Journal of Fundamental Mathematics and Applications
Journal of Fundamental Mathematics and Applications (JFMA) is an Indonesian journal published by the Department of Mathematics, Diponegoro University, Semarang, Indonesia. JFMA has been published regularly in 2 scheduled times (June and November) every year. JFMA is established to highlight the latest update of mathematical researches in both theoretical and applied works. The scope in JFMA is pure mathematics and applied mathematics. All accepted papers will be published both in print and online versions. The online version can be accessed via the DOI link of each article. The print version can be ordered to the journal administrator. JFMA welcomes both theoretical and applied research work to be published in the journal. The topics include but are not limited to: (1) Mathematical analysis and geometry (2) Algebra and combinatorics (3) Discrete Mathematics (4) Mathematical physics (5) Statistics (6) Numerical method and computation (7) Operation research and optimization (8) Mathematical modeling (9) Mathematical Logic in Computer Science, Informatics, etc.
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105 Documents
<![CDATA[MODUL NEUTROSOFIK KUAT ]]>
<![CDATA[Suryoto Suryoto]]>;
<![CDATA[Harjito Harjito]]>;
<![CDATA[Titi Udjiani]]>
<![CDATA[ Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 2 (2018) ]]>
Publisher : <![CDATA[Diponegoro University ]]>
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DOI: 10.14710/jfma.v1i2.15
<![CDATA[Given any neutrosophic ring with unity and a commutatively additive neutrosophic group. Then we can formed a neutrosophic algebraic structure is called a strong neutrosphic module. From the concept of weak neutrosophic module we extend to the concept of strong neutrosophic module. In this paper, also elementary properties of strong neutrosophic module are given.]]>
<![CDATA[MENGKONSTRUKSI DIRECT PRODUCT NEAR RING DAN SMARANDACHE NEAR RING ]]>
<![CDATA[Rizky Muhammad Bagas]]>;
<![CDATA[Titi Udjiani SRRM]]>;
<![CDATA[Harjito Harjito]]>
<![CDATA[ Journal of Fundamental Mathematics and Applications (JFMA) Vol 2, No 2 (2019) ]]>
Publisher : <![CDATA[Diponegoro University ]]>
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DOI: 10.14710/jfma.v2i2.35
<![CDATA[If we have two arbitrary non empty sets ,then their cartesian product can be constructed. Cartesian products of two sets can be generalized into number of sets. It has been found that if the algebraic structure of groups and rings are seen as any set, then the phenomenon of cartesian products of sets can be extended to groups and rings. Direct products of groups and rings can be obtained by adding binary operations to the cartesian product. This paper answers the question of whether the direct product phenomenon of groups and rings can also be extended at the near ring and Smarandache near ring ?. The method in this paper is by following the method in groups and rings, namely by seen that near ring and Smarandache near ring as a set and then build their cartesian products. Next, the binary operations is adding to the cartesian products that have been obtained to build the direct product definitions of near ring and near ring Smarandache.]]>
<![CDATA[IMPLEMENTASI METODE BAYES PADA PENGHITUNGAN PREMI ASURANSI KENDARAAN BERMOTOR ]]>
<![CDATA[Rika Fitriani]]>;
<![CDATA[Gunardi Gunardi]]>
<![CDATA[ Journal of Fundamental Mathematics and Applications (JFMA) Vol 3, No 2 (2020) ]]>
Publisher : <![CDATA[Diponegoro University ]]>
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DOI: 10.14710/jfma.v3i2.8257
<![CDATA[One type of general insurance is motor vehicle insurance. Premium pricing of general insurance can be calculated by some methods. In this study, Bayes method will be used. The distribution of claim frequency is Poisson distribution and the distribution of claim severity is Exponential distribution. The premium is calculated by multiplying the expectation of claim frequency and the expectation of claim severity. Based on the historical data analysis using the Bayes method, the highest pure premium of motor vehicle insurance in Indonesia is Hino brand and the lowest pure premium is Honda brand. The result of this premium pricing can be used as a reference for the insurance companies to manage their motor vehicle insurance reserves.]]>
<![CDATA[BILANGAN TERHUBUNG PELANGI PADA GRAF SALJU (Sn_m) ]]>
<![CDATA[Cindy Aisa Putri Noor]]>;
<![CDATA[Lailany Yahya]]>;
<![CDATA[Salmun K Nasib]]>;
<![CDATA[Nisky Imansyah Yahya]]>
<![CDATA[ Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 1 (2021) ]]>
Publisher : <![CDATA[Diponegoro University ]]>
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DOI: 10.14710/jfma.v4i1.9035
<![CDATA[Suatu graf dikatakan terhubung pelangi jika terdapat lintasan antara dua titik yang setiap sisi-sisinya memiliki warna berbeda. Misalkan terdapat suatu graf G tak trivial dengan definisi warna c:E(G)->{1,2,3,...}, maka bilangan terhubung pelangi dari graf G yaitu minimum k dari pewarnaan-k pelangi yang digunakan untuk mewarnai graf G dan dinotasikan dengan rc(G). Tujuan dari penelitian ini yaitu untuk menentukan bilangan terhubung pelangi pada graf salju (Sn_m). Metode yang digunakan pada penelitian ini yaitu metode studi literatur dengan prosedur sebagai berikut; menggambar graf salju, mencari pola bilangan terhubung pelangi, dan membuktikan teorema bilangan terhubung pelangi pada graf salju (Sn_m). Sehingga diperoleh rc(Sn_m)=m+1 untuk 3<=m<=7 dan m={9,10} dan rc(Sn_m)=m untuk m=8 dan m>=11.]]>
<![CDATA[ON CYCLIC DECOMPOSITION OF Z-MODULE M_{m×r}(Z_n) ]]>
<![CDATA[Ni Wayan Switrayni]]>;
<![CDATA[I Gede Adhitya Wisnu Wardhana]]>;
<![CDATA[Qurratul Aini]]>
<![CDATA[ Journal of Fundamental Mathematics and Applications (JFMA) Vol 5, No 1 (2022) ]]>
Publisher : <![CDATA[Diponegoro University ]]>
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DOI: 10.14710/jfma.v5i1.12699
<![CDATA[A torsion module over a principal ideal domain has special properties related to the way how it is decomposed either into primary or cyclic submodules. This paper carries out a special case of such module over the ring of integer, which consists of all matrices with entries from the set of integer modulo n. The result shows that its decomposition depends on the prime factors of n.]]>
<![CDATA[PENENTUAN HARGA OPSI DENGAN MODEL BLACK-SCHOLES MENGGUNALKAN METODE BEDA HINGGA FORWARD TIME CENTRAL SPACE ]]>
<![CDATA[Werry Febrianti]]>
<![CDATA[ Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 1 (2018) ]]>
Publisher : <![CDATA[Diponegoro University ]]>
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DOI: 10.14710/jfma.v1i1.6
<![CDATA[Option can be defined as a contract between two sides/parties said party one and party two. Party one has the right to buy or sell of stock to party two. Party two can invest by observe the put option price or call option price on a time period in the option contract. Black-Scholes option solution using finite difference method based on forward time central space (FTCS) can be used as the reference for party two in the investment determining. Option price determining by using Black-Scholes was applied on Samsung stock (SSNLF) by using finite difference method FTCS. Daily data of Samsung stock in one year was processed to obtain the volatility of the stock. Then, the call option and put option are calculated by using FTCS method after discretization on the Black-Scholes model. The value of call option was obtained as $1.457695030014260 and the put option value was obtained as $1.476925604670225.]]>
<![CDATA[ESTIMASI TINGKAT RISIKO INVESTASI EMAS MENGGUNAKAN PENDEKATAN GENERALIZED EXTREME VALUE DAN GENERALIZED PARETO DISTRIBUTION ]]>
<![CDATA[Noviana Pratiwi]]>;
<![CDATA[Catur Iswahyudi]]>
<![CDATA[ Journal of Fundamental Mathematics and Applications (JFMA) Vol 2, No 1 (2019) ]]>
Publisher : <![CDATA[Diponegoro University ]]>
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DOI: 10.14710/jfma.v2i1.22
<![CDATA[This study estimates the level of risk in investing in gold. Value at Risk (VaR) is a method which can be used for calculating the level of risk. There are two distribution approaches used, namely Generalized Extreme Value Distribution (GEV) and Generalized Distribution Pareto (GDP). These two distributions are used because gold data is alleged to have a heavy tail distribution. The study uses secondary data on gold prices with January 2015 to December 2017 period with a total of 876 data. The results obtained indicate that the data return for the gold price has a heavy tail. Estimation results obtained indicate that the VaR value at the 95% confidence level is less than VaR with a 99% confidence level so it can be concluded that the higher the level of risk to be taken, the greater the level of confidence and capital allocation to cover losses taken by investors. The GDP Estimation value gives a greater value than GEV. and the largest VaR value is shown at 4.049%, which means that the maximum loss that may occur in one period ahead is 4.049%.]]>
<![CDATA[NUMERICAL SIMULATION OF STOCHASTIC DIFFERENTIAL EQUATIONS USING IMPLICIT MILSTEIN METHOD ]]>
<![CDATA[Ratna Herdiana]]>
<![CDATA[ Journal of Fundamental Mathematics and Applications (JFMA) Vol 3, No 1 (2020) ]]>
Publisher : <![CDATA[Diponegoro University ]]>
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DOI: 10.14710/jfma.v3i1.7416
<![CDATA[Stiff stochastic differential equations arise in many applications including in the area of biology. In this paper, we present numerical solution of stochastic differential equations representing the Malthus population model and SIS epidemic model, using the improved implicit Milstein method of order one proposed in [6]. The open source programming language SCILAB is used to perform the numerical simulations. Results show that the method is more accurate and stable compared to the implicit Euler method.]]>
<![CDATA[CHARACTERIZATION OF WEAKLY PRIME SUBMODULE ]]>
<![CDATA[Puspa Nur Afifah]]>;
<![CDATA[Irawati Irawati]]>
<![CDATA[ Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 2 (2021) ]]>
Publisher : <![CDATA[Diponegoro University ]]>
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DOI: 10.14710/jfma.v4i2.12189
<![CDATA[Let R is a commutative ring with identity and M is a unital R-module. El-bast and Smith (1988) have researched and introduced the multiplication module. Prime submodule has been studied by Ameri (2002). Then Atani and Farzalipour (2007) have extended the prime submodule to weakly prime submodule. Some properties were proved on each paper. This paper will study about characterization of weakly prime submodules.]]>
<![CDATA[RADIKAL SUPERNILPOTENT BERTINGKAT ]]>
<![CDATA[Puguh Wahyu Prasetyo]]>
<![CDATA[ Journal of Fundamental Mathematics and Applications (JFMA) Vol 2, No 1 (2019) ]]>
Publisher : <![CDATA[Diponegoro University ]]>
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DOI: 10.14710/jfma.v2i1.25
<![CDATA[The development of Ring Theory motivates the existence of the development of the Radical Theory of Rings. This condition is motivated since there are rings which have properties other than those owned by the set ring of all integers. These rings are collected so that they fulfill certain properties and they are called radical classes of rings. As the development of science about how to separate the properties of radical classes of rings motivates the existence of supernilpotent radical classes. On the other hand, there exists the concept of graded rings. This concept can be generalized into the Radical Theory of Rings. Thus, the properties of the graded supernilpotent radical classes are very interesting to investigate. In this paper, some graded supernilpotent radical of rings are given and their construction will be described. It follows from this construction that the graded Jacobson radical is a graded supernilpotent radical.]]>
