{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:31:10Z","timestamp":1747189870089,"version":"3.40.5"},"reference-count":28,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["New Math. and Nat. Computation"],"published-print":{"date-parts":[[2025,3]]},"abstract":"<jats:p> In this paper, we introduce the concept of a soft [Formula: see text]-open set. We show that the class of soft [Formula: see text]-open sets lies strictly between the classes of [Formula: see text]-open sets (respectively, soft [Formula: see text]-open) and soft semi-open sets. Additionally, we provide several adequate criteria for the equivalence between soft [Formula: see text]-open sets and each of [Formula: see text]-open sets and soft semi-open sets. Moreover, we demonstrate that the family of soft [Formula: see text]-open sets is a supra soft topology. We study the relationships between soft [Formula: see text]-open sets and other types of soft sets such as soft open, soft pre-open, soft [Formula: see text]-open, soft [Formula: see text]-open, soft [Formula: see text]-open, soft [Formula: see text]-open and soft [Formula: see text]-open. Also, we study the behavior of soft [Formula: see text]-open sets under some soft operators. Finally, we clarify the correspondence between the classes of soft [Formula: see text]-open sets in a soft topological space and in its soft topological subspaces. <\/jats:p>","DOI":"10.1142\/s1793005725500164","type":"journal-article","created":{"date-parts":[[2024,1,18]],"date-time":"2024-01-18T14:33:22Z","timestamp":1705588402000},"page":"323-338","source":"Crossref","is-referenced-by-count":0,"title":["A Stronger Novel Form of Soft Semi-Open Set"],"prefix":"10.1142","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0009-0008-6583-7844","authenticated-orcid":false,"given":"Payman M.","family":"Mahmood","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of Education for Pure Sciences, University of Kirkuk, Iraq"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0112-4884","authenticated-orcid":false,"given":"Halgwrd M.","family":"Darwesh","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, University of Sulaimani, Kurdistan-Region, Iraq"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2798-1921","authenticated-orcid":false,"given":"Hardi A.","family":"Shareef","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, University of Sulaimani, Kurdistan-Region, Iraq"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7872-440X","authenticated-orcid":false,"given":"Samer Al","family":"Ghour","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2024,4,26]]},"reference":[{"doi-asserted-by":"publisher","key":"S1793005725500164BIB001","DOI":"10.1016\/S0898-1221(99)00056-5"},{"doi-asserted-by":"publisher","key":"S1793005725500164BIB002","DOI":"10.1016\/S0898-1221(03)00016-6"},{"issue":"2","key":"S1793005725500164BIB003","first-page":"171","volume":"3","author":"Zorlutuna I.","year":"2012","journal-title":"Annals of fuzzy Mathematics and Informatics"},{"issue":"1","key":"S1793005725500164BIB004","first-page":"77","volume":"6","author":"Das S.","year":"2013","journal-title":"Annals of Fuzzy Mathematics and Informatics"},{"doi-asserted-by":"publisher","key":"S1793005725500164BIB005","DOI":"10.1016\/j.camwa.2011.02.006"},{"doi-asserted-by":"publisher","key":"S1793005725500164BIB006","DOI":"10.12785\/amis\/070136"},{"issue":"4","key":"S1793005725500164BIB007","first-page":"399","volume":"5","author":"Ilango G.","year":"2013","journal-title":"International Journal of Mathematics Research"},{"key":"S1793005725500164BIB008","first-page":"1","volume":"1","author":"Khalaf S. 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