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Mathematics Department, Faculty of Science and Technology UIN Sunan Ampel Surabaya Jl. A. Yani no 117 Surabaya, Jawa Timur, Indonesia
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Jawa timur
INDONESIA
Jurnal Matematika: MANTIK
Published by Universitas Islam Negeri Sunan Ampel
ISSN : 25273159     EISSN : 25273167     DOI : 10.15642/mantik
Core Subject : Education,
Mathematics
Jurnal Matematika MANTIK is a mathematical journal published biannually by the Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya. Journal includes research papers, literature studies, analysis, and problem-solving in Mathematics (Algebra, Analysis, Statistics, Computing and Applied).
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Articles 9 Documents
 1 
Search results for , issue "Vol. 8 No. 1 (2022): April - June" : 9 Documents clear
The Implementation of Rough Set on A Group Structure Ananto Adi Nugraha; Fitriani Fitriani; Muslim Ansori; Ahmad Faisol
Jurnal Matematika MANTIK Vol. 8 No. 1 (2022): April - June
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2022.8.1.45-52

Abstract

Let be a non-empty set and an equivalence relation on . Then, is called an approximation space. The equivalence relation on forms disjoint equivalence classes. If , then we can form a lower approximation and an upper approximation of . If X⊆U, then we can form a lower approximation and an upper approximation of X. In this research, rough group and rough subgroups are constructed in the approximation space for commutative and non-commutative binary operations.
Grouping of the Second Wave of Covid-19 Infection Areas in East Java Province Using K-Means Clustering Fadilah Akbar; Edo Leonardo Dekapriyo; Achmad Murtafi Haris; Agoes Moh. Moefad
Jurnal Matematika MANTIK Vol. 8 No. 1 (2022): April - June
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2022.8.1.53-62

Abstract

The second wave of Covid-19 Pandemic Attacks that occurred in June 2021 resulted in a drastic number of fatalities. This is due to reduced community responsibility, a sense of caring for each other, and a sense of mutual protection, resulting in the loosening of the health protocols implemented. There needs to be proper mitigation to handle the Covid-19 pandemic properly, one of which is by handling cases in each region with a low level of severity. With this grouping, it can provide a decision on which areas must be available in mitigating the Covid-19 pandemic. For grouping each region, the K-Means Clustering method can be used. From these clusters, there is one area with a severity level, eight areas with moderate severity, and 29 areas with low severity.
Rarity of Joint Probability Between Interest and Inflation Rates in the 1998 Economic Crisis in Indonesia and Their Comparison Over Three Time Periods Mohamad Khoirun Najib; Sri Nurdiati; Faiqul Fikri
Jurnal Matematika MANTIK Vol. 8 No. 1 (2022): April - June
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2022.8.1.10-17

Abstract

After more than twenty years, there has been no economic crisis as severe as 1998 based on inflation and interest rates. It is interesting to compare the conditions before and after the 1998 crisis and the economic conditions in the last decade in Indonesia. Therefore, this study aims to analyze the relationship between inflation and interest rates using a copula-based joint distribution. The joint return period of the 1998 economic crisis is estimated from this joint distribution. The results showed that the Gumbel copula is the most suitable bivariate copula to construct a joint distribution between inflation and interest rates in 1990-2019, with an upper tail dependency of 0.6224. Moreover, the joint return period between inflation and interest rates more severe than 1998 is 389 years with a 95% confidence interval of [47, ∞] years. This result is uncertain because many factors affect inflation and interest rates. The inflation rate decreased after the 1998 crisis. Meanwhile, in the last decade, the inflation and interest rates were much lower than in the two previous periods.
A Functional Form of The Zenga Curve Based on Rohde’s Version of the Lorenz Curve Muhammad Fajar; Setiawan; Nur Iriawan; Eko Fajariyanto
Jurnal Matematika MANTIK Vol. 8 No. 1 (2022): April - June
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2022.8.1.63-67

Abstract

The Zenga curve is a tool to measure income inequality that represents the income ratio between the bottom income group and the top income group. A proper Zenga curve is a Zenga curve that can detect variations in the Ratio. In this paper, we derive the functional form of the Zenga curve from Rohde's Lorenz curve model. The result of this paper is that the functional form of the Zenga curve from Rohde's version of the Lorenz curve model is a constant. It cannot represent the truly happening phenomenon of inequality.
Ideal Data to Determine Accurate Fajr Time Adi Damanhuri; Akhmad Mukarram
Jurnal Matematika MANTIK Vol. 8 No. 1 (2022): April - June
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2022.8.1.28-35

Abstract

Early fajr time research was carried out by various parties with various techniques, one of which was using a sky quality meter (SQM) photometric tool. Observational data from various regions that have varying night levels result in a varying early fajr time as well. By paying attention to the effect of sky quality represented by the night level at the observation location, this research wants to answer whether the 20 mpsas night level limit is ideal data by looking at the correlation coefficient between night level and the turning point solution. From 1068 data with varying night levels, the correlation coefficient ( ) between the night level and the turning point solution is 0,42 which means there is an effect, while for data with a minimum night level of 20mpsas the correlation coefficient is 0,07 which means there is no influence. Based on the results of the analysis, the night level of 20mpsas can be the minimum limit for conducting an ideal early fajr time research. From 241 ideal observation data from 6 LAPAN observation stations, early fajr time presents when the Sun's elevation angle is -16,51°. Early fajr time is also the beginning of subuh prayer time, with its standard used in Indonesia, which is -20° or 3,49° different from the analysis results, if it is converted there is a difference of 13 minutes 57 seconds.
Palindromes in Some Smarandache-Type Functions Hary Gunarto; S.M.S. Islam; A.A.K. Majumdar
Jurnal Matematika MANTIK Vol. 8 No. 1 (2022): April - June
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2022.8.1.1-9

Abstract

The objective of this paper is to investigate palindromes in three Smarandache-type arithmetic functions,namely, the Smarandache function S(n), the pseudo Smarandache function Z(n), and the Sandor-Smarandache function SS(n).
Application of Machine Learning for Heart Disease Classification Using Naive Bayes Siti Hadijah Hasanah
Jurnal Matematika MANTIK Vol. 8 No. 1 (2022): April - June
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2022.8.1.68-77

Abstract

The Naive Bayes classifier uses an approximation of a Bayes theorem by combining previous knowledge with new ones. The purpose of this research is to develop machine learning using Naive Bayes classification techniques and as a decision system in producing fast and accurate classification accuracy in diagnosing cardiovascular diseases such as heart disease. Cardiovascular disease is the leading cause of death, 32% of all global deaths, of which 85% are caused by stroke and heart disease. Based on the results of the analysis, it was found that the accuracy of classification accuracy in the training data on patient data was classified as having and not having heart disease, respectively 83,21% and 83,1%. In data testing, the percentage of patient data classified as having and not having heart disease was 83,78% and 87,50%, respectively. Based on the AUC values ​​in the training data and testing data, they are 83,15% and 85,24%, respectively. So, from these results, it can be concluded that the Naive Bayes method is good for classifying heart disease patient data.
Dynamics of SARS-CoV-2 Spread Model with Vaccine Administration and Use of Masks Khofifah Ichawati; Budi Priyo Prawoto
Jurnal Matematika MANTIK Vol. 8 No. 1 (2022): April - June
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2022.8.1.18-27

Abstract

The purpose of this study was to construct and determine the dynamics of the mathematical model of the reach of SARS-CoV-2 with the provision of vaccines and the use of masks. In this study, the modified SEIR model was used with the stages of conducting a literature study on mathematical modeling of the SARS-CoV-2 virus, compiling initial assumptions, making compartment diagrams, constructing mathematical models, determining equilibrium points, determining basic reproduction numbers, conducting stability analysis and synchronization of analysis results by performing numerical simulations. In this study, two equilibrium points were obtained the disease-free equilibrium point and the endemic equilibrium point. Using the basic reproduction number, we get the stability conditions for the disease-free point and the endemic point. When the disease-free point is stable, SARS-CoV-2 will disappear from the population, while when the disease-free point unstable, SARS-CoV-2 will be exist’s in the population.
Relation of Morrey Sequence Spaces, Weak Type Morrey Sequence Spaces, and Sequence Spaces Pragasto Aji Hendro Puadi; Eridani; Abdulloh Jaelani
Jurnal Matematika MANTIK Vol. 8 No. 1 (2022): April - June
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15642/mantik.2022.8.1.36-44

Abstract

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