_1,\leq_1,\omega]]$ dan $M_2[[S_2,\leq_2,\omega]]$ atas ring deret pangkat tergeneralisasi miring $R[[S,\leq,\omega]]$. Selain itu, dibuktikan pemetaan $\tau$ dari $M_1[[S_1,\leq_1,\omega]]$ ke $M_2[[S_2,\leq_2,\omega]]$ dengan $\tau(\alpha_1)=\gamma\circ\alpha_1\circ\delta^{-1}$ merupakan $R[[S,\leq,\omega]]$-homomorfisma modul dengan mensyaratkan $f(\delta^{-1}(u))=f(u)$ dan $\omega_{\delta^{-1}(v)}=\omega_{v}$ untuk setiap $u,v\in S_2$ dan $f\in R[[S,\leq,\omega]]$.

Pengelolaan Hutan Produktif untuk Pelestarian Hutan Lampung Menggunakan Operasi Perkalian Modul R^n atas Ring M_n(R) Nikken Prima Puspita; Fitriani Fitriani; Ahmad Faisol; Lucia Ratnasari
Jurnal Pengabdian Kepada Masyarakat (JPKM) TABIKPUN Vol. 4 No. 1 (2023)
Publisher : Faculty of Mathematics and Natural Sciences - Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpkmt.v4i1.106

This activity is in the form of a seminar on productive forest harvesting models. The topic presented is modeling which is done by classifying trees in an area into classes based on their height. Then a two-vector equation model is formulated so that the harvested and unharvested tree configurations are balanced and sustainable and produce an optimal profit. So this model can be used to calculate optimal profit but still pay attention to forest sustainability. Profit is calculated based on three components: harvest vector, non-harvest vector, and Growth Rate matrix. Based on the results of the discussion, there are several obstacles to the model that has been constructed so that it can be used in the Lampung region and become an opportunity for research and collaboration between academics and local government. Furthermore, this forest management model can be modified for fruit-type productive forests such as Lampung coffee or siger avocados which the Lampung Provincial Forestry Service is currently cultivating.

Sosialisasi Model Economic Production Quantity untuk Mengoptimalkan Hasil Produksi Kopi di KPH Kota Agung Utara Nikken Prima Puspita; Siti Khabibah; Lucia Ratnasari; Fitriani Fitriani; Ahmad Faisol; Akmal Junaidi
Jurnal Pengabdian Kepada Masyarakat (JPKM) TABIKPUN Vol. 4 No. 3 (2023)
Publisher : Faculty of Mathematics and Natural Sciences - Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpkmt.v4i3.131

Provinsi Lampung sudah dikenal sebagai penghasil kopi terbaik di Indonesia. Proses pengolahan mulai dari buah kopi mentah, hingga menghasilkan kopi bubuk membutuhkan biaya yang akan dikeluarkan oleh petani kopi pada setiap siklus tanam dan panen tanaman kopi. Kegiatan Pengabdian Kepada Masyarakat ini dilakukan oleh matematikawan Indonesian Mathematical Society wilayah DIY Jateng dan Sumatera Bagian Selatan. Pada kegiatan ini diadakan sosialisasi yang menawarkan solusi model matematika yaitu Model Economic Production Quantity (EPQ) untuk meminimumkan biaya total produksi biji kopi Lampung. Model ini digunakan untuk mengatur siklus produksi biji kopi dengan memperhitungkan komponen biaya pada persiapan produksi, proses produksi hingga produk sampai pada pembeli. Dengan kegiatan ini, para Petani Kopi Lampung dapat mengatur siklus tanam dan produksi biji kopi yang terbaik.

The Properties of Rough Submodule over Rough Ring Rahmawati, Rara Gusti; Fitriani, Fitriani; Faisol, Ahmad
Jurnal Matematika Integratif Vol 20, No 2: Oktober 2024
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v20.n2.55570.185-196

A pair of non-empty set $U$ and equivalence relation $R$ on $U$, denoted as $(U,R)$, is called approximation space. Furthermore, equivalence classes form the construction of lower approximation and upper approximation. Let $X\subseteq U$, the lower approximation of $X$ denoted by $\underline{X}$ and the upper approximation of $X$ denoted by $\overline{X}$. A pair $Apr(X)=(\underline{X},\overline{X})$ is a rough set if $\underline{X}\neq \overline{X}$. $Apr(X)$ is rough module if $Apr(X)$ satisfies some conditions. In this research, we investigate some characteristics of the rough module and rough submodule over rough ring. Furthermore, we construct examples of the rough module and the rough submodule on approximation space $(U,R)$.

Construction of the Rough Quotient Modules over the Rough Ring by Using Coset Concepts Rahma, Aira; Fitriani, Fitriani; Faisol, Ahmad
Journal of Fundamental Mathematics and Applications (JFMA) Vol 8, No 1 (2025)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v8i1.23564

Given an ordered pair $(U, \theta)$ where $U$ is the set universe and $\theta$ is an equivalence relation on the set $U$ is called an approximation space. The equivalence relation $\theta$ is a relation that is reflexive, symmetric, and transitive. If the set $X \subseteq U$, then we can determine the upper approximation of the set $X$, denoted by $\overline{Apr}(X)$, and the lower approximation of the set $X$, denoted by $\underline{Apr}(X)$. The set $X$ is said to be a rough set on $(U, \theta)$ if and only if $\overline{Apr}(X)-\underline{Apr}(X) \neq \emptyset$. A rough set $X$ is a rough module if it satisfies certain axioms. This paper discusses the construction of a rough quotient module over a rough ring using the coset concept to determine its equivalence classes and discusses the properties of a rough quotient module over a rough ring related to a rough torsion module.

(σ,τ)-derivasi pada Ring Grup Waluyo, Ridho; Faisol, Ahmad; Fitriani, Fitriani
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.31564

Derivations play a fundamental role in ring theory and have been extensively studied and generalized, including to (σ, τ)-derivations, which involve endomorphisms σ and τ. While many studies have focused on (σ, τ)-derivations in prime, semiprime, or commutative rings, explicit constructions and investigations of such derivations in group rings remain limited. This paper constructs several concrete examples of (σ, τ)-derivations on group rings and explores their algebraic properties. The approach provides systematic illustrations and characterizations of derivations in noncommutative ring structures based on groups, thereby contributing to the development of derivation theory in group ring contexts.

Co-Authors . Wamiliana Adelia, Lisa Ahmad Faisol Ahmad Rizki Wiranto Akmal Junaidi Ambarwati, Yuli Ananto Adi Nugraha Andriani, Jessica Attiya Yuliana Azis, Dorrah Desiana Putri Dian Kurniasari Dorrah Azis Dwiyanti, Gusti Ayu Fitri Ayuni Hafifullah, Desfan Indah Emilia Wijayanti Jessica Andriani Larasati Larasati Larasati Larasati Listiana Listiana Lucia Ratnasari M.G. Arma Yoga Pratama Mohamad Ibnu Hambali, Mohamad Ibnu Muammar, Muhammad Fikri Mursyidah, Ditha Lathifatul Muslim Ansori Muslim Ansori Mustofa Usman Nevi Setyaningsih Nikken Prima Puspita Notiragayu Notiragayu Notiragayu Notiragayu, Notiragayu Nurlela Nurlela Pardede, Wesly Agustinus Purba, Tresya Carmela Rahma, Aira Rahmawati, Rara Gusti Rudi Ruswandi Rudi Ruswandi Setyaningsih, Nevi SHAKIR ALI Siti Khabibah Siti Laelatul Chasanah Siti Laelatul Chasanah, Siti Laelatul Sitompul, Desi Elena Tresya Carmela Purba Trisnawati, Evi Utami, Bernadhita Herindri Samodera Waluyo, Ridho Wamiliana ., Wamiliana Wesly Agustinus Pardede Widiarti Widiarti Yesi Santika Yudi Antoni Yunita Septriana Anwar

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