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Journal : Journal of Mathematics, Computation and Statistics (JMATHCOS)

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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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 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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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.
Fuzzy Linear Programming Dalam Optimalisasi Pelayanan Air Bersih Perusahaan Daerah Air Minum (PDAM) Kab. Jeneponto Menggunakan Metode Sabiha Wahidah Sanusi; Sukarna; Irham Aryandi Basir
Journal of Mathematics, Computations and Statistics Vol. 3 No. 1 (2020): Volume 03 Nomor 01 (April 2020)
Publisher : Jurusan Matematika FMIPA UNM

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Linear fuzzy programing is advance model for linear programing to determin the optimal result that contains fuzzy numbers. Linear Fuzzy programing can be solved using Sabiha’s method. Which is based on real linear fuzzy numbers in triplet numbers form. This paper used linear fuzzy programming model and Sabiha’s method, to determin the optimal solution on PDAM Kab. Jeneponto’s operation plan. Each indicator constructed to optimized objective function and constraint function. Results of this research have optimal solution for each objective variable was obtained with an optimal value for total costumer are 9075,999999999990 from 8896,999999999990 the type of household customer, 96,0000000000112 the type of special social customer, and 82,9999999999982 the type of public social costumer. With an optimal total revenue Rp. 4,753,125,000 and total water demand 1,082,303 m3.
Penggunaan Analisis Biplot dalam Pengelompokan Kabupaten/Kota di Provinsi Sulawesi Selatan Berdasarkan Indikator Kesejahteraan Masyarakat Irwan; Sanusi, Wahidah; Nurani, Kahvi
Journal of Mathematics, Computations and Statistics Vol. 6 No. 2 (2023): Volume 06 Nomor 02 (Oktober 2023)
Publisher : Jurusan Matematika FMIPA UNM

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This study aims to group districts / cities in South Sulawesi Province in 2021 that havesimilarities in community welfare variables using biplot analysis. Biplot analysis is an effort to makeimages in many-dimensional space into images in two-dimensional space, some important informationthat can be obtained are: proximity between observed objects, variable diversity, correlation betweenvariables and variable values of an object. This research uses the SVD (Singular Value Decomposition)method, with a research object of 24 districts / cities in South Sulawesi Province and consists of 13indicator variables. Based on the results of the study, the districts/cities that have similar indicators ofcommunity welfare are divided into 4 groups, group 1 is Makassar City, Pinrang and Luwu Regencies,group 2 is Pangkajene and Islands, Wajo, Takalar, Bulukumba, Soppeng, Bone, Jeneponto, Gowa,Maros, Sirenreng Rappang and Barru, group 3 namely Sinjai, North Luwu, Selayar Islands and Bantaengand group 4 namely Parepare City, Palopo City, Tana Toraja, North Toraja, East Luwu and Enrekang.With the greatest diversity of community welfare indicators are expected years of schooling (X4) andaverage years of schooling (X5). The variables that influence each other and are positively correlated.Namely, expectation of years of schooling (X4) and using a cellular phone (HP) (X12).
Analisis Kekonvergenan pada Barisan Peubah Acak di Ruang Riil Side, Syafruddin; Sanusi, Wahidah; Nurdin, Nur Izzah
Journal of Mathematics, Computations and Statistics Vol. 6 No. 1 (2023): Volume 06 Nomor 01 (April 2023)
Publisher : Jurusan Matematika FMIPA UNM

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This research aims to identify and explain the concepts, asymptotic properties, relationships and applications of four types of convergence of a sequence of random variable, namely convergence almost surely, convergence in probability, convergence in distribution and convergence in mean. The results of the theoretical study shows that these four types of convergence, are closed to arithmetic operations, each subsequence is convergent to the same random variable, remains convergent in the continuous function,and has a relationship between each type, namely: (a) if the sequence of random variable convergent almost surely then this sequence convergent in probability and otherwise if the sequence has a subsequence that convergent almost surely to its limit, (b) if the sequence of random variable convergent in probability then this sequence convergent in distribution and otherwise if the limit is a real constant, (c) if the sequence of random variable convergent in mean then this sequence convergent in probability and otherwise if thesequence is bounded in probability and (d) there is no relationship between convergent in mean and convergent almost surely, and also can be used in proving the Law of Large Number, Central Limit Theorem and limit distribution.
Penyelesaian Persamaan Panas Dimensi Satu dengan Metode Beda Hingga Skema Eksplisit Sanusi, Wahidah; Pratama, Muhammad Isbar; Side, Syafruddin; Fitriyani
Journal of Mathematics, Computations and Statistics Vol. 5 No. 2 (2022): Volume 05 Nomor 02 (Oktober 2022)
Publisher : Jurusan Matematika FMIPA UNM

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This research is a pure research in the form of a theoretical study that aims to determine the solution of the one-dimensional heat equation using the finite difference method explicit scheme and to know the simulation of the one-dimensional heat equation. The explicit schema finite difference method is an alternative method used to solve partial differential equations. The first step in this research is to build and analyze the one-dimensional heat equation. Next, discretize the one-dimensional heat equation by usingnumerical derivatives. Then solve the one-dimensional heat equation using an explicit schema. Finally, using the Matlab program to simulate the solution of the one-dimensional heat equation. The simulation results show that there is a change in temperature from a high temperature to a lower temperature which is influenced by time due to the heat transfer process.
Analisis Survival terhadap Kekambuhan Pasien Penderita Asma menggunakan Pendekatan Counting Process: (Studi Kasus: Balai Besar Kesehatan Paru Masyarakat Makassar) Abdy, Muhammad; Sanusi, Wahidah; Aulia, Hikma
Journal of Mathematics, Computations and Statistics Vol. 5 No. 2 (2022): Volume 05 Nomor 02 (Oktober 2022)
Publisher : Jurusan Matematika FMIPA UNM

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Survival analysis or survival analysis is a set of statistical procedures to analyze data with the time until a particular event occurs as a response variable. Observe events such as death and recurrence of the disease. Survival analysis used for recurring data is the counting process approach for identic and stratified cox recursion events for non-identical recursion events. An example of identic recursion data is patient recurrence data of non-communicable diseases such as asthma. The type of research carried out is applied research with a quantitative approach, namely by taking or collecting the necessary data and analyzing it using the counting process approach method. The counting process approach method is a specific method used for identical reccuring event, each recurring event will be counted as a new and independent event. The variables used in the study were Time, Status, Gender, Age, Smoker, Allergies, Obesity, and Atopic History. Based on the results of this study, it was found that the factors of gender, age, and atopic history had an effect on the recurrence of asthmatic patients with a significance level of less than 10%.
Pengelompokan Daerah Rawan Kriminalitas di Sulawesi Selatan Menggunakan Metode K-means Clustering Irwan, Irwan; Sanusi, Wahidah; Saman, Febriyanto
Journal of Mathematics, Computations and Statistics Vol. 5 No. 1 (2022): Volume 05 Nomor 01 (April 2022)
Publisher : Jurusan Matematika FMIPA UNM

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This research is an applied research that emphasizes how to carry out cluster analysis mathematically, knowing how to apply k-means clustering, and the characteristics of each group of crime-prone areas. The simulation data used in this study is data obtained from the Central Statistics Agency (BPS) of South Sulawesi Province. The data was then analyzed by the K-means clustering method. The results of the study show that there are four characteristics of each group of crime-prone areas in South Sulawesi. Group 1 is categorized as a crime-safe area, Group 2 is categorized as a crime-prone area, group 3 is categorized as a crime-safe area, and group 4 is categorized as an area that is quite prone to crime.
Model Generalized Poisson Regression (GPR) dan Penerapannya pada Angka Pengangguran bagi Penduduk Usia Kerja di Provinsi Sulawesi Selatan Ihsan, Hisyam; Sanusi, Wahidah; Ulfadwiyanti, Risna
Journal of Mathematics, Computations and Statistics Vol. 3 No. 2 (2020): Volume 03 Nomor 02 (Oktober 2020)
Publisher : Jurusan Matematika FMIPA UNM

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This study discusses the formation of the Generalized Poisson Regression (GPR) model and its application to the unemployment rate for the working age population in South Sulawesi Province. This type of research is applied research that uses the Poisson regression model, namely Poisson regression and GPR models. The response variabel used is the total unemployment rate at working age which includes the workforce in South Sulawesi Province in 2017. The predictor variables used are the percentage of the workforce on the working age population, the Human Development Index, the percentage of work on the labor force, population density, and economic growth. This research uses the Maximum Likelihood Estimation (MLE) method to estimate parameters and produce a GPR model. The predictor variables which have a significant influence are the Human Development Index and the percentage of work on the labor force.
Suatu Kajian Tentang B-Aljabar Sanusi, Wahidah; Abdy, Muhammad; Sidjara, Sahlan; Asni, Asriani Arsita
Journal of Mathematics, Computations and Statistics Vol. 3 No. 2 (2020): Volume 03 Nomor 02 (Oktober 2020)
Publisher : Jurusan Matematika FMIPA UNM

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This research is a literature studies that aims at reviewing the concepts and properties of B-Algebras. The concept of B-Algebras in this article is based on research that has been done by Neggers and Kim and Allen. All discussions in this article use the firm sets, both finite sets and infinite sets. As a result, more complete evidence of the properties of B-Algebras can be given and its relationship with the group. A group with a specific operation and has as an identity element is a B-Algebras. Moreover, a number of group theorems can be derived into B-Algebra such as natural mapping and the First Isomorphism Theorems which in their proof have similarities to the proofs of groups while still using the properties of B-Algebra itself.
Co-Authors A. Armansyah AHMAD FAUZAN RIDHA SUJIONO Ahmad Yani Ahmad Yani Ahmad Yani AHMAD ZAKI Ahmad Zaki Ahmad Zaki Ahmad Zaky Alimuddin Alimuddin Tampa Amal Amal Amal Amal Amal Arfan, Amal Amni Rasyidah Andi Abidah Andi Diki Nurbaldatun Islam Andini, Reski Anggi Ananda Putri Annas, Suwardi Arkas, Amaliah Nurul Asdar Asdar Asdar Asmi, Nurul Asni, Asriani Arsita Asriani Arsita Asni Aswi, Aswi Aswi, Aswi Aulia, Hikma Awi Dassa Beby Fitriani Besse Nur Afni Besse Nur Afni Bohari, Nurul Aulia Diki Nurbaldatun Islam Elma Selviana Darwis Febriyanto Saman Fitriyani Fitriyani Fitriyani Folorunso, Serifat Adedamola H. Hasriani Hafilah Hardiono Hafilah. H Harisahani, Nur Hasan Basri Hasanah, Afifatun Hasnawiyah, Hasnawiyah Hasriani Hikma Aulia Hisyam Ihsan Ihsan U, Wa Irma Al Ika Pratiwi Ilham Minggi Irham Aryandi Basir Irham Aryandi Basir Irma Aswani Ahmad, Irma Aswani Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Janide, Anugrah Kahvi Nurani Kaito, Nurlaila Katrina Pareallo Lisca Palerina Mudinillah, Adam Muh. Idris Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Arif Tiro, Muhammad Arif Muhammad Danial Muhammad Danial Muhammad Danial Muhammad Farhan Muhammad Isbar Pratama Muhammad Rakib Muhammad Rakib Muhammad Rakib Muhammad Syahrir Muhjria, Muhjria Mukarram, Trys Musliati Musliati Mustati'atul Waidah Maksum N Nurfadillah N Nurwakia Nasrullah Nasrullah Nirwana, St. Risma Ayu Nur Anny S. Taufieq Nur Anny S. Taufieq Nur Anny S. Taufieq Nur Anny Suryaningsih Taufieq Nur Fajri Setiawan Nur Hikmayanti Syam Nur Khaerati Rustan Nur Ridiawati Nur Ridiawati Nurani, Kahvi Nurazizah Nurdin, Nur Izzah Nurfadillah Nurhilaliyah Nurhilaliyah Nurul Aulia Bohari Nurul Aulia Bohari Nurul Fadilah Syahrul Oktaviana Oktaviana Padjalangi, Andi Muhammad Ridho Yusuf Sainon Andi Patasik, Ghadytha Marie Lucia Pertiwi, Ika Pince Salempa R. Rusli Rabiatul Adawiyah Rabiatul Adawiyah Rahman, Muhammad Fatur Rahmat Setiawan Rahmat Syam Rahmawati, Rahmawati Reski Andini Risna Ulfadwiyanti Rosidah Rosidah Ruliana Rustan, Nur Khaerati S Sukmawati Sahlan Sidjara Sahlan Sidjara Saiful Bahri Saiful Bahri Saman, Febriyanto Sari, Yulfiana Serly Diliyanti Restu Ningsih Serly Diliyanti Restu Ningsih Setiawan, Nur Fajri Sidjara, Sahlan Siti Helmyati Sudarmin Sudarmin Sukarna Sukarna Sukarna Sukarna Sukarna Sukarna Sukarna Sulaiman Sulaiman Suwardi Annas Syafruddin Side SYahnur, Andi Aulia Syuhri, Ajrian Takdir, Nurfajri Hamdani Talib, Dr. Ahmad Tampa, Alimuddin Taty Sulastri Taty Sulastri Taty Sulastri Thaha, Irwan Trys Mukarram Ulfadwiyanti, Risna Usman Mulbar Utami Priono Wahyuliani, Dwi Wahyuni, Maya Sari Wulandari, Natalia Puspita Yusuf S.A.P., Andi Muh. Ridho