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Contact Name
Yuni Yulida
Contact Email
y_yulida@ulm.ac.id
Phone
+6281348054202
Journal Mail Official
epsilon@ulm.ac.id
Editorial Address
Mathematics Department, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat University. Jl. A. Yani KM.35.8 Banjarbaru, Kalimantan Selatan
Location
Kota banjarmasin,
Kalimantan selatan
INDONESIA
Jurnal Epsilon
ISSN : 19784422     EISSN : 26567660     DOI : http://dx.doi.org/10.20527
Jurnal Matematika Murni dan Terapan Epsilon is a mathematics journal which is devoted to research articles from all fields of pure and applied mathematics including 1. Mathematical Analysis 2. Applied Mathematics 3. Algebra 4. Statistics 5. Computational Mathematics
Articles 100 Documents
Analisis Kestabilan Global Model Epidemik SIRS menggunakan Fungsi Lyapunov Yulida, Yuni; Faisal, Faisal; Karim, Muhammad Ahsar
JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON Vol 5, No 2 (2011): JURNAL EPSILON VOLUME 5 NOMOR 2
Publisher : Mathematics Department, Lambung Mangkurat University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v5i2.73

Abstract

This paper presents the SIRS epidemic model. Furthermore, the model is investigated the existence of the equilibrium point, and the global stability of the equilibrium point using the function Lyapunov.
JUMLAH ANTI IDEAL FUZZY DARI NEAR-RING Abdurrahman, Saman
JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON Vol 8, No 1 (2014): JURNAL EPSILON VOLUME 8 NOMOR 1
Publisher : Mathematics Department, Lambung Mangkurat University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v8i1.100

Abstract

In this paper, the concept of addition of fuzzy anti ideal from the near-ring and prove the properties of the sum. The result of this study is the ideal anti-fuzzy addition of the near-ring, is the ideal anti-fuzzy of the near-ring.
OPTIMASI MASALAH TRANSPORTASI FUZZY MENGGUNAKAN METODE FUZZY MODIFIED DISTRIBUTION UNTUK MEMPREDIKSI BIAYA ANGKUTAN TOTAL DAN ALOKASI BARANG (PAKAN TERNAK) (Studi Kasus : CV. Mentari Nusantara Feedmill) Jufri, Ahmad; Yusuf, Akhmad; Thresye, Thresye
JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON Vol 11, No 1 (2017): JURNAL EPSILON VOLUME 11 NOMOR 1
Publisher : Mathematics Department, Lambung Mangkurat University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v11i1.116

Abstract

Parameters in transportation problems include transport of cost, supply and demand not always ascertainable for sure and alterable over time. Because, uncertainty mentioned so can use fuzzy numbers. The use of fuzzy numbers on transport of costs, supply and demand resulted in the formation of fuzzy transportation problem. By using fuzzy transportation problem the total transport cost and commodity allocation can be predicted. Purpose of this study is to predict the total transport cost and commodity allocation. This study is a case study which collects data parameters from CV. Mentari Nusantara Feedmill. From the data research , obtained the initial solution total transport cost in February use Fuzzy North West Corner amounted Rp.33.136.709. And to determine the optimality of the initial solutions obtained use the Fuzzy Modied Distribution to obtain the total transport cost prediction in February amounted Rp.31.965.025. And also obtained the prediction allocation of commodity in February for Depo Cash Martapura amounted 6.192 kg, Depo Nalem Sembiring amounted 51.400 kg, Depo Siti Kamilah amounted 18.792 kg and Depo Tjou Tjie amounted 33.200 kg
BIFURKASI MUNDUR PADA MODEL EPIDEMI SEIV DENGAN LAJU INSIDENSI NONLINEAR Gunawan, Gunawan
JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON Vol 10, No 1 (2016): JURNAL EPSILON VOLUME 10 NOMOR 1
Publisher : Mathematics Department, Lambung Mangkurat University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v10i1.51

Abstract

In this research, an SEIV epidemic model with vaccination, horizontal and vertical transmission, and nonlinear incidence rate is formulated. Local stability and bifurcation analysis in this model is presented in terms of the basic reproduction number R0. This model exhibits a backward bifurcation possibility, that is, the appearance of two endemic equilibria although the basic reproduction number R0 is less than the threshold 1.
PENGGUNAAN METODE BRANCH AND BOUND UNTUK MENYELESAIKAN MASALAH PENUGASAN PADA KASUS PENYUSUNAN JARINGAN KOMUNIKASI Fitriadi, Fitriadi; Susanti, Dewi Sri; Salam, Nur
JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON Vol 4, No 1 (2010): JURNAL EPSILON VOLUME 4 NOMOR 1
Publisher : Mathematics Department, Lambung Mangkurat University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v4i1.47

Abstract

Assignment problem is how to match exactly only one agent for one task, the aim is to getmaximum advantage or minimum cost. One of assignment problem case is arrangingcommunication network, that how to make order formation of sending Short Massage Service(SMS) from someone to another one in a group. Each one in that group has to send one SMS to theother member. The last stage in this process is the SMS was sent by the first sender will comebackto the first sender again as indication that all of member of a group was received SMS.Arranging communication network is done by using branch and bound method by distributingthe big scale problem to the small until it can be solved. Distributing is done recursive until formedtree structure. The objective of this research is how to find optimal solution for solving assignmentproblem in arranging communication network by using branch and bound method.This research is done with literature study method that is by collecting and studying fromsupporter reference related to assignment problem and branch and bound method. Procedure inthis research that is forming cost matrix, reducing rows and columns, counting up all rows andcolumns reducer as bound of 0 node. 0 node have branch that called first level, node’s bound offirst level finding by using formula Cs = Cr + Ci,j + r. optimum bound of first level make as E-nodethat will branched and resulting second level, etc. The result of research is finding one of communication network that below: Simpati  AsHalo Matrix Mentari starOne Im3Flexi Fren XL Simpati with minimum costRp 1.298.
TEOREMA TITIK TETAP PADA RUANG NORM-𝟐 BERDIMENSI HINGGA Burhan, Moh Januar I
JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON Vol 9, No 1 (2015): JURNAL EPSILON VOLUME 9 NOMOR 1
Publisher : Mathematics Department, Lambung Mangkurat University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v9i1.3

Abstract

In this paper, the fixed point theorem will be discussed in the space norm-2 (𝑋𝑋, ‖ ∙, ∙ ‖) dimension until which is an improvement of the fixed point theorem discussed by Gunawan in [2]. By defining the norm ‖ ∙ ‖1 * derived from norm-2 ‖ ∙, ∙ ‖, there is a convergence of sequences in space (𝑋𝑋, ‖ ∙ ‖1 *) and space (𝑋𝑋, ‖ ∙, ∙ ‖). These results will be used to prove the Fixed Point Theorem.Kata kunci : norm - 2, norm, teorema titik tetap.
PENYUSUNAN MENU MAKANAN UNTUK PENDERITA DIABETES MELLITUS TIPE 2 TANPA KOMPLIKASI MENGGUNAKAN ALGORITMA GENETIKA Nafata, Bayu Basdya; Yusuf, Akhmad; Muliadi, Muliadi
JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON Vol 13, No 1 (2019): JURNAL EPSILON VOLUME 13 NOMOR 1
Publisher : Mathematics Department, Lambung Mangkurat University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v13i1.1244

Abstract

Diabetes Mellitus (DM) adalah suatu penyakit atau gangguan metabolisme kronis dengan multi etiologi yang ditandai dengan tingginya kadar gula darah (hiperglikemik) disertai dengan gangguan metabolisme karbohidrat, lipid dan protein sebagai akibat insufisiensi fungsi insulin. Penderita diabetes melitus sebenarnya dapat di cegah agar tidak lebih parah atau dapat di jaga berat badan ideal penderita diabetes ditambah dengan olahraga teratur. Pola makan yang baik merupakan kunci keberhasilan untuk mengatasi kelebihan kadar gula darah bagi penyandang diabetes, mengontrol pola hidup yang sesuai dapat mencegah atau mempertahankan kondisi penderita diabetes agar tidak lebih parah dari kondisi sebelumnya, salah satu caranya yaitu dengan mengatur pola makan yang sesuai dengan hasil diagnosis dokter atau yang disarankan oleh ahli gizi. Penelitian ini dilakukan untuk mengetahui proses penyusunan menu makanan menggunakan algoritma genetika, dan mengetahui hasil menu makanan yang sesuai untuk penderita diabetes menggunakan algoritma genetika. Algoritma genetika merupakan salah satu algoritma yang dapat melakukan penyusunan makanan berbasis Artificial Intellegent. Algoritma ini menitik beratkan pada pembangkitan populasi awal,  proses crossover, proses mutasi, dan proses seleksi. Sehingga pada proses akhir seleksi terdapat nilai fitness atau nilai terbaik dalam sebuah data. Evaluasi hasil dari algoritma genetika pada penelitian kali ini adalah untuk mendapatkan nilai fitness terbaik pada setiap menu makanan. Dari hasil diperoleh bahwa nilai fitness berbanding terbalik dengan total harga makanan yang dihasilkan. Apabila nilai fitness dari perhitungan tinggi, maka total harga makan akan diperoleh harga yang paling minimal dan sebaliknya sesuai dengan kandungan kebutuhan kalori penderita diabetes mellitus. Proses algoritma genetika dalam menyusun menu makanan dengan hasil komposisi makanan terbaik menggunakan parameter probabilitas crossover 0.9 dan probabilitas mutase 0.1 dengan jumlah iterasi maksimal sebanyak 30 kali. Menghasilkan nilai fitness 0.246928066 dengan komposisi nasi, tahu dan telur sebagai penyusun makanan yang dominan agar tercapai harga minimum tetapi mencukupi kebutuhan kalori harian penderita.Kata Kunci: Menu Makanan, Diabetes Mellitus,  Algoritma Genetika
TEOREMA TITIK TETAP UNTUK PEMETAAN KONTRAKSI-F YANG DIPERUMUM PADA RUANG SEPERTI-METRIK-b Lidiyani, Yunita; Shiddiq, Muhammad Mahfuzh; Yusuf, Akhmad
JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON Vol 11, No 2 (2017): JURNAL EPSILON VOLUME 11 NOMOR 2
Publisher : Mathematics Department, Lambung Mangkurat University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v11i2.122

Abstract

𝑋yang ditulis dengan (𝑋,𝑑). Beberapa peneliti memperkenalkan notasi baru dari metric yaitu ruang seperti-metrik, lebih jauh lagi dikembangkan perumuman baru dari ruang seperti-metrik dikenalkan yang selanjutnya disebut ruang seperti-metrik-b dan membuktikan teorema titik tetap pada ruang seperti-metrik-b. Pada ruang seperti-metrik-b, kontraksi-F dapat diperumum dan dibuktikan teorema titik tetap pada ruang seperti-metrik-b tersebut. Tujuan dari penelitian ini adalah membuktikan teorema titik tetap untuk pemetaan kontraksi-F yang diperumum pada ruang seperti-metrik-b.Penelitian ini bersifat studi literatur dengan mengumpulkan materi yang berkaitan dengan topik penelitian. Berdasarkan hasil pembahasan, diperoleh bahwa pemetaan 𝑇yang merupakan kontraksi-F yang diperumum mempunyai titik tetap. Titik tetap dari 𝑇 dapat ditunjukkan dengan memenuhi syarat bahwa barisan Cauchykonvergen ke titik𝑥 𝜖 𝑋, 𝑥adalah titik tetap dari 𝑇 dan pemetaan tersebut merupakan pemetaan titik tetap terhadap dirinya sendiri pada ruang seperti-metrik-b.Kata Kunci : Ruang seperti-metrik-b, pemetaan kontraksi-F yang diperumum, titiktetap
PENENTUAN LOKASI TERBAIK LINGKUNGAN PERUMAHAN DI PERKOTAAN DENGAN PENDEKATAN FUZZY Sulistiani, Siti; Soesanto, Oni; Shiddiq, Mohammad Mahfuzh
JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON Vol 8, No 1 (2014): JURNAL EPSILON VOLUME 8 NOMOR 1
Publisher : Mathematics Department, Lambung Mangkurat University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v8i1.105

Abstract

Fuzzy logic provides a solution to the problem of uncertainty, because in real life often encountered things that are uncertain or vague and sometimes difficult to resolve firmly. Fuzzy logic is able to overcome the uncertainty in real-life cases. One is the problem of determining the right location to create a particular facility such as a residential neighborhood, where there are several factors to consider and sometimes difficult to decide firmly. To make a multi-criteria decision, there are several methods that can be used. But in this research that will be used is one method of Fuzzy Analytical Hierarchy Process (FAHP) is Method Extent Analysis Chang (1996). The purpose of this research is to determine optimal location of an urban housing environment by using Extent Analysis Chang Method. The decision-making process is carried out with the steps contained in Ext's Analysis (1996) method sequentially starting from criteria, sub criteria and alternatives. The final decision is made by ranking the normalized vector weighting of all criteria and sub criteria. Location A was chosen as the optimal location, because it has the highest ranking weighting that is 0.330.
KRITERIA KEKONVERGENAN CAUCHY PADA RUANG METRIK KABUR INTUITIONISTIC Karim, Muhammad Ahsar; Faisal, Faisal; Yulida, Yuni
JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON Vol 6, No 1 (2012): JURNAL EPSILON VOLUME 6 NOMOR 1
Publisher : Mathematics Department, Lambung Mangkurat University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v6i1.78

Abstract

In this paper, we construct the Cauchy-convergence criterion in intuitionistic fuzzy metricspace. We start our aim by given the definition of concepts convergence sequence, Cauchysequence, and complete on intuitionistic fuzzy metric space.

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