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Epsilon: Jurnal Matematika Murni dan Terapan

epsilon
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Published by Universitas Lambung Mangkurat

ISSN : 19784422 EISSN : 26567660 DOI : http://dx.doi.org/10.20527

Core Subject : Science, Engineering,

Decision Sciences, Operations Research & Management Transportation

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

Arjuna Subject : Matematika - Matematika Terapan

Articles 190 Documents

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PENGGUNAAN METODE BRANCH AND BOUND UNTUK MENYELESAIKAN MASALAH PENUGASAN PADA KASUS PENYUSUNAN JARINGAN KOMUNIKASI Fitriadi Fitriadi; Dewi Sri Susanti; Nur Salam
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 4, No 1 (2010): JURNAL EPSILON VOLUME 4 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

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.

Analisis Kestabilan Global Model Epidemik SIRS menggunakan Fungsi Lyapunov Yuni Yulida; Faisal Faisal; Muhammad Ahsar Karim
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 5, No 2 (2011): JURNAL EPSILON VOLUME 5 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

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 Saman Abdurrahman
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 8, No 1 (2014): JURNAL EPSILON VOLUME 8 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

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) Ahmad Jufri; Akhmad Yusuf; Thresye Thresye
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 11, No 1 (2017): JURNAL EPSILON VOLUME 11 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

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

ASURANSI JIWA BERJANGKA LAST SURIVOR Yogi Apriyanto; Yuni Yulida; Aprida Siska Lestia
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 12, No 2 (2018): JURNAL EPSILON VOLUME 12 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Dalam asuransi jiwa untuk mendapatkan uang pertanggungan seperti yang dijanjikan dalam polis asuransi, tertanggung haruslah membayar premi kepada penanggung dan penanggung akan memberikan santunan kepada ahli waris jika tertanggung meninggal dunia. Pembayaran premi dapat dilakukan secara sekaligus dalam satu kali pembayaran di awal perjanjian (premi tunggal) atau secara berkala (premi tahunan). Asuransi jiwa menyediakan perlindungan untuk satu orang (single life) maupun dua orang atau lebih (multiple life). Pada asuransi multiple life terdapat dua istilah berdasarkan status kematian dari kumpulan tertanggung yaitu joint life dan last survivor. Asuransi last survivor yaitu asuransi jiwa dimana uang pertanggungan dibayarkan pada ahli waris apabila orang terakhir dari sekelompok tertanggung telah meninggal dunia. Jika tertanggung mengikuti asuransi selama n tahun dan semua tertanggung meninggal dunia dalam jangka waktu tersebut untuk menerima uang pertanggungan, maka jenis asuransi yang digunakan adalah asuransi jiwa berjangka last survivor. Tujuan dari penelitian ini adalah untuk membentuk rumusan premi tahunan pada asuransi jiwa berjangka last survivor untuk tiga tertanggung. Penelitian ini bersifat studi literatur. Hasil dari penelitian ini terbentuknya suatu rumusan premi tahunan asuransi jiwa berjangka last survivor untuk dua orang tertanggung dan untuk tiga orang tertanggung.Kata kunci : Asuransi Jiwa Berjangka, Premi Tahunan, Last Survivor.

ANTI SUBGRUP α-FUZZY Fiqriani Noor; Saman Abdurrahman; Naimah Hijriati
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 14, No 1 (2020): JURNAL EPSILON VOLUME 14 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

The concept of fuzzy subgroups is a combination of the group structure with the fuzzy set, which was first introduced by Rosenfeld (1971). This concept became the basic concept in other the fuzzy algebra fields such as fuzzy normal subgroups, anti fuzzy subgroups and anti fuzzy normal subgroups. The development in the area of fuzzy algebra is characterized by the continual emergence of new concepts, one of which is the α-anti fuzzy subgroup concept. The idea of α-anti fuzzy subgroups is a combination between the α-anti fuzzy subset and anti fuzzy subgroups. The α-anti subset fuzzy which is an anti fuzzy subgroup is called as α-anti fuzzy subgroup. The purpose of this study is to prove that the α-anti fuzzy subset is an anti fuzzy subgroup, examine the relationship between α-anti fuzzy subgroups with anti fuzzy subgroups and α-fuzzy normal subgroups with anti fuzzy subgroups. The results of this study are, if A is an anti fuzzy subgroup (an anti fuzzy normal subgroup), then an α-anti subset fuzzy of A is an anti fuzzy subgroup (an anti fuzzy normal subgroup). However, this does not apply otherwise. Furthermore, this study also provides sufficient and necessary conditions for an α-anti fuzzy subset of any group to be an α-anti fuzzy subgroup and the formation of a group of factors that are built from an α-anti fuzzy normal subgroup.Keywords : Anti Fuzzy Subgroup, Anti Fuzzy Normal Subgroup, α-Anti Fuzzy Subgroup and α-Anti Fuzzy Normal Subgroup.

OPERASI DAN ISOMORFISMA PADA GRAF FUZZY M-STRONG Adelia Niken Puspitasari; Naimah Hijriati
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 10, No 1 (2016): JURNAL EPSILON VOLUME 10 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

The fuzzy graph M-strong part of the fuzzy graph whose degree of membership is equal to the minimum of the two-point membership degree that links it. The aim of this research is to prove the close nature of M-strong fuzzy graph on join operation, cartesian product, composition and its complement and also to prove the isomorphism of M-strong fuzzy graph. The result of this research is that the join of two fuzzy graphs is M-strong fuzzy graph if and only if both are M-strong fuzzy graphs. Cartesian product and the composition of two M-strong fuzzy graphs will produce an M-strong fuzzy graph. If the complement of the fuzzy graph complement is the same as the fuzzy graph itself, then the fuzzy graph is the M-strong fuzzy graph. If there is an ???????? and ???????? 'isomorphic fuzzy graph then ???????? is an M-fuzzy graph if and only if ????????' is also an M-strong fuzzy graph. If fuzzy graph ???????? isomorphic co-weak with M-strong fuzzy graph ???????? 'then ???????? is also an M-strong fuzzy graph and if ???????? isomorphic with ????????' then ???????? is connected if and only if ???????? 'is also connected.

PEMETAAN LINIER KONTINU PADA RUANG BERNORMA KABUR Muhammad Ahsar Karim; Yuni Yulida
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 3, No 2 (2009): JURNAL EPSILON VOLUME 3 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

In metric space we have known about linear mapping and continuousmapping. Both of the mappings have the important properties in normed space. Inthis paper, we study the properties on fuzzy normed space. We start our resultswith first to show that the fuzzy normed space is fuzzy metric space. Then, wedefine the fuzzy continuous mapping and the fuzzy bounded set on fuzzy normedspace. Moreover, we construct the generalisation of properties of relationbetween fuzzy bounded mapping and fuzzy continuous mapping on fuzzy normedspace.

MODEL EPIDEMIK DUA PENYAKIT DALAM SATU POPULASI Yuni Yulida; Faisal Faisal; Dewi Anggraini
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 5, No 1 (2011): JURNAL EPSILON VOLUME 5 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v5i1.68

This paper considers a epidemic model for a spread of two diseases in a population. Fromthe model we study existence and stability of two equilibrium states: an infectious free equilibriumand an endemic equilibrium.

IDEAL DIFERENSIAL DAN HOMOMORFISMA DIFERENSIAL Na'imah Hijriati; Saman Abdurrahman; Thresye Thresye
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 6, No 2 (2012): JURNAL EPSILON VOLUME 6 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Ideal differential is the ideal of differential ring that satisfies if for each a  I, and every   ,  (a)  I, whereas the differential homomorphism is a commutative homomorphism of rings against each derivation. This paper is presented the properties of differential ideal and differential homomorphism.

Page 4 of 19 | Total Record : 190

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Yuni Yulida

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+6281348054202

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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

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Home Page

OAI Link

Editorial Team

Contact

Reviewer

Google Scholar

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

Abstract

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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