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Semeton Mathematics Journal
Published by Universitas Mataram
ISSN : -     EISSN : 30627737     DOI : https://doi.org/10.29303/semeton.v1i1.203
Core Subject : Education,
Mathematics
Fokus dan Ruang Lingkup dari Semeton Mathematics Journal adalah sebagai berikut - Analisis - Aljabar - Matematika Terapan - Pemodelan Matematika - Sistem dan Kontrol - Matematika Diskrit dan Kombinatorik - Statistik dan Stokastik - Optimasi - Ilmu Komputasi
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 33 Documents
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Analisis Perbandingan Metode Modified Distribution, Improved Zero Point, dan Modified Zero Suffix untuk Meminimalkan Biaya Transportasi Jannah, Rafaatul
Semeton Mathematics Journal Vol 3 No 1 (2026): April
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v3i1.368

Abstract

Masalah transportasi fuzzy menangani pasokan, permintaan, dan biaya menggunakan bilangan fuzzy, yang mengkonversi ke nilai crisp melalui Robust Ranking sebelum dioptimalkan dengan metode Modified Distribution (MODI), Improved Zero Point, dan Modified Zero Suffix. Teknik ini dipillih karena memberikan hasil akurat dibandingkan rumus rata-rata biasa, perhitungannya mempertimbangkan seluruh nilai dalam bilangan fuzzy, sehingga informasi menjadi lebih representatif. Tujuan utama penelitian ini adalah menentukan alokasi barang yang meminimalkan total biaya fuzzy sekaligus memenuhi batasan persediaan dan permintaan fuzzy. MODI adalah metode umum yang digunakan untuk menentukan sel kosong penghemat biaya dengan menentukan solusi awal terlebih dahulu, sementara Improved Zero Point memulai langkah alokasi dari biaya tertinggi dari hasil reduksi baris dan kolom, sedangkan Modified Zero Suffix berbasis pencarian nilai suffix untuk penentuan urutan alokasi. Hasil Penelitian menunjukkan metode MODI paling optimal dengan biaya Rp9.099.196 diikuti Modified Zero Suffix Rp9.132.967, lalu Improved Zero Point Rp9.230.083. Hasil ini berhasil memberikan estimasi biaya yang lebih efisien dengan pengurangan biaya menggunakan metode MODI sebesar 6,32%, Improved Zero Point sebesar 4,98%, dan Modified Zero Suffix sebesar 5,98% dibandingkan biaya aktual. Penelitian ini menunjukkan bahwa metode MODI paling direkomendasikan untuk menyelesaikan masalah transportasi fuzzy dalam upaya meminimalkan total biaya distribusi dengan tetap memenuhi batasan pasokan dan permintaan yang bersifat fuzzy dalam kasus PT. Tamarin Jaya.
Utilization of Landsat 8 Imagery for Analyzing Land Surface Temperature in Sumbawa Regency from 2018 to 2022 Using Google Earth Engine Fauzi, Meilinda; Febrianti, Wiwit; Amini, Elsa; Robbaniyyah, Nuzla Af'idatur
Semeton Mathematics Journal Vol 3 No 1 (2026): April
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v3i1.370

Abstract

This study aims to analyze the land surface temperature in Sumbawa Regency from 2018 to 2022 using Landsat 8 imagery and the Google Earth Engine (GEE) platform. The surface temperature data was obtained from the Landsat 8 image collection with a spatial resolution of 1 km and a temporal resolution of 8 days. The Split Window Algorithm was used to calculate the land surface temperature based on thermal infrared data. The analysis process included image acquisition, selection of daytime temperature bands, and conversion of temperature from Kelvin to Celsius. The results showed variations in the average land surface temperature in Sumbawa Regency over the five-year period, with a decreasing temperature trend in certain years, possibly related to climatic factors and the increase in green open spaces. These data can be used to support natural resource management and mitigate the impacts of climate change in the region. This study also emphasizes the importance of utilizing remote sensing technology and cloud computing platforms for efficient and integrated geospatial analysis.
Literature Review: Fixed Point Generalizations of the Banach Contraction Principle in Classical Metric Spaces Mas'ud, Syamsuddin
Semeton Mathematics Journal Vol 3 No 1 (2026): April
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v3i1.374

Abstract

The Banach contraction principle (1922) holds a central position in fixed point theory on metric spaces. Over time, various generalizations have emerged to weaken the contraction condition while retaining the guarantee of a fixed point. However, simple reviews that map the logical relationships among these generalizations are still limited, especially in the Indonesian language. This article presents a literature review of six main classes of generalizations of the Banach contraction principle in classical metric spaces, namely Boyd-Wong (1969), Meir-Keeler (1969), Ciric quasi-contraction (1974), Reich (1971), weak -contraction (Berinde, 2004), and orbital contraction (Rus-Hicks-Rhoades). The selection is restricted to single-valued mappings on complete metric spaces. Each class is described by its definition, fixed point theorem, a note on when the condition reduces to the original Banach contraction, and a brief example (or a reference to the original literature for more complex cases). Based on a comparative analysis, an implication table is constructed, showing that the Banach class is the strongest (it implies all other classes), Ciric implies Reich but not conversely, and the Boyd-Wong, Meir-Keeler, weak -contraction, and orbital classes are mutually independent. This review concludes that the visual implication map, the simplified language, and the explicit reduction notes to the Banach case are three main contributions that distinguish it from previous surveys. Five directions for further research are also proposed, including extensions to non-complete metric spaces or to b-metric spaces

Page 4 of 4 | Total Record : 33

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