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PENDEKATAN VALUE BILANGAN TRAPEZOIDAL FUZZY DALAM METODE MAGNITUDE Aulia, Lathifatul; Irawanto, Bambang; Surarso, Bayu
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1054.25 KB)

Abstract

Defuzzification is the process to transform fuzzy numbers into real numbers (crisp). There are some defuzzification methods which can be used to confirm the fuzzy numbers. However, different defuzzification methods produce different real numbers (crisp) too. In this paper, we discuss about Magnitude method, that is an approachment method which can be used in the defuzzification of trapezoidal fuzzy numbers. The defuzzification method  in the calculation considers average between the value of trapezoidal fuzzy numbers and the middle point of two defuzzifier trapezoidal fuzzy numbers
MODELING PREDICTIVE TRACKING CONTROL FOR MAX-PLUS LINEAR SYSTEMS IN MANUFACTURING Lathifatul Aulia; Widowati Widowati; R. Heru Tjahjana; Sutrisno Sutrisno
Journal of Fundamental Mathematics and Applications (JFMA) Vol 3, No 2 (2020)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (491.691 KB) | DOI: 10.14710/jfma.v3i2.8605

Abstract

Discrete event systems, also known as DES, are class of system that can be applied to systems having an event that occurred instantaneously and may change the state. It can also be said that a discrete event system occurs under certain conditions for a certain period because of the network that describes the process flow or sequence of events. Discrete event systems belong to class of nonlinear systems in classical algebra. Based on this situation, it is necessary to do some treatments, one of which is linearization process. In the other hand, a Max-Plus Linear system is known as a system that produces linear models. This system is a development of a discrete event system that contains synchronization when it is modeled in Max-Plus Algebra. This paper discusses the production system model in manufacturing industries where the model pays the attention into the process flow or sequence of events at each time step. In particular, Model Predictive Control (MPC) is a popular control design method used in many fields including manufacturing systems. MPC for Max-Plus-Linear Systems is used here as the approach that can be used to model the optimal input and output sequences of discrete event systems. The main advantage of MPC is its ability to provide certain constraints on the input and output control signals. While deciding the optimal control value, a cost criterion is minimized by determining the optimal time in the production system that modeled as a Max-Plus Linear (MPL) system. A numerical experiment is performed in the end of this paper for tracking control purposes of a production system. The results were good that is the controlled system showed a good performance.
Forecasting Palm Oil Production Using Fuzzy Time Forecasting Two-Factor Cross Associations with Frequency Density Partitions Ratri Wulandari; Lathifatul Aulia
Seminar Nasional Official Statistics Vol 2022 No 1 (2022): Seminar Nasional Official Statistics 2022
Publisher : Politeknik Statistika STIS

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (376.105 KB) | DOI: 10.34123/semnasoffstat.v2022i1.1103

Abstract

Economic decisions have many determining factors based on estimates of macroeconomic variables. The accuracy of decision estimates can have an important impact. Forecasting is a method to reducing uncertainty about the future, because of economic decisions have multi-factor problems, the high order fuzzy time series forecast method is more suitable than the first order fuzzy time series forecast. Predictions are made for main factors by taking influence from both factors. FLR reflects the relationship between the premise and consequence. In this paper will be discussed fuzzy time series forecasting multi-factor one order cross association based on frequency density partition as a forecasting method to forecast palm oil production with influenced by large of the area. The results of the estimates show that the proposed method has a high forecast performance, with AFER value is according to the AFER criteria table 10%, it can be concluded that the forecast has very good criteria
Pemanfaatan Formula Logika Dalam Microsoft Excel Untuk Analisis Data Yang Efektif Diana, Arista Fitri; Ikhtiyar, Zakaria Bani; Aulia, Lathifatul
Intimas Vol 4 No 1 (2024)
Publisher : Fakultas Teknologi Informasi dan Industri Unisbank

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35315/intimas.v4i1.9757

Abstract

Penggunaan formula logika dalam Microsoft Excel memberikan keunggulan analitis yang signifikan dalam mengolah dan menganalisis data. Pelatihan ini dirancang untuk memeperkenalkan peserta pada berbagai formula logika Excel serta mendemonstrasikan cara mengaplikasikannya dalam konteks analisis data yang konkret. Pelatihan ini akan mencakup pemahaman mendalam tentang formula logika meliputi fungsi IF, NESTED IF, AND/OR, dan Conditional Formatting. Peserta akan memperoleh pemahaman yang kokoh tentang bagaimana menggunakan formula logika untuk mengambil keputusan, menemukan tren, dan memberikan solusi terhadap permasalahan kompleks. Melalui studi kasus dan latihan interaktif, peserta akan belajar mengidentifikasi skenario dimana formula logika dapat meningkatkan efisiensi analisis data. Hasil dari pelatihan ini diharapkan mampu memberikan kontribusi positif terhadap peningkatan produktivitas, ketepatan keputusan, dan efisiensi operasional dalam lingkungan kerja peserta. Selain itu, dapat memfasiliti penggunaan Excel sebagai alat analisis data yang lebih kuat dan efektif dalam mendukung pengambilan keputusan yang lebih informasional dan tepat sasaran
Optimizing Medical Image Security Using Combined DWT-DCT-SVD Watermarking and RLE Compression Strategies Mahiruna, Adiyah; Ngatimin, Ngatimin; Aulia, Lathifatul; Oleiwi, Ahmed Kareem; Rachmawanto, Eko Hari
Journal of Intelligent Computing & Health Informatics Vol 5, No 1 (2024): March
Publisher : Universitas Muhammadiyah Semarang Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26714/jichi.v5i1.14256

Abstract

Medical images, including MRI, CT, ultrasound, X-rays, and ECG, are crucial for diagnostics; however, they present significant data security challenges. This study introduces a novel watermarking technique that utilizes discrete wavelet transform (DWT), discrete cosine transform (DCT), and singular value decomposition (SVD) to enhance the security, confidentiality, and integrity of medical images. In addition, Run Length Encoding (RLE) is implemented for efficient compression, which significantly reduces data memory requirements. The proposed method demonstrated a notable improvement in the peak signal-to-Noise Ratio (PSNR), increasing by up to 5 dB compared to existing techniques, and achieved a file size reduction of 15-30%. These advances ensure that high-quality images consume less storage space while maintaining diagnostic integrity. The improved PSNR values indicate that the watermark remains imperceptible, making the proposed method highly effective for clinical applications. Compared to existing methods, the proposed method offers enhanced robustness against digital attacks and better image quality preservation. These findings support the secure and efficient handling of medical image data, thereby promoting their use in clinical environments.
Peningkatan Produktivitas Karyawan PT. NBI melalui Pelatihan Microsoft Excel sebagai Strategi dalam Pengelolaan Data Perusahaan Aulia, Lathifatul; Zakaria Bani Ikhtiyar; Agung Ginanjar; Arista Fitri Diana
Jurnal Atma Inovasia Vol. 4 No. 5 (2024)
Publisher : Lembaga Penelitian dan Pengabdian pada Masyarakat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24002/jai.v4i5.9436

Abstract

PT Nusantara Building Industries (NBI) is one of the national private companies located in Central Java Province which is engaged in the building materials industry in the form of symmetrical corrugated cement chrysotile fiber sheets. PT NBI tries to meet the needs of consumers according to demand and make various innovations in producing its products. Therefore, it is necessary to carry out a training to improve the soft skills of PT NBI employees in the form of Microsoft Excel training. Microsoft Excel is a software application used to carry out various activities, including data analysis, graph making, complex calculations, and various other tasks. Based on the purpose of implementing community service activities, namely increasing employee productivity. So that the implementation of this training is in accordance with the objectives, namely being able to assist PT NBI employees in finding effective ways to manage and analyze company data. In addition, it can increase understanding in the use of Microsoft Excel. The focus of Microsoft Excel training on the AND/OR function is used to perform logical evaluation of several conditions or criteria. This training is designed to introduce the use of AND/OR functions in the company. This method aims to increase the effectiveness and efficiency of work when encountering cases in several conditions or criteria. The evaluation results of the training implementation showed a good level of acceptance from PT NBI employees towards understanding and using the AND/OR formula. Keywords — Enterprise, Microsoft Excel, AND/OR Function, Data Analysis.
Analisis Kestabilan Lokal Model Transmisi Demam Berdarah Dengue Diana, Arista Fitri; Hajar, Muhammad Ibnu; Ikhtiyar, Zakaria Bani; Aulia, Lathifatul
Square : Journal of Mathematics and Mathematics Education Vol 6, No 1 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.1.21018

Abstract

Dengue fever transmission in Indonesia has an advanced amount. In this article, dynamic model of interaction between human and Aedes aegypti mosquitos is learned. The SEIRRD (Susceptible, Exposed, Infected, Recovered, Deceased) model is used in this article. The prurpose in this model is to describe the stability of dengue transmission, so that we can analyze the developed of epidemic model in mathemtic field. Using NGM method to analyze basic reproduction number and applying Routh-Hurwitz criteria method to show the local stability of model. Then, two equilibrium points, called endemic and non-endemic equilibrium points, are obtained. The result of basic reproduction number is described the stability analysis. If basic reproduction number less then one, the endemic equilibrium point is locally asymptotically stable and otherwise. Local stability analysis at the equilibrium point is determined through parameter analysis. Furthermore, numerical simulations are carried out by fitting the data to obtaine the result of the parameters. The results of numerical simulations explaine the spread of dengue transmission Keywords: Dynamic Model, Epidemic Model, Equilibrium Point, Local Stability, Routh Hurwitz
Penerapan Regresi Linier Sederhana dalam Peramalan Nilai Ekspor dan Impor di Provinsi Jawa Tengah Muhammad Sulthan Madany; Aini Mawar Mardiyah; Lathifatul Aulia
EKONOMIKA45 :  Jurnal Ilmiah Manajemen, Ekonomi Bisnis, Kewirausahaan Vol. 10 No. 1 (2022): Desember : Jurnal Ilmiah Manajemen, Ekonomi Bisnis, Kewirausahaan
Publisher : Fakultas Ekonomi Universitas 45 Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30640/ekonomika45.v10i1.3215

Abstract

Central Java Province, one of the economic centers in Indonesia, has significant and diverse export and import activities. Understanding the patterns and factors that influence the value of exports and imports is expected to provide deeper insight into the economic condition of the region, as well as support more targeted policies. The simple linear regression method identifies the relationship between one independent variable and one dependent variable. The dependent variables used are the amount of goods produced (estimated exports) and local consumption (estimated imports). This study aims to estimate the value of exports and imports in Central Java Province using the simple linear regression method. The secondary data used in this study are from the Central Statistics Agency (BPS) and other related agencies during the 2019-2021 period. The resulting simple linear regression model shows a good level of accuracy with a high coefficient of determination (R²), indicating the model is able to explain variations in the value of exports and imports based on the specified dependent variable. Through regression analysis, this study established a significant relationship between time and changes in export and import values. The resulting model provides a strong basis for predicting future export and import values, so that it can be used as a reference for policy makers in formulating effective trade strategies at the regional level.
Model Kontrol Pada Ekosistem Perkebunan Teh Diana, Arista Fitri; Romadan, Gilang; Khumaeroh, Mia Siti; Aulia, Lathifatul; Iktiyar, Zakaria Bani
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.23274

Abstract

Tea plants are one of the commodities in Indonesia. In their development, the plantation ecosystem is heavily influenced by several factors, both internal and external factors. In the field of applied mathematics, mathematical modelling can be used to analyze the development of tea plant growth and their interaction each othe in their ecosystem. The mathematical model in this research is combining three main models, there are logistic model, epidemiological model, and predator prey model by adding fungicide and insecticide controls. Furthermore, local stability analysis is carried out and the optimal control problem is solved by Pontryagin maximum principle. The results of the analysis obtained five equilibrium points. Local stability analysis was carried out using the Routh Hurwitz criteria which showed the fifth equilibrium point is locally asymptotically stable. The basic reproduction number in the model is 0,99. Because  it can be concludeed that there is no spread of disease in the tea plantation ecosystem after a period of 5 years. The control provided can reduce pest and disease attacks. After being given control, the population of infected tea plants decreased by 93,21%, Empoasca pests decreased by 99,47%, and leaf roller caterpillars decreased by 99,31% compared to the model that was not given control.Keywords: Tea Plantation, Dynamical Model, Fungicide, Insecticide, Optimal Control.
Pendekatan Momen untuk Metode Magnitude pada Bilangan Trapezoidal Fuzzy Aulia, Lathifatul; Irawanto, Bambang; Surarso, Bayu
Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya 2018: Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1575.509 KB)

Abstract

Teori himpunan fuzzy banyak diterapkan dalam berbagai disiplin ilmu. Para ahli telah banyak yang mengusulkan beberapa pendekatan untuk memecahkan masalah yang menggunakan himpunan bilangan fuzzy. Hal utama yang perlu dilakukan dalam menyelesaikan suatu permasalahan yang menggunakan bilangan fuzzy yaitu defuzzifikasi. Defuzzifikasi merupakan proses mentransformasikan bilangan fuzzy menjadi bilangan riil tegas atau disebut dengan penegasan bilangan fuzzy. Ada beberapa metode yang dapat digunakan untuk menegaskan suatu bilangan fuzzy. Setiap metode penegasan bilangan fuzzy yang berbeda akan menghasilkan bilangan tegas (crisp) yang berbeda pula. Pada tulisan ini, dibahas metode Magnitude yaitu merupakan metode pendekatan yang ditunjukkan dengan perhitungan momen daerah rata-rata yang mempertimbangkan fungsi keanggotaan bilangan fuzzy, penyebaran fungsi kenggotaan kanan, dan fungsi keanggotaan kiri pada beberapa potongan –