Fuzzy rough sets with a fuzzy ideal
Ibedou, I., Abbas, S. (2020). Fuzzy rough sets with a fuzzy ideal. EKB Journal Management System, 28(1), 1-13. doi: 10.1186/s42787-020-00096-2
Ismail Ibedou; S. E. Abbas. "Fuzzy rough sets with a fuzzy ideal". EKB Journal Management System, 28, 1, 2020, 1-13. doi: 10.1186/s42787-020-00096-2
Ibedou, I., Abbas, S. (2020). 'Fuzzy rough sets with a fuzzy ideal', EKB Journal Management System, 28(1), pp. 1-13. doi: 10.1186/s42787-020-00096-2
Ibedou, I., Abbas, S. Fuzzy rough sets with a fuzzy ideal. EKB Journal Management System, 2020; 28(1): 1-13. doi: 10.1186/s42787-020-00096-2

Fuzzy rough sets with a fuzzy ideal

Journal of the Egyptian Mathematical Society
Volume 28, Issue 1, June 2020, Pages 1-13    PDF (664.89 K)
DOI: 10.1186/s42787-020-00096-2
Authors
Ismail Ibedou; S. E. Abbas
Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt
Abstract
In this paper, we defined the fuzzy upper, fuzzy lower, and fuzzy boundary sets of a
rough fuzzy set λ in a fuzzy approximation space (X, R). Based on λ and R, we
introduced the fuzzy ideal approximation interior operator intlambdaR and the fuzzy
ideal approximation closure operator clR
λ. We joined the fuzzy ideal notion with the
fuzzy approximation spaces, and then introduced the fuzzy ideal approximation
closure and interior operators associated to a rough fuzzy set λ. Fuzzy ideal
approximation connectedness and the fuzzy ideal approximation continuity between
fuzzy ideal approximation spaces are introduced.

Keywords
Fuzzy rough set; Fuzzy ideal; Fuzzy ideal approximation space; Fuzzy ideal continuity; Fuzzy ideal connectedness
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