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Penentuan Lokasi SMP Baru di Kabupaten Klungkung dengan Algoritma Fuzzy Subtractive Clustering I Gede Oka Artawan; G.K. Gandhiadi; Tjokorda Bagus Oka
Jurnal Matematika Vol 3 No 2 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2013.v03.i02.p36

The aim of this paper is to determine a new location of junior high school at Klungkung, using Fuzzy Subtractive Clustering Algorithm. The new location of the junior high school is depending on the graduate number of elementary school, the distance between location of candidates, and distance between the candidates’ location and existing junior high school. To measure the distance, it is used an Euclidean distance. At the beginning of calculation, the locations of elementary schools are used as the location candidates. Then, the density value of each location candidates is calculated using Fuzzy Subtractive Clustering Algorithm. The location candidate which has the highest density will be chosen to become a starting location. The results of calculation show that the location candidate at 8°32'5.70"S, 115°24'20.64"E has the highest density value, it is at SD Negeri 1 Semarapura Kangin. So the location for the new junior high school is at around SD Negeri 1 Semarapura Kangin.

Model Matematika (Nonlinier) Populasi Anjing Rabies dengan Vaksinasi Ahmad Fitri; Tjokorda Bagus Oka; I Nyoman Widana
Jurnal Matematika Vol 5 No 1 (2015)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2015.v05.i01.p52

Rabies is a fatal infectious virus that can attack all mammals especially dogs. Infection happens when there is interaction between healthy dogs and rabies-infected dogs. In Bali, rabies was first found in late 2008. One of the solutions done by government to the problem is by giving vaccine to healtly dogs, so that they are not easily infected by the virus. Thus, a mathematical model is needed to analyze the development of dogs population in Bali. By using analysis of fixed point and stability on the model, the population of rabies-infected dog was affected by not only the percentage of vaccination but also the number of healthy dogs birth. Lastly, a numeric simulation by using Taylor’s seriesorder was conducted to illustrate and to strengthen the result of the analysis.

Penentuan Lokasi SMP Baru di Kabupaten Klungkung dengan Algoritma Fuzzy Subtractive Clustering I Gede Oka Artawan; G. K. Gandhiadi; Tjokorda Bagus Oka
Jurnal Matematika Vol 3 No 2 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar

The aim of this paper is to determine a new location of junior high school at Klungkung, using Fuzzy Subtractive Clustering Algorithm. The new location of the junior high school is depending on the graduate number of elementary school, the distance between location of candidates, and distance between the candidates’ location and existing junior high school. To measure the distance, it is used an Euclidean distance. At the beginning of calculation, the locations of elementary schools are used as the location candidates. Then, the density value of each location candidates is calculated using Fuzzy Subtractive Clustering Algorithm. The location candidate which has the highest density will be chosen to become a starting location. The results of calculation show that the location candidate at 8°32'5.70"S, 115°24'20.64"E has the highest density value, it is at SD Negeri 1 Semarapura Kangin. So the location for the new junior high school is at around SD Negeri 1 Semarapura Kangin.

Model Matematika (Linier) Populasi Anjing Rabies dengan Vaksinasi Ahmad Fitri; Tjokorda Bagus Oka; I Nyoman Widana
Jurnal Matematika Vol 4 No 2 (2014)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2014.v04.i02.p46

Rabies is an infectious virus that can attack all mammals especially dogs. In Bali, rabies was found in late 2008. One of the solutions done by government for the problem is by giving vaccine to healtly dogs, so that they are not easily infected by the virus. Thus, a mathematical model is needed to analyze the development of dog population in Bali and to determine the limination of dogs birth population and the percentage limination of vaccination that can be possibly done so that the population of dogs infected by rabies becomes extinct. By using analysis of fixed point and stability on the model, the limination of dogs birth population and the percentage limitation of the vaccination was obtained. Lastly, a numeric simulation by using Taylor’s series order was conducted to illustrate and to strengthen the result of the analysis.

Pendekatan Fuzzy Pada Peramalan Jumlah Kunjungan Wisatawan Mancanegara ke Kabupaten Badung Tjokorda Bagus Oka; Eka N. Kencana
Jurnal Matematika Vol 6 No 2 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2016.v06.i02.p76

This work is directed to forecast the number of foreign visitors come to tourist’s destinations at Badung regency, Province of Bali. Using visit historical data for period January 2000 to February 2015, Markov Transition Matrix and Fuzzy Triangular Number are applied to represent fuzzy logical relationship group and member function in fuzzy model, respectively. The results showed the in-sample forecasting accuracy for our fuzzy model as much as 2,48 percent. To validate the model, we found the average forecasting error rate for five consecutive months (March – July 2015) as much as 2,70 percent.

Penggunaan Mind Map dalam Pembuktian Matematika Luh Putu Ida Harini; Tjokorda Bagus Oka
Jurnal Matematika Vol 6 No 1 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2016.v06.i01.p68

Matematika merupakan salah satu bidang ilmu yang keberadaanya disusun dari suatu sistem yang penuh dengan perjanjian dan terbangun atas logika dari sekelompok unsur, relasi, dan operasi yang diramu secara aksiomatik serta kebenarannya harus terjamin. Dengan demikian maka pembuktian dalam matematika menjadi salah satu modal terpenting dalam pengembangan matematika. Beberapa orang menganggap pembuktian dalam matematika merupakan suatu keindahan tersendiri walaupun seringkali dalam merangkai fakta-fakta kebenaran melalui penalaran yang logis tidaklah mudah. Diperlukan banyak latihan dan pembelajaran untuk menguasai keterampilan ini. Berlatih memahami bukti adalah salah satu cara termudah dalam memulai memahami konsep matematika yang lebih abstrak. Akan tetapi pada kenyataannya memahami bukti yang sudah ada saja bukan merupakan hal yang mudah, apalagi jika diminta untuk membuktikan. Oleh karena itu dalam tulisan ini akan diulas salah satu alternatif penggunaan mind map dalam membantu memperkenalkan konsep terkait pembuktian dan membiasakan diri menggunakan metode-metode pembuktian yang sudah ada.

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