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All Journal Jurnal Sains Dasar BAREKENG: Jurnal Ilmu Matematika dan Terapan JIKA: Jurnal Ilmu Keuangan dan Perbankan M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Community Development Journal: Jurnal Pengabdian Masyarakat Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika
Utama, Rifki Chandra
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Humanities Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Health Professions Mathematics Mechanical Engineering Physics Public Health Transportation

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FUZZY RINGS AND ITS PROPERTIES Utama, Rifki Chandra; Karyati, Karyati
Jurnal Sains Dasar Vol 5, No 1 (2016): April 2016
Publisher : Faculty of Mathematics and Natural Science, Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (672.612 KB) | DOI: 10.21831/jsd.v5i1.12662

Abstract

Abstract One of algebraic structure that involves a binary operation is a group that is defined  an un empty set (classical) with an associative binary operation, it has identity elements and each element has an inverse. In the structure of the group known as the term subgroup, normal subgroup, subgroup and factor group homomorphism and its properties. Classical algebraic structure is developed to algebraic structure fuzzy by the researchers as an example semi group fuzzy and fuzzy group after fuzzy sets is introduced by L. A. Zadeh at 1965. It is inspired of writing about semi group fuzzy and group of fuzzy, a research on the algebraic structure of the ring is held with reviewing ring fuzzy, ideal ring fuzzy, homomorphism ring fuzzy and quotient ring fuzzy with its properties. The results of this study are obtained fuzzy properties of the ring, ring ideal properties fuzzy, properties of fuzzy ring homomorphism and properties of fuzzy quotient ring by utilizing a subset of a subset level  and strong level  as well as image and pre-image homomorphism fuzzy ring.  Keywords: fuzzy ring, subset level, homomorphism fuzzy ring, fuzzy quotient ring
Calculation of Indonesian Pension Funds Using Group Self Anuitization Method and Makeham Mortality Law Anggraeni*, Andini Setyo; Rahmadani, Suci; Utama, Rifki Chandra; Handayani, Vitri Aprilla
Jurnal Ilmu Keuangan dan Perbankan (JIKA) Vol. 12 No. 2: Juni 2023
Publisher : Program Studi Keuangan & Perbankan, Fakultas Ekonomi dan Bisnis, Universitas Komputer Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34010/jika.v12i2.9110

Abstract

This study aims to calculate Indonesian pension funds using the Group Self Anuitization method and Makeham's death law. The calculation of the GSA method is almost the same as the calculation of an annuity for life, so the price determination procedure includes calculating the level of annuity payments. The death rate is projected by Makeham Mortality Law based on Indonesian Mortality Table IV. Based on an analysis with the same premium amount, it is known that the benefits of male pension funds are greater than women for each age at which benefits are paid, pension funds paid to policyholders increase from 2019-2021 and decrease in 2022, the higher the entry age payment of pension funds, the benefits obtained will be even greater Keywords: Group Self Annuitization; Pension Fund; Makeham Law; Premiums; Annuity Abstrak Penelitian ini bertujuan untuk menghitung dana pensiun Indonesia dengan menggunakan metode Group Self Anuitization dan hukum kematian Makeham. Perhitungan pada metode GSA hampir sama dengan perhitungan anuitas seumur hidup, sehingga prosedur penentuan harga meliputi perhitungan tingkat pembayaran anuitas. Angka kematian diproyeksikan oleh Hukum Kematian Makeham berdasarkan Tabel Mortalita Indonesia IV. Berdasarkan analisis dengan besaran premi yang sama, diketahui bahwa manfaat dana pensiun laki-laki lebih besar dari perempuan untuk setiap usia masuk pembayaran manfaat, dana pensiun yang dibayarkan kepada pemegang polis meningkat dari tahun 2019-2021 dan menurun pada tahun 2022, semakin tinggi usia masuk pembayaran dana pensiun maka manfaat yang diperoleh akan semakin besar. Kata Kunci: Annuitisasi Diri Kelompok; Dana Pensiun; Hukum Mortalita Makeham; Premil; Anuitas
STUDI PERAMALAN JUMLAH MAHASISWA SARJANA MENUJU VISI INDONESIA EMAS: PENERAPAN METODE SINGLE MOVING AVERAGE Desviona, Nayla; Masruroh, Marwah; Utama, Rifki Chandra
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 6 No. 1 (2025): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v6i1.892

Abstract

The main focus of this research is to analyze the results of forecasting the number of undergraduate students in Indonesia using the single moving average method to support the vision of a Golden Indonesia. This research method uses quantitative methods through the application of descriptive methods, relying on secondary data taken through the official website of the Central Statistics Agency (BPS) and the Higher Education Database (PDDikti) for the 2020-2024 period. Forecasting data will be divided into two periods, then the results of forecasting are seen with the level of accuracy that will be measured using the MAPE, MSE, and MAD methods. The prediction results show that the number of students in 2025 will reach around 9.8 million, with the best level of accuracy in the two-year period, with a MAPE result of 3.59%. This method is effective for strategic planning, including facility provision, faculty allocation, and education policy development. The findings provide a foundation for policy makers in supporting a quality education system and realizing the golden generation in 2045.
CLUSTERIZATION OF DISTRICTS AND CITIES IN JAMBI PROVINCE BASED ON PUBLIC HEALTH INDICATORS USING THE K-MEANS METHOD Desviona, Nayla; Masruroh, Marwah; Utama, Rifki Chandra
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 10 No. 2 (2025): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v10i2.857

Abstract

Health is an important foundation for Indonesia, and public health is critical to improving the quality of human resources, overcoming poverty, and supporting development. In 2022, the morbidity rate in Jambi Province reached 12.11%, higher than the previous year which was only 7.16%. The morbidity rate of the people of Jambi Province in 2022 increased by around 5% compared to last year. Based on the data on the morbidity rate of the people of Jambi Province above, it can be seen that the health condition of the people of Jambi Province has decreased compared to the previous year. By using the k-means method, this study aims to group the districts and cities of Jambi Province based on their health indicators as an effort to prevent a decline in health status in the coming years. As an effort to set priorities in improving public health in Jambi Province. The research resulted in three health clusters based on health indicator data. Cluster 1, which contains Sungai Penuh City, is at a high level, meaning that health conditions in the city are very good compared to other cities. Cluster 2, which consists of West Tanjung Jabung Regency and Jambi City, is at a medium level, meaning that health conditions in this city are quite good compared to other cities. Cluster 3 Kerinci, Merangin, Sarolangun, Batanghari, East Tanjung Jabung, Tebo, and Bungo are at the lowest level, meaning that health conditions in this cluster are poor and require more attention.
ADAPTED PRESTON’S CURVE: A PROXY METHOD FOR LONGEVITY RISK ANALYSIS ON INDONESIAN PENSION PLAN Qoyyimi, Danang Teguh; Utama, Rifki Chandra
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 2 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss2pp0895-0902

Abstract

Future lifetime will increase as both the standard of living and the health insurance system develop. This increase will have an effect on financial contracts' actuarial present values, particularly the liabilities of pension funds. Longer-lived retirees will have more financial obligations to the pension plan in the future. Preston established a link between GDP and life expectancy at birth, which served as the inspiration for this paper's concept. We strive to advance Preston's work on longevity analysis, particularly how to create a proxy approach for capturing the dynamic of the mortality model with other data. In this case, we utilize Lee-Carter model to capture the long-term dynamics of mortality rate, and our GDP-related measure will be based on the model's parameters. We use the Human MortD data to gather the longevity parameter’s estimate and fit the relationships using linear, local linear, and and kernel regressions. Since the long-term goal of this study is longevity risk management in Indonesia, hence the model's applicability is assessed by how closely it resembles Indonesia's mortality models. We discovered that the linear model, which has an RMSE of 2.19234, has the lowest RMSE, then we conclude that the long term relationships between longevity parameters and GDP can be explained by linear model.
PENERAPAN MATEMATIKA DALAM KEHIDUPAN SEHARI-HARI: PELATIHAN DAN WORKSHOP UNTUK MASYARAKAT UMUM Desviona, Nayla; Masruroh, Marwah; Rahmawati, Anisa; Utama, Rifki Chandra
Community Development Journal : Jurnal Pengabdian Masyarakat Vol. 5 No. 3 (2024): Volume 5 No. 3 Tahun 2024
Publisher : Universitas Pahlawan Tuanku Tambusai

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/cdj.v5i3.29136

Abstract

Kegiatan pengabdian kepada masyarakat dengan judul "Penerapan Matematika dalam Kehidupan Sehari-hari: Pelatihan dan Workshop untuk Masyarakat Umum" dilatarbelakangi oleh kebutuhan untuk meningkatkan literasi matematika di kalangan masyarakat umum. Banyak individu mengalami kesulitan dalam menerapkan konsep-konsep matematika dalam kehidupan sehari-hari, yang berdampak pada pengambilan keputusan yang kurang efektif dalam manajemen keuangan pribadi dan analisis informasi statistik. Pelatihan ini dirancang untuk mengatasi masalah tersebut dengan memberikan materi yang relevan dan praktis. Metode yang digunakan mencakup perencanaan, pelaksanaan, evaluasi, dan tindak lanjut, dengan fokus pada interaksi dan partisipasi aktif peserta. Hasil kegiatan menunjukkan peningkatan signifikan dalam pemahaman dan keterampilan peserta dalam menerapkan matematika, terutama dalam manajemen keuangan, analisis statistik, dan logika matematika praktis. Tingkat kepuasan peserta juga sangat tinggi, menunjukkan keberhasilan metode yang digunakan. Kegiatan ini memberikan dampak positif yang signifikan dan berkelanjutan, memberdayakan masyarakat untuk lebih kompeten dalam menggunakan matematika untuk meningkatkan kualitas hidup mereka.
Co-Authors Anggraeni, Andini Setyo Anisa Rahmawati Desviona, Nayla Handayani, Vitri Aprilla Karyati Karyati Marwah Masruroh, Marwah Muhammad Agus Muljanto Qoyyimi, Danang Teguh