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Journal of Mathematics, Computation and Statistics (JMATHCOS)
Published by Universitas Negeri Makassar
ISSN : 24769487     EISSN : 27210863     DOI : https://doi.org/10.35580/jmathcos
Core Subject : Education,
Mathematics
Fokus yang didasarkan tidak hanya untuk penelitian dan juga teori-teori pengetahuan yang tidak menerbitkan plagiarism. Ruang lingkup jurnal ini adalah teori matematika, matematika terapan, program perhitungan, perhitungan matematika, statistik, dan statistik matematika.
Arjuna Subject : Matematika - Matematika Terapan
Articles 194 Documents
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Analisis Fuzzy C-Means dan Penerapannya Dalam Pengelompokan Kabupaten/Kota di Provinsi Sulawesi Selatan Berdasarkan Faktor-faktor Penyebab Gizi Buruk Wahidah Sanusi; Ahmad Zaki; Besse Nur Afni
Journal of Mathematics, Computations and Statistics Vol. 2 No. 01 (2019): Volume 02 Nomor 01 (April 2019)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

In the analysis of clustering, many groups became an issue. Some researchers chose many groups that match the needs of their research. FCM performs grouping with the principle of minimising its categorization function where one of the parameters is a membership function in fuzzy (as weighing), also known as with fuzzier .This research aimed to study the methods of grouping with Fuzzy C-Means Clustering and its application in the classification of grouping at Regency/City of South Sulawesi based on factors of Causes of Malnutrition i.e. in terms of facilities and health workers, population, economy, and low nutrient intake that is low. From the results of the analysis of the classification with Fuzzy C-Means with 2 clusters with the objective function respectively is 1079141921.2224. When the first group of 18 district while the second group consists of 6 counties.
Matriks Kabur dan Karakteristiknya Muhammad Abdy; Maya Sari Wahyuni; Muh. Hadi Purnomo
Journal of Mathematics, Computations and Statistics Vol. 2 No. 01 (2019): Volume 02 Nomor 01 (April 2019)
Publisher : Jurusan Matematika FMIPA UNM

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This research examines the definitions, operations, and theorems of fuzzy matrices and their characteristics. The literature used as a reference is an article written by Pal (2016), Sidky & Emam (1992), and Suroto & Wardayani (2015). The results can be given improvements to the operations used in the fuzzy matrix and the set of square fuzzy matrix theorems can be extended to fuzzy matrix set theorems. In addition, it was concluded that the set of square fazzy matrix fulfilled the algebraic properties for semigroup and semiring. But it does not fulfill algebraic properties for groups and rings.
Model Regresi Nonparametrik dengan Pendekatan Spline (Studi Kasus: Berat Badan Lahir Rendah di Rumah Sakit Ibu dan Anak Siti Fatimah Makassar) Wahidah Sanusi; Rahmat Syam; Rabiatul Adawiyah
Journal of Mathematics, Computations and Statistics Vol. 2 No. 01 (2019): Volume 02 Nomor 01 (April 2019)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

The non-parametric approach is an approach that is used if the form of the relationship between the response variable and the predictor variable is unknown or the absence of information about the shapes of regression functions. The Spline is a technique performed to estimate the parameters in the nonparametric regression. This study aims to determine the model of the relationship between low birth weight and the factors that affect the based on the spline model. Such factors are maternal age, gestational age, and pregnancy distance. The Data is obtained from the mother and child hospital siti Fatimah Makassar 2017. Where to get a spline model best the initial step is to determine the knots with the value of the Generalized Cross Validation (GCV) which is a minimum. Based on the research that has been done, the two variables stated effect against low birth weight, namely age of mother, and gestational age. Nonparametric regression Model with the approach of the Spline that is formed has a coefficient of determination of 78.19 to%, as well as the value of the GCV with a three-point knot that is 0.0117.
Aplikasi Pewarnaan Graf dengan Algoritma Recursive Largest First pada Penjadwalan Mata Kuliah Rahmat Syam; Hisyam Ihsan; Asman
Journal of Mathematics, Computations and Statistics Vol. 2 No. 01 (2019): Volume 02 Nomor 01 (April 2019)
Publisher : Jurusan Matematika FMIPA UNM

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This research discusses the colorization of graph vertex using algorithm of Recursive Largest First (RLF) in scheduling courses in one of the study programs at one of the universities in Makassar. Representation of problems in scheduling courses was done by making it in the shape of the graph assuming subjects as vertex and the presence of the same lecturers teach different courses as a side. The steps in solving a problem that was mapping the lectures data, representing the lectures data as a graph, forming adjacency matrix, coloring the graph vertex using algorithm of RLF, so that the schedule was retrieved. Scheduling of courses using the colorization of graph vertex with algorithm of RLF as well as the help of VBA for Microsoft Excel 2016 at Faculty of Animal Husbandry obtained 102 vertices with 25 colors indicates that it takes 25 of lecture schedules. The number of vertices that were colored with the same color ≤ 6 vertices meaning in every slot needed 6 lecture rooms in maximum. Scheduled courses are guaranteed that no schedule conflicts for each lecturer of courses taught.
Solusi Persamaan Laplace pada Koordinat Bola Ahmad Zaki; Syafruddin Side; Nurhaeda
Journal of Mathematics, Computations and Statistics Vol. 2 No. 01 (2019): Volume 02 Nomor 01 (April 2019)
Publisher : Jurusan Matematika FMIPA UNM

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This study examines Laplace equations on spherical coordinates and applies variable separation methods in determining Laplace equation solutions Laplace equations are one type of partial differential equation that is widely used to model problems in the field of science. The general form of the Laplace equation in the third dimension in which u is a scalar function using the separation method of the variable is obtained by the third dimension Laplace equation on spherical coordinates. The result of this research get solution of Laplace equation on spherical coordinate in the form of separate variable by not using boundary value. The relationship of cartesian coordinates and spherical coordinates to the Laplace equation can be determined in the Laplace equation and obtain solutions using spherical coordinates.
Matriks Leslie dan Aplikasinya dalam Memprediksi Jumlah dan Laju pertumbuhan Penduduk di Kota Makassar Wahidah Sanusi; Sukarna; Nur Ridiawati
Journal of Mathematics, Computations and Statistics Vol. 1 No. 02 (2018): Volume 01 Nomor 02 (Oktober 2018)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

Population growth is a matter of note, if the population growth is not controlled, it will be difficult for the government to make prosperity. In 2010, In the city of Makassar was recorded 1,339,374 people with a growth rate of 1.65 percent every year. This study aims to predict the number and rate of population growth in Makassar city in 2017 by using Leslie Matrix. The factors which influence the population growth are the fertilit rate, the survival rate, and the age range of the population. The steps taken to predict the number of population p for the next year with using Leslie Matrix are forming a vector column n (t) whose entry is the initial number of population every age class. The second step is obtain the value of n (t + p) which is the population number for the next year p than use the formula n ( t + P) = Ap n (t) with A is the Leslie Matrix. And the last step, specify the dominant eigen value. The results obtained in 2017 predicted a total of 749,090 inhabitants with eigen values λ1=1.01 indicates that growth tends to raise.
Analisis Kestabilan Penyebaran Penyakit Kolera Menggunakan Model SEIRS dengan Vaksinasi dan Faktor Treatment Syafruddin Side; Sukarna; Gita Tri Asfarina
Journal of Mathematics, Computations and Statistics Vol. 1 No. 02 (2018): Volume 01 Nomor 02 (Oktober 2018)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

In this study, the rate of vaccination and treatment than to see the effects on the spread of the disease. In this case, obtained the minimum vaccination and treatment level of the minimum needed for the disease can disappear from the population. For vaccination rates and treatment level above the minimum vaccination and minimum treatment, the greater the rate of vaccination and treatment levels cause the proportion of Susceptible individuals getting smaller, meaning that people with cholera gradually diminishing and the disease will disappear from the population and there is no endemic.
Metode Automatic clustering-fuzzy logical relationships pada Peramalan Jumlah Penduduk di Kota Makassar Muhammad Abdy; Rahmat Syam; Elfira Haryanensi A
Journal of Mathematics, Computations and Statistics Vol. 1 No. 02 (2018): Volume 01 Nomor 02 (Oktober 2018)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

This research is the application of the forecasting method of fuzzy time series which is the method of automatic clustering fuzzy-logical relationships in forecasting the population of Makassar City using secondary data from BPS Makassar city which aims to predicting the population in year 2017-2021. The discussion starting from the determination of the length of the interval, determining the value of the middle length interval, making relations of fuzzy logic, fuzzification, defuzzification, and calculating the error value of the forecasting result by using the method of Mean Absolute Percentage Error. The result of this research shows that the predictions of the population of Makassar City from 2016 to 2017 increased, from 2017 to 2019 decreased, and in 2019-2021 increased with the very good accuracy.
Penerapan Metode Dekomposisi Adomian Laplace Dalam Menentukan Solusi Persamaan Panas Muhammad Abdy; Syafruddin Side; Reza Arisandi
Journal of Mathematics, Computations and Statistics Vol. 1 No. 02 (2018): Volume 01 Nomor 02 (Oktober 2018)
Publisher : Jurusan Matematika FMIPA UNM

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This study discusses the application of Adomian Laplace Decomposition Method (ALDM) in determining the solution of heat equation. Adomian Laplace Decomposition Method is a semi analytical method to solve nonlinear differential equations that combine Laplace transform and Adomian decomposition method. Based on the calculation result, Adomian Laplace decomposition method can approach the settlement of ordinary nonlinear differential equations.
Analisis Moran’s I, Geary’s C, dan Getis-Ord G pada Penerapan Jumlah Penderita Kusta di Kabupaten Gowa Sukarna; Wahidah Sanusi; Hafilah. H
Journal of Mathematics, Computations and Statistics Vol. 2 No. 02 (2019): Volume 02 Nomor 02 (Oktober 2019)
Publisher : Jurusan Matematika FMIPA UNM

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Abstract

Spatial analysis is one of the methods that is often used to observe spreading pattern of infectious diseases. Leprosy is a chronic infectious disease caused by bacterium Mycrobacterium Leprae which spreads through droplets. This study aims to determine the spatial pattern of leprosy using the Quadrat Analysis method, to determine whether there is spatial autocorrelation between regions using Moran's I, Geary’s C, Getis-Ord G, and mapping the spread of leprosy in Gowa Regency. In this study it was found that the spatial patterns of the spread of leprosy in 2016 and 2017 in Gowa Regency was clustered. In 2016 there were spatial autocorrelations with the tests of Moran's I and Geary's C, while the testing of Getis-Ord G did not have spatial autocorrelation between regions. In 2017 there is no spatial autocorrelation between regions using the three tests. In 2016 the vulnerable areas was Barombong, the area that had to be careful with the surrounding areas was Bontonompo and the area included in the safe category was Tompobulu. Whereas in 2017 areas prone to leprosy were Bajeng and Manuju.

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