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<![CDATA[SIFAT P-KONVEKS PADA RUANG FUNGSI MUSIELAK-ORLICZ TYPE BOCHNER ]]>
<![CDATA[Yulia Romadiastri]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 7, No 1 (2013): JURNAL EPSILON VOLUME 7 NOMOR 1 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v7i1.88
<![CDATA[In this paper, we described about Musielak-Orlicz function spaces of Bochnertype. It has been obtained that Musielak-Orlicz function space L(;X) of Bochnertype becomes a Banach space. It is described also about P-convexity of Musielak-Orliczfunction space L(;X) of Bochner type. It is proved that the Musielak-Orlicz functionspace L(;X) of Bochner type is P-convex if and only if both spaces L and X areP-convex.]]>
<![CDATA[MULTI OBJECTIVE FUZZY LINEAR PROGRAMMING ]]>
<![CDATA[Muhammad Mefta Eryshady]]>;
<![CDATA[Oni Soesanto]]>;
<![CDATA[Muhammad Ahsar Karim]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 8, No 1 (2014): JURNAL EPSILON VOLUME 8 NOMOR 1 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v8i1.104
<![CDATA[Linear programming is a general model that can be used in problem solving the allocation problem of limited resources optimally. The mathematics model of linear programming consists of two function: objective function and constraint function. Based on the number of objective functions, linear programming is divided into two types: Single Objective Linear Programming and Multi-Objective Linear Programming. Multi Objective Linear Programming which values are defined in the scope of fuzzy is called Multi Objective Fuzzy Linear Programming. To find the optimal solution of the problem, firstly it is divided into a linear program with single objective and solved using the simplex method. This research was carried out by using a literature study. The results of this study indicate that the optimal solution of Multi Objective Fuzzy Linear Programming will be decision variable ()x, that are: 12,,...,nxxx which its values if they are substituted into the constraint function, the results will be consistent with the limits of specified| resources, as well as if they are substituted into the objective function, then it will be obtained the optimal solution of all expected purposes.]]>
<![CDATA[ANALISIS MODEL PREDATOR-PREY TERHADAP EFEK PERPINDAHAN PREDASI PADA SPESIES PREY YANG BERJUMLAH BESAR DENGAN ADANYA PERTAHANAN KELOMPOK ]]>
<![CDATA[Mursyidah Pratiwi]]>;
<![CDATA[Yuni Yulida]]>;
<![CDATA[Faisal Faisal]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 11, No 2 (2017): JURNAL EPSILON VOLUME 11 NOMOR 2 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v11i2.121
<![CDATA[Model interaksi predasi merupakan model predator prey, dengan spesies predator berinteraksi dengan spesies prey dalam peristiwa makan memakan, dengan kondisi satu spesies populasi predator memangsa satu spesies populasi prey di dua habitat yang berbeda. Dua habitat yang berbeda di sini artinya populasi prey memiliki 2 tempat hidup (habitat), misalnya lokasi 1 dan lokasi 2. Prey mampu bermigrasi diantara dua habitat yang berbeda tersebut, karena suatu kondisi seperti perubahan musim sehingga predator diperbolehkan untuk memilih memangsa prey di habitat yang satu ataupun yang lain, tetapi spesies prey di masing-masing habitat memiliki kemampuan pertahanan kelompok. Pertahanan kelompok prey akan lebih efektif jika jumlah populasinya besar, sehingga predator akan tertarik terhadap habitat dimana spesies prey berjumlah sedikit. Berdasarkan keadaan tersebut, artikel ini akan menjelaskan kembali dalam bentuk model matematika, menentukan kestabilan titik ekuilibrium pada model dan menganalisa terjadinya Bifurkasi Hopf. Hasil yang diperoleh pada model efek perpindahan predasi memiliki 2 titik ekuilibrium salah satu diantaranya mengalami Bifurkasi Hopf.Kata kunci: Predator-prey, titik ekuilibrium, kestabilan ,bifurkasi hopf]]>
<![CDATA[GRUP FAKTOR YANG DIBANGUN DARI SUBGRUP NORMAL FUZZY ]]>
<![CDATA[Tarmizi, Mahfuz]]>;
<![CDATA[Abdurrahman, Saman]]>
<![CDATA[ JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON Vol 13, No 1 (2019): JURNAL EPSILON VOLUME 13 NOMOR 1 ]]>
Publisher : <![CDATA[Mathematics Department, Lambung Mangkurat University ]]>
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DOI: 10.20527/epsilon.v13i1.1240
<![CDATA[A Quotient group is a set which contains coset members and satisfies group definition. These cosets are formed by group and its normal subgroup. A set which contains fuzzy coset members is also called a quotient group. These fuzzy cosets are formed by a group and its fuzzy normal subgroup. The purpose of this research is to explain quotient groups induced by fuzzy normal subgroups and isomorphic between them. This research construct sets which contain fuzzy coset members, define an operation between fuzzy cosets and prove these sets under an operation between fuzzy coset satisfy group definition, and prove theorems relating to qoutient groups and homomorphism. The results of this research are  is a qoutient group induced by a fuzzy normal subgroup, where  is a fuzzy normal subgroup of a group ,  is a fuzzy coset, and the binary operation is “†where  for every . An epimorphism  from a group  to a group  and a fuzzy normal subgroup  of  which is constant on  cause quotient goup  and  are isomorphic.]]>
<![CDATA[HUBUNGAN ANTARA TRANSFORMASI LAPLACE DENGAN TRANSFORMASI ELZAKI ]]>
<![CDATA[Arie Wijaya]]>;
<![CDATA[Yuni Yulida]]>;
<![CDATA[Faisal Faisal]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 9, No 1 (2015): JURNAL EPSILON VOLUME 9 NOMOR 1 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v9i1.4
<![CDATA[Laplace transform is a transformation method used to solve differential equations. The Laplace transform was first introduced by Pierre Simon Marquas De Laplace, a French mathematician and a professor in Paris. In addition to the Laplace transform, there is also a transformation of the Elzaki transformation which is a special transformation of the Laplace transform. The Elzaki transformation was introduced by Tarig M. Elzaki to find a solution of ordinary differential equations. Generally these two transformations are used to solve linear differential equations, in the transformation process using integral with a range from 0 to ∞. Unlike Elzaki's transformation, the Laplace transform does not have integral integral operators with ???????? variables. The purpose of this research is to find the relationship between Laplace transformation with Elzaki transformation. The result of this research indicates that Elzaki's transformation of a function ???????? (????????) has a relationship with Laplace transformation ie ???????? (????????) = ????????????????????1???????????? while for Laplace transformation ???? (????????) = ???????????? ????1???????????? with ???????? (????????) and ???? (????????) are the Elzaki and Laplace transforms of ???????? (????????), respectively. Based on the above relationship we can obtain the Elzaki transformation properties corresponding to the Laplace transform.]]>
<![CDATA[POLINOMIAL CHEBYSHEV PADA SYARAT BATAS SERAP GELOMBANG AKUSTIK DUA DIMENSI ]]>
<![CDATA[Mohammad Mahfuzh Shiddiq]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 10, No 1 (2016): JURNAL EPSILON VOLUME 10 NOMOR 1 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v10i1.52
<![CDATA[The problem of boundary conditions in wave equations has many types and methods of completion. One of the problem of boundary conditions is the absorbing boundary condition of the wave equation. This absorbing boundary requirement arises as a result of natural domains on unlimited wave propagation problems and requires large calculations. A numerical solution is inevitable in this type of wave equation. The numerical solution that will be discussed in this paper is to approach the solution of the problem of two-dimensional acoustic wave propagation by using chebyshev polynomial. Several comparison of solution results by using other approaches that have been done are also given to show the effectiveness of which solutions are better.]]>
<![CDATA[GRUP RING ]]>
<![CDATA[Aisjah Juliani Noor]]>;
<![CDATA[Naimah Hijriati]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 4, No 1 (2010): JURNAL EPSILON VOLUME 4 NOMOR 1 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v4i1.46
<![CDATA[The RG ring group is the set formed from group G below multiplication operations of finite elements and commutative rings. R with elements unit. If defined the operation of addition and operation of doubling in RG respectively i I i i i i I i i i I i a g a g (a b) g and i I i g g g j k i I i i i I i i g a b g a b g j k i () for each a g b g RG i I i i i I i i , then RG is a ring. Based on the definition of RG formed from two structures that have certain properties, then the properties of RG depend on R and G forming them, namely: a. Every element in R is commutative with each element in RG and in unit elements R is a unit element in RG b. Every element in G has a doubling inverse in RG c. RG is commutative if and only if G is commutative d. If S subring of R and H subgroups of G, then SG and RH are subring-subring from RG.]]>
<![CDATA[R-SUBGRUP NORMAL FUZZY NEAR-RING ]]>
<![CDATA[Saman Abdurrahman]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 5, No 2 (2011): JURNAL EPSILON VOLUME 5 NOMOR 2 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v5i2.72
<![CDATA[In this paper will be discussed R-subgroup normal fuzzy near-ring, with approach and + 1 , for each .]]>
<![CDATA[DIAGNOSA PENYAKIT DEMAM BERDARAH DENGUE DENGAN PENDEKATAN FUZZY ]]>
<![CDATA[Mariyati Mariyati]]>;
<![CDATA[Muhammad Ahsar Karim]]>;
<![CDATA[Oni Soesanto]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 7, No 2 (2013): JURNAL EPSILON VOLUME 7 NOMOR 2 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v7i2.99
<![CDATA[Dengue Hemorrhagic Fever (DHF) is still one of the major public health problems in Indonesia. This study aims to diagnose dengue fever with fuzzy approach. Fuzzy approach used in this research is fuzzy inference system. The process of this fuzzy inference system consists of three main stages of fuzzification, evaluation of rules and inference, and defuzzification. The inference method used is the Tsukamoto Method. The results stated that the basic rules of fuzzy in diagnosing Dengue Hemorrhagic Fever is formed based on information obtained from the results of consultation with two doctors regarding the diagnosis of DHF and WHO 2009. The basic rules of fuzzy formed that is as many as 483 rules. The results showed that the level of fitting diagnosis of febrile illness bleeding dengue based on the results of fuzzy approach with the diagnosis of the doctors by 77%.]]>
<![CDATA[SIFAT-SIFAT FUNGSI PHI EULER DAN BATAS PRAPETA FUNGSI PHI EULER ]]>
<![CDATA[Rizkun As Syirazi]]>;
<![CDATA[Thresye Thresye]]>;
<![CDATA[Nurul Huda]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 11, No 1 (2017): JURNAL EPSILON VOLUME 11 NOMOR 1 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v11i1.115
<![CDATA[Little Fermat's theory successfully generalized by Euler using Euler's phi function, The phi function Euler φφ (????????) is defined as the number of not more than ???????? and prime with ????????. Gupta (1981) says not all of the original numbers are a range element φφ. The purpose of this study is to determine the properties of the Euler phi function and determine the lower bound and upper limit of the preample of a number under the phi Euler function. This study is a literature study by collecting and studying various references related to the research topic. The result obtained is the relationship of the original number to the map of the number when it is imposed with the phi Euler function and the Euler's function preleta limits, both the lower and upper limits. The limit can be used to specify the set ofprapeta a number under the phi euler function]]>
