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Optimalization Route to Tourism Places in West Java Using A-STAR Algorithm 基于A-STAR算法的西爪哇旅游景点路线优化
CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2022-10-11 DOI: 10.18860/ca.v7i3.17032
Muhammad Herlambang Prakasa Yudha, Sudrajat Supian, H. Napitupulu
{"title":"Optimalization Route to Tourism Places in West Java Using A-STAR Algorithm","authors":"Muhammad Herlambang Prakasa Yudha, Sudrajat Supian, H. Napitupulu","doi":"10.18860/ca.v7i3.17032","DOIUrl":"https://doi.org/10.18860/ca.v7i3.17032","url":null,"abstract":"Various algorithms can be used in the problem of finding the optimal route, one of which is the A-STAR Algorithm. The characteristic for recording routes that have been evaluated is one of the advantages of the A-STAR Algorithm. This study focuses on finding the optimal route to tourism places in West Java Province. In the application of the A-STAR Algorithm, distance data and density data are used from each line segment in West Java Province. The heuristic values used are converted from density data. The A-STAR algorithm is implemented using Python so that the optimal route to tourism places in West Java Province is obtained.","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"18 9","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131775023","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
Mathematical Model of Iteroparous and Semelparous Species Interaction 异卵和半卵物种相互作用的数学模型
CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2022-10-11 DOI: 10.18860/ca.v7i3.16447
Arjun Hasibuan, Asep K. Supriatna, E. Carnia
{"title":"Mathematical Model of Iteroparous and Semelparous Species Interaction","authors":"Arjun Hasibuan, Asep K. Supriatna, E. Carnia","doi":"10.18860/ca.v7i3.16447","DOIUrl":"https://doi.org/10.18860/ca.v7i3.16447","url":null,"abstract":"A species can be categorized based on its reproductive strategy, including semelparous and iteroparous. Semelparous species is a species that reproduces only once in its lifetime shortly before dying, while iteroparous species is a species that reproduces in its lifetime more than once. In this paper, we examine multispecies growth dynamics involving both species categories focusing on one semelparous species and one iteroparous species influenced by density-dependent also harvesting in which there are two age classes each. We divided the study into two models comprising competitive and non-competitive models of both species. Competition in both species can consist of competition within the same species (intraspecific competition) and competition between different species (interspecific competition). Our results show that the level of competition both intraspecific and interspecific affects the co-existence equilibrium point and the local stability of the co-existence equilibrium point.","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115006514","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
Mathematics Model of COVID-19 with Two-Stage Vaccination, Symptomatic, Asymptomatic, and Quarantine Individuals COVID-19两阶段疫苗接种、有症状、无症状和隔离个体的数学模型
CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2022-10-11 DOI: 10.18860/ca.v7i3.15188
Nur Inayah, Muhammad Manaqib, Muhammad Febry Fadillah
{"title":"Mathematics Model of COVID-19 with Two-Stage Vaccination, Symptomatic, Asymptomatic, and Quarantine Individuals","authors":"Nur Inayah, Muhammad Manaqib, Muhammad Febry Fadillah","doi":"10.18860/ca.v7i3.15188","DOIUrl":"https://doi.org/10.18860/ca.v7i3.15188","url":null,"abstract":"This research developed a model of COVID-19 based on the SEIR model which was further developed by dividing the infected subpopulation into symptomatic and asymptomatic, adding quarantine of infected individuals and vaccination in two steps. Making this model begins with making a compartment diagram of the disease and then forming a system of differential equations. After the model is formed, the disease-free equilibrium point, endemic equilibrium point, and basic reproduction number (R0) are obtained. Analysis of the stability of the disease-free equilibrium point was locally asymptotically stable if R01 and an endemic equilibrium point existed if R01. Numerical simulation for the model that has been made is in line with the analysis. Furthermore, the sensitivity analysis obtained that the parameters that have a significant effect on the spread of COVID-19 are the rate of the first dose vaccination, the rate of contact with symptomatic or asymptomatic individuals, and the rate of quarantine of symptomatic infected individuals.","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126350526","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
η-Intuitionistic Fuzzy Soft Groups η-直觉模糊软群
CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2022-10-11 DOI: 10.18860/ca.v7i3.14555
Mustika Ana Kurfia, N. Hidayat, Corina Karim
{"title":"η-Intuitionistic Fuzzy Soft Groups","authors":"Mustika Ana Kurfia, N. Hidayat, Corina Karim","doi":"10.18860/ca.v7i3.14555","DOIUrl":"https://doi.org/10.18860/ca.v7i3.14555","url":null,"abstract":"In this research, we present the idea of the intuitionistic fuzzy soft group defined on the intuitionistic fuzzy soft set. The main purpose of this research is to create a new concept, which is an intuitionistic fuzzy group. To achieve this, we combine the concept of intuitionistic fuzzy group and intuitionistic fuzzy soft group. As the main result, we prove the correlation between the intuitionistic fuzzy soft group and intuitionistic fuzzy soft group along with some properties of intuitionistic fuzzy soft groups. Also, we prove some properties of a subgroup of an intuitionistic fuzzy soft group. An intuitionistic fuzzy soft homomorphism is also proved.","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114147694","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
Bayesian Hurdle Poisson Regression for Assumption Violation 假设违背的贝叶斯跨栏泊松回归
CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2022-10-11 DOI: 10.18860/ca.v7i3.15549
Nur Kamilah Sa'diyah, A. Astuti, M. B. Mitakda
{"title":"Bayesian Hurdle Poisson Regression for Assumption Violation","authors":"Nur Kamilah Sa'diyah, A. Astuti, M. B. Mitakda","doi":"10.18860/ca.v7i3.15549","DOIUrl":"https://doi.org/10.18860/ca.v7i3.15549","url":null,"abstract":"Violation of the Poisson regression assumption can cause the model formed will produce an unbiased estimator. There is a good method for estimating parameters on small sample sizes and on all distributions, namely the Bayesian method. The number of death from chronic Filariasis data violates the Poisson regression assumption, so it is modeled with the Bayesian Hurdle Poisson Regression. With the Bayesian method, convergence is fullfilled when 300000 iterations and 7 thin are performed. The results showed that in the logit model only one predictor variable had a significant effect on the number of cases of death due to chronic Filiariasis in 34 Provinces in Indonesia . The Truncated Poisson model resulted in all predictor variables having a significant effect on the number of cases of death due to chronic Filariasis.","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127585526","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
C-Type Ops Transformation c型操作转换
CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2022-10-11 DOI: 10.18860/ca.v7i3.15749
A. Lazwardi, I. Ariyanti, Soraya Djamilah
{"title":"C-Type Ops Transformation","authors":"A. Lazwardi, I. Ariyanti, Soraya Djamilah","doi":"10.18860/ca.v7i3.15749","DOIUrl":"https://doi.org/10.18860/ca.v7i3.15749","url":null,"abstract":"Many indexes are involved on ordinary power series calculation. One of the most valuable discovery on previous research is Ops Transformation which able to simplify notations of ordinary power series to avoid some more complicated manipulations. The aim of this research is to generalize the concept of Ops Transformation to gain more benefit and wider applications. The main result of this research is a new formula of generalization of Ops Transformation which called C-Type Ops Transformation. Such transformation is able to solve some differential equations which involving Taylor series","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"278 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116198873","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
A Monte Carlo Simulation Study to Assess Estimation Methods in CFA on Ordinal Data 评价有序数据CFA估计方法的蒙特卡罗模拟研究
CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2022-10-11 DOI: 10.18860/ca.v7i3.14434
N. Fitriyati, M. Wijaya
{"title":"A Monte Carlo Simulation Study to Assess Estimation Methods in CFA on Ordinal Data","authors":"N. Fitriyati, M. Wijaya","doi":"10.18860/ca.v7i3.14434","DOIUrl":"https://doi.org/10.18860/ca.v7i3.14434","url":null,"abstract":"Likert-type scale data are ordinal data and are commonly used to measure latent constructs in the educational, social, and behavioral sciences. The ordinal observed variables are often treated as continuous variables in factor analysis, which may cause misleading statistical inferences. Two robust estimators, i.e., unweighted least square (ULS) and diagonally weighted least square (DWLS) have been developed to deal with ordinal data in confirmatory factor analysis (CFA). Using synthetic data generated in a Monte Carlo experiment, we study the behavior of these methods (DWLS and ULS) and compare their performance with normal theory-based ML and GLS (generalized least square) under different levels of experimental conditions. The simulation results indicate that both DWLS and ULS yield consistently accurate parameter estimates across all conditions considered in this study. The Likert data can be treated as a continuous variable under ML or GLS when using at least five Likert scale points to produce trivial bias. However, these methods generally fail to provide a satisfactory fit. Empirical studies in the field of psychological measurement data are reported to present how theoretical and statistical instances have to be taken into consideration when ordinal data are used in the CFA model.Keywords: confirmatory factor analysis, diagonally weighted least square, generalized least square, Likert data, maximum likelihood.","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126015170","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
Comparisons between Resampling Techniques in Linear Regression: A Simulation Study 线性回归中重采样技术的比较:模拟研究
CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2022-10-11 DOI: 10.18860/ca.v7i3.14550
A. Fitrianto, Punitha Linganathan
{"title":"Comparisons between Resampling Techniques in Linear Regression: A Simulation Study","authors":"A. Fitrianto, Punitha Linganathan","doi":"10.18860/ca.v7i3.14550","DOIUrl":"https://doi.org/10.18860/ca.v7i3.14550","url":null,"abstract":"The classic methods used in estimating the parameters in linear regression need to fulfill some assumptions. If the assumptions are not fulfilled, the conclusion is questionable. Resampling is one of the ways to avoid such problems. The study aims to compare resampling techniques in linear regression. The original data used in the study is clean, without any influential observations, outliers and leverage points.  The ordinary least square method was used as the primary method to estimate the parameters and then compared with resampling techniques. The variance, p-value, bias, and standard error are used as a scale to estimate the best method among random bootstrap, residual bootstrap and delete-one Jackknife. After all the analysis took place, it was found that random bootstrap did not perform well while residual and delete-one Jackknife works quite well. Random bootstrap, residual bootstrap, and Jackknife estimate better than ordinary least square. Is was found that residual bootstrap works well in estimating the parameter in the small sample. At the same time, it is suggested to use Jackknife when the sample size is big because Jackknife is more accessible to apply than residual bootstrap and Jackknife works well when the sample size is big.","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123895924","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
Levi Decomposition of Frobenius Lie Algebra of Dimension 6 6维Frobenius李代数的Levi分解
CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2022-10-11 DOI: 10.18860/ca.v7i3.15656
Henti Henti, E. Kurniadi, E. Carnia
{"title":"Levi Decomposition of Frobenius Lie Algebra of Dimension 6","authors":"Henti Henti, E. Kurniadi, E. Carnia","doi":"10.18860/ca.v7i3.15656","DOIUrl":"https://doi.org/10.18860/ca.v7i3.15656","url":null,"abstract":"In this paper, we study notion of the Lie algebra  of dimension 6. The finite dimensional Lie algebra can be expressed in terms of decomposition between Levi subalgebra and the maximal solvable ideal. This form of decomposition is called Levi decomposition. The work aims to obtain Levi decomposition of Frobenius Lie algebra of dimension 6. To achieve this aim, we compute Levi subalgebra and the maximal solvable ideal (radical) of  with respect to its basis. To obtain Levi subalgebra and the maximal solvable ideal, we apply literature reviews about Lie algebra and decomposition Levi in Dagli result. For future research, decomposition Levi for higher dimension of Frobenius Lie algebra  is still an open problem.","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127006959","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
on Graceful Chromatic Number of Vertex amalgamation of Tree Graph Family 树图族顶点合并的优美色数
CAUCHY: Jurnal Matematika Murni dan Aplikasi Pub Date : 2022-10-11 DOI: 10.18860/ca.v7i3.16334
A. I. Kristiana, Ahmad Aji, E. Wihardjo, Deddy Setiawan
{"title":"on Graceful Chromatic Number of Vertex amalgamation of Tree Graph Family","authors":"A. I. Kristiana, Ahmad Aji, E. Wihardjo, Deddy Setiawan","doi":"10.18860/ca.v7i3.16334","DOIUrl":"https://doi.org/10.18860/ca.v7i3.16334","url":null,"abstract":"Proper vertex coloring c of a graph G is a graceful coloring if c is a graceful k-coloring for k∈{1,2,3,…}. Definition graceful k-coloring of a graph G=(V,E) is a proper vertex coloring c:V(G)→{1,2,…,k);k≥2, which induces a proper edge coloring c':E(G)→{1,2,…,k-1} defined c'(uv)=|c(u)-c(v)|. The minimum vertex coloring from graph G can  be colored with graceful coloring called a graceful chromatic number with notation χg (G). In this paper, we will investigate the graceful chromatic number of vertex amalgamation of tree graph family with some graph is path graph, centipede graph, broom and E graph.","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125048957","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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