Claim Missing Document
Check
Articles

Found 7 Documents
Search

TEOREMA TITIK TETAP UNTUK PEMETAAN KANNAN PADA RUANG METRIK MODULAR TERITLAK Harini, Lusi
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 11 No 1 (2019): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2020.12.1.2261

Abstract

In this paper, we will discuss about fixed point theorems in generalized modular metric space for Kannan-$D_\lambda$  type mapping. The existence of the fixed point of this mapping is guaranteed by providing that the mapping domain is a -finite set and the Kannan-$D_\lambda$  mapping constant $\alpha\in(0,1/2)$ satisfied $\alpha K<1$ where K is a constant from the axiom of generalized modular metric space.
TEOREMA TITIK TETAP UNTUK PEMETAAN KANNAN PADA RUANG METRIK MODULAR TERITLAK Harini, Lusi
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 11 No 2 (2019): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2019.11.2.2269

Abstract

ABSTRACT. In this paper, we will discuss about fixed point theorems in generalized modular metric space for Kannan-D_λ type mapping. The existence of the fixed point of this mapping is guaranteed by providing that the mapping domain is a D_λ-finite set and the Kannan-D_λ mapping constant α∈(0,1/2) satisfied αK<1 where K is a constant from the axiom of generalized modular metric space.Keywords: generalized modular metric space, fixed point, Kannan mapping. ABSTRAK. Dalam tulisan ini, akan dibahas mengenai teorema titik tetap pada ruang metrik modular teritlak (generalized modular metric space) untuk pemetaan Kannan-D_λ. Eksistensi titik tetap pemetaan Kannan-D_λ dijamin dengan memberikan syarat domain pemetaan tersebut merupakan himpunan yang terbatas-D_λ dan konstanta pemetaan Kannan-D_λ yaitu α∈(0,1/2) memenuhi αK<1 dengan K merupakan konstanta yang memenuhi aksioma dari metrik modular teritlak.Kata Kunci: ruang metrik modular teritlak, titik tetap, pemetaan Kannan.
Teori Titik Tetap untuk Pemetaan (ψ,φ)_Ω-Kontraksi pada Ruang p-Metrik Modular Berorder Hayati, Afifah; Harini, Lusi; Winarni, Ambar; Muhassanah, Nur'aini
PYTHAGORAS Jurnal Matematika dan Pendidikan Matematika Vol. 17 No. 2: December 2022
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pythagoras.v17i2.52985

Abstract

Penelitian ini bertujuan untuk memberikan definisi pemetaan (psi,varphi)_omega-kontraksi dalam ruang p-metrik modular, memberikan teorema titik tetap untuk pemetaan -kontraksi pada ruang p-metrik modular, dan memberikan aplikasi dari teorema titik tetap tersebut. Penelitian ini dilakukan dengan memperumum definisi pemetaan (psi,varphi)_omega-kontraksi dalam ruang p-metrik dan teorema titik tetapnya ke dalam ruang p-metrik modular. Hasil penelitian menunjukkan bahwa pemetaan (psi,varphi)_omega-kontraksi dapat didefinisikan dalam ruang p-metrik modular dan teorema titik tetap untuk pemetaan tersebut pada ruang p-metrik modular dapat diberikan dengan penambahan beberapa sifat yang diasumsikan. Selain itu, hasil penelitian lainnya adalah aplikasi teorema titik tetap tersebut yang menjamin eksistensi solusi suatu persamaan integral yang juga merupakan perumuman dari aplikasi teorema titik tetap tersebut dalam ruang p-metrik. Dari hasil tersebut, dapat disimpulkan bahwa pemetaan (psi,varphi)_omega-kontraksi dapat didefinisikan dalam ruang p-metrik modular dan dapat dibuktikan teorema titik tetap untuk pemetaan (psi,varphi)_omega-kontraksi pada ruang p-metrik modular beserta aplikasi dari teorema titik tetap tersebut yang menjamin eksistensi solusi suatu persamaan integral.
Construction of fuzzy systems based on fuzzy c-means clustering and singular value decomposition for predicting rate of penetration in geothermal drilling Abadi, Agus Maman; Mansyaroh, Akhid Khirohmah; Lukmana, Allen Haryanto; Harini, Lusi; Sugiyarto, Aditya Wisnugraha
International Journal of Power Electronics and Drive Systems (IJPEDS) Vol 15, No 4: December 2024
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijpeds.v15.i4.pp2190-2198

Abstract

The potential for geothermal energy is very abundant, but its utilization is still minimal. Therefore, the utilization of geothermal energy facility that has been installed must be optimized. This study aims to predict drilling rate of penetration using the first-order Sugeno’s fuzzy system. Fuzzy c-mean and singular value decomposition were used to form the rules and determined the parameters respectively. This study used in total of 6738 data of geothermal wells drilling in Indonesia. The results show that the rate of penetration prediction has accuracy 85.76% for data training and 87.72% for data testing, and it is better than the radial basis function neural networks (RBFNN) and RBFNN-singular value decomposition (SVD) methods.
SIMULASI PENERAPAN TEORI ANTRIAN DALAM PEMBATASAN PENGUNJUNG OBJEK WISATA Setiawan, Ezra Putranda; Sukoco, Heru; Harini, Lusi
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 (532.31 KB) | DOI: 10.30598/barekengvol15iss4pp719-726

Abstract

Restrictions of the visitor on the tourism places is one of the mechanism of health protocol that carried out during the new normal era. This restriction become a dilemma since the manager of the tourism places want to maximize their profit by allowing all visitor, while the government still limiting the number of visitor to avoid crowding. Otherwise, real-time monitoring of the number of visitor somewhat difficult since they can come in and leave the tourism places at any time. In this study we implement the queuing theory to solve this problem. The visitor of the tourism places is modelled as the customer, while the time spent by them in the tourism places is modelled as the serving duration. By estimating the average of time spent by the visitor and determine the average number of arrivals during the specified time, the number of visitor in the tourism place can be estimated as the number of people in the queuing system. As a preliminary study, this paper only focused on two queuing model, namely the M/M/1 and M/G/1. Further study is needed to develop the model and calibrate it using the data from a specified tourism place.
PERAMALAN RATA-RATA PENGELUARAN PER KAPITA SEBULAN MENURUT KELOMPOK KOMODITAS DI KABUPATEN BANTUL MENGGUNAKAN MODEL GREY-MARKOV (1,1) Fitriana, Risma Made; Harini, Lusi
Jurnal Kajian dan Terapan Matematika Vol 11, No 2 (2025): Jurnal Kajian dan Terapan Matematika (Juli)
Publisher : Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/jktm.v11i2.24557

Abstract

Pengeluaran per kapita merupakan salah satu indikator penting dalam menilai kesejahteraan masyarakat serta kinerja ekonomi suatu wilayah. Penelitian ini bertujuan untuk meramalkan rata-rata pengeluaran per kapita sebulan menurut kelompok komoditas makanan dan bukan makanan di Kabupaten Bantul dengan menggunakan model Grey-Markov (1,1). Data yang digunakan merupakan data sekunder yang diperoleh dari publikasi Badan Pusat Statistik (BPS) dari tahun 2016 hingga 2024. Model Grey-Markov (1,1) dipilih karena mampu menangani keterbatasan jumlah data serta ketidakpastian, dan dapat meningkatkan akurasi hasil peramalan dengan mengombinasikan model Grey (1,1) dan rantai Markov. Hasil penelitian menunjukkan bahwa model Grey-Markov (1,1) memiliki tingkat akurasi Mean Absolute Percentage Error (MAPE) dan Posterior Error Ratio (C) yang dikategori sebagai sangat akurat. Hasil ini menunjukkan bahwa model Grey-Markov (1,1) dapat dijadikan alternatif dalam meramalkan data yang bersifat terbatas dan fluktuatif, serta dapat digunakan sebagai dasar dalam perencanaan kebijakan pembangunan daerah di Kabupaten Bantul, khususnya dalam hal pengendalian konsumsi dan distribusi sumber daya berdasarkan pola pengeluaran masyarakat.
Implementasi Runtun Waktu Samar Orde Tinggi Yolcu-Egrioglu-Aladag dalam Melakukan Peramalan Amanah, Luthfia; Harini, Lusi
JURNAL DIFERENSIAL Vol 7 No 2 (2025): November 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i2.22535

Abstract

Forecasting plays an important role in strategic decision-making in various fields, ranging from economics to public management. However, traditional forecasting methods such as ARIMA and linear regression have limitations in handling the characteristics of time series data that are often non-linearly patterned, non-stationary, and experience sudden fluctuations. This research proposes a fuzzy time series (FTS) approach that is more flexible in modeling uncertainty and complex patterns without relying on the assumption of linearity. The purpose of this research is to forecast the population in Sleman Regency using the Yolcu-Egrioglu-Aladag (YEA) higher order fuzzy time series. The data used is annual data on the population of Sleman Regency from 1998 to 2024, a total of 27 observational data divided into 80% training data and 20% testing data. The YEA FTS uses a slice operation to simplify inputs in higher-order models, fuzzification with Fuzzy C-Means and forming fuzzy relations through a Feedforward Neural Network with the Levenberg-Marquardt algorithm, and defuzzification. The results show that the YEA model produces a small Mean Absolute Percentage Error (MAPE) value on the testing data, so it is good for forecasting the population in Sleman Regency. The MAPE value of the YEA FTS is 2.22% (training) and 1.00% (testing). Keywords: : Forecasting, Fuzzy Time Series, High Order Yolcu-Egrioglu-Aladag, Fuzzy C-Means, Feedforward Neural Network, Population