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MATEMATIKA
Published by Universitas Diponegoro
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Articles 300 Documents
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PERTIDAKSAMAAN AZUMA PADA MARTINGALE UNTUK MENENTUKAN SUPREMUM PELUANG sudarno, Sudarno
MATEMATIKA Vol 10, No 2 (2007): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Counting probability a two-tailed hypothesis determine level of the significance. This case follows positive and negative random variables. So that the probability distribution is a symmetric. The probability will be counted by Azuma inequality on martingales. The lowest upper bound is a decay exponential function. It is determined in some a, n, m, and e value by a simulation. The conclusion of this paper is that the random variable value is higher than the probability value (supremum) is lower, vise versa. Therefore, Its property is same as the distribution function.  
NEUTROSOFIK MODUL DAN SIFAT-SIFATNYA ., Suryoto; Irawanto, Bambang; Puspita, Nikken Prima
MATEMATIKA Vol 18, No 1 (2015): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Given any ring with unity and a commutative neutrosophic group under the additional operation, then from the both structures can be constructed a neutroshopic module by define the scalar multiplication between elements of the ring and elements of the commutative group. Further by generalized the neutrosophic module can be obtained a substructure of the neutrosophic module called a neutrosophic submodule. In this paper, from the concept of neutrosophic module and the ring with unity we study a generalization of classical module, that is a neutrosophic module and its properties. By utilizing the neutroshopic element as an indeterminate and an idempotent element under multiplication can be shown that most of the basic properties of clasiccal module generally still true on this neutrosophic struture.
MENENTUKAN DEVIASI DARI HIMPUNAN TERURUT PARSIAL Amir, Amir Kamal
MATEMATIKA Vol 12, No 1 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

To measure of how close the ring is to being Artinian ring is used usually so called Krull dimention. In the case of noncommutative rings, the Krull dimention is measured on the lattice of ideals. In this situation, the lattice of  ideals is seen as a poset (partial ordered  set) and then the deviation of the poset is measured. This paper will describe, completely, deviation of posets including the deviation of product of two posets. Moreover, this paper also will present characteristic of poset which has a deviation and does not have.  
Studi Banding antara Metode Minimum Distance dan Gaussian Maximum Likelihood Sebagai Pengklasifikasi Citra Multispektral sarwoko, eko adi
MATEMATIKA Vol 7, No 2 (2004): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Metode Minimum Distance merupakan metode sederhana (metrik jarak) yang digunakan untuk alat pengklasifikasi pada masalah pengenalan pola. Demikian pula Metode Gaussian Maximum Likelihood, informasi yang ditunjukkan metode ini cukup lengkap, karena selain rata-rata, juga memperhitungkan informasi variansi pada variable yang diukur. Tulisan ini mengkaji mekanisme dan kinerja kedua metode, yang diujikan pada data citra multispektral daerah Riau dan Jawa Tengah. Dari hasil penelitian ini, ternyata penggunaan metode Gaussian Maximum Likelihood mempunyai akurasi yang lebih baik dibandingkan metode Minimum Distance.
SOLUSI MASALAH TRANSPORTASI MENGGUNAKAN TOCM-SUM APPROACH DENGAN INDIKATOR DISTRIBUSI Astuti, Nita Dwi; Utomo, Robertus Heri Soelistyo; Djuwandi, Djuwandi
MATEMATIKA Vol 19, No 3 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Transportation problems are related to the transport of a product from some sources to a number of different destination. In general, the different delivery will produce different shipping cost, therefore the purpose of solving classic transportation problems with the allocation of delivery from the source to destination is to determine the minimum transportation costs. The appropriate allocating in each case will produce an optimal solution for both minimize case and maximize case. TOCM-SUM approach with the indicator distribution is a new method for seeking initial feasible solution of the transportation problem. This method was proposed by Aminur Rahman Khan, Adrian Vilcu, MD.Sharif Uddin and FlorinaUngureanu. The first step is create a table of transportation, the second step is reduce the elements in each row and column with the smallest elements in every row and column, the third case is form the tables of Total Opportunity Cost Matrix (TOCM), the fourth case is calculate the indicators of distribution of each row and column in the TOCM table, and thereafter, the allocation is given to the cell that has the minimum distribution indicator. Repeat the steps until the total allocation of supply and demand is met, for optimal solutions the method of Stepping Stone is being used. This article discusses the application of TOCM-SUM Approach with the indicator distribution – Stepping Stone in the CV. Tirta Makmur Ungaran.    
SYARAT PERLU DAN CUKUP SUBMODUL TERKOMPLEMEN wahyuni, Sri
MATEMATIKA Vol 5, No 1 (2002): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Dipresentasikan syarat perlu dan cukup agar suatu submodul S dalam suatu modul M atas ring komutatif dengan elemen satuan R merupakan submodul terkomplemen. Diperoleh suatu sifat bahwa jika S terkomplemen akan berakibat  bebas; dan juga jika S terkomplemen maka akan berlaku: untuk setiap x Î S  jika berlaku x = ay dengan y Î M dan  a ¹ 0 dalam R, maka haruslah y juga barada dalam M. Selanjutnya dapat ditunjukkan  kebalikannya juga benar jika M merupakan modul yang dibangun secara hingga atas daerah ideal utama R.  
TRANSITIF KLOSUR DARI GABUNGAN DUA RELASI EKUIVALENSI PADA SUATU HIMPUNAN DENGAN STRUKTUR DATA DINAMIS Endah, Sukmawati Nur
MATEMATIKA Vol 8, No 3 (2005): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

A relation R on set A is an equivalence relation on A if and only if R is reflexive, symmetric and transitive. If two equivalence relations on set A are  combined, the combination of them is not surely an equivalence relation, because it is not surely transitive relation. In this paper is found the smallest transitive relation (transitive closure) of the combination, to be an equivalence relation. Then the steps to determine transitive closure are programmed in Pascal programming language with dynamic data structure that is multilist.
APLIKASI MATEMATIKA DALAM PERENCANAAN DAN PENGENDALIAN DI BIDANG INDUSTRI Kartono, Kartono
MATEMATIKA Vol 6, No 1 (2003): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Pengambilan keputusan d­alam encanaan dan pengendalian di bidang Industri harus didukung oleh suatu analisis kwantitatif dan kwalitatif, sehingga hasil yang diperoleh menjadi optimal. Dalam tulisan ini dibahas beberapa analisis kwantitatif yang dapat digunakan dalam pangambilan keputusan yang optimal.
Graf Fuzzy Produk Firmansyah, Fery; Bayu, Surarso
MATEMATIKA Vol 14, No 3 (2011): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Fuzzy graph is a graph which is consists of a pairs of vertex and edge that have degree contained on closed interval of real number [0,1] on each edge and vertex. Product fuzzy graph was defined by Dr. V. Ramaswamy and Poornima B by replacing “infimum” in definition of fuzzy graph by “product”. In this paper we study product fuzzy graph complete, in connection  complement of produk fuzzy graph, join of produk fuzzy graph and multiplication of produk fuzzy graph. We show that complement of the multiplication of two product fuzzy graphs complete is a multiplication of its complement, in which this disposition produces nil graph.  
PENDEKATAN REGRESI UNTUK ANALISIS RAGAM KLASIFIKASI DUA-ARAH Ispriyanti, Dwi
MATEMATIKA Vol 10, No 1 (2007): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Regression approach can be used for solving analysis of variance problems, wether of one way or two ways ANOVA . In ANOVA, model is an important factor. In this paper, we will study two ways classification ANOVA with regression approach for solving the fixed effect model. It can be done if the model is indentified truly and if the preventive procedure have been done so we have an independent normal equation. A characteristic of ANOVA is that the analysis model is overparameterized, so we have to make constraint for the parameters. In the Regression model approach for ANOVA problems, the independent variable X at categorical form 0 and 1 , or we have to make dummy variables at row and colom factors.  

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