{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T01:01:15Z","timestamp":1768438875927,"version":"3.49.0"},"reference-count":23,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["New Math. and Nat. Computation"],"published-print":{"date-parts":[[2020,3]]},"abstract":"<jats:p> In this paper, a new class of fuzzy ideal sets, namely the [Formula: see text]-[Formula: see text]-[Formula: see text]-generalized fuzzy ideal closed sets, is introduced for fuzzy bitopological spaces in \u0160ostak sense. This class falls strictly in between the class of [Formula: see text]-[Formula: see text]-[Formula: see text]-fuzzy ideal closed sets and the class of [Formula: see text]-[Formula: see text]-generalized fuzzy ideal closed sets. Furthermore, by using the class of [Formula: see text]-[Formula: see text]-[Formula: see text]-generalized fuzzy ideal closed sets we establish a new fuzzy closure operator which generates fuzzy bitopological spaces in \u0160ostak sense. Finally, the [Formula: see text] strongly-[Formula: see text]-fuzzy ideal continuous, [Formula: see text]-[Formula: see text]-generalized fuzzy ideal continuous and [Formula: see text]-[Formula: see text]-generalized fuzzy ideal irresolute mappings are introduced, and we show the [Formula: see text]-[Formula: see text]-generalized fuzzy ideal continuous properly fuzzy ideal bitopological spaces in \u0160ostak sense (for short, fibtss) in between [Formula: see text] strongly-[Formula: see text]-fuzzy ideal continuous and [Formula: see text]-generalized fuzzy continuous mappings. <\/jats:p>","DOI":"10.1142\/s1793005720500088","type":"journal-article","created":{"date-parts":[[2019,9,6]],"date-time":"2019-09-06T03:53:35Z","timestamp":1567742015000},"page":"123-141","source":"Crossref","is-referenced-by-count":3,"title":["\ud835\udca2\u0398\u03c4i\u22c6\u03c4j-Fuzzy Closure Operator"],"prefix":"10.1142","volume":"16","author":[{"given":"Fahad","family":"Alsharari","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of Science and Human Studies, Hotat Sudair, Majmaah University, Majmaah 11952, Saudi Arabia"}]},{"given":"Yaser. 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