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All Journal Media Statistika MATEMATIKA AdMathEduSt: Jurnal Ilmiah Mahasiswa Pendidikan Matematika AKSIOMA BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Budimas : Jurnal Pengabdian Masyarakat NUCLEUS: Jurnal Sains dan Teknologi Jurnal Pengabdian kepada Masyarakat Jurnal Pengabdian Kepada Masyarakat Aptekmas : Jurnal Pengabdian Kepada Masyarakat Journal of Community Service Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya
Purnami Widyaningsih
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Proporsionalitas Autokorelasi Spasial dengan Indeks Global (Indeks Moran) dan Indeks Lokal (Local Indicator of Spatial Association (LISA)) Saputro, Dewi Retno Sari; Widyaningsih, Purnami; Kurdi, Nughthoh Arfawi; Susanti, Ade
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 (1488.855 KB)

Abstract

Autokorelasi spasial merupakan teknik dalam analisis spasial untuk mengukur kemiripan nilai atribut dalam suatu ruang (jarak, waktu dan area). Jika terdapat pola sistematik dalam nilai atribut tersebut,maka terdapat autokorelasi spasial.Adanya autokorelasi spasial mengindikasikan bahwanilai atribut pada area tertentu terkait oleh nilai atribut tersebut pada area lain yang letaknya salingberdekatan (bertetangga). Ketetanggaan tersebut diharapkan dapat mencerminkan derajatketergantungan area (spasial) yang tinggi apabila dibandingkan dengan area lain yang letaknyaterpisah jauh.Autokorelasi spasial diukur melalui dua indeks yaitu indeks global dan indeks lokal. Indeks Moran adalah indeks global tertua yang membandingkan nilai atribut area dengan nilaiatribut area lainnya. Sementara, Local Indicator of Spatial Association (LISA)adalah indeks lokal yang dipergunakan untuk mengevaluasi kecenderungan adanya pola secara lokal dengan menunjukkan beberapa bentuk dari hubungan spasial. Indeks Moran cenderung mengabaikan pola lokal hubungan spasial sehingga LISA memberikan hubungan spasial pada setiap wilayah pengamatan. Keduanya, baik indeks global maupun lokal mempunyai nilai yang proporsional yaitu indeks Moran proporsional dengan jumlah nilai LISA melalui matriks pembobotan spasial (W) dengan taxonomic levels. Dalam artikel ini dibuktikan proporsionalitas tersebut yakni nilai indeks Moran proporsional dengan jumlah nilai LISA.
SUSCEPTIBLE VACCINATED INFECTED RECOVERED MODEL WITH THE EXCLUSIVE BREASTFEEDING AND ITS APPLICATION TO PNEUMONIA DATA IN INDONESIA Widyaningsih, Purnami; Musta'in, Ghufron; Saputro, Dewi Retno Sari
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 2 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss2pp999-1008

Abstract

The spread of infectious diseases can occur directly or indirectly. Pneumonia is an infectious respiratory tract disease. Indonesia is among the top 10 countries in the world concerning deaths caused by pneumonia. The spread of infectious diseases can be prevented through vaccination and exclusive breastfeeding, which play a role in providing body immunity. This study aims to formulate an SVIR model with exclusive breastfeeding, apply it to pneumonia in Indonesia, and determine its spread pattern and interpretation regarding the target of free pneumonia by 2030. The methods used were literature and applied studies. Through literature studies, the characteristics of infectious diseases were identified, assumptions and parameters of the model were added, and relationships between variables were determined. The applied method was to estimate the parameters and initial values of the model based on annual data on pneumonia disease in Indonesia. The formulated model is a system of first-order nonlinear differential equations. The model is applied to pneumonia based on annual data from 2013 to 2022 in Indonesia, and its solution is determined using the fourth-order Runge-Kutta method. Based on the model solution and 2021-2022 data, a MAPE value of 15% is obtained, indicating that the model is sufficiently accurate in explaining the spread of pneumonia in Indonesia. The spread pattern of pneumonia in Indonesia from 2013 to 2030 indicates a downward. However, as of 2030, there are still 67,261 individuals infected, indicating that the target of pneumonia-free Indonesia has not been achieved. Simulation shows that with exclusive breastfeeding rate value = 0.438852 and Hib vaccination rate = 0.25 it is estimated that the target of free pneumonia in Indonesia in 2030 will be achieved. The free target can also be achieved by increasing the exclusive breastfeeding rate to 73.9% and the Hib vaccination rate to 0.22.
SENTIMENT ANALYSIS OF REVIEWS ON X APPS ON GOOGLE PLAY STORE USING SUPPORT VECTOR MACHINE AND N-GRAM FEATURE SELECTION Kusumo, Fahri Aimar; Saputro, Dewi Retno Sari; Widyaningsih, Purnami
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 2 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss2pp1037-1046

Abstract

Sentiment analysis is an application of text mining that is used to find out opinions from a set of textual data about a particular event or topic. The main function of sentiment analysis is to extract information and find the meaning and opinions of a given user. Sentiment analysis requires classification algorithms, such as Support Vector Machine (SVM). SVM is a frequently used algorithm for text data classification because it can handle high-dimensional data. The concept of SVM is to determine the best hyperplane that serves as a separator of two classes in the input space. Text data with a large number of features causes data imbalance and affects the classification process so it is necessary to do feature selection. Feature selection is a technique used to reduce irrelevant attributes in the dataset. N-gram feature selection is a statistics-based approach to classifying text. N-grams are able to classify unknown text with the highest certainty. The characteristics of N-grams in sentiment analysis are that they function well despite textual errors, run efficiently, require simple storage, and fast processing time. This research aims to perform sentiment analysis on application reviews on the Google Play Store with SVM and unigram, bigram, and trigram feature selection. The methodology of this research includes conducting theoretical studies, web scraping, text preprocessing, labeling sentiments with VADER, weighting with TF-IDF, dividing data into training data (80%) and testing data (20%), training and evaluating models, classifying testing data, and interpreting results. Based on the research results, 3151 testing data were classified. SVM classification and unigram feature selection have the highest accuracy value of 90% and AUC of 0.93 (excellent). SVM classification and bigram feature selection have an accuracy value of 78% with an AUC value of 0.81 (good). SVM classification and trigram feature selection had the lowest accuracy value of 68% with an AUC value of 0.66 (poor).
Mengubah Limbah Kayu Menjadi Produk Bernilai Tinggi di Industri Kreatif Nughthoh Arfawi Kurdhi; Saputro, Dewi Retno Sari; Widyaningsih, Purnami; Sutanto, Sutanto; Setiyowati, Ririn; Sudibyo, Nugroho Arif
PaKMas: Jurnal Pengabdian Kepada Masyarakat Vol 4 No 2 (2024): November 2024
Publisher : Yayasan Pendidikan Penelitian Pengabdian Algero

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.54259/pakmas.v4i2.3252

Abstract

The UMKM involved in this community partnership program is engaged in the production of teak wood furniture. The issues currently faced are (1) a limited range of furniture products and (2) traditional management and marketing methods. This study aimed to implement technological induction to enhance productivity, creativity, and competitiveness within these UMKMs. The technological induction involved providing modern production tools for creating innovative products and developing an application boot program and server computer to enhance marketing efforts. A mixed-methods approach was used, combining case study observations and user-centred design principles to create technological solutions. The program's outcomes were assessed through partner training and mentoring, employing a problem-solving approach to address post-implementation challenges. The study found that introducing advanced production tools and digital marketing strategies significantly increased the variety of products, streamlined production processes, and expanded market reach, positioning the UMKMs for improved competitiveness in the national market. This research underscores the importance of integrating technology into small-scale industries for sustainable growth. Future efforts should focus on scaling these practices to other creative sectors for broader economic impact.
Dekomposisi Transformasi Wavelet Kontinu dengan Filter Wavelet Morlet Adzakie, Haabi Luckmanoor; Saputro, Dewi Retno Sari; Sutanto, Sutanto; Widyaningsih, Purnami; Khomariah, Nurul
NUCLEUS Vol 6 No 01 (2025): NUCLEUS
Publisher : Neolectura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37010/nuc.v6i01.2008

Abstract

Analyzing high-dimensional data often presents unique challenges, necessitating dimension reduction methods, one of which is the wavelet approach. Wavelets function as a transformation that automatically separates data into several components, then analyzes each component based on a resolution appropriate to its time scale. The Continuous Wavelet Transform (CWT) is a dimension reduction technique that relies on multiresolution decomposition to address modeling problems by generating local signal representations in the time and frequency domains (scales) continuously. Through multiresolution decomposition, trends in time series data can be separated. This transformation enables the transfer of data from the original domain into the wavelet domain for further analysis, as well as facilitating the separation of signals at both low and high frequencies more accurately. This study revisits the use of CWT, which divides data into various scales or frequency components and analyzes each part with the appropriate resolution. In this context, the Morlet wavelet filter is used. The results of the study indicate that the Morlet wavelet in CWT has advantages in detecting transient frequency components and local oscillation phenomena, making it highly effective in analyzing complex signals.
MODEL SUSCEPTIBLE VACCINATED INFECTED TREATMENT RECOVERED DENGAN KASUS KAMBUH DAN PENERAPANNYA (KASUS TUBERKULOSIS DI INDONESIA) Lestari, Arifah Mufidah; Widyaningsih, Purnami; Sutanto, Sutanto
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 4 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (572.295 KB) | DOI: 10.30598/barekengvol15iss4pp667-674

Abstract

Tuberculosis (TB) is caused by Mycobacterium tuberculosis. BCG vaccination is prevention the spread of TB in Indonesia. Individuals who are vaccinated (vaccinated) are healthy individuals and susceptible to infection. If a person is infected with TB then curative efforts through DOTS treatment must be carried out in order to recover. In the case of TB, recovered individuals may relapse. The susceptible vaccinated infected treatment recovered ( ) model with relapse cases is able to represent the spread of TB. This study aims to build the model with relapse, apply it to TB in Indonesia using data from 2004-2019, and interpret the results of implementing the TB-free target in Indonesia in 2050. The model is nonlinear first-order differential equations. The graph of the pattern of TB spread shows that all groups of individuals are experiencing an uptrend and it is predicted that the TB-free target has not been achieved. However, if the coverage of BCG vaccination and DOTS treatment is increased, contacts with TB sufferers are reduced, and relapse cases are reduced, it is predicted that the TB-free target will be achieved.
SPREADING PATTERN OF INFECTIOUS DISEASES: SUSCEPTIBLE INFECTED RECOVERED MODEL WITH VACCINATION AND DRUG-RESISTANT CASES (APPLICATION ON TB DATA IN INDONESIA) Widyaningsih, Purnami; Yumaroh, Siti Roqhilu; Saputro, Dewi Retno Sari
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 1 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss1pp0467-0474

Abstract

Mycobacterium tuberculosis is the causative agent of the infectious illness tuberculosis (TB). Indonesia is the world's third-highest TB burden country. TB transmission is prevented by the BCG vaccination. A directly observed treatment, short-course (DOTS) treatment approach can cure TB illness. Recurrent TB may occur due to either relapse or reinfection with drug-resistant bacteria. The goals of this article are formulating the SVITR model with relapse and drug-resistant cases, applying the model to the TB data in Indonesia, determining the model accuracy, determining the spreading pattern and interpreting the result, and simulating the parameters. Literature study and application methods are used in this research. The SVITR model with relapse and drug-resistant cases is a first-order nonlinear differential equation system. The model is applied to TB in Indonesia based on annual data from Indonesian Health Profile, World Bank, and WHO. The model is solved by the fourth-order Runge-Kutta method. The model is accurate enough to explain the spread of TB in Indonesia with a MAPE value of 15,5%. The spreading pattern of tuberculosis infection is upward from 2010 to 2050. In 2050, there are still 8.115.976 TB cases in Indonesia. Hence in 2050, Indonesia's free of TB target has yet to be achieved. Simulation is conducted by increasing BCG vaccination to 95%, reducing contact with TB patients to 5%, increasing treatment to 95%, and lowering relapses and drug-resistant cases to 0.00005%, so the Indonesia free of TB target in 2050 can be achieved from 2042.
SUSCEPTIBLE VACCINATED INFECTED RECOVERED SUSCEPTIBLE MODEL: EQUILIBRIA POINTS AND APPLICATION ON COVID-19 CASE DATA IN INDONESIA Widyaningsih, Purnami; Ivanni, Anas; Kurdhi, Nughthoh Arfawi
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 3 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss3pp1607-1614

Abstract

Severe Respiratory Syndrome Coronavirus-2 is the infectious agent that causes COVID-19. A vaccine program is an effort to stop the spread of COVID-19 infections in Indonesia. The susceptible vaccinated infected recovered susceptible (SVIRS) model can be used to represent the spread of infectious diseases. This study aims to construct the SVIRS model, identify the equilibria points thus apply it to COVID-19 case data in Indonesia, and determine transmission patterns, model accuracy, and interpretation. Literature and applications are the research methodologies employed. First-order nonlinear differential equations form the obtained SVIRS model. The model has two equilibrium points: a disease-free equilibrium point, and the other is endemic equilibrium point. The SVIRS model on the spread of COVID-19 in Indonesia was obtained using daily secondary data from January 11 to November 30, 2022. The model is solved by the fourth-order Runge-Kutta method. The model’s accuracy is accurate enough to explain the spread of COVID-19 in Indonesia with a mean average percentage error (MAPE) value of 43%. According to the transmission pattern, the number of COVID-19 cases in Indonesia peaked on July 27, 2022, then decreased to zero, obtaining an equilibrium point when no more cases of the disease were present.
THE BIBLIOMETRIC NETWORK TO IDENTIFY RESEARCH TRENDS IN MULTI-INPUT TRANSFER FUNCTION Indriati, Sela Putri; Saputro, Dewi Retno`Sari; Widyaningsih, Purnami
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 3 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss3pp1931-1938

Abstract

Bibliometrics has become one of the most widely used approaches to examining academic publications. Bibliometric analysis helps researchers obtain references from other researchers, strengthening recent research. In a bibliometric analysis, VOSviewer made the analysis process easier. VOSviewer is used to build and visualize bibliometric networks. This study aims to present and visualize an overview of the development of multi-input transfer function research trends and collaboration networks. The research method used is a literature review from Scopus using VOSviewer in 2007-2023. This study shows a growing trend in multi-input transfer function research, with China leading in publications. The development map of the multi-input transfer function is based on nine co-words and ten co-author clusters. The study's results are dominated by applying the model to real data. However, the estimation of multi-input transfer function parameters has yet to be carried out using a numerical approach.
PEMBERDAYAAN UMKM BERBASIS KAYU DI DESA PANDEYAN, KABUPATEN BOYOLALI: INDUKSI TEKNOLOGI DAN OPTIMALISASI LIMBAH KAYU UNTUK PRODUK KREATIF DAN BRIKET Nughthoh Arfawi Kurdhi; Dewi Retno Sari Saputro; Purnami Widyaningsih; Sutanto, Sutanto; Ririn Setiyowati; Ade Susanti; Dwi Purnama; Nugroho Arif Sudibyo
J-ABDI: Jurnal Pengabdian kepada Masyarakat Vol. 5 No. 4: September 2025
Publisher : Bajang Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Program pengabdian masyarakat ini bertujuan memberdayakan UMKM berbasis kayu di Desa Pandeyan, Kabupaten Boyolali, melalui induksi teknologi dan optimalisasi pemanfaatan limbah kayu menjadi produk kreatif dan briket ramah lingkungan. Desa Pandeyan memiliki potensi kayu yang melimpah, namun selama ini limbah kayu belum termanfaatkan secara optimal sehingga menimbulkan masalah lingkungan dan hilangnya nilai tambah ekonomi. Kegiatan dilaksanakan melalui pelatihan teknologi induksi, workshop pengolahan limbah kayu, pembuatan briket, pendampingan produk kreatif, serta dukungan hibah laptop, kamera, dan domain hosting untuk digital marketing. Hasil kegiatan menunjukkan peningkatan keterampilan UMKM dalam mengolah limbah kayu menjadi produk bernilai tinggi, sekaligus memperluas akses pasar melalui platform digital Martha Meubel. Program ini berdampak positif secara teknis, ekonomi, sosial, dan lingkungan, serta berpotensi menjadi model replikasi bagi pengembangan ekonomi kreatif berkelanjutan.
Co-Authors Ade Susanti Adzakie, Haabi Luckmanoor Dewi Retno Sari Saputro Dewi Retno Sari Saputro, Dewi Retno Dwi Purnama Indriati, Sela Putri Ivanni, Anas Khomariah, Nurul Kusumo, Fahri Aimar Lestari, Arifah Mufidah Musta'in, Ghufron Nughthoh Arfawi Kurdhi, Nughthoh Arfawi Nugroho Arif Sudibyo Ramadhanti, Fajhria Budi Ririn Setiyowati Ririn Setyowati Saputro, Dewi Retno`Sari Setiyowati, Ririn Sulistyaningsih Sulistyaningsih Sutanto Sutanto Sutanto sutanto sutanto Sutanto Sutanto Vania, Kezia Abigail Warih Ariskarini Yumaroh, Siti Roqhilu