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INDONESIA
MATEMATIKA
Published by Universitas Diponegoro
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Core Subject : Education,
Mathematics
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Articles 9 Documents
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Search results for , issue "Vol 20, No 2 (2017): JURNAL MATEMATIKA" : 9 Documents clear
PENDEKATAN VALUE BILANGAN TRAPEZOIDAL FUZZY DALAM METODE MAGNITUDE Aulia, Lathifatul; Irawanto, Bambang; Surarso, Bayu
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Defuzzification is the process to transform fuzzy numbers into real numbers (crisp). There are some defuzzification methods which can be used to confirm the fuzzy numbers. However, different defuzzification methods produce different real numbers (crisp) too. In this paper, we discuss about Magnitude method, that is an approachment method which can be used in the defuzzification of trapezoidal fuzzy numbers. The defuzzification method  in the calculation considers average between the value of trapezoidal fuzzy numbers and the middle point of two defuzzifier trapezoidal fuzzy numbers
SIFAT-SIFAT DAN STRUKTUR ALJABAR MATRIKS PENYAJIAN DARI PERSEGI AJAIB Suryoto, Suryoto; Harjito, Harjito; Udjiani, Titi; Puspita, Nikken Prima
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Penelitian ini membahas sifat-sifat dasar dari persegi ajaib dan struktur aljabar dari himpunan semua matriks penyajian dari persegi ajaib berordo . Struktur aljabar yang dapat dibentuk dari himpunan matriks persegi ini antara lain berupa grup komutatif terhadap operasi penjumlahan matriks, modul atas daerah bilangan bulat , dan juga merupakan ruang vektor (atas lapangan rasional ℚ, lapangan real ℝ maupun lapangan kompleks ℂ). Diberikan pula nilai karakteristik dari matriks persegi ajaib salah satunya adalah konstanta ajaib dari matriks persegi ajaib yang bersangkutan.
ANALISIS KESTABILAN MODEL PENYEBARAN VIRUS EBOLA Muntoyimah, Nok; Widowati, Widowati; Sumanto, YD
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

The Ebola virus disease is caused by the Ebola Virus Deceased (EVD), it belongs to the Fioviridae virus family. Ebola virus can be transmitted through direct contact with infected bodily fluids, organ secretions, blood, and surfaces or objects contaminated by the virus. The spread of the Ebola virus is examined in the form  of mathematical models of SEIR-D (Suspectible, Exposed, Infected, Recovery, Death). The value of the basic reproduction number ( ) was calculated to determine the spread of the Ebola virus. Then, look for disease-free equilibrium and endemic equilibrium and stability analysis of equilibrium points. Numerical simulations performed by entering the initial values and parameter values. From the numerical analysis it is known that the basic reproduction number  so that the stability point of disease-free equilibrium model of the Ebola virus is not stable, whereas the stability of endemic equilibirum point of the model ebola virus is locally asymptotically stable, which means it has spread ebola virus.
METODE ASM PADA MASALAH TRANSPORTASI SEIMBANG Septiana, Arum Ryani; Solikhin, Solikhin; Ratnasari, Lucia
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

The transportation problem is special case on the linear programming which examines the goods’ distribution for minimize shipping cost or maximize profits. In general, transportation problem requires two stages of completion, which is looking for feasible solution first and the look for the optimal solution. Abdul Quddoos, Dr. Shakeel Javaid, and Prof. Mohd Masood Khalid did some research for a new method, ASM method which is direct method with simple and fast way. This method relies on the cell that has the number 0 with the smallest index, and used to minimize transport costs. This final project determines the optimal solution using ASM method, both to mimize costs and maximize profits, and investigate the optimal method of ASM. The solution that obtained by ASM method on balanced transportation problem is always optimal, while for unbalanced transportation problem is not always optimal. The difference between algorithm for minimizing cases and maximize cases lies only in the first step, which is if the maximization case, then change c_ij into(-c_ij ).
PELABELAN TOTAL TRIMAGIC SISI TERURUT TITIK-a PADA BEBERAPA GRAF Aprilia, Maita; Soelistyo Utomo, Robertus Heri; Farikhin, Farikhin
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Given graph G with number of vertex p and number of edge q. In this paper, we discussed a-vertex consecutive edge trimagic total labeling for several graphs which contain Bistar and Cycle Graph.
AKURASI MODEL PREDIKSI METODE BACKPROPAGATION MENGGUNAKAN KOMBINASI HIDDEN NEURON DENGAN ALPHA Widodo, Aris Puji; Suhartono, Suhartono; Sarwoko, Eko Adi; Firdaus, Zulfia
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Permasalahan yang banyak terjadi pada Perusahaan Daerah Air Minum (PDAM) adalah mengenai ketersediaan produksi air bersih untuk dapat memenuhi kebutuhan pelanggan secara baik. Permasalahan ini terjadi diantaranya diakibatkan dengan adanya peningkatan jumlah pelanggan yang mengakibatkan permintaan akan air bersih juga  meningkat, dan faktor kehilangan air, sehingga pendistribusian air tidak berjalan dengan baik. Oleh karena itu diperlukan sebuah kajian sebagai pertimbangan untuk memberikan solusi mengenai prediksi produksi air bersih di PDAM. Studi kasus yang digunakan pada penelitian adalah PDAM Purwa Tirta Dharma Kabupaten Grobogan. Penelitian ini menggunakan metode Jaringan Syaraf Tiruan Backpropagation. Data PDAM yang digunakan adalah  meliputi data faktor-faktor yang mempengaruhi pada produksi air bersih, diantaranya jumlah pelanggan, jumlah air terjual, jumlah kehilangan air dan jumlah debit sumber air. Penelitian ini menggunakan data laporan bulanan 5 tahun terakhir (Januari 2011 s/d Desember 2015). Data yang digunakan dibagi menjadi 2, yaitu 70% untuk pelatihan dan 30% untuk pengujian. Jaringan terbaik diambil dari nilai Mean Square Error (MSE) pelatihan dan pengujian yang terkecil. Eksperimen yang dilakukan pada penelitian ini menggunakan scenario dengan cara melakukan kombinasi antara hidden neuron dengan alpha. Hasil eksperimen yang telah dilakukan, maka diperoleh nilai MSE pelatihan rata-rata sebesar 0,009538, MSE pengujian rata-rata sebesar 0,050373, dan nilai akurasinya sebesar 95,93%.
INTEGER QUADRATIC OPTIMIZATION MODEL TO SOLVE SUPPLIER SELECTION PROBLEM WITH BUDGETARY CONSTRAINT Sagita, Hendry; Sutrisno, Sutrisno; Ratnasari, Lucia
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper, we propose an integer quadratic optimization model to determine the optimal decision for a supplier selection problem. The decision is the optimal product volume that has to be purchased from each supplier so that the total cost is minimum and the constraints are satisfied. The cost function that we used is containing the purchasing cost, transportation cost, penalty cost for product that not satisfy the quality level, penalty cost for product that is late and the holding cost whereas the constraints are consisting of supplier capacity constraint, demand satisfying, supplier assignment, inventory management, and budget constraint. A numerical experiment with generated random data is given to illustrate how the supplier selection problem can be solved by using the proposed mathematical model. From the results, the optimum product volume from each suppliers was determined so that the total cost is minimum.
RUANG MATRIX LINEAR TRANSLASI INVARIAN PADA RUANG FUNGSI INTEGRAL HENSTOCK-DUNFORD PADA [a,b] Solikhin, Solikhin; Sumanto, YD; Hariyanto, Susilo; Aziz, Abdul
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper we study Henstock-Dunford integral on [a,b]. We discuss some properties of the integrable. We will construct norm and matrix on Dunford-Henstock integrable function space, $HD[a,b]$. We obtain that $HD[a,b]$ is linear space. A function $\left\| \,.\, \right\|:HD[a,b]\to R$ defined by $\left\| f \right\|=\underset{\begin{smallmatrix} {{x}^{*}}\in {{X}^{*}} \\ \left\| {{x}^{*}} \right\| \le 1 \end{smallmatrix}}{\mathop{\sup}}\, \\ left( \underset{A\subset[a,b]}{\mathop{\sup}}\,\,\left| \left( H \right) \int \limits_{A}{{{x}^{*}}f} \right| \right)$ for every $f \in HD[a,b]$ is norm on linear space $HD[a,b]$. A function $d:HD[a,b]\times HD[a,b]\to R$ defined by $d\left( f,g \right)=\left\| f-g \right\|$ for every $f,g\in HD[a,b]$ is a matrix on linear space $HD[a,b]$. Further more, linear space $HD[a,b]$ is linear matrix translation invarian space.
APLIKASI BS RUTEKU, NAVIGASI BLOK SENSUS MENGGUNAKAN ALGORITMA DJIKSTRA Muna, Muna; Kusmaiwanto, Herry
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

The activities of the Badan Pusat Statistik (BPS) in conducting the census and survey generally begin with the tracing of the census block (BS) by using map map print-out census block  If the officer gets a new working area he / she knows not too many officers who have difficulty to block the census of his working area and in determining its boundaries. Error determining the location or limits of the selected Censusblock is a Major Error, for that BS Ruteku as a tool of navigation fast and cheap, because it does not need to connect to the internet and does not make the battery run out quickly. The method used in BS Ruteku application uses Djikstra Algorithm method. This application is designed with the aim to find the route of the nearest road from one area to another. The Ruteku BS Application is the result of the Censusblock Digit Map Overlay with Indonesian Basic Map (http://navigasi.net/goptd.php), which added some Local Content and uses the android / GPS navigation system as the Navigator Engine. To be able to provide the Shortest Distance, Fastest Distance or Distance straight, then the existing Polyline autoruting process. The test results show that the accuracy of the use of the earth map is reliable, this application is also able to find the nearest route from a region or census block and can provide direction through the sound.

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