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PERAMALAN ANGKA PERCERAIAN DI KABUPATEN JEMBER PADA TAHUN 2022 MENGGUNAKAN METODE ARIMA ana safitri; Nur Salam; Aprida Siska Lestia
RAGAM: Journal of Statistics & Its Application Vol 2, No 2 (2023): RAGAM: Journal of Statistics & Its Application
Publisher : Universitas Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/ragam.v2i2.11333

Abstract

Jember Regime is a locale that has the largest number of separation cases in Indonesia. Subsequently, it is important to have a measurable estimating where information from the past is utilized to foresee future prospects. The reason for this study is to break down the attributes of the information, examine the best ARIMA (Autoregressive Coordinated Moving Normal) model and conjecture utilizing the best model in Jember Regime in June - December 2022. The kind of information is quantitative with relapse estimating techniques and Box-Jenkins. Assurance of the ARIMA model is done when the information is fixed and has met the background noise prerequisites and is typically conveyed. The best demonstrating is resolved in light of huge boundaries in view of the estimation aftereffects of the Sum squared resid (SSE), Adjusted R-squared, Akaike info criterion (AIC), dan Schwarz criterion (SBC). The outcomes acquired from this study are separate from case information in Jember Rule isn't great and lopsided so doing information stationarity is vital. After the information is fixed, the best ARIMA model that meets the necessities is the ARIMA model (2,1,1). The consequences of the ARIMA (Autoregressive Coordinated Moving Normal) model (2,1,1) with the situation Zt = 0,91 Zt-1 + 0,19 Zt-2 + 0,1 Zt-3 + ?t + 0,78 ?t-1.
LOWER LEVEL SUBGRUPOID Saman Abdurrahman; Na'imah Hijriati; Thresye Thresye; Moch Idris; Aprida Siska Lestia
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