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Penentuan Lama Gerak Motor pada Lintasan Berbentuk Lingkaran Menggunakan Interpolasi Lagrange Alifandi, Mahrus; Kuzairi, Kuzairi
Zeta - Math Journal Vol 2 No 2 (2016): November
Publisher : Universitas Islam Madura

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (682.311 KB) | DOI: 10.31102/zeta.2016.2.2.46-50

Abstract

Gerak dapat didefisinikan sebagai suatu momen atau kejadian dimana suatu benda mengalami perpindahan dari suatu tempat ke tempat lain. Dalam gerak ini, suatu benda bergerak mengikuti lintasan berupa lingkaran. Salah satu contoh gerak melingkar adalah perlombaan sepeda motor yaitu perlombaan motor yang mengadaptasi dari jalan raya dan kemudian diterapkan di sirkuit yang mana peserta harus memutari sirkuit sesuai putaran yang ditetapkan penyelenggara. Kejuaraan road race peserta harus melintasi tiga kali putaran sirkuit yang artinya akan ada 3 titik yang akan ditempuh dan setiap putaran waktu yang ditempuh tidak akan sama. Dalam memecahkan masalah ini diperlukan pendekatan-pendekatan yaitu mengunakan stopwatch. Nilai-nilai tersebut merupakan nilai dari jumlah masing-masing waktu dan panjang lintasan dari hasil penelitian kejurda putaran terahir motor bebek 4 kelas 110 cc dan 125 cc setiap satu kategori ada 6 nomer lomba, mp 1, mp 2, mp 3, mp 4, mp 5, dan mp 6. Waktu yang telah di lakukan perbandingan dalam 1,2, dan 3 putaran, menggunakan metode interpolasi lagrange.
Estimator Deret Fourier Dalam Regresi Nonparametrik dengan Pembobot Untuk Perencanaan Penjualan Camilan Khas Madura Sholiha, Anisatus; Kuzairi, Kuzairi; Madianto, M. Fariz Fadillah
Zeta - Math Journal Vol 4 No 1 (2018): Mei
Publisher : Universitas Islam Madura

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (185.657 KB) | DOI: 10.31102/zeta.2018.4.1.18-23

Abstract

The purpose of regression analysis is determining the relationship between response variables to predictor variables. To estimate the regression curve there are three approaches, parametric regression, nonparametric regression, and semiparametric regression. In this study, the estimator form of nonparametric regression curve is analyzed by using the Fourier series approach with sine and cosine bases, sine bases, and cosine bases. Based on Weighted Least Square (WLS) optimization, the estimator result can be applied to model the sale planning of Madura typical snacks. Nonparametric regression estimators with the Fourier series approach are weighted with uniform and variance weight. The best model that be obtained in this study for uniform weight, based on cosine and sine basis with GCV value ​​of 1541.015, MSE value of 0.1375912 and determination coefficient value of 0.4728418%. The best model for variance weight is based on cosine and sine basis with a GCV value of 1541.011, MSE value of 0.1375912 and determination coefficient of 0.4728227%.
Penerapan Fuzzy ANP untuk Menentukan Madu Asli di Kabupaten Sumenep Lailiyah, Siti; Kuzairi, Kuzairi; Yulianto, Tony
Zeta - Math Journal Vol 6 No 2 (2021): November
Publisher : Universitas Islam Madura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31102/zeta.2021.6.2.67-72

Abstract

Madu telah dikenal sebagai salah satu bahan makanan atau minuman yang mempunyai peranan penting dalam kehidupan dan kesehatan. Namun tidak semua madu yang kita konsumsi bermanfaat untuk kesehatan, karena keaslian dan kualitas madu juga sangat berpengaruh. Faktanya madu yang di pasarkan dengan harga yang sama tidak menutut kemungkinan kualitasnya berbeda, sementara masyarakat belum bisa membedakan madu yang benar-benar asli tanpa adanya campuran. Metode yang digunakan untuk menentukan madu asli adalah Fuzzy ANP. Dari penelitian ini diharapkan dapat membantu masyarakat menentukan madu yang benar-benar asli tanpa adanya campuran. Hasil dari penelitian ini adalah berbentuk perankingan dengan hasil madu bunga adalah madu yang benar-benar asli tanpa adanya campuran yang ada di Kabupaten Sumenep.
Penerapan Teori Permainan Dalam Menentukan Strategi Pemasaran Batik di Kecamatan Proppo Kabupaten Pamekasan Mamdudah, Siti; Kuzairi, Kuzairi; Mardianto, M. Fariz Fadillah
Zeta - Math Journal Vol 7 No 1 (2022): Mei
Publisher : Universitas Islam Madura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31102/zeta.2022.7.1.28-33

Abstract

Batik is a form of handicraft that has high artistic value and has become a global Indonesian culture. The expansion of batik products will lead to rapid competition between the batik market, so that batik companies must have an optimal marketing strategy. To find the optimal marketing strategy, this research applies game theory as a direction for optimizing marketing strategy results by collecting data from batik sales through exhibition promotions, online and personal selling. The results showed that the optimal strategy at the Mj-Abe Store lies in the second strategy, namely personal selling promotion. The optimal strategy for Ragiel Batik Stores lies in the third strategy, namely personal selling promotion. The optimal strategy for Toko Kurnia Batik lies in the first strategy, namely exhibition promotion. Finally, the optimal strategy for the Bintang Abadi Store lies in the first strategy, namely exhibition promotion.
Penerapan Metode Electre Pada Studi Kasus Pemilihan Sepeda Motor Matic Suyibah, Suyibah; Kuzairi, Kuzairi
Zeta - Math Journal Vol 7 No 2 (2022): November
Publisher : Universitas Islam Madura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31102/zeta.2022.7.2.53-56

Abstract

The need for transportation is an absolute thing in today's life, almost all people today already have a means of transportation, most of which are motorbikes. With the development of today's technology, motorcycles have made some progress, such as in terms of transmission. For example, on automatic motorbikes whose transmissions are produced manually, there are many variations of automatic motorbikes such as: Beat, Vario, Scoopi and Space. In choosing an automatic motorcycle, of course, consumers want to get the best and right choice. Almost all consumers want automatic motorcycles that are affordable, fuel efficient and comfortable to use. Therefore, we need a decision support system that can assist consumers in choosing the best automatic motorcycle according to consumer desires. This decision support system uses the electre method as a process in determining the best motorbike so that the results are that vario and scoopi dominate more than beat and space.
Estimator Deret Fourier Dalam Regresi Nonparametrik Dengan Penalti Untuk Perencanaan Penjualan Produk Musiman Sahidah, Sahidah; Kuzairi, Kuzairi; Mardianto, M. Fariz Fadillah
Zeta - Math Journal Vol 7 No 2 (2022): November
Publisher : Universitas Islam Madura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31102/zeta.2022.7.2.69-78

Abstract

Pendekatan regresi dapat dilakukan dengan tiga pendekatan yaitu pendekatan parametrik, semiparametrik, dan nonparametrik. Salah satu pendekatan nonparametrik yang dikembangkan adalah menggunakan estimator deret Fourier. Deret Fourier merupakan estimator yang baik untuk menduga suatu kurva regresi yang bentuknya periodik. Tujuan dari penelitian ini adalah memperoleh bentuk estimator deret Fourier dalam regresi nonparametrik dengan menggunakan metode PLS (Penalized Least Square), serta memodelkan tingkat penjualan produk musiman di pamekasan dengan menghasilkan kurva sinus, cosinus, sinus dan cosinus pada data yang bersifat periodik. Estimator regresi nonparametrik dengan pendekatan deret Fourier diperoleh nilai GCV, MSE terkecil serta R2 tinggi. Model terbaiknya berada pada basis cosinus dengan nilai GCV sebesar , MSE sebesar dan sebesar 100%.
Dimensi Partisi pada Graf Hasil Operasi Korona Tingkat-k Amalia, Rica; Ummi Nur Yatun Hasanah; Faisol; Tony Yulianto; Kuzairi
Contemporary Mathematics and Applications (ConMathA) Vol. 6 No. 1 (2024)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v6i1.54748

Abstract

Graph theory is one of the subjects in Discrete Mathematics that have long been known and are widely applied in various fields. The topics that are often discussed in graph theory include labeling, coloring, chromatic numbers, metric dimensions, and partition dimensions. Partition dimensions are obtained by grouping all the vertices on the graph into a number of partition classes, then determine the distance of all vertices to each partition class to get a representation. Partition class which representations have different coordinate vectors is called resolving partition. The minimum cardinality of resolving partition is called partition dimensions of the graph. The purpose of this study is to determine the partition dimensions of level corona operation graphs which are GʘkPm, GʘkCm and GʘkKm, where G, Pm, Cm and Km are connected non trivial graph, path graph, circle graph and complete graph respectively, and any integer k≥1.
Comparison modeling of the number population who have been vaccined in East Java using the biresponse Fourier series estimator method with the trend function Yudistira, Ira; Rohman, Naylur; Mardianto, M Fariz Fadillah; Kuzairi
Journal Focus Action of Research Mathematic (Factor M) Vol. 6 No. 1 (2023)
Publisher : Universitas Islam Negeri (UIN) Syekh Wasil Kediri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30762/factor_m.v6i1.685

Abstract

Vaksinasi adalah proses pemberian vaksin pada tubuh manusia yang bertujuan untuk meningkatkan kekebalan tubuh secara aktif terhadap suatu penyakit dan tidak menjadi sumber penularan penyakit tersebut. Vaksinasi massal merupakan sebuah keharusan yang harus dipenuhi untuk menanggulangi permasalahan wabah Covid-19 yang melanda seluruh dunia termasuk Indonesia. Pada tahun 2021 pelaksanaan vaksinasi Covid-19 di Jawa timur baru mencapai 50% dari total sasaran yang divaksin. Kekebalan imunitas tercapai ketika 70% penduduk telah divaksin. Sementatra ini pelaksanaan program vaksinasi pemerintah sudah mencapai pada vaksin dosis kedua. Berdasarkan uraian tersebut peneliti bertujuan untuk membandingkan pemodelan jumlah penduduk yang telah divaksin dosis pertama dan kedua menggunakan metode deret Fourier Birespon dengan Fungsi Tren. Kriteria kebaikan model yang digunakan adalah nilai GCV dan MSE terkecil, serta nilai koefisien determinasi tertinggi. Model yang diperoleh dalam penelitian ini adalah model dengan basis sinus cosinus. Model tersebut mempunyai nilai GCV dan MSE lebih kecil dibandingkan nilai GCV dan MSE pada basis cosinus dan sinus. Koefisien determinasi model tersebut sebesar menunjukkan nilai yang besar.  Vaccination is a process carried out by the human body that aims to increase the body's active immunity against a disease so that people who are vaccinated will not get sick. The Covid-19 outbreak hit the whole world, including Indonesia. Currently, the implementation of the Covid-19 vaccination in East Java has only reached 50% of the total target being vaccinated. The requirement to achieve immunity must be that 70% of the population has been vaccinated. Based on this description, the researcher aims to compare the modeling of the population that has been vaccinated with the first and second doses using the Fourier series bi-response method with a trend function. The criteria for the goodness of the model in this study used small GCV and MSE values and a high coefficient of determination. The model has smaller GCV and MSE values ​​than the cosine and sine basis. The coefficient of determination of the model shows a large value.
Implementation Of Convolutional Neural Network Algorithm For Tobacco Pest Detection Tamam, Moh Badri; Chafid, Nurul; Hozairi, Hozairi; Aini, Qurrotul; Santoso, Teguh Budi; Kurniawan, Wawan; Kuzairi, Kuzairi
NERO (Networking Engineering Research Operation) Vol 10, No 1 (2025): Nero - 2025
Publisher : Jurusan Teknik Informatika Fakultas Teknik Universitas Trunojoyo Madura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21107/nero.v10i1.30044

Abstract

Agriculture plays a vital role in increasing Gross Domestic Product (GDP), providing employment, contributing to foreign exchange earnings, and supporting environmental conservation. Indonesia has great potential as an agricultural country where population majority relies on agricultural sector for their livelihood. Pamekasan Regency is center of tobacco production development in East Java, with a tobacco plantation area of over 30,000 hectares. However, pest attacks such as caterpillars often damage tobacco plants, reducing productivity and leaf quality. This study implemented AI technology, specifically Convolutional Neural Networks (CNN), to detect caterpillar pests in tobacco plants in Pamekasan. The main focus is on AI development in computer vision using deep learning techniques. The CNN training process involves several stages: convolution, ReLU layers, subsampling/pooling layers, and fully connected layers. The test scenario was conducted by dividing data by 85% training, 10% validation, and 5% testing, as well as tuning parameters for the learning rate and epochs. The model achieved a maximum accuracy of 85% without overfitting at a learning rate of 0.001 and epochs 15. This demonstrates that the CNN deep learning method can effectively identify disease features in tobacco plants. The application of this technology can increase productivity and efficiency in the agricultural sector, supporting a sustainable economy and ecology.Keywords: convolutional neural network, image detection, tobacco pest.
FORECASTING MODEL FOR THE DYNAMICS OF THE CONSUMER PRICE INDEX IN THE HEALTH SECTOR IN EAST JAVA USING THE ARIMA-GARCH MODEL Banat, Imamatul Banat; Ira Yudistira; Wintan Konitania; Kuzairi
Parameter: Journal of Statistics Vol. 5 No. 2 (2025)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/27765660.2025.v5.i2.17627

Abstract

The Consumer Price Index (CPI) is a measure of development success and inflation rates in a country. The CPI is often used to assess the general rate of increase in the prices of goods and services and as a consideration in adjusting salaries, wages, pensions, and other contracts. Therefore, forecasting the CPI is very useful for formulating future policies, including in the health sector. This study aims to create a CPI forecasting model for the health sector in East Java using the ARIMA-GARCH model, namely the integration of the ARIMA model with the GARCH model. The data used were monthly CPI data from January 2020 to December 2023 obtained from the Central Statistics Agency (BPS). The ARIMA model is used to capture long-term trends, while the GARCH model is applied to handle residual heteroscedasticity. The identification results showed that the best ARIMA model is ARIMA(2, 2, 2) with all coefficients statistically significant but heteroscedasticity occurs in the therefore, GARCH modeling is applied to the residuals. Based on the lowest Akaike Information Criterion (AIC) value of 8.342491, the GARCH(1,0) model was selected as the best model. The combined ARIMA(2,2,2)–GARCH(1,0) model produced an AIC value of 18.583 and an RMSE of 0.251383. Residual diagnostic tests indicated that the resulting model meets the assumptions of normal distribution and homogeneity, and there is no significant autocorrelation. The results of this study are expected to contribute to providing predictive information that can be used by the government as a reference in formulating health sector policies, particularly regarding managing the prices of goods and services to maintain economic stability in East Java.