{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T14:00:08Z","timestamp":1769176808720,"version":"3.49.0"},"reference-count":29,"publisher":"Wiley","license":[{"start":{"date-parts":[[2022,2,8]],"date-time":"2022-02-08T00:00:00Z","timestamp":1644278400000},"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":[[2022,2,8]]},"abstract":"<jats:p>In various articles, it is said that the class of all soft topologies on a common universe forms a complete lattice, but in this paper, we prove that it is a complete lattice. Some soft topologies are maximal, and some are minimal with respect to specific soft topological properties. We study the properties of soft compact and soft connected topologies that are maximal. Particularly, we prove that a maximal soft compact topology has identical families of soft compact and soft closed sets. We further show that a maximal soft compact topology is soft <jats:inline-formula>\n                     <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\">\n                        <a:msub>\n                           <a:mrow>\n                              <a:mi>T<\/a:mi>\n                           <\/a:mrow>\n                           <a:mrow>\n                              <a:mn>1<\/a:mn>\n                           <\/a:mrow>\n                        <\/a:msub>\n                     <\/a:math>\n                  <\/jats:inline-formula>, while a maximal soft connected topology is soft <jats:inline-formula>\n                     <c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\">\n                        <c:msub>\n                           <c:mrow>\n                              <c:mi>T<\/c:mi>\n                           <\/c:mrow>\n                           <c:mrow>\n                              <c:mn>0<\/c:mn>\n                           <\/c:mrow>\n                        <\/c:msub>\n                     <\/c:math>\n                  <\/jats:inline-formula>. Lastly, we establish that each soft connected relative topology to a maximal soft connected topology is maximal.<\/jats:p>","DOI":"10.1155\/2022\/9860015","type":"journal-article","created":{"date-parts":[[2022,2,8]],"date-time":"2022-02-08T20:05:07Z","timestamp":1644350707000},"page":"1-7","source":"Crossref","is-referenced-by-count":19,"title":["Maximal Soft Compact and Maximal Soft Connected Topologies"],"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"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0740-3331","authenticated-orcid":true,"given":"Zanyar A.","family":"Ameen","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, University of Duhok, Duhok 42001, Iraq"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"crossref","first-page":"394","DOI":"10.1142\/9789814261302_0021","volume-title":"Fuzzy Sets, in Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems: Selected Papers by Lotfi A Zadeh","author":"L. 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Ilango","year":"2013","journal-title":"International Journal of Mathematics Research"}],"container-title":["Applied Computational Intelligence and Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/acisc\/2022\/9860015.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/acisc\/2022\/9860015.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/acisc\/2022\/9860015.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,2,8]],"date-time":"2022-02-08T20:05:18Z","timestamp":1644350718000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/acisc\/2022\/9860015\/"}},"subtitle":[],"editor":[{"given":"Anandakumar","family":"Haldorai","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2022,2,8]]},"references-count":29,"alternative-id":["9860015","9860015"],"URL":"https:\/\/doi.org\/10.1155\/2022\/9860015","relation":{},"ISSN":["1687-9732","1687-9724"],"issn-type":[{"value":"1687-9732","type":"electronic"},{"value":"1687-9724","type":"print"}],"subject":[],"published":{"date-parts":[[2022,2,8]]}}}