Various Topologies Generated from <i>E</i><sub><i>j</i></sub>‐Neighbourhoods via Ideals
Rodyna A. Hosny, Baravan A. Asaad, A. A. Azzam, Tareq M. Al-shami
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.
Topics & Concepts
Network topologyMathematicsCombinatoricsTopology (electrical circuits)Computer scienceDiscrete mathematicsComputer networkRough Sets and Fuzzy LogicFuzzy and Soft Set TheoryAdvanced Algebra and Logic