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Contact Name
Juhari
Contact Email
juhari@uin-malang.ac.id
Phone
+6281336397956
Journal Mail Official
cauchy@uin-malang.ac.id
Editorial Address
Jalan Gajayana 50 Malang, Jawa Timur, Indonesia 65144 Faximile (+62) 341 558933
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Kota malang,
Jawa timur
INDONESIA
CAUCHY: Jurnal Matematika Murni dan Aplikasi
ISSN : 20860382     EISSN : 24773344     DOI : 10.18860
Core Subject : Education,
Jurnal CAUCHY secara berkala terbit dua (2) kali dalam setahun. Redaksi menerima tulisan ilmiah hasil penelitian, kajian kepustakaan, analisis dan pemecahan permasalahan di bidang Matematika (Aljabar, Analisis, Statistika, Komputasi, dan Terapan). Naskah yang diterima akan dikilas (review) oleh Mitra Bestari (reviewer) untuk dinilai substansi kelayakan naskah. Redaksi berhak mengedit naskah sejauh tidak mengubah substansi inti, hal ini dimaksudkan untuk keseragaman format dan gaya penulisan.
Arjuna Subject : -
Articles 438 Documents
Covid-19 Data Analysis in Tarakan with Poisson Regression and Spatial Poisson Process Sofro, A'yunin; Wardani, Ika Nurwanitantya; Khikmah, Khusnia Nurul
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 7, No 4 (2023): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i4.19653

Abstract

COVID-19 entered Indonesia in March 2020 and included North Kalimantan Province, Tarakan. COVID-19 cases have outspread in Tarakan. The cause of the outspread and the patterns were not known yet. One relevant approach was to use Generalized Linear Models. The two methods are Poisson Regression and Stochastic with Spatial Poisson Process. The variables used were rainfall, population density, and temperature in each village in Tarakan. The Poisson Regression analysis founds that only one factor affected temperature. Then, the results were refined with the Spatial Poisson Process, where in addition to the influencing factors also, the distribution patterns are obtained. The analysis showed that the pattern of case distribution was included in the non-homogeneous Poisson process criteria. Then the model of the case density intensity was obtained using regression. From the model, it was known that the covariate variables significantly influence rainfall and temperature. Compared with general Poisson regression analysis, the results showed that only the average temperature variables had a significant effect. Thus, a better method was used, namely the Spatial Poisson Process. It was also shown by the two models' AIC values, where the AIC value of the Spatial Poisson Process model was smaller than the Poisson Regression.
On Irregular Colorings of Unicyclic Graph Family Kristiana, Arika Indah; Dafik, Dafik; A’yun, Qurrotul; Adawiyah, Robiatul; Alfarisi, Ridho
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 7, No 4 (2023): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i4.16917

Abstract

Irregular coloring is a proper coloring and each vertex on a graph must have a different code. The color code of a vertex v is  where  and    is the number of vertices that are adjacent to v and colored i. The minimum k-color used in irregular coloring is called the irregular chromatic number and denoted by . In this paper, we discuss the irregular chromatic number for the bull graph, pan graph, sun graph, peach graph, and caveman graph. 
Inclusive Local Irregularity Vertex Coloring In Grid Graph Family Kristiana, Arika Indah; Agatha, Alvian Bagus; Hussen, Saddam; Prihandini, Rafiantika Megahnia; Alfarisi, Ridho; Siddiqui, M. Kamran
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 9, No 1 (2024): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v9i1.20947

Abstract

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.
On Local Antimagic b-Coloring and Its Application for STGNN Time Series Forecasting on Horizontal Farming Sunder, R.; Agustin, Ika Hesti; Dafik, Dafik; Maylisa, Ika Nur; Mohanapriya, N.; Marsidi, Marsidi
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 1 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i1.29968

Abstract

This article discusses a local antimagic coloring which is a combination between antimagic labeling and coloring. It is a new notion. We define a vertex weight of  as  where  is the set of edges incident to . The bijection  is said to be a local antimagic labeling if for any two adjacent vertices, their vertex weights must be distinct. Furthermore  a coloring of a graph is a proper coloring of the vertices of  such that in each color class there exists a vertex having neighbors in all other  color classes. If we assign color on each vertex by the vertex weight  such that it induces a graph coloring satisfying coloring property, then this concept falls into a local antimagic coloring of graph. A local antimagic chromatic number, denoted by , is the maximum number of colors chosen for any colorings generated by local antimagic coloring of . In this paper we initiate to explore some new lemmas or theorems regarding to . Furthermore, to see the robust application of local antimagic coloring, at the end of this paper we will analyse the implementation of local antimagic coloring on Graph Neural Networks (GNN) multi-step time series forecasting on for NPK (Nitrogen, Phosphorus, and Potassium) concentration of companion plantations.
Local Polynomial Estimator in The Nonparametric Model of Inflation in Indonesia Aziz, Abdul; Chamidah, Nur; Saifudin, Toha
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 1 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i1.27625

Abstract

Inflation is a general and continuous increase in prices of goods and services over a certain period.  Nonparametric regression analysis can be used to model inflation data that does not form a particular pattern. This study applies a local polynomial nonparametric method to model the rate of change rate in the inflation over a period considering two factors influencing inflation: the rate of change in the BI interest rate and the rate of change rate in the money supply from the previous period. The bivariate local polynomial method estimates the nonparametric regression function by considering the optimum Gaussian kernel bandwidth and polynomial order using the Taylor series expansion and WLS estimator. The optimal local polynomial nonparametric regression model was obtained based on a minimum GCV value of  0.015108 with two optimum Gaussian kernel bandwidth values of 0.1 and 0.03 in polynomial order of 1. The best model had a MAPE value of 3.45%, showing that all the prediction models were highly accurate. The benefits gained are additional information and consideration for determining monetary policy, especially inflation in Indonesia, by determining the BI interest rate and money supply.
Optimization of Pertamax Fuel Distribution Using Clarke-Wright Savings, Nearest Neighbour, and Goal Programming (Case Study: Malang City) Melani, Tharisa; Abusini, Sobri; Marjono, Marjono
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 1 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i1.31529

Abstract

Fuel distribution optimization is crucial to meet growing demand and reduce operational costs, especially in cities like Malang, where vehicle numbers are increasing. This research addresses the distribution challenges of PT Pertamina, focusing on designing efficient routes to minimize distance, cost, and delivery time while meeting fuel demands effectively. The problem, classified as a Capacitated Vehicle Routing Problem (CVRP), is solved using the Clarke-Wright Savings (CWS), Nearest Neighbour (NN), and Goal Programming (GP). The CWS is applied to group routes efficiently by reducing travel distances, while NN determined the delivery sequence within each route. GP addressed multi-objective optimization, minimizing costs and delivery time, maximizing Pertashop demands, and optimizing vehicle use. The results show that the combination of CWS and NN algorithms reduced the total travel distance by 140 km, or 12.5% reduction. Additionally, the GP method optimized vehicle use to 13, achieving a 59.68% cost reduction and a 48.68% time savings. These findings highlight the effectiveness of combining these algorithms in fuel distribution optimization, providing a more efficient solution compared to existing routes. Moreover, this approach is adaptable to similar logistics problems, offering a foundation for further research in multi-objective optimization for distribution systems.
Criteria for Publishing in Reputable International Journals: An Analytical Hierarchy Process Decision Model Husein, Ismail; Zein, Achyar; Faigle, Ulrich
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 1 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i1.30903

Abstract

The problem faced by researchers, in this case lecturers at universities, after carrying out research and making research reports is deciding where to publish the results of their research. Analytic Hierarchy Process is an effective method for ranking alternative journals. This helps ensure that their research is published in a reputable journal that will reach the appropriate audience and have a positive impact on their career. The data collection method in this research was first sourced from books, the internet, and previously a study of articles and journals; secondly, create a checklist of criteria and sub-criteria from 20 (twenty) articles, namely 4 articles from Elsevier, 4 articles from Springer Nature, 4 articles from Taylor Francis, 4 articles from Wiley-Blackwell, and 4 articles from Sage. Article selection was carried out randomly. The results of distributing questionnaires were analyzed using the Analytic Hierarchy Process Online System designed by Klaus D. Goepel. The main aim of this study was to determine the appropriate weighting of several criteria that explain why previously published manuscripts are submitted to their intended publication. The criteria for accepting article manuscripts in reputable international journals using the Analytical Hierarchy Process model (standard Analytic Hierarchy Process linear scale methods) is that the first priority is the "novelty" criterion with a weight of 0.502. The second priority is the "scientific" criterion with a weight of 0.201. Furthermore, the third and fourth priorities are "manuscript" and "content" respectively with weights of 0.142 and 0.078. Meanwhile, the last priority is "Interesting" with a weight of 0.076.
Integration of DBSCAN Cluster Analysis with Multigroup Moderation Path Analysis Al Jauhar, Hafizh Syihabuddin; Solimun, Solimun; Fitriani, Rahma
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 1 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i1.29847

Abstract

This study examines the application of integration between DBSCAN cluster analysis and multigroup moderation path analysis to analyse patterns of waste management behaviour in Batu City. DBSCAN was used to cluster the data based on density, resulting in two main clusters as well as some noise data. The first cluster consisted of 189 respondents, while the second cluster included 196 respondents, with the remaining 10 data identified as noise. The DBSCAN clustering results showed a silhouette index of 0.664, indicating good clustering quality in terms of compactness and separation between clusters. After the data was clustered, each cluster was analysed using multigroup moderation path analysis to assess the relationship between environmental quality, understanding of 3R-based waste management, and economic usefulness of waste with facilities and infrastructure variables as moderators. The results showed that clusters with good quality facilities had a stronger understanding of 3R-based waste management and its economic usefulness. This finding underscores the importance of facilities and infrastructure in influencing community waste management behaviour patterns.
Obesity Prediction Using Synthetic Minority Oversampling Technique for Numeric and Continous and XGBoost Approaches Putri, Tiara Azahra Wika; Sa’adah, Umu; Habibah, Ummu
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 1 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i1.30818

Abstract

This study investigates the effect of using SMOTE-NC on the XGBoost algorithm in predicting obesity. The main objective of this research is to determine the effect of implementing SMOTE-NC and also the features that are most influential in the prediction process. By using the SMOTE-NC approach with XGBoost it is hoped that it can improve obesity prediction performance, data is collected from UCI Machine Learning for Obesity analysis. The prediction results reveal that the application of SMOTE-NC can improve the accuracy of obesity prediction using XGBoost. The results show that the best accuracy in this study was able to reach 98.30%. Further analysis, this research reviews several influential features in the prediction process, namely Weight, Height and Age. Based on these results, it is hoped that they can contribute to further research. Overall, this research underlines the importance of maintaining health to avoid obesity by keeping body weight within normal limits.
Dynamics of Lumpy Skin Disease Model With Vaccination and Environmental Transmission Nurkhanifah, Nia; Suryanto, Agus; Darti, Isnani
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 1 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i1.29969

Abstract

Lumpy skin disease (LSD) is one of the cattle diseases that can spread rapidly, it is caused by lumpy skin disease virus (LSDV). LSDV can spread through direct contact, insect vectors, and contaminated environments. In this article, we propose the dynamics of a lumpy skin disease model that contains seven compartments: susceptible cattle, vaccinated cattle, infected cattle, recovered cattle, susceptible vector, infected vector, and LSDV in the environment. The non-negativity and boundedness of the solution of the proposed LSD model are shown. There are two equilibrium points: the disease-free equilibrium point which always exists, and the endemic equilibrium point which exists conditionally. The disease-free equilibrium point is locally and globally asymptotically stable when the basic reproduction number is less than unity. The endemic equilibrium is locally asymptotically stable if the Lienard-Chipart criteria is satisfied. In addition, based on the sensitivity analysis, we find that the vaccination rate is the most sensitive parameter. All analytical results have been verified by our numerical simulations.

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