CAUCHY: Jurnal Matematika Murni dan Aplikasi
https://ejournal.uin-malang.ac.id/index.php/Math
<h3>CAUCHY: Jurnal Matematika Murni dan Aplikasi</h3><p><span lang="id"><span class="hps"><strong>p-ISSN: <a href="https://issn.brin.go.id/terbit/detail/1255061534" target="_blank">2086-0382</a> | e-ISSN: <a href="https://issn.brin.go.id/terbit/detail/1447468580" target="_blank">2477-3344</a></strong></span></span><strong></strong></p><p><strong><span lang="id"><span class="hps"><br /></span></span></strong><span id="result_box" lang="en"> <strong>CAUCHY: Jurnal Matematika Murni dan Aplikasi</strong> <span>is a</span> <span>mathematical international journal</span> <span>published</span> <span>twice a year</span> <span>in May</span> <span>and</span> <span>November</span> <span>by</span> <span>the Mathematics</span> Department, F<span>aculty of</span> <span>Science</span> <span>and</span> T<span>echnology, </span><span>Universitas Islam Negeri Maulana Malik Ibrahim Malang</span></span></p><p><span id="result_box" lang="en"><strong>CAUCHY: Jurnal Matematika Murni dan Aplikasi </strong><span><strong>has been accredited Second Grade " SINTA 2" Ministry of Research and Technology/National Agency for Research and Innovation, Republic of Indonesia</strong></span><strong> (<a title="SK Akreditasi Jurnal 2020" href="https://drive.google.com/open?id=1v2Hrnf5azymhkZJRR4Jdqy_CoNTjtyjS" target="_blank">SK: 85/M/KPT/2020) since April 1, 2020</a>.</strong></span></p><p><span lang="en">We welcome authors for original articles (research), review articles, interesting case reports, special articles illustrations that focus on the <strong>Pure and Applied <strong>Mathematics.</strong></strong></span></p><p>Subjects suitable for publication include, the following fields of:</p><ul><li>Fuzzy Systems and its Applications</li><li>Geometry Theories and its Applications</li><li>Graph Theories and its Applications</li><li>Real Analysis and its Applications </li><li>Operation Research and its Applications</li><li>Statistical Theories and its Applications</li><li>Dinamical Systems and its Applications</li><li>Mathematical Modeling and its Applications</li><li>Discrete Mathematics and its Applications</li><li>Computer Mathematics and its Applications</li><li>Actuarial Mathematics and its Applications</li></ul><p><span lang="en"><span><strong>Journal History</strong><br />CAUCHY: Jurnal Matematika Murni dan Aplikasi has several changes and updates in its history as follows: 1). On 2009-2012, the cover color was changed from yellow to purple; 2). On 2013-2015, it used two-column system for the layout; 3). From 2016, it uses one-column layout and each article submitted to CAUCHY has to be written in English.</span></span></p><strong><span lang="en"><span id="result_box" lang="en"><span id="result_box" lang="en"><span> <a href="http://s1153.photobucket.com/user/joehari1/media/new1.gif.html" target="_blank"><img src="http://i1153.photobucket.com/albums/p503/joehari1/new1.gif" alt=" photo new1.gif" border="0" /></a> </span></span></span><span id="result_box" lang="en"><span id="result_box" lang="en"><span>Starting from Vol</span><span>.</span> <span>4 No.</span> <span>2</span> <span>(2016)</span> <span>CAUCHY: Jurnal Matematika Murni dan Aplikasi</span> <span>use a new layout template</span></span><br /></span></span></strong><p>Registration and article submission guidelines can be downloaded <a href="https://goo.gl/crrzlC" target="_blank">here</a>.</p><p><span lang="id"><span class="hps"><br /></span></span></p>Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malangen-USCAUCHY: Jurnal Matematika Murni dan Aplikasi2086-0382<p>Authors who publish with this journal agree to the following terms:</p><ol><li>Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a <a href="http://creativecommons.org/licenses/by-sa/4.0/" rel="license">Creative Commons Attribution-ShareAlike 4.0 International License</a> (CC-BY-SA 4.0) that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.</li><li>Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.</li><li>Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See <a href="http://opcit.eprints.org/oacitation-biblio.html" target="_new">The Effect of Open Access</a>).</li></ol>Front-Matter
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/26976
Front Matter
Copyright (c) 2024 Front Matter
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2024-05-162024-05-169110.18860/ca.v9i1.26976Back-Matter
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/26977
Back Matter
Copyright (c) 2024 Back Matter
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2024-05-162024-05-169110.18860/ca.v9i1.26977Inclusive Local Irregularity Vertex Coloring In Grid Graph Family
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/20947
<p>Let is a simple graph and connected where is vertex set and is edge set. A maping as vertex k- labeling and function : is inclusive local irregularity vertex coloring, with . The minimum number of colors produced from inclusive local irregularity vertex coloring of graph is called inclusive chromatic number local irregularity, denoted by . On this paper, we learn about the inclusive local irregularity vertex coloring and determine the chromatic number on grid graph family.</p>Arika Indah KristianaAlvian Bagus AgathaSaddam HussenRafiantika Megahnia PrihandiniRidho AlfarisiM. Kamran Siddiqui
Copyright (c) 2024 Arika Indah Kristiana
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2024-05-162024-05-169111310.18860/ca.v9i1.20947LQR and Fuzzy-PID Control Design on Double Inverted Pendulum
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/22070
Double inverted pendulum is a non-linear and unstable system. Double inverted pendulum can be stabilized in the upright position by providing control to the system. In this research we compare two types of controllers namely Linear Quadratic Regulator (LQR) and Fuzzy-PID. The objective is to determine the control strategy that provides better performance on the position of the cart and pendulum angle. We modelled the system which is then linearized and given control. From the simulation results, it is proven that LQR and Fuzzy-PID controllers have been successfully designed to stabilize the double inverted pendulum. However, when given a disturbance in the form of noise step, the LQR controller has not been able to achieve the desired reference for up to 20 seconds. In another hand, the Fuzzy-PID controller is able to achieve the desired reference after 8 seconds. Therefore, it can be concluded that the Fuzzy-PID controller when applied to the Double Inverted pendulum system has better performance than the LQR controller.Erlyana Trie DamayantiMardlijah MardlijahRidho Nur Rohman Wijaya
Copyright (c) 2024 Erlyana Trie Damayanti
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2024-05-162024-05-1691142510.18860/ca.v9i1.22070Multipolar Intuitionistic Fuzzy Positive Implicative Ideal in B-Algebras
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/23164
In this paper, we start with the concept of B-algebras, commutative B-algebras and fuzzy ideal in B-algebras. We also study about multipolar intuitionistic fuzzy ideal. We explain the notion of multipolar intuitionistic fuzzy positive implicative ideal in B-algebras and some characterizes. In addition, we examine some theorems and proportions which contain the conditions for a multipolar intuitionistic fuzzy set become a multipolar intuitionistic fuzzy positive implicative ideal in B-algebras. One of the result is a multipolar intuitionistic fuzzy set (l,s) over commutative B-algebra X is a multipolar intuitionistic fuzzy positive implicative ideal (l,s) over commutative B-algebra X if and only if (x*y)*z=0 implies l(x)>= Inf{l(y),l(z)} and s(x) <= Sup{s(y),s(z)}, for all x,y,z.Royyan AmigoNoor HidayatVira Hari Krisnawati
Copyright (c) 2024 Royyan Amigo, Noor Hidayat, Vira Hari Krisnawati
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2024-05-162024-05-1691263510.18860/ca.v9i1.23164The Reflexive H-Strength on Some Graphs
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/23172
<p class="Abstract">Let <em>G</em> be a connected, simple, and undirected graph with a vertex set <em>V</em>(<em>G</em>) and an edge set <em>E</em>(<em>G</em>). The irregular reflexive -labeling is defined by the function and such that if and if , where max . The irregular reflexive labeling is called an -irregular reflexive -labeling of the graph if every two different sub graphs and isomorphic to it holds , where for the sub graph . The minimum for graph which has an -irregular reflexive -labelling is called the reflexive strength of the graph and denoted by . In this paper we determine the lower bound of the reflexive strength of some subgraphs, on , the sub graph on the sub graph on and the sub graph on .</p>Lusia Herni SullystiawatiMarsidi MarsidiEric Dwi PutraIka Hesti Agustin
Copyright (c) 2024 Marsidi Marsidi, Lusia Herni Sullystiawati, Eric Dwi Putra, Ika Hesti Agustin
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2024-05-162024-05-1691364910.18860/ca.v9i1.23172Mathematical Modeling of HIV/AIDS Disease Spread with Public Awareness
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/23424
<p>This study develops mathematical model for the spread of HIV/AIDS by the population is divided into seven sub-populations, namely the susceptible unaware HIV subpopulation, the susceptible aware HIV sub-population, the infected sub-population, the pre-AIDS sub-population, the ARV treatment sub-population, the AIDS sub-population, and unlikely to be infected with HIV/AIDS sub-population. In this mathematical model, two equilibrium points are obtained, namely the disease-free equilibrium point and the disease-endemic equilibrium point and the basic reproduction number . The stability analysis shows that the disease-free equilibrium point is locally asymptotically stable if and the disease-endemic equilibrium point is locally asymptotically stable if . Numerical simulations of the equilibrium points are carried out to provide an overview of the analyzed results with parameter values from several sources. Based on the sensitivity analysis, the parameters that significantly affect the spread of HIV/AIDS are the contact rate of HIV-unaware individuals with infected individuals and the transmission rate of HIV infection</p>Irma FauziahMuhammad ManaqibElisda Mieldhania Zhafirah
Copyright (c) 2024 Muhammad Manaqib, Elisda Mieldhania Zhafirah, Irma Fauziah
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2024-05-162024-05-1691506510.18860/ca.v9i1.23424Order Ideals on Lexicographic Direct Sum of Three Totally Ordered Abelian Groups
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/24116
<p class="AbstractCxSpFirst">Order ideals play an important role in the study of abstract algebra, especially in the study of ordered groups. In this paper, we focus on the study of order ideals in lexicographic direct sums of totally ordered Abelian groups. We begin by examining the order ideals in the group of integers , and the group of real numbers It is shown that there are no non-trivial order ideals in both groups. Next, we revisit the order ideals in the lexicographic direct sum of two totally ordered Abelian groups, The only non-trivial order ideal of is Furthermore, our study extends to the lexicographic direct sum of three totally ordered Abelian groups: and We investigate the non-trivial order ideals in these structures. It is stated that the non-trivial order ideals of are only and Furthermore, the non-trivial order ideals of are only and .</p><p class="AbstractCxSpLast"><strong>Keywords</strong>: order ideal; lexicographic order; direct sum.<img src="/public/site/images/sumanang_74/abstract_order_ideals.jpg" alt="" /></p>Dian LatifahSumanang Muhtar GozaliRizky RosjanuardiImam Nugraha Albania
Copyright (c) 2024 Sumanang Muhtar Gozali, Dian Latifah, Rizky Rosjanuardi, Imam Nugraha Albania
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2024-05-162024-05-1691667210.18860/ca.v9i1.24116The Boundedness of Generalized Fractional Integral Operators on Small Morrey Spaces
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/24309
<p class="Abstract">The small Morrey space is the set of locally Lebesgue integrable functions with norm defined supremum over radius of ball . This paper aims to prove the boundedness properties of the generality of fractional integral operators in small Morrey spaces using Hedberg-type inequality. The first, in this paper will be discuss to prove Hedberg-type inequality on small Morrey spaces using dyadic decomposition, H lder inequality, and doubling condition. Furthermore, by using the inequality, it can be proven that the boundedness of generalized fractional integral operators on small Morrey spaces.</p>Rizky Aziz SyaifudinCorina KarimMarjono MarjonoHairur Rahman
Copyright (c) 2024 Rizky Aziz Syaifudin, Corina Karim, Marjono Marjono, Hairur Rahman
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2024-05-162024-05-1691738110.18860/ca.v9i1.24309Numerical Analysis of Airflow in Trachea Affected by Thyroid Cancer Using Finite Volume Method
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/24376
<p class="Abstract">The study aims to analyze the airflow in the trachea due to thyroid cancer. Thyroid cancer is a cancer that attacks the thyroid gland. The thyroid gland is located in the neck below the Adam's apple. In general, thyroid cancer causes stenosis of the trachea due to cancer compression of the tracheal wall. This problem is solved using the finite volume method with SIMPLE (Semi Implicit Method for Pressure Linked Equation) discretization. This method is well suited for the discretization of irregularly shaped fluid flows. The software used is Matlab and Ansys Fluent. Matlab is used to compute numerical solutions and display graphs, while Fluent is used to visualize the air flow. The result of this study is that the greater the percentage of stenosis, the velocity of the airflow is faster and the pressure of the airflow is lower. The most critical condition for respiratory power loss is when the airflow velocity exceeds the normal limit, i.e. when the narrowing is more than 50%, the initial velocity is more than 0,1 m/s.</p>Arif FatahillahMiftahul JannahSusi SetiawaniToto Bara SetiawanArika Indah Kristiana
Copyright (c) 2024 Arif Fatahillah
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2024-05-162024-05-1691829310.18860/ca.v9i1.24376Estimating Missing Panel Data with Regression and Multivariate Imputation by Chained Equations (MICE)
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/24824
Missing data may occur in various types of research. Regression and multiple imputation by chained equations (MICE) are two methods that can be used to estimate missing data in panel data types. This study aims to compare the accuracy of the missing panel data estimation using the regression and the MICE methods. The data used in this study are 161 random samples of senior high schools and vocational schools in DKI province for the year 2016-2020. Based on the results of the Chow test, Hausman test, and Lagrange Multiplier test on panel data regression, it shows that the appropriate model for the student-teacher ratio (X5) is random, the percentage of teachers who have an educator certificate (X6) is a fixed model with the specific effect of individual school and time, while the percentage of teachers who hold a bachelor degree (X7) is a fixed model with the specific effect of individual. Based on this model, the estimation of missing data is then carried out. The accuracy of the missing data estimation was carried out by comparing the MAPE, MAE, and RMSE values. The results show that the MICE method is quite good for estimating missing data at X5, quite feasible for estimating X6, and very good for estimating missing data at X7. In general, MICE is more accurate than panel data regressionBudi SusetyoAnwar Fitrianto
Copyright (c) 2024 Budi Susetyo
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2024-05-162024-05-16919410510.18860/ca.v9i1.24824KFCM-PSOTD : An Imputation Technique for Missing Values in Incomplete Data Classification
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/25138
<p class="Abstract">Data mining is a very important process for finding out the data interpretation. Data preprocessing is the crucial data mining steps. The existence of missing values in the data is one of the primary issues with data preprocessing. Generally, this can be overcome with mean or median imputation because they are easy to implement. However, the use of these techniques is not recommended because they ignore the data variance. This research develops the Kernel Fuzzy C-Means Optimized by the Particle Swarm Optimizer with Two Differential Mutations (KFCM-PSOTD). KFCM imputation is applied to obtain better estimation values due to its proven ability to recognize patterns in the data. In addition, the PSOTD algorithm is used as an optimization tool to boost the KFCM's performance. PSOTD is adopted because it has more balanced exploration and exploitation capabilities compared to classical PSO. Datasets that have been imputed on KFCM-PSOTD are classified using the Decision Tree algorithm. The results are evaluated using accuracy, precision, recall, and f1 score to determine the quality of the imputed values. The outcomes demonstrate that the KFCM-PSOTD algorithm has a better performance; even the difference in evaluation scores obtained reaches 10% better than other imputation techniques. </p>Muhaimin IlyasSyaiful AnamTrisilowati Trisilowati
Copyright (c) 2024 Muhaimin Ilyas, Syaiful Anam, Trisilowati Trisilowati
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2024-05-162024-05-169110611810.18860/ca.v9i1.25138Comparison between Statistical Approaches and Data Mining Algorithms for Outlier Detection
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/25450
<p class="Abstract">Outliers are observation values that are very different from most observations. The presence of outliers in data can have a negative impact on research but can contain important information for other research. So, identifying outliers before conducting data analysis is a crucial thing to do. Outlier detection methods/techniques were first pioneered by researchers in statistics. However, due to rapid technological advances which have an impact on the ease of collecting extensive data, the development of outlier detection techniques is now handled mainly by researchers in the field of computer science (data mining) using computing facilities. This research aims to examine the results of simulation studies by comparing methods for identifying several outliers using statistical approaches and data mining algorithm approaches in various predetermined data scenarios. Based on the scenario carried out, the outlier detection method using a statistical approach is generally better than the outlier detection method using a data mining-based approach. Suggestions for further research are to improve the data mining method by focusing more on statistical analysis apart from focusing on data processing computing time so that the expected results of outlier detection are faster and more precise.</p>Annisa Putri UtamiAnwar FitriantoKhairil Anwar Notodiputro
Copyright (c) 2024 Annisa Putri Utami, Anwar Fitrianto, Khairil Anwar Notodiputro
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2024-05-162024-05-169111912810.18860/ca.v9i1.25450Spatial Weight Matrix Comparison of SAR-X Model using Casetti Approach
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/25579
<p class="Abstrak"><span lang="EN-US">The Spatial Autoregressive Exogenous (SAR-X) model with the Casetti approach is used to describe the influence of location and exogenous variables in the description and prediction of spatial observations, namely, people's habits and behavior towards culture in Java Island. The SAR-X model with the Casetti approach is characterized by a spatial weight matrix that describes the coordinates of the region at each location. The spatial weight matrix is determined outside the model. This study examines the spatial weight matrix determined based on rook contiguity, bishop contiguity, queen contiguity, inverse distance and inverse distance squared, and compares the application of the spatial weight matrix to the SAR-X model with the Casetti approach for the description and prediction of people's habits and behavior towards culture in Java Island. The description and prediction results obtained are measured using the Root Mean Square Error (RMSE) value. The results of data processing show that the best spatial weight matrix in the SAR-X model with the Casetti approach to community habits and behavior in Java Island is the inverse distance squared spatial weight matrix, supported by the calculation of the minimum RMSE value and the coefficient of determination above 60%.</span></p>Almeira TsanawafaDianne Amor KusumaBudi Nurani Ruchjana
Copyright (c) 2024 Almeira Tsanawafa, Dianne Amor Kusuma, Budi Nurani Ruchjana
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2024-05-162024-05-169112913710.18860/ca.v9i1.25579SEIR Mathematical Model with the Use of Hand Sanitizers to Prevent the Spread of Covid-19 Disease
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/25754
<p>The SARS-CoV-2 coronavirus can spread through contact with contaminated surfaces. The use of hand sanitizer is claimed to reduce the risk of transmission. For this reason, this study aims to develop a model of the spread of COVID-19 using the SEIR model with the use of hand sanitizer for infected individuals. The individual population is divided into six compartments, namely two compartments for susceptible individuals who using hand sanitizer and not, one compartment for exposed individuals, two compartments for infected individuals who using hand sanitizer and not, and one compartment for individuals died and recovered. The results obtained two equilibrium points: the disease-free and endemic equilibrium point, and also the basic reproduction number. The existence of a disease-free equilibrium point is unconditional, while the endemic there exist when the basic reproduction number is more than one. Stability analysis of the disease-free equilibrium point is locally asymptotic stable when the basic reproduction number is less than one. Numerical simulations carried out also strengthen them. Finally, the results of basic reproduction number sensitivity analysis show that the basic reproduction number is strongly influenced by contact of the susceptible individuals with exposed and infected individuals, neglecting of hand sanitizer use, mortality and cure rates.</p>Muhamad Ali MisriKhelan Hussien QadrMuhammad Avif Rahmatullah
Copyright (c) 2024 Muhamad Ali Misri, Muhammad Avif Rahmatullah, Khelan Hussien Qadr
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2024-05-162024-05-169113815410.18860/ca.v9i1.25754Systematic Literature Review (SLR) on Annuity Modeling of Plantation Replanting Cost Reserves Based on the Cobb-Douglas Model
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/25831
<p><span lang="DE">Annuity is a financial concept that involves a series of periodic payments or receipts. In oil palm plantation management, the annuity concept is adapted to model and estimate the reserves required for replanting costs over time. The Cobb-Douglas model is a model that considers the contribution of various factors in the production process. This model can be used to estimate the income of plantations. This study discusses the Systematic Literature Review on Annuity Modeling of Plantation Replanting Cost Reserves through the application of the Cobb-Douglas Model using the Reporting Method of Choice for Systematic Review and Meta-Analysis (PRISMA) method. The study systematically collected and analyzed relevant literature from Scopus, Science Direct, Dimensions, and SAGE databases. The review followed a structured methodology that included four main stages: Identification, Screening, Eligibility, and Inclusion. Analysis was conducted on the datasets obtained at the Eligibility and Inclusion stages. Statistical techniques facilitated by the "bibliometrix" package in RStudio software were used to process the findings. In addition, the results can be accessed through the "biblioshiny ()" command, allowing easy access through a web interface for in-depth exploration. Based on the inclusion and exclusion criteria carried out in this study, it can be concluded that there is no research that discusses the topic of annuity modeling of plantation replanting cost reserves using the Cobb-Douglas model specifically. This can be further research on this topic. </span></p>Rayyan Al Muddatstsir FasaHerlina NapitupuluSukono Sukono
Copyright (c) 2024 Rayyan Al Muddatstsir Fasa, Herlina Napitupulu, Sukono Sukono
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2024-05-162024-05-169115517110.18860/ca.v9i1.25831Mathematical Models of Human Papillomavirus Transmission with Vaccination
https://ejournal.uin-malang.ac.id/index.php/Math/article/view/25922
<div><p class="KeywordsCxSpFirst">The human papillomavirus (HPV) is one of the viruses that can cause cervical cancer. However, vaccination can prevent such a virus. The spread of the virus in cervical cancer can be modelled in the SI model, however, such a model has not produced accurate results. The development and extension of the model into S<sub>1</sub>S<sub>2</sub>IRC, with S<sub>1 </sub>denoting the population aged 0–10 years and S<sub>2</sub> representing the population over 10 years, which is susceptible to HPV infection. The results produce disease-free and endemic equilibrium points. The analysis of the equilibrium points yields that the disease-free equilibrium point will be asymptotically stable for R<sub>0</sub>< 1 and R0 > 1 for the endemic equilibrium point. The results indicate that the higher the probability of humans being prone to the HPV virus, the greater the chance of these individuals being infected by the virus. Therefore, vaccination is required to protect against the virus infection. </p><p class="KeywordsCxSpLast"> </p></div>Maria LoboMaria MachadoWaltrudis Adelia Asa
Copyright (c) 2024 Maria Lobo, Maria Machado, Waltrudis Adelia Asa
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2024-05-162024-05-169117218610.18860/ca.v9i1.25922