{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T07:22:43Z","timestamp":1772263363305,"version":"3.50.1"},"reference-count":28,"publisher":"Wiley","license":[{"start":{"date-parts":[[2018,7,2]],"date-time":"2018-07-02T00:00:00Z","timestamp":1530489600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Fuzzy Systems"],"published-print":{"date-parts":[[2018,7,2]]},"abstract":"<jats:p>We first introduce some new notions of Baireness in fuzzy soft topological space (FSTS). Next, their characterizations and basic properties are investigated in this work. The notions of fuzzy soft dense, fuzzy soft nowhere dense, fuzzy soft meager, fuzzy soft second category, fuzzy soft residual, fuzzy soft Baire, fuzzy soft <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mi>\u03b4<\/mml:mi><mml:mo>-<\/mml:mo><\/mml:math>sets, fuzzy soft <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:msub><mml:mrow><mml:mi>\u03bb<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>\u03c3<\/mml:mi><\/mml:mrow><\/mml:msub><mml:mo>-<\/mml:mo><\/mml:math>sets, fuzzy soft <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\"><mml:mi>\u03c3<\/mml:mi><mml:mo>-<\/mml:mo><\/mml:math>nowhere dense, fuzzy soft <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M6\"><mml:mi>\u03c3<\/mml:mi><mml:mo>-<\/mml:mo><\/mml:math>meager, fuzzy soft <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M7\"><mml:mi>\u03c3<\/mml:mi><mml:mo>-<\/mml:mo><\/mml:math>residual, fuzzy soft <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M8\"><mml:mi>\u03c3<\/mml:mi><mml:mo>-<\/mml:mo><\/mml:math>Baire, fuzzy soft <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M9\"><mml:mi>\u03c3<\/mml:mi><mml:mo>-<\/mml:mo><\/mml:math>second category, fuzzy soft <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M10\"><mml:mi>\u03c3<\/mml:mi><mml:mo>-<\/mml:mo><\/mml:math>residual, fuzzy, fuzzy soft submaximal space, fuzzy soft <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M11\"><mml:mi>P<\/mml:mi><mml:mo>-<\/mml:mo><\/mml:math>space, fuzzy soft almost resolvable space, fuzzy soft hyperconnected space, fuzzy soft <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M12\"><mml:mi>A<\/mml:mi><mml:mo>-<\/mml:mo><\/mml:math>embedded, fuzzy soft <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M13\"><mml:mi>D<\/mml:mi><mml:mo>-<\/mml:mo><\/mml:math>Baire, fuzzy soft almost <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M14\"><mml:mi>P<\/mml:mi><mml:mo>-<\/mml:mo><\/mml:math>spaces, fuzzy soft Borel, and fuzzy soft <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M15\"><mml:mi>\u03c3<\/mml:mi><mml:mo>-<\/mml:mo><\/mml:math>algebra are introduced. Furthermore, several examples are shown as well.<\/jats:p>","DOI":"10.1155\/2018\/5731682","type":"journal-article","created":{"date-parts":[[2018,7,2]],"date-time":"2018-07-02T20:38:49Z","timestamp":1530563929000},"page":"1-10","source":"Crossref","is-referenced-by-count":25,"title":["<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mi>\u03c3<\/mml:mi><mml:mo>-<\/mml:mo><\/mml:math>Algebra and <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mi>\u03c3<\/mml:mi><mml:mo>-<\/mml:mo><\/mml:math>Baire in Fuzzy Soft Setting"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7635-3553","authenticated-orcid":true,"given":"Shuker Mahmood","family":"Khalil","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of Science, University of Basrah, Basrah 61004, Iraq"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mayadah","family":"Ulrazaq","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, University of Basrah, Basrah 61004, Iraq"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Samaher","family":"Abdul-Ghani","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, University of Basrah, Basrah 61004, Iraq"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Abu Firas","family":"Al-Musawi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, University of Basrah, Basrah 61004, Iraq"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"2","first-page":"1","volume":"141","year":"1977","journal-title":"Dissertationes Math"},{"key":"3","first-page":"237","volume":"11 (86)","year":"1961","journal-title":"Czechoslovak Mathematical Journal"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-00-05346-6"},{"issue":"2","key":"21","first-page":"173","volume":"27","year":"1977","journal-title":"Math. 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