{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,24]],"date-time":"2026-01-24T14:48:36Z","timestamp":1769266116566,"version":"3.49.0"},"reference-count":34,"publisher":"Wiley","license":[{"start":{"date-parts":[[2022,8,28]],"date-time":"2022-08-28T00:00:00Z","timestamp":1661644800000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Applied Computational Intelligence and Soft Computing"],"published-print":{"date-parts":[[2022,8,28]]},"abstract":"<jats:p>We define soft Q-sets as soft sets whose soft closure and soft interior are commutative. We show that the soft complement, soft closure, and soft interior of a soft Q-set are all soft Q-sets. We show that a soft subset K of a given soft topological space is a soft Q-set if and only if K is a soft symmetric difference between a soft clopen set and a soft nowhere dense set. And as a corollary, the class of soft Q-sets contains simultaneously the classes of soft clopen sets and soft nowhere dense sets. Also, we prove that the class of soft Q-sets is closed under finite soft intersections and finite soft unions, and as a main result, we prove that the class of soft Q-sets forms a Boolean algebra. Furthermore, via soft Q-sets, we characterize soft sets whose soft boundaries and soft interiors are commutative. In addition, we investigate the correspondence between Q-sets in topological spaces and soft Q-sets in soft topological spaces.<\/jats:p>","DOI":"10.1155\/2022\/5200590","type":"journal-article","created":{"date-parts":[[2022,8,29]],"date-time":"2022-08-29T03:55:26Z","timestamp":1661745326000},"page":"1-9","source":"Crossref","is-referenced-by-count":10,"title":["Boolean Algebra of Soft Q-Sets in Soft Topological Spaces"],"prefix":"10.1155","volume":"2022","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7872-440X","authenticated-orcid":true,"given":"Samer","family":"Al Ghour","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/s0019-9958(65)90241-x"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1007\/bf01001956"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1109\/21.229476"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/s0898-1221(99)00056-5"},{"key":"5","first-page":"8","article-title":"Soft sets technique and its application","volume":"1","author":"D. 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