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Integra: Journal of Integrated Mathematics and Computer Science
Published by Universitas Lampung
ISSN : -     EISSN : 31091792     DOI : https://doi.org/10.26554/integrajimcs
Core Subject : Science, Education,
Computer Science & IT Mathematics
Integra : Journal of Integrated Mathematics and Computer Science is the international journal in the field of Mathematics and Computer Science. Integra : Journal of Integrated Mathematics and Computer Science publish original research work both in a full article or in a short communication form, review article, and technical article in the field of Mathematics and Computer Science. Scope of this journal is : Mathematics Applied Mathematics Statistics Applied Statistics Data Science Computer Science
Arjuna Subject : Matematika - Matematika Komputer
Articles 37 Documents
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Modeling the Dimensions of Globalization, Economic Growth, Inequality, and Poverty in Indonesia Using VAR/VECM Method Nindien, Qurrota Ayu; Ikhsana, Nadya Ramadhani; Armunanto, Yohanes Novi
Integra: Journal of Integrated Mathematics and Computer Science Vol. 2 No. 3 (2025): November
Publisher : Magister Program of Mathematics, Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/integrajimcs.20252345

Abstract

This study analyzes the relationship between various dimensions of globalization, economic growth indicators, inequality, and poverty in Indonesia using a VECM framework. All variables are stationary at the first difference, and the Johansen cointegration test identifies four cointegrating vectors, indicating a long-run equilibrium among poverty (POV), FDI, inequality (GR), unemployment (UE), economic openness (IEG), economic cooperation (IEC), and social openness (ISG). Based on the Akaike Information Criterion (AIC), a lag order of two is selected, and the VAR stability test confirms that the model is valid. In the long run, FDI, GR, UE, IEG, and ISG significantly influence poverty, whereas IEC shows no significant effect. FDI, IEG, GR, and ISG contribute to poverty reduction, while UE increases poverty. No variable exhibits short-run significance, but the significant error correction term (ECT) reflects a gradual adjustment toward long-term equilibrium. The FEVD results show that up to the tenth period, the variance in POV is primarily explained by POV itself (63.97%), followed by ISG (15.77%), GR (12.76%), and UE (5.49%), whereas FDI, IEG, and IEC contribute less than 1%. Overall, poverty dynamics in Indonesia are largely driven by their own persistence, with additional contributions from social openness and inequality.
Application of State Space Representation on Vector Autoregressive (VAR) Models for Forecasting Oktaviana S.; Widiarti; Usman, Mustofa; Russel, Edwin; Daoud, Jamal I.
Integra: Journal of Integrated Mathematics and Computer Science Vol. 3 No. 1 (2026): March
Publisher : Magister Program of Mathematics, Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/integrajimcs.20263141

Abstract

Various analytical techniques are available for modeling multivariate time series data. One such approach is the State Space Model, which can be employed to model this type of data. In this study, the data to be analyzed are data on the Indonesia Rupiah (IDR) exchange rate (ExR) against the US Dollar (USD), oil and gas exports (OGE), money supply (MS) and non-oil and gas exports (non-OGE) from January 2008 to December 2019. The aim of this study is to identify the most suitable state space model for the given data. In this research, the state space method will be applied to multivariate time series data, with the state space represented in the Vector Autoregressive (VAR) model to explore the interrelationships among groups of observed variables. The VAR model is a statistical technique used to analyze the relationships between variables in the dataset, employing the Granger Causality Test. The state space model is utilized to model and forecast multiple interconnected time series, where the variables exhibit dynamic interactions and to examine additional unobserved variables in the time series data. Based on the analysis results and the minimum value of the Akaike Information Criterion (AIC), the optimal VAR model identified is the VAR (6) model. The results of forecasting values using the state space model show that the predicted values and the real values for the state space model are very closed to each other.
Upper and Lower Approximations of Subsemimodules in Semimodules over Semirings Bonde, D. R.; Ingale, K. J.; Bendale, H. P.
Integra: Journal of Integrated Mathematics and Computer Science Vol. 3 No. 1 (2026): March
Publisher : Magister Program of Mathematics, Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/integrajimcs.20263144

Abstract

This paper develops a rough set–theoretic framework for semimodules over commutative semirings using the Bourne relation induced by subsemimodules and partitioning subsemimodules. Upper and lower approximations of subsets and subsemimodules are introduced and systematically analyzed. Necessary and sufficient conditions under which these approximations constitute subsemimodules are established, with particular emphasis on subtractive extensions. Several examples are provided to illustrate the theory. The results extend rough set theory to semimodule contexts and furnish a coherent algebraic framework for additive inverse-free structures.
Note for Soft MultiExpert Graph and MultiSoft MultiExpert Graph Fujita, Takaaki
Integra: Journal of Integrated Mathematics and Computer Science Vol. 3 No. 1 (2026): March
Publisher : Magister Program of Mathematics, Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/integrajimcs.20263146

Abstract

This paper studies multilevel extensions of soft-set-based graph models for uncertainty aware decision support. We first recall soft, multisoft, soft expert, and multisoft multi expert sets, which encode parameterized and expert-dependent approximations of a universe. Building on these notions, we introduce the MultiSoft Graph, a family of induced subgraphs of a given graph indexed by multilevel parameter blocks, and show that it strictly generalizes classical soft graphs while inducing a canonical multisoft set on the vertex set. We then define Soft MultiExpert Graphs and MultiSoft MultiExpert Graphs, providing a unified framework that jointly handles graph topology, multiple parameters, and expert opinions.
Approximation Method for Solving Rectangular Guillotine Cutting-Stock Problems Abdul Rahman; Ihda Hasbiyati; Wamiliana; Gamal, Moh Danil Hendry
Integra: Journal of Integrated Mathematics and Computer Science Vol. 3 No. 1 (2026): March
Publisher : Magister Program of Mathematics, Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/integrajimcs.20263148

Abstract

Rectangular cutting-stock problems are fundamental optimization challenges in manufacturing industries, where the objective is to cut rectangular items from larger sheets while minimizing material waste. This paper introduces an approximation approach to solve rectangular cutting-stock problems with guillotine cuts, where cutting patterns are produced through a column generation framework. In the proposed approach, the master problem determines an optimal combination of cutting patterns, while new patterns are generated through pricing subproblems formulated as knapsack problems. Dynamic programming is employed to efficiently solve these knapsack subproblems, enabling the identification of high-quality cutting patterns. By iteratively enriching the pattern set, the method approximates the optimal solution without requiring exhaustive enumeration of all feasible patterns. The method offers a practical and scalable solution for rectangular cutting-stock problems encountered in real-world practice.
Characterization and Cartesian Product of Smarandache Semigroups (S-semigroups) Fadhilah, Laila Karimatul; Suryoto; Nikken Prima Puspita; Titi Udjiani
Integra: Journal of Integrated Mathematics and Computer Science Vol. 3 No. 1 (2026): March
Publisher : Magister Program of Mathematics, Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/integrajimcs.20263149

Abstract

Let (S, *) be a semigroup. A semigroup S is called a Smarandache semigroup (or S-semigroup) if it contains a proper subset A ⊂ S such that (A, *) forms a group under the same binary operation defined on S. In general, not every semigroup admits a proper subset that is a group; hence, not all semigroups are S-semigroups. In this paper, several structural conditions related to Smarandache semigroups are investigated. In particular, we study the role of idempotent and completely regular elements in the structure of S-semigroups. These conditions provide a characterization of S-semigroups. Furthermore, this study investigates whether the Cartesian product of two or more S-semigroups is again an S-semigroup.
Optimizing Protection Settings at PT PLN (PERSERO) UP2D Lampung through User-Centered Design and Model-View-Controller Architecture Shofiana, Dewi Asiah; Heningtyas, Yunda; Ayuni, Siti
Integra: Journal of Integrated Mathematics and Computer Science Vol. 3 No. 1 (2026): March
Publisher : Magister Program of Mathematics, Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/integrajimcs.20263151

Abstract

The rational basis for this research is the need to strengthen a Protection Management Information System in PT Perusahaan Listrik Negara (PLN) (Persero) UP2D Lampung so that it can implement monitoring and control systems or applications management protection settings quickly & accurately on electrical distribution system. Currently the company is using a manual process that uses Microsoft Excel, which is time-consuming and subject to human errors resulting in system reliability issues. In this paper, a new web-based system is developed based on the User-Centered Design (UCD) approach to provide an easy and friendly interface for field operators to handle filling process. Using the MVC (Model View Controller) architectural design pattern with CodeIgniter 4, it has structured and modularized code for easy maintenance and update. It automatically processes protection data, such as the Over Current Relay (OCR) and Ground Fault Relay (GFR) settings, its output to manager in a form easy to understand. The prototype was tested for usability via the User Equation Questionnaire (composed of Likert scale questions) with 19 respondents, allowing to determine a high usability score of 93.78% and validating the strong user satisfaction. The results of this study are expected to lead to the implementation of a reliable system with a user-friendly interface, ultimately enhancing the reliability of the electrical distribution system and speeding up responses to electrical issues in the Lampung region.

Page 4 of 4 | Total Record : 37

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