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INDONESIA
Journal of the Indonesian Mathematical Society
Published by Indonesian Mathematical Society
ISSN : 20868952     EISSN : 24600245     DOI : -
Core Subject : Education,
Mathematics
Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications.
Arjuna Subject : -
Articles 625 Documents
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Representation Matrices of Coprime Graph of Generalized Quaternion Group Zahidah, Siti; Zulfikar, Ahmad Nadimas; Estuningsih, Nenik; Erfanian, Ahmad
Journal of the Indonesian Mathematical Society Vol. 31 No. 3 (2025): SEPTEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i3.1772

Abstract

This study discusses the representation matrices of coprime graph of generalized quaternion group. The representation matrices are adjacency matrix, antiadjacency matrix, Laplacian matrix, and signless Laplacian matrix. Furthermore, the eigenvalues of each representation matrices are determined. As the results, we obtained the construction of the four representation matrices and their eigenvalues. Based on the matrix form, we got the matrix determinant is zero, so that the matrices have zero eigenvalues except signless Laplacian matrix. As for the non-zero eigenvalues, the values depends on the type of representation matrices and the order of the graph as well as its algebraic multiplicity.
Bipolar Fuzzy Filters in BL-Algebras Alqahtany, Manal Abdullah; Dale, Tanisha Bhagwan
Journal of the Indonesian Mathematical Society Vol. 31 No. 3 (2025): SEPTEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i3.1821

Abstract

This research introduces and examines the novel concept of filters in BL-algebras constructed upon bipolar fuzzy structures. Specifically, we present the formulation of bipolar fuzzy filters (BFFs) within the context of BL-algebras and conduct a comprehensive investigation of their associated properties. This work extends the traditional notion of filters in BL-algebras by incorporating the bipolarity aspect of fuzzy logic, thereby providing a more nuanced framework for analyzing logical structures. Our study not only establishes the fundamental definitions but also explores the theoretical implications and characteristics of these bipolar fuzzy filters, contributing to the broader understanding of many-valued logic systems and their algebraic representations.
An Imprecise High-Order Fuzzy Time Series Model Forecasting the Stocks Traded Using Central-Log-Ratio Transformation of Compositional Data Khan, Muhammad Shahbaz; Talpur, Mir Ghulam Hyder; Aslam, Muhammad
Journal of the Indonesian Mathematical Society Vol. 31 No. 3 (2025): SEPTEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i3.1850

Abstract

Malaysia, Indonesia, and Thailand countries have half of the trade in the group of the Association of Southeast Asian Nations (ASEAN) members. An agreement has increased the importance of trade coalition without the US dollar among them. To understand the pattern of the Stock Traded in these countries, this study developed ample fuzzy time series foretelling models. An innovative data transformation approach called compositional data is employed. The Fuzzy Time series models are implemented with different orders of fuzzy logical relationships. The Trapezoidal and Spline S-shaped membership functions are engaged in these models. The performance of forecasting is evaluated through the compositional root mean square error (CRMSE) and compositional mean absolute percentage error (CMAPE). The analysis of forecasted accuracy measurements showed that the Third-Order Fuzzy Time Series model with a Trapezoidal membership function outclassed other orders models. It is also observable that Thailand's stock traded values increased compared to Malaysia and Indonesia.
On Sombor Energy of the Nilpotent Graph of the Ring of Integers Modulo ε Putra, Lalu Riski Wirendra; Albaracin, Jimboy R.; Wardhana, I Gede Adhitya Wisnu
Journal of the Indonesian Mathematical Society Vol. 31 No. 3 (2025): SEPTEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i3.1856

Abstract

In chemical graph theory, chemical compounds are represented as graphs where atoms are represented as vertices, and the bonds connecting the atoms are represented as edges. In 2021, Gowtham and Swamy discovered another type of graph energy, called the Sombor energy. This discovery was motivated by Gutman's introduction of the Sombor index in the same year. In the field of abstract algebra, rings can also be represented as graphs. In this article, we aim to explore the Sombor energy of some nilpotent graphs of rings, particularly the ring of integers modulo ε.
Soft S-Paracompact Space Kumasi, Vishwanath; Thankachan, Baiju
Journal of the Indonesian Mathematical Society Vol. 31 No. 3 (2025): SEPTEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i3.1869

Abstract

This paper introduces a new topological class called soft S-paracompact spaces. These spaces generalize the concept of soft paracompact spaces. A soft topological space is considered soft S-paracompact if every soft open cover has a locally finite soft semi-open refinement. We explore the key properties of soft S-paracompact spaces and investigate their relationships with other well-established soft topological spaces. We depict an application of soft S-paracompactness in the decision-making problem.
Semiparametric Bivariate Probit Model Early Breastfeeding Initiation and Exclusive Breastfeeding Amalia, Suci; Ratnasari, Vita; Zain, Ismaini
Journal of the Indonesian Mathematical Society Vol. 31 No. 3 (2025): SEPTEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i3.1952

Abstract

Regression analysis in which the response variable is categorical can be processed using the probit model. The probit model is based on the normal distribution, in addition to its interpretation based on marginal effect values. A probit model consisting of two response variables is called the bivariate probit model, in which the response variables each consist of two categories. The predictor variables in bivariate probit model can be either categorical and also continuous data. Bivariate probit model both response variables have a relationship. One of the developments of the bivariate probit model is the semiparametric bivariate probit model, where the bivariate probit model in which there is a parametric and a nonparametric model in this case in the form of a continuous covariate smooth function. Semiparametric bivariate probit model have the advantage of being able to address the problem of nonlinearity of undetected continuous predictor variables that can cause modeling inaccuracies that can effect the results of estimation accuracy. Parameter estimation of semiparametric bivariate probit model uses the Penalized Maximum Likelihood Estimation approach, but the equation obtained is not closed form so iteration are needed to solve it. The iteration used is Fisher Scoring. The semiparametric bivariate probit model was applied to data on early breastfeeding initiation and exclusive breastfeeding in East Java Province in 2021 with variables that affect early breastfeeding initiation being birth attendants while those affecting exclusive breastfeeding are maternal age and maternal education level.
Implementation of Dual Reciprocity Boundary Element Method to Solve The Mathematical Model of Steady Infiltration in Heterogeneous Soils Vertically Paa, Armando Deminto; Solekhudin, Imam
Journal of the Indonesian Mathematical Society Vol. 31 No. 3 (2025): SEPTEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i3.1964

Abstract

The Dual Reciprocity Boundary Element Method (DRBEM) is applied to Richards' equation for steady infiltration in unsaturated soil. The types of soil observed are Guelph Loam (GL) and Pima Clay Loam (PCL). A mathematical model for infiltration in heterogeneous unsaturated soil is built using Richards' equation and the Gardner model, with GL and PCL soil parameters. The heterogeneous soil types include GL-PCL and PCL-GL, where each soil is assumed to vary linearly in the vertical direction. This study investigates infiltration in vertically heterogeneous soils. Using DRBEM, the numerical simulation results of hydraulic conductivity are obtained as an approximation of the constructed mathematical model. Based on the numerical results of the hydraulic conductivity, the soil water potential values can be calculated using the Gardner model. The results of this study provide the distribution of the water content under steady-state conditions in heterogeneous soils, determined by hydraulic conductivity and soil water potential.
Existence of Fixed Points in Neutrosophic Bipolar Fuzzy Metric Spaces with Application Gupta, Vishal; Anju, Anju; Thakur, Deepti; Sehgal, Ishit
Journal of the Indonesian Mathematical Society Vol. 31 No. 3 (2025): SEPTEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i3.1601

Abstract

In this paper, we aim to introduce and explain the concept of neutrosophic fuzzy bipolar metric spaces and provide some fixed point results in this new setting. Additionally, we give a detailed presentation of the proof of fixed point theorems using covariant maps, showing how our findings extend and generalize those established in the existing body of literature. The derived results are supported with a suitable example and an application.
Premiums of Deposit Insurance with Maximum Limit Under the Black-Scholes Model Puspita, Dila; Delima, Anggun Citra; Mukhaiyar, Utriweni; Eka, Maharani; Azis, Rheznandya Arkaputra
Journal of the Indonesian Mathematical Society Vol. 31 No. 2 (2025): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i2.1792

Abstract

Deposit insurance is an important mechanism in protecting bank customers from the risk of bankruptcy and providing a sense of security for their savings. Under deposit insurance, customers will still receive a refund of their funds up to a certain limit determined by the deposit insurance agency. This research aims to construct a formula to calculate the premium of deposit insurance with a given upper claim limit. To the best of the authors' knowledge, this article is the first study that gives a formula for deposit insurance premiums with a coverage limit. First, we present a theorem that shows the equivalence between the claim of deposit insurance with coverage limit with the payoff of two put options. Secondly, under the assumption that the asset follows Geometric Brownian Motion, we determine the fair price of the premium of deposit insurance. The main research findings indicate that the sum of two Black-Scholes options with different strike prices can be used to determine the premium value of deposit insurance while considering the applied coverage limits. Finally, we simulate some sensitivity analysis to gain a deeper understanding on the impact of several important variables on the magnitude of premium. Based on sensitivity analysis, it is found that the premium value is inversely proportional to interest rates and directly proportional to asset price volatility.
Representation Theory of Recurrent Neural Network Wanditra, Lucky Cahya; Alamsyah, Intan Muchtadi; Nasution, Dellavitha
Journal of the Indonesian Mathematical Society Vol. 31 No. 2 (2025): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i2.1833

Abstract

In this paper, we use the representation morphism concept to analyze the connection between two recurrent neural networks, primarily when we evaluate the neural network function between two isomorphic neural networks. We construct the set of all isomorphic classes of recurrent neural networks. We build the set by the action of the isomorphism group on the set of all recurrent neural networks that have invertible weight. By the group’s action, we get the set of orbits and call it the moduli space. We analyze the moduli space to get its dimensions.

Page 61 of 63 | Total Record : 625

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