Various Topologies Generated from Ej-Neighbourhoods via Ideals. (11th June 2021)

• Record Type: Journal Article
• Authors: Hosny, Rodyna A.; Asaad, Baravan A.; Azzam, A. A.; Al-Shami, Tareq M.
• Other Names: Khalil Ahmed Mostafa Academic Editor.
• Is Part Of: Complexity. Volume 2021(2021)
• Publication Date: 2021-06-11
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2021/4149368
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : One of the considerable subjects in mathematics is the study of topology. Deducing topology from arbitrary binary relations has enticed the attention of many researchers. So, we devote this article to generate some kinds of topologies from ideals and E j -neighborhoods which are induced from any binary relation. We define new types of approximations and accuracy measures from these topologies and then compare them with their counterparts induced directly from E j -neighborhoods and ideals. Also, we show that the approximations and accuracy measures given, herein, are better than those introduced in some previous studies under any arbitrary relation.