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Article type: Research Article
Authors: Koam, Ali N.A.a; * | Ibedou, Ismailb | Abbas, S.E.c
Affiliations: [a] Department of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi Arabia | [b] Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt | [c] Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt
Correspondence: [*] Corresponding author. Ali N.A. Koam, Department of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi Arabia. (Ali N.A. Koam, E-mail: akoam@jazanu.edu.sa); (Ismail Ibedou, E-mail: ismail.ibedou@gmail.com); (S.E. Abbas; E-mail: sabbas73@yahoo.com).
Abstract: In this paper, it is introduced the notion of r-fuzzy ideal separation axioms Ti, i = 0, 1, 2 based on a fuzzy ideal I on a fuzzy topological space (X, τ). An r-fuzzy ideal connectedness related to the fuzzy ideal I is introduced which has relations with a previous r-fuzzy connectedness. An r-fuzzy ideal compactness related to I is introduced which has also relations with many other types of fuzzy compactness.
Keywords: fuzzy ideal, fuzzy separation axioms, fuzzy compactness, fuzzy connectedness
DOI: 10.3233/JIFS-181752
Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 6, pp. 5919-5928, 2019
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