{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,10]],"date-time":"2026-01-10T19:28:38Z","timestamp":1768073318913,"version":"3.49.0"},"reference-count":35,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2024,1,25]],"date-time":"2024-01-25T00:00:00Z","timestamp":1706140800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Despite its apparent simplicity, the idea of connectedness has significant effects on topology and its applications. An essential part of the intermediate-value theorem is the idea of connectedness. In many applications, such as population modeling, robotics motion planning, and geographic information systems, connectedness is significant, and it is a critical factor in differentiating between various topological spaces. This study uses soft open sets and the concept of soft ideals as a new class of soft sets to present and explore the ideas of soft connected spaces and strongly soft connected spaces with soft ideals. Also, under certain assumptions regarding the subsequent concepts\u2014soft-ideal connectedness and stronglysoft-ideal connectedness in soft-ideal topological spaces\u2014we characterize this new class of sets by employing soft open sets and soft ideals to examine its fundamental features. Furthermore, we look at a symmetry between our new notions and other existing ones, and this study examines the relationships between these concepts.<\/jats:p>","DOI":"10.3390\/sym16020143","type":"journal-article","created":{"date-parts":[[2024,1,25]],"date-time":"2024-01-25T06:54:12Z","timestamp":1706165652000},"page":"143","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Connectedness of Soft-Ideal Topological Spaces"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6696-1301","authenticated-orcid":false,"given":"Ahmad","family":"Al-Omari","sequence":"first","affiliation":[{"name":"Faculty of Sciences, Department of Mathematics, Al-al-Bayt University, P.O. Box 130095, Mafraq 25113, Jordan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0766-2333","authenticated-orcid":false,"given":"Wafa","family":"Alqurashi","sequence":"additional","affiliation":[{"name":"Faculty of Sciences, Department of Mathematics, Umm Al-Qura University, P.O. Box 11155, Makkah 21955, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2024,1,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/S0898-1221(99)00056-5","article-title":"Soft set theory-first results","volume":"37","author":"Molodtsov","year":"1999","journal-title":"Comput. Math. Appl."},{"key":"ref_2","first-page":"8","article-title":"Soft sets technique and its application","volume":"1","author":"Molodtsov","year":"2006","journal-title":"Nechetkie Sist. 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