{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,27]],"date-time":"2026-05-27T16:10:26Z","timestamp":1779898226620,"version":"3.53.1"},"reference-count":14,"publisher":"SAGE Publications","issue":"6","license":[{"start":{"date-parts":[[2019,5,21]],"date-time":"2019-05-21T00:00:00Z","timestamp":1558396800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent & Fuzzy Systems"],"published-print":{"date-parts":[[2019,6,11]]},"abstract":"\n \u00a0In this paper, it is introduced the notion of\n r<\/jats:italic>\n -fuzzy ideal separation axioms\n T<\/jats:italic>\n \n i<\/jats:italic>\n <\/jats:sub>\n ,\n i<\/jats:italic>\n \u00a0=\u00a00, 1, 2 based on a fuzzy ideal\n \n \n I<\/mml:mi>\n <\/mml:math>\n <\/jats:inline-formula>\n on a fuzzy topological space (\n X<\/jats:italic>\n ,\n \u03c4<\/jats:italic>\n ). An\n r<\/jats:italic>\n -fuzzy ideal connectedness related to the fuzzy ideal\n \n \n I<\/mml:mi>\n <\/mml:math>\n <\/jats:inline-formula>\n is introduced which has relations with a previous\n r<\/jats:italic>\n -fuzzy connectedness. An\n r<\/jats:italic>\n -fuzzy ideal compactness related to\n \n \n I<\/mml:mi>\n <\/mml:math>\n <\/jats:inline-formula>\n is introduced which has also relations with many other types of fuzzy compactness.\n <\/jats:p>","DOI":"10.3233\/jifs-181752","type":"journal-article","created":{"date-parts":[[2019,5,24]],"date-time":"2019-05-24T10:53:25Z","timestamp":1558695205000},"page":"5919-5928","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["Fuzzy ideal topological spaces"],"prefix":"10.1177","volume":"36","author":[{"given":"Ali N.A.","family":"Koam","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ismail","family":"Ibedou","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"S.E.","family":"Abbas","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"179","published-online":{"date-parts":[[2019,5,21]]},"reference":[{"key":"e_1_3_2_2_2","first-page":"2689","article-title":"Fuzzy super irresolute functions","volume":"42","author":"Abbas S.E.","year":"2003","unstructured":"S.E.Abbas, Fuzzy super irresolute functions, IJMMS 42 (2003), 2689\u20132700.","journal-title":"IJMMS"},{"issue":"3","key":"e_1_3_2_3_2","first-page":"691","article-title":"Fuzzy (\u03b1, \u03b2, \u03b8, \u03b4, \u0399)-continuous functions","volume":"25","author":"Abbas S.E.","year":"2017","unstructured":"S.E.Abbas and I.Ibedou, Fuzzy (\u03b1, \u03b2, \u03b8, \u03b4, \u0399)-continuous functions, J of Fuzzy Mathematics 25(3) (2017), 691\u2013702.","journal-title":"J of Fuzzy 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