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Tjokorda Bagus Oka
Faculty Of Mathematics And Natural Sciences, Udayana University
Mathematics

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Journal : E-Jurnal Matematika

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PENERAPAN METODE FUZZY SUGENO UNTUK MENENTUKAN HARGA JUAL SEPEDA MOTOR BEKAS AMI HILDA AGUSTIN; G. K. GANDHIADI; TJOKORDA BAGUS OKA
E-Jurnal Matematika Vol 5 No 4 (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/MTK.2016.v05.i04.p138

Abstract

Fuzzy logic is a way to map an input space into an output space. The basic of fuzzy logic is fuzzy set theory. In the fuzzy set theory, the role of membership degree is important to determine the presence of elements in a set. Membership degree is the fundamental feature of reasoning in fuzzy logic. There are several methods that are often used in solving fuzzy inference system, one of them is fuzzy Sugeno method. The aim of this research is applications of fuzzy methods is to forecast to determine the selling price of used motorcycles. In determining the selling price of used motorcycles, there are several things that need to be considered, namely : the production year of the motorcycles, the physical condition of the motorcycles, the origin of the license plates, and the purchase price of the motorcycles. The calculation can be done by using Matlab program. The result obtained were then tested using the Mean Absolute Percentage Error (MAPE) by calculating difference between the selling price of dealer minus the selling price of fuzzy Sugeno then divided by the selling price of dealer. From the test result, MAPE value obtained was 5,64% . This indicates that error rate below 10%, so we can say the result of these calculation is considerably accurate.
PENENTUAN LOKASI SMA NEGERI MENGGUNAKAN DIAGRAM VORONOI BERBOBOT DI KOTA DENPASAR MELINDA HERMANTO; TJOKORDA BAGUS OKA; I PUTU EKA NILA KENCANA
E-Jurnal Matematika Vol 2 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/MTK.2013.v02.i02.p034

Abstract

In school development problem, determining location is one of important things to consider. In this research, the purpose is to determine the location of SMAN 9 Denpasar if it will be built. One of algorithms in computational geometry that can be used to find solution of facility location problem is multiplicatively weighted Voronoi diagram in two dimensions. The result of weighted Voronoi diagram shows the influence of each site to the surrounding area. Then, the location of SMAN 9 Denpasar is obtained by determining the center of the largest empty circle of the weighted Voronoi diagram.
MENGKLASIFIKASIKAN DESA PERKOTAAN DAN DESA PERDESAAN DI KABUPATEN KLUNGKUNG MENGGUNAKAN METODE MAMDANI NI KADEK SUMARWATI; G.K. GANDHIADI; TJOKORDA BAGUS OKA
E-Jurnal Matematika Vol 7 No 3 (2018)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2018.v07.i03.p204

Abstract

According to Bureau of Statistic, village can be classified into urban and rural village. This classification is useful for planning development, such as security, health, and agriculture plans which have the roles of rural urban linkages. This classification also useful for divide a village into villages. In this research the villages in Klungkung Regency will be classified into urban and rural villages using Mamdani method. The result of classification using Mamdani method is 52 villages classified into urban village and seven villages classified into rural village which has an accuracy of 93% between the Mamdani method output with the original data in 59 villages in Klungkung Regency.
PENERAPAN METODE BINOMIAL TREE DALAM MENGESTIMASI HARGA KONTRAK OPSI TIPE AMERIKA I GUSTI AYU MITA ERMIA SARI; KOMANG DHARMAWAN; TJOKORDA BAGUS OKA
E-Jurnal Matematika Vol 5 No 4 (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/MTK.2016.v05.i04.p135

Abstract

Binomial tree is a method that can be used to determine price option contracts. In this method, the stock price movement is presented in the form of a  tree with each branch representing the probability of the stock price to move up or move down. The purpose of this paper was to determine the price of the options contracts with the American type on Binomial Tree method and compare the three methods that is variance matching, proportional , and risk neutral of determining the value of price option contracts used in Binomial Tree method with Black-Schole method. The result of this research was the value of the options contract using the variance matching more similar with the value of the Black-Scholes contract.
MODEL SIR (SUSCEPTIBLE, INFECTIOUS, RECOVERED) UNTUK PENYEBARAN PENYAKIT TUBERKULOSIS K. QUEENA FREDLINA; TJOKORDA BAGUS OKA; I MADE EKA DWIPAYANA
E-Jurnal Matematika Volume 1, No 1, Tahun 2012
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2012.v01.i01.p009

Abstract

Tuberkulosis (TB) merupakan salah satu penyakit penyebab kematian di negara berkembang. Oleh karena itu, perlu dilakukan analisis yang dapat diterima secara ilmiah terhadap peristiwa penyebaran penyakit tuberkulosis. Salah satunya dapat dipandang dalam bentuk model matematika. Model penyebaran penyakit TB yang disusun menghasilkan persamaan model yang menggambarkan penyebaran penyakit TB pada kelas susceptible, infectious dan recovered. Model yang terbentuk perlu dianalisis dengan mencari titik kritis, nilai eigen dan basic reproduction ratio. Kemudian dilakukan simulasi menggunakan metode Runge-Kutta orde 4 untuk menguji analisis parameter. Dari hasil analisis akan didapat parameter yang paling berpengaruh dalam penyebaran tuberkulosis adalah laju penularan dan laju kesembuhan. Dengan demikian penyebaran tuberkulosis dapat dikendalikan dari kejadian epidemi dengan membuat   atau menurunkan laju penularan dan meningkatkan laju kesembuhan.
PENERAPAN METODE PENDUGAAN AREA KECIL (SMALL AREA ESTIMATION) PADA PENENTUAN PROPORSI RUMAH TANGGA MISKIN DI KABUPATEN KLUNGKUNG PUTU EKA ARIWIJAYANTHI; I WAYAN SUMARJAYA; TJOKORDA BAGUS OKA
E-Jurnal Matematika Vol 2 No 3 (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/MTK.2013.v02.i03.p046

Abstract

Small area is an area with insufficient sample for direct estimation. Limited survey objects, cause direct estimation can not produce better parameter estimates. Based on this, an indirect estimation method called empirical Bayes is used to obtain a better estimate. This study will compare means squared error by  direct estimation method and empirical Bayes method to find a better method on a small area. Jackknife is used to get the means squared error in the empirical Bayes. The results is, empirical Bayes methods give a better parameters based on mean squared errors. Empirical Bayes can produce a smaller mean squared error more than direct estimation in small area.
ANALISIS KUNJUNGAN ULANG WISATAWAN NUSANTARA DENGAN MODEL KONSTRUK BERHIERARKI DWI HERAYANTHI W.; KOMANG GDE SUKARSA; TJOKORDA BAGUS OKA; EKA N. KENCANA
E-Jurnal Matematika Vol 5 No 4 (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/MTK.2016.v05.i04.p140

Abstract

This research is aimed to analyze the effect of domestic tourists’ satisfaction towards their intention to revisit destinations at Badung Regency, Province of Bali by using hierarchical construct modeling. Data from 75 local tourists were collected in July through December 2015 and were used to model this causal relationship.  In our model, destination attributes, tourist’s facilities, and destination accessibilities were positioned as the second-order constructs and proposed have effect on tourists’ satisfaction.  Futhermore, satisfaction – in turns – is proposed affects tourist intention to revisit.  We found destination attributes significantly affect tourist satisfaction with its causal value is 0.410 and this satisfaction significantly affects their intention to revisit tourism destinations at Badung Regency with path value as much as 0.764.
PENERAPAN STATIC HEDGE DALAM PENGELOLAAN RISIKO PADA OPSI TIPE BARRIER NI MADE NITA ASTUTI; KOMANG DHARMAWAN; TJOKORDA BAGUS OKA
E-Jurnal Matematika Vol 7 No 4 (2018)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2018.v07.i04.p225

Abstract

The barrier option is an option whose payoff depends on whether the underlying asset touches the barrier or not during the lifetime of the option. The determination of the barrier option requires a numerical approach, one of which is the Binomial Tree model. The purpose of this study is to determine barrier option type down and out call on a static hedging using the Binomial Tree model and compare it with the analytic value. The results show that the increases in strike price would decrease the option value. Moreover, values from 80 periods using the Binomial Tree model for the four strike prices are close to analytic with error less than or equal to 0.00182.
PENENTUAN CADANGAN PREMI DENGAN METODE NEW JERSEY PADA ASURANSI JOINT LIFE JENNE LALI TEWO; I NYOMAN WIDANA; TJOKORDA BAGUS OKA
E-Jurnal Matematika Vol 7 No 3 (2018)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2018.v07.i03.p207

Abstract

Joint Life insurance is an insurance that covered two individuals in one policy. The purpose of this research is to determine and to compare the reserve value of Joint Life insurance using New Jersey method and Prospective method with and without New Jersey method. The method that used in this research are New Jersey method, the participants of this assurance is a couple of husband and wife between 45 and 40 years old with 30 years period, interest levels at 6,5%. The results of this represent reserve value with New Jersey method always smaller, and the reserve value in the 30 years period have the same result using New Jersey method and Prospective method.
KAJIAN TERHADAP TINGKAT PEMERATAAN PENDIDIKAN MENGGUNAKAN ANALISIS BIPLOT KLASIK DAN BIPLOT KEKAR NI LUH ARDILA KUSUMAYANTI; I KOMANG GDE SUKARSA; TJOKORDA BAGUS OKA; I PUTU EKA N. KENCANA
E-Jurnal Matematika Vol 4 No 2 (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/MTK.2015.v04.i02.p086

Abstract

The aim of this research is to find the better from classical and robust biplot in determine dominant indicators of educational equity in Bali, NTB and NTT Provinces. This research based on secondary data obtain from Central Bureau of Statistics for year 2012/2013. Educational equity was portraited by Classical and Robust Biplot. The results of this research showed Robust Biplot is better method which goodness of fit is 90,64% meanwhile Classical Biplot as much as 83,62%. The Robust Biplot showed Students- Junior or Islamic Middle School Ratio and Students-Senior or Islamic High School were dominant indicators to educational equity in Bali,  NTB and NTT Provinces.
Co-Authors Ahmad Fitri Ahmad Fitri AMI HILDA AGUSTIN DWI HERAYANTHI W. EKA N. KENCANA Eka N. Kencana G. K. GANDHIADI I Gede Oka Artawan I GUSTI AYU MITA ERMIA SARI I KOMANG GDE SUKARSA I MADE EKA DWIPAYANA I Nyoman Widana I Putu Eka Nila Kencana I Wayan Sumarjaya JENNE LALI TEWO JUEN LING Ketut Queena Fredlina Komang Dharmawan LUH PUTU IDA HARINI MELINDA HERMANTO NI KADEK SUMARWATI NI KOMANG DEBY ARIANI NI LUH ARDILA KUSUMAYANTI NI MADE NITA ASTUTI PUTU EKA ARIWIJAYANTHI