Year: 2024
Type: article
Abstract: A pair of non-empty set $U$ and equivalence relation $R$ on $U$, denoted as $(U,R)$, is called approximation space. Furthermore, equivalence classes form the construction of lower approximation and upper approximation. Let $X\subseteq U$, the lower approximation of $X$ denoted by $\underline{X}$ and the upper approximation of $X$ denoted by $\overline{X}$. A pair $Apr(X)=(\underline{X},\overline{X})$ is a rough set if $\underline{X}\neq \overline{X}$. $Apr(X)$ is rough module if $Apr(X)$ satisfies some conditions. In this research, we investigate some characteristics of the rough module and rough submodule over rough ring. Furthermore, we construct examples of the rough module and the rough submodule on approximation space $(U,R)$.
Source: Jurnal Matematika Integratif
Authors: Rara Gusti Rahmawati, Fitriani Fitriani, Ahmad Faisol
Institution: Lampung University
Language: English
Topic: Rough Sets and Fuzzy Logic
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $32
OpenAlex ID: W4405947074