Approximations of some near open sets in ideal topological spaces | ||
Journal of the Egyptian Mathematical Society | ||
Volume 28, Issue 1, June 2020, Pages 1-11 PDF (476.9 K) | ||
DOI: 10.1186/s42787-019-0067-0 | ||
Author | ||
A. S. Nawar | ||
Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Menoufia, Egypt | ||
Abstract | ||
In this paper, we introduce the concepts of j-ideal lower and j-ideal upper approximations as a generalization of approximation by Pawlak by using j-ideal open sets where j ∈ {α, S, P, γ, β, ⋀β}. Some of their basic properties with the aid of examples are proven. Furthermore, we study the relationships between these approximations to get the best of them. | ||
Keywords | ||
j-ideal approximation spaces; j-ideal open sets; Accuracy measure | ||
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