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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 Limits: Journal of Mathematics and Its Applications J Statistika: Jurnal Ilmiah Teori dan Aplikasi Statistika Jambura Journal of Mathematics Jurnal Matematika UNAND Jurnal Pengabdian Kepada Masyarakat (JPKM) Tabikpun Jurnal Siger Matematika Journal of Fundamental Mathematics and Applications (JFMA) Jurnal Matematika Integratif

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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The comparison of the effectiveness of the lowest supply lowest cost (LSLC) algorithm and the exponential approach algorithm in transportation problems Tresya Carmela Purba; Notiragayu Notiragayu; Fitriani Fitriani; Dorrah Azis
Desimal: Jurnal Matematika Vol 4, No 2 (2021): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Transportation problems are one of the particular forms that often appear in linear programs, one of which is the distribution of goods. A transportation method is needed to determine the optimal result, namely, the minimum cost from source to destination with all demand and supply fulfilled. There are several methods, one of which is the Lowest Supply Lowest Cost Method (LSLC) and the Exponential Approach Method (PE). Both methods are made in a MATLAB program, generating a script that calculates the algorithm's time complexity. Using the function notation, the Big-O Algorithm complexity of the Lowest Supply Lowest Cost method is more efficient than the Exponential Approach Method algorithm. At the same time, the optimal result for the minimum cost between the two methods is obtained by using the Exponential Approach Method.

MATRIKS BERSIH KUAT ATAS RING DERET PANGKAT TERGENERALISASI MIRING Fitriani; AHMAD FAISOL
Jurnal Matematika UNAND Vol 10, No 3 (2021)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.10.3.385-393.2021

Salah satu konsep dalam teori aljabar yang banyak digunakan adalah matriks atas lapangan (field). Dalam perkembangannya, konsep matriks atas lapangan diperumum menjadi matriks atas ring. Ring merupakan suatu sistem matematika yang terdiri dari suatu himpunan tak kosong yang dilengkapi dua operasi biner yang memenuhi beberapa aksioma. Ring yang banyak digunakan dalam kajian ilmu matematika terapan adalah Ring Polinomial R[X] dan Ring Deret Pangkat R[[X]]. Salah satu sifat matriks atas ring yang telah dikaji oleh para peneliti adalah syarat cukup matriks atas ring R[[X]] merupakan matriks bersih kuat. Pada perkembangannya, struktur R[[X]] digeneralisasi menjadi ring semigrup R[S], Ring Deret Pangkat Tergeneralisasi (RDPT) [[RS,≤]], dan Ring Deret Pangkat Tergeneralisasi Miring (RDPTM) R[[S, ≤, ω]]. Berdasarkan fakta bahwa struktur R[[S, ≤, ω]] lebih umum dari R[[X]], pada penelitian ini diberikan syarat cukup matriks atas RDPTM R[[S, ≤, ω]] merupakan matriks bersih kuat. Hal ini dapat dilakukan dengan cara menambahkan beberapa syarat pada struktur ring R, monoid terurut tegas (S, ≤), dan homomorfisma monoid ω sehingga matriks atas R[[S, ≤, ω]] merupakan matriks bersih kuat. Sebagai akibat langsung, hasil penelitian ini lebih umum dari syarat cukup matriks atas R[[X]] merupakan matriks bersih kuat yang telah dikaji sebelumnya.Kata Kunci: Matriks atas ring, matriks bersih kuat, ring deret pangkat tergeneralisasi miring

The Implementation of Rough Set on A Group Structure Ananto Adi Nugraha; Fitriani Fitriani; Muslim Ansori; Ahmad Faisol
Jurnal Matematika MANTIK Vol. 8 No. 1 (2022): April - June
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2022.8.1.45-52

Let be a non-empty set and an equivalence relation on . Then, is called an approximation space. The equivalence relation on forms disjoint equivalence classes. If , then we can form a lower approximation and an upper approximation of . If X⊆U, then we can form a lower approximation and an upper approximation of X. In this research, rough group and rough subgroups are constructed in the approximation space for commutative and non-commutative binary operations.

Perbandingan Metode Bootstrap, Jacknife Jiang Dan Area Specific Jacknife Pada Pendugaan Mean Square Error Model Beta-Bernoulli Yesi Santika; Widiarti Widiarti; Fitriani Fitriani; Mustofa Usman
Jurnal Siger Matematika Vol 2, No 1 (2021): Jurnal Siger Matematika
Publisher : FMIPA Universitas Lampung

Small area estimation is defined as a statistical technique for estimating the parameters of a subpopulation with a small sample size. One method of estimating small area parameters is the Empirical Bayes (EB) method. The accuracy of the Empirical Bayes (EB) estimator can be measured by evaluating the Mean Squared Error (MSE). In this study, 3 methods to determine MSE in the EB estimator of the Beta-Bernoulli model will be compared, namely the Bootstrap, Jackknife Jiang and Area-specific Jackknife methods. The study is carried out theoretically and empirically through simulation with R-studio software version 1.2.5033. The simulation results in a number of areas and pairs of prior distribution parameter values, namely Beta, show the effect of sample size and parameter value pairs on the Mean Square Error (MSE) value. The larger the number of areas and the smaller the initial ????, the smaller the MSE value. The area-specific Jackknife method produces the smallest MSE in the number of areas 100 and the Beta parameter value 0.1.

Kajian Graf Isomorfik Dan Penerapannya Dalam Ilmu Kimia M.G. Arma Yoga Pratama; Notiragayu Notiragayu; Yuli Ambarwati; Fitriani Fitriani
Jurnal Siger Matematika Vol 3, No 1 (2022): Volume 3 No 1
Publisher : FMIPA Universitas Lampung

Dua graf dan , jika suatu fungsi merupakan fungsi satu-satu sedemikian sehingga adalah sisi dari jika dan hanya jika adalah sisi dari , maka disebut suatu isomorfisma dari dan . Apabila terdapat suatu isomorfisma antara dan , maka dan disebut dua graf isomorfik. Tujuan dari penelitian ini adalah untuk memperoleh hasil graf yang saling isomorfik dari senyawa alkana dengan rantai yang dimulai dari sampai . Isomer merupakan senyawa yang memiliki rumus molekul sama tetapi berbeda strukturnya. Aplikasi perangkat lunak yang digunakan adalah MATLAB R2018a sehingga diperoleh hasil bahwa pada senyawa tidak terdapat senyawa yang saling isomorfik, sedangkan pada senyawa dan terdapat sepasang graf yang saling isomorfik dari yaitu 3-etil-2-metil Pentana dan 3-isopropil Pentana, kemudian pada senyawa terdapat dua pasang dari 4 buah graf yaitu 3-etil-2-metil Heksana dengan 3-isopropil Heksana dan 3-etil-2,3-dimetil Pentana dengan 3-isopropil-3-metil Pentana.

IDEMPOTENT MATRIX OVER SKEW GENERALIZED POWER SERIES RINGS Ahmad Faisol; Fitriani Fitriani
Journal of Fundamental Mathematics and Applications (JFMA) Vol 5, No 1 (2022)
Publisher : Diponegoro University

Let $R[[S,\leq,\omega]]$ be a skew generalized power series ring, with $R$ is a ring with an identity element, $(S,\leq)$ a strictly ordered monoid, and $\omega:S\rightarrow End(R)$ a monoid homomorphism. We define the set of all matrices over $R[[S,\leq,\omega]]$, denoted by $M_{n}(R[[S,\leq,\omega]])$. With the addition and multiplication matrix operations, $M_{n}(R[[S,\leq,\omega]])$ becomes a ring. In this paper, we determine the sufficient conditions for $R$, $(S,\leq)$, and $\omega$, so the element of $M_{n}(R[[S,\leq,\omega]])$ is an idempotent matrix.

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.

Confidence interval estimation of gamma distribution lifetime data using score and bootstrap methods Larasati Larasati; Rudi Ruswandi; Fitriani Fitriani
Desimal: Jurnal Matematika Vol 4, No 1 (2021): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Confidence interval estimation of parameters determines the value interval, which is calculated based on statistical measurements and has specific estimates probability that contains the actual parameters. A method is needed to estimate the parameters' confidence interval, and the methods used are the Score method and the Bootstrap method. This study aims to estimate parameters by using the maximum likelihood estimation method and analyze the reliability of the aircraft engine cooling system's lifetime that follows the Gamma Distribution, and estimate the confidence interval of the parameters.

MATRIKS ATAS RING DERET PANGKAT TERGENERALISASI MIRING Siti Rugayah; Ahmad Faisol; Fitriani Fitriani
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 1 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Let R be a ring with unit elements, strictly ordered monoids, and a monoid homomorphism. Formed , which is a set of all functions from S to R with are Artin and narrow. With the operation of the sum of functions and convolution multiplication, is a ring, from now on referred to as the Skew Generalized Power Series Ring (SGPSR). In this paper, the set of all matrices over SGPSR will be constructed. Furthermore, it will be shown that this set is a ring with the addition and multiplication matrix operations. Moreover, we will construct the ideal of ring matrix over SGPSR and investigate this ideal's properties.

PETRI NET MODEL IN THE PROCESS OF SUBMISSION FOR CUSTOMER CREDIT OF BPR LAMBANG GANDA SERANG Megawati Octavia; Fitriani Fitriani; Ahmad Faisol
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 3 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

The credit application process is one of a service that involves queues. This study aims to determine the design of the credit process application service system at the Lambang Ganda Serang Credit Bank using the Petri Net model. This study has 12 places, eight transitions, six operators, and 22 arcs of Petri Net model from credit application service system using Woped 3.2.0 version software

Co-Authors . Wamiliana Abdiel Bellamy Thomas Ahmad Faisol Ahmad Rizki Wiranto Akmal Junaidi Ambarwati, Yuli Ananto Adi Nugraha Attiya Yuliana Desfan Hafifullah Desiana Putri Dian Kurniasari Dorrah Azis Fakhry Asad Agusfrianto Fitri Ayuni Gusti Ayu Dwiyanti Jessica Andriani Larasati Larasati Listiana Listiana Lucia Ratnasari M.G. Arma Yoga Pratama Megawati Octavia Mohamad Ibnu Hambali, Mohamad Ibnu Muslim Ansori Muslim Ansori Mustofa Usman Nevi Setyaningsih Nikken Prima Puspita Nikken Prima Puspita Notiragayu Notiragayu Notiragayu Nurlela Nurlela Rudi Ruswandi Siti Khabibah Siti Laelatul Chasanah Siti Rugayah Tresya Carmela Purba Wamiliana ., Wamiliana Wesly Agustinus Pardede Widiarti Widiarti Yesi Santika Yudi Antoni Yudi Mahatma

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