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Image X-Ray Classification for COVID-19 Detection Using GCLM-ELM 基于GCLM-ELM的COVID-19图像x射线分类
Mantik Jurnal Matematika Pub Date : 2021-01-01 DOI: 10.15642/mantik.2021.7.1.74-85
Vivin Umrotul M. Maksum, D. C. R. Novitasari, Abdul Hamid
{"title":"Image X-Ray Classification for COVID-19 Detection Using GCLM-ELM","authors":"Vivin Umrotul M. Maksum, D. C. R. Novitasari, Abdul Hamid","doi":"10.15642/mantik.2021.7.1.74-85","DOIUrl":"https://doi.org/10.15642/mantik.2021.7.1.74-85","url":null,"abstract":"COVID-19 is a disease or virus that has recently spread worldwide. The disease has also taken many casualties because the virus is notoriously deadly. An examination can be carried out using a chest X-Ray because it costs cheaper compared to swab and PCR tests. The data used in this study was chest X-Ray image data. Chest X-Ray images can be identified using Computer-Aided Diagnosis by utilizing machine learning classification. The first step was the preprocessing stage and feature extraction using the Gray Level Co-Occurrence Matrix (GLCM). The result of the feature extraction was then used at the classification stage. The classification process used was Extreme Learning Machine (ELM). Extreme Learning Machine (ELM) is one of the artificial neural networks with advanced feedforward which has one hidden layer called Single Hidden Layer Feedforward Neural Networks (SLFNs).  The results obtained by GLCM feature extraction and classification using ELM achieved the best accuracy of 91.21%, the sensitivity of 100%, and the specificity of 91% at 135° rotation using linear activation function with 15 hidden nodes.","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90046468","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Interactive Virtual Reality For Fun Mathematics Learning With Deep Understanding At SMP Swasta Ar-Rahman Percut 互动虚拟现实的乐趣数学学习与深刻的理解在SMP Swasta - rahman Percut
Mantik Jurnal Matematika Pub Date : 2021-01-01 DOI: 10.35335/jurnalmantik.v5i3.1591
H. Mawengkang, S. Efendi, M. Firdaus
{"title":"Interactive Virtual Reality For Fun Mathematics Learning With Deep Understanding At SMP Swasta Ar-Rahman Percut","authors":"H. Mawengkang, S. Efendi, M. Firdaus","doi":"10.35335/jurnalmantik.v5i3.1591","DOIUrl":"https://doi.org/10.35335/jurnalmantik.v5i3.1591","url":null,"abstract":"This partnership program was intended to solve problems that arose at SMP Swasta Ar-Rahman Percut such as the lack of teacher skills in developing learning media to foster students’ motivation and implementing online teaching that optimizes the use of technology. In the context of online learning, such difficulties will increase. The solutions offered were training through workshops on the development of interactive virtual reality (VR) using OpenSpace3D and assistance in the implementation. Five stages: Learn, Teach, Evaluate, Acknowledge, and Fostering in the method were held sequentially. Adult learning principles, focusing on experiential learning and self-motivation, were applied to encourage participants and instructors to actively participate. Results showed that the program has made a significant impact on teachers' skills in developing and implementing interactive VR in fun mathematics online learning.","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"70 6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77466205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence, Uniqueness, and Stability Solutions of Nonlinear System of Integral Equations 非线性积分方程组的存在性、唯一性和稳定性解
Mantik Jurnal Matematika Pub Date : 2020-10-31 DOI: 10.15642/mantik.2020.6.2.76-82
Rizgar Issa Hasan
{"title":"Existence, Uniqueness, and Stability Solutions of Nonlinear System of Integral Equations","authors":"Rizgar Issa Hasan","doi":"10.15642/mantik.2020.6.2.76-82","DOIUrl":"https://doi.org/10.15642/mantik.2020.6.2.76-82","url":null,"abstract":"The aim of this work is to study the existence, uniqueness, and stability solutions of a new nonlinear system of integral equation by using Picard approximation (successive approximation) method and Banach fixed point theorem. The study of such nonlinear integral equations is more general and leads us to improve to extend the result of Butris. Theorems on the existence and uniqueness of a solution are established under some necessary and sufficient conditions on closed and bounded domains (compact spaces).","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"37 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80754853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Analysis Infiltration Waters in Various Forms of Irrigation Channels by Using Dual Reciprocity Boundary Element Method 用双互易边界元法分析不同形式灌渠入渗水量
Mantik Jurnal Matematika Pub Date : 2020-05-31 DOI: 10.15642/mantik.2020.6.1.52-65
A. Nurhasanah, Muhammad Manaqib, Irma Fauziah
{"title":"Analysis Infiltration Waters in Various Forms of Irrigation Channels by Using Dual Reciprocity Boundary Element Method","authors":"A. Nurhasanah, Muhammad Manaqib, Irma Fauziah","doi":"10.15642/mantik.2020.6.1.52-65","DOIUrl":"https://doi.org/10.15642/mantik.2020.6.1.52-65","url":null,"abstract":"This research discusses the infiltration of furrow irrigation invarious forms of irrigation channels in homogeneous soils. The governing equation of the problems is a Richard’s Equation. This equation is transformed using a set of transformation including Kirchhoff and dimensionless variables into Helmholtz modified equations. Furthermore with Dual Reciprocity Boundary Element Method (DRBEM), numerical solution of modified Helmholtz equation obtained. The proposed method is tested on problem involved infiltration from periodic flat channels, non-flat channels without impermeable and non-flat channels with impermeable. The greatest value of suction potential and water content is located below the channel surface. The most water consecutively is a non-flat channel without impermeable, non-flat channel with impermeable and flat channel on Lakish Clay soils. \u0000 ","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"44 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78717144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Comparison Between Zero Point and Zero Suffix Methods in Fuzzy Transportation Problems 模糊运输问题中零点法与零后缀法的比较
Mantik Jurnal Matematika Pub Date : 2020-05-30 DOI: 10.15642/mantik.2020.6.1.38-46
P. T. Ngastiti, B. Surarso, Sutimin Sutimin
{"title":"Comparison Between Zero Point and Zero Suffix Methods in Fuzzy Transportation Problems","authors":"P. T. Ngastiti, B. Surarso, Sutimin Sutimin","doi":"10.15642/mantik.2020.6.1.38-46","DOIUrl":"https://doi.org/10.15642/mantik.2020.6.1.38-46","url":null,"abstract":"Transportation is discussing the problems of distribution items from a source to a destination with an aim to minimize transportation costs. The problem of fuzzy transport is the cost of transportation, supply, and demand with a quantity of fuzzy. The purpose of the research is a study of a comparison of theories from the zero-point method and the zero-suffix method in determining the optimal solution on cost transportation. Based on the result of the theoretical comparison, it can be concluded that the process of using the zero-suffix method is shorter in determining an optimal solution in 6 steps than that of a zero-point method in 11 steps. For achieving the optimal value shows that for zero-suffix the method of occurrence iteration in the sixth step, but for the zero-point method the iteration occurs in the ninth step. The results in the numerical comparison we conclude the distribution cost using two methods is the same, based on the demand and supply obtained 7 times iteration and 7 items allocation for zero point method, while 6 times iteration and 7 items allocation for zero suffix method.","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85865696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Application of Expectation-Maximization (EM) Algorithm in Grouping Popularity Tourism Objects in Malang Raya Based on Indicator of Many Visitors 基于游客数量指标的期望最大化算法在玛琅拉雅热门旅游对象分组中的应用
Mantik Jurnal Matematika Pub Date : 2019-10-31 DOI: 10.15642/mantik.2019.5.2.123-134
N. Atikah
{"title":"Application of Expectation-Maximization (EM) Algorithm in Grouping Popularity Tourism Objects in Malang Raya Based on Indicator of Many Visitors","authors":"N. Atikah","doi":"10.15642/mantik.2019.5.2.123-134","DOIUrl":"https://doi.org/10.15642/mantik.2019.5.2.123-134","url":null,"abstract":"Malang Metropolitan Area is one of the areas in East Java which is a leading tourism destination in Indonesia with Batu Tourism City (Kota Wisata Batu) as the center. Considering the development of tourism in Malang, it is necessary to do a grouping of the popularity of tourism objects so that it can be used as a reference for making policy by the tourism department and tourism management. In this article, the grouping is analyzed by using the method of grouping the Expectation Maximation (EM) algorithm. The data used is secondary data obtained from BPS data, namely data of many tourism visitors in Malang Raya. The results of the grouping the popularity of leading tourism objects in Malang are based on indicators of the number of visitors divided into five groups, there are Group 1: Selecta; Group 2: Balekambang, Pemandian Wendit and Wisata Oleh-Oleh Brawijaya; Group3: Museum Angkut, Coban Rondo,  Museum Satwa, Jatim Park, BNS, Petik Apel “Makmur Abadi and Agro Kebun Teh Wonosari; Group 4: Kusuma Agro Wisata, Kampoeng Kidz, Air Panas Cangar, Eco Green Park, Predator Fun Park, Wana Wisata Coban Rais, Gunung Banyak, Mahajaya T-Shirt & Oleh-oleh, Ngliyep and Bendungan Selorejo; Group 5: Vihara “Dammadhipa Arama”, Rafting “Kaliwatu”, Batu Rafting, Wana Wisata Coban Talun, Pemandian Tirta Nirwana, Pemandian Air Panas Alam Songgoriti, Wonderland Waterpark, Sahabat Air Rafting, Petik Apel Mandiri, Batu Agro Apel, Kampung Wisata.","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"15 17","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72536462","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modeling of Indonesia Composite Index using Artificial Neural Network and Multivariate Adaptive Regression Spline 基于人工神经网络和多元自适应样条回归的印尼综合指数建模
Mantik Jurnal Matematika Pub Date : 2019-10-27 DOI: 10.15642/mantik.2019.5.2.112-122
Mutia Yollanda, D. Devianto, Putri Permathasari
{"title":"Modeling of Indonesia Composite Index using Artificial Neural Network and Multivariate Adaptive Regression Spline","authors":"Mutia Yollanda, D. Devianto, Putri Permathasari","doi":"10.15642/mantik.2019.5.2.112-122","DOIUrl":"https://doi.org/10.15642/mantik.2019.5.2.112-122","url":null,"abstract":"The Indonesian Composite Stock Price Index is an indicator of changes in stock prices are a guide for investors to invest in reducing risk. Fluctuations in stock data tend to violate the assumptions of normality, homoscedasticity, autocorrelation, and multicollinearity. This problem can be overcome by modelling the Composite Stock Price Index uses an artificial neural network (ANN) and multivariate adaptive regression spline (MARS). In this study, the time-series data from the Composite Stock Price Index starting in April 2003 to March 2018 with its predictor variables are crude oil prices, interest rates, inflation, exchange rates, gold prices, Down Jones, and Nikkei 225. Based on the coefficient of determination, the determination coefficient of ANN is 0.98925, and the MARS determination coefficient is 0.99427. While based on the MAPE value, MAPE value of ANN was obtained, namely 6.16383 and MAPE value of MARS, which was 4.51372. This means that the ANN method and the good MARS method are used to forecast the value of the Indonesian Composite Stock Index in the future, but the MARS method shows the accuracy of the model is slightly better than ANN.","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"13 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91213003","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The local antimagic on disjoint union of some family graphs 一些族图不相交并的局部反幻
Mantik Jurnal Matematika Pub Date : 2019-10-27 DOI: 10.15642/mantik.2019.5.2.69-75
M. Marsidi, I. H. Agustin
{"title":"The local antimagic on disjoint union of some family graphs","authors":"M. Marsidi, I. H. Agustin","doi":"10.15642/mantik.2019.5.2.69-75","DOIUrl":"https://doi.org/10.15642/mantik.2019.5.2.69-75","url":null,"abstract":"A graph  in this paper is nontrivial, finite, connected, simple, and undirected. Graph  consists of a vertex set and edge set. Let u,v be two elements in vertex set, and q is the cardinality of edge set in G, a bijective function from the edge set to the first q natural number is called a vertex local antimagic edge labelling if for any two adjacent vertices and , the weight of  is not equal with the weight of , where the weight of  (denoted by ) is the sum of labels of edges that are incident to . Furthermore, any vertex local antimagic edge labelling induces a proper vertex colouring on where  is the colour on the vertex . The vertex local antimagic chromatic number  is the minimum number of colours taken over all colourings induced by vertex local antimagic edge labelling of . In this paper, we discuss about the vertex local antimagic chromatic number on disjoint union of some family graphs, namely path, cycle, star, and friendship, and also determine the lower bound of vertex local antimagic chromatic number of disjoint union graphs. The chromatic numbers of disjoint union graph in this paper attend the lower bound.","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"99 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90577901","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Use of Ant Colony Optimization Algorithm for Determining Traveling Salesman Problem Routes 利用蚁群优化算法确定旅行商问题路线
Mantik Jurnal Matematika Pub Date : 2019-10-27 DOI: 10.15642/mantik.2019.5.2.100-111
B. P. Silalahi, Nur Fathiah, Prapto Tri Supriyo
{"title":"Use of Ant Colony Optimization Algorithm for Determining Traveling Salesman Problem Routes","authors":"B. P. Silalahi, Nur Fathiah, Prapto Tri Supriyo","doi":"10.15642/mantik.2019.5.2.100-111","DOIUrl":"https://doi.org/10.15642/mantik.2019.5.2.100-111","url":null,"abstract":"Ant Colony Optimization is one of the meta-heuristic methods used to solve combinatorial optimization problems that are quite difficult. Ant Colony Optimization algorithm is inspired by ant behavior in the real world to build the shortest path between food sources and their nests. Traveling Salesman Problem is a problem in optimization. Traveling Salesman Problem is a problem to find the minimum distance from the initial node to the whole node with each node must be visited exactly once and must return to the initial node. Traveling Salesman Problem is a non-deterministic polynomial-time complete problem. This research discusses the solution of the Traveling Salesman Problem using the Ant Colony Optimization algorithm and also using the exact algorithm. The results showed that the greater the size of the Traveling Salesman Problem case, the longer the execution time required. The results also showed that the execution times of the Ant Colony Optimization are much faster than the execution time of the exact method.","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"82 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83121293","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
Schanuel's Lemma in P-Poor Modules p -穷模中的Schanuel引理
Mantik Jurnal Matematika Pub Date : 2019-10-27 DOI: 10.15642/mantik.2019.5.2.76-82
Iqbal Maulana
{"title":"Schanuel's Lemma in P-Poor Modules","authors":"Iqbal Maulana","doi":"10.15642/mantik.2019.5.2.76-82","DOIUrl":"https://doi.org/10.15642/mantik.2019.5.2.76-82","url":null,"abstract":"Modules are a generalization of the vector spaces of linear algebra in which the “scalars” are allowed to be from a ring with identity, rather than a field. In module theory there is a concept about projective module, i.e. a module over ring R in which it is projective module relative to all modules over ring R. Next, there is the fact that every module over ring R is projective module relative to all semisimple modules over ring R. If P is a module over ring R which it’s projective relative only to all semisimple modules over ring R, then P is called p-poor module. In the discussion of the projective module, there is a lemma associated with the equivalence of two modules K1 and K2 provided that there are two projective modules P1 and P2 such that is isomorphic to . That lemma is known as Schanuel’s lemma in projective modules. Because the p-poor module is a special case of the projective module, then in this paper will be discussed about Schanuel’s lemma in p-poor modules","PeriodicalId":32704,"journal":{"name":"Mantik Jurnal Matematika","volume":"49 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80316335","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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