Near Approximations in Modules

Autor: Davvaz Bijan, Setyawati Dian Winda, Soleha, Mukhlash Imam, Subiono
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Foundations of Computing and Decision Sciences, Vol 46, Iss 4, Pp 319-337 (2021)
Druh dokumentu: article
ISSN: 2300-3405
DOI: 10.2478/fcds-2021-0020
Popis: Rough set theory is a mathematical approach to imperfect knowledge. The near set approach leads to partitions of ensembles of sample objects with measurable information content and an approach to feature selection. In this paper, we apply the previous results of Bagirmaz [Appl. Algebra Engrg. Comm. Comput., 30(4) (2019) 285-29] and [Davvaz et al., Near approximations in rings. AAECC (2020). https://doi.org/10.1007/s00200-020-00421-3] to module theory. We introduce the notion of near approximations in a module over a ring, which is an extended notion of a rough approximations in a module presented in [B. Davvaz and M. Mahdavipour, Roughness in modules, Information Sciences, 176 (2006) 3658-3674]. Then we define the lower and upper near submodules and investigate their properties.
Databáze: Directory of Open Access Journals