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CROSS PRODUCT OF IDEAL FUZZY SEMIRING Abdurrahman, Saman
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/barekengvol17iss2pp1131-1138

Abstract

If one of the axioms in the ring, namely the inverse axiom in the addition operation, is omitted, it will produce another algebraic structure, namely a semiring. Analogous to a ring, there are zero elements, ideal (left/right) in a semiring, and the cross product of the semiring ideal. The analog of the fuzzy semiring has zero elements, ideal (left/right), and the cross product of the semiring fuzzy ideal associated with the membership value. This paper will discuss the cross-product of two (more) fuzzy ideals from a semiring. Furthermore, the cross-product of two (more) fuzzy ideals from a semiring will always be a semiring fuzzy ideal. But the converse is not necessarily true.
ANALISIS KOMPARATIF METODE DES HOLT’S DAN ARIMA TERHADAP PERAMALAN TINGKAT PENGANGGURAN DI PROVINSI KALIMANTAN SELATAN Oktaviani, Yeni Rahma; Sa'adah, Yalela; Wibowo, Syahputra; Abdurrahman, Saman
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 19, No 2 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v19i2.17155

Abstract

Unemployment is crucial issue in South Kalimantan Province as it contribute to increased poverty and the slowing down of regional economic growth. Therefore, reliable forecasting method is needed to support the government in formulating strategic policies. This study aims to compare and identify a representative time series forecasting model for the TPT in South Kalimantan Province. This research compares the performance of the DES Holt 1-parameter, 2 parameter, and ARIMA (1,1,0) models using 19 years of semi-annual unemployment rate data (2005-2024). The models applied parameter optimization for  and , obtained by trial and error and by using R Studio, while accuracy was evaluated using MAPE. The research results show that the DES Holt-2parameter model with optimal parameters  and . Demonstrated better statistical performance compared to the DES Holt 1-parameter and ARIMA (1,1,0) models because it yielded the smallest MAPE error value of 4,66. However, the ARIMA (1,1,0) models is superior because it is more capable of capturing dynamic trend changes in the region, whether the changes are short-term of long-lasting, and can better reflect socioeconomic structural changes. The contribution of this research is to provide a scientific basis and a more superior and representative forecasting model, namely ARIMA (1,1,0), for the South Kalimantan Provincial government in formulating policies for job creation, improving labor productivity, and strengthening the regional economy in a sustainable manner.
LOWER LEVEL SUBGRUPOID Abdurrahman, Saman; Hijriati, Na'imah; Thresye, Thresye; Idris, Moch; Lestia, Aprida Siska
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 19, No 2 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v19i2.15332

Abstract

This study investigates the structure of anti-fuzzy subgroupoids within the framework of groupoids, extending the theory of fuzzy subgroups beyond traditional group-based algebraic systems. While numerous fuzzy approaches have been applied to groups and semigroups, the exploration of groupoids algebraic structures without the necessity of identity or inverse elements remains limited, particularly in the context of anti-fuzzy theory. This research addresses that gap by developing a mathematical characterization of anti-fuzzy subgroupoids and systematically analyzing their relationship with lower-level subsets. A key result demonstrates that every subgroupoid can be represented as a lower-level subset of a suitably constructed anti-fuzzy subgroupoid. Furthermore, it is shown that equality of two lower-level subsets occurs if and only if no element exists with a membership value strictly between the corresponding thresholds. Employing a deductive and axiomatic approach, this work contributes to the theoretical advancement of fuzzy structures in non-classical algebra. It offers a foundation for future applications in uncertainty-based decision systems
Penerapan Bimbingan Belajar pada Anak-anak di Kompleks Wengga Trikora Raya 2 Selvia, Miya; Muliawati, Aminah; Sabna, Sabna; Abdurrahman, Saman
Jurnal Pengabdian Masyarakat Bangsa Vol. 3 No. 10 (2025): Desember
Publisher : Amirul Bangun Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59837/jpmba.v3i10.3544

Abstract

Pelaksanaan program bimbingan belajar di tingkat sekolah dasar menjadi solusi penting dalam meningkatkan pemahaman anak – anak terhadap pelajaran, terutama di bidang literasi dan matematika dasar yang sering dianggap sulit oleh anak – anak. Program Pembelajaran Literasi dan Matematika Anak (PELITA) dilaksanakan di Kompleks Wengga Trikora Raya 2 oleh tim KKN Kelompok 2 Matematika FMIPA ULM dengan tujuan membantu siswa yang menghadapi kesulitan dalam aspek membaca, menulis, dan berhitung. Aktivitas ini berlangsung di luar jam kelas dengan pendekatan pembelajaran yang menyenangkan dan interaktif. Hasil dari pelaksanaan menunjukkan adanya peningkatan keterlibatan siswa serta peningkatan pemahaman mereka mengenai materi. Berdasarkan rekapan kehadiran, jumlah peserta menunjukkan pola yang stabil dan cenderung meningkat pada beberapa pertemuan terakhir. Hal ini menunjukkan bahwa program bimbingan belajar memberikan pengaruh positif kepada anak – anak, baik dalam meningkatkan motivasi belajar mereka maupun kemampuan akademis secara keseluruhan.
Integrated Artificial Intelligence Mentoring to Enhance Teacher Competence at SMP Negeri 12 Banjarbaru Lissa, Hermei; Hijriati, Na'imah; Abdurrahman, Saman; Idris, Moch; Lestia, Aprida Siska; Shiddiq, Muhammad Mahfuzh; Sa’adh, Yalela; Oktaviani, Yeni Rahma
OMNICODE Journal (Omnicompetence Community Developement Journal) Vol. 5 No. 1 (2025)
Publisher : UrbanGreen Central Media

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55756/omnicode.v5i1.230

Abstract

The integration of Artificial Intelligence (AI) in school learning can enhance instructional quality and efficiency; however, its use by teachers remains fragmented. This community development activity, conducted by the Department of Mathematics at Universitas Lambung Mangkurat, aimed to improve teachers’ knowledge and skills through training and mentoring that emphasized the integrated use of ChatGPT, Gamma AI, and Presentations.AI. The program was implemented at SMP Negeri 12 Banjarbaru, Indonesia, involving teachers from various subject areas. Activities included AI-based training, hands-on mentoring, and pre- and post-activity evaluation. Data were analyzed using the Wilcoxon Signed-Rank Test. Results showed that improvements related to ChatGPT were not statistically significant (p > 0.05), whereas improvements with Gamma AI were statistically significant (p < 0.05). Improvements in Presentations.AI usage and integrated AI application skills were highly significant (p < 0.01). These findings indicate that integrated AI-based mentoring effectively enhances teacher competence at the junior high school level.