{"id":"https://openalex.org/W4391221298","doi":"https://doi.org/10.3390/sym16020143","title":"Connectedness of Soft-Ideal Topological Spaces","display_name":"Connectedness of Soft-Ideal Topological Spaces","publication_year":2024,"publication_date":"2024-01-25","ids":{"openalex":"https://openalex.org/W4391221298","doi":"https://doi.org/10.3390/sym16020143"},"language":"en","primary_location":{"id":"doi:10.3390/sym16020143","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16020143","pdf_url":"https://www.mdpi.com/2073-8994/16/2/143/pdf?version=1706176684","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/16/2/143/pdf?version=1706176684","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010938634","display_name":"Ahmad Al-Omari","orcid":"https://orcid.org/0000-0002-6696-1301"},"institutions":[{"id":"https://openalex.org/I31079310","display_name":"Al al-Bayt University","ror":"https://ror.org/028jh2126","country_code":"JO","type":"education","lineage":["https://openalex.org/I31079310"]}],"countries":["JO"],"is_corresponding":true,"raw_author_name":"Ahmad Al-Omari","raw_affiliation_strings":["Faculty of Sciences, Department of Mathematics, Al-al-Bayt University, P.O. Box 130095, Mafraq 25113, Jordan"],"raw_orcid":"https://orcid.org/0000-0002-6696-1301","affiliations":[{"raw_affiliation_string":"Faculty of Sciences, Department of Mathematics, Al-al-Bayt University, P.O. Box 130095, Mafraq 25113, Jordan","institution_ids":["https://openalex.org/I31079310"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008026055","display_name":"Wafa Alqurashi","orcid":null},"institutions":[{"id":"https://openalex.org/I199693650","display_name":"Umm al-Qura University","ror":"https://ror.org/01xjqrm90","country_code":"SA","type":"education","lineage":["https://openalex.org/I199693650"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Wafa Alqurashi","raw_affiliation_strings":["Faculty of Sciences, Department of Mathematics, Umm Al-Qura University, P.O. Box 11155, Makkah 21955, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-0766-2333","affiliations":[{"raw_affiliation_string":"Faculty of Sciences, Department of Mathematics, Umm Al-Qura University, P.O. Box 11155, Makkah 21955, Saudi Arabia","institution_ids":["https://openalex.org/I199693650"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010938634"],"corresponding_institution_ids":["https://openalex.org/I31079310"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.922,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.74087255,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"16","issue":"2","first_page":"143","last_page":"143"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9473999738693237,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/social-connectedness","display_name":"Social connectedness","score":0.9184842109680176},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.6914054155349731},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.5914773941040039},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5082292556762695},{"id":"https://openalex.org/keywords/simplicity","display_name":"Simplicity","score":0.5070922374725342},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49262696504592896},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.47585222125053406},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37347543239593506},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25483500957489014},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16177025437355042},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.12287870049476624},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10978859663009644},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.07315260171890259}],"concepts":[{"id":"https://openalex.org/C201943243","wikidata":"https://www.wikidata.org/wiki/Q7551008","display_name":"Social connectedness","level":2,"score":0.9184842109680176},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.6914054155349731},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.5914773941040039},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5082292556762695},{"id":"https://openalex.org/C2776372474","wikidata":"https://www.wikidata.org/wiki/Q508291","display_name":"Simplicity","level":2,"score":0.5070922374725342},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49262696504592896},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.47585222125053406},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37347543239593506},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25483500957489014},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16177025437355042},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.12287870049476624},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10978859663009644},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.07315260171890259},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym16020143","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16020143","pdf_url":"https://www.mdpi.com/2073-8994/16/2/143/pdf?version=1706176684","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:8ef4e5cddaa04c688f80081cc2514828","is_oa":false,"landing_page_url":"https://doaj.org/article/8ef4e5cddaa04c688f80081cc2514828","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 16, Iss 2, p 143 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym16020143","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16020143","pdf_url":"https://www.mdpi.com/2073-8994/16/2/143/pdf?version=1706176684","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4391221298.pdf","grobid_xml":"https://content.openalex.org/works/W4391221298.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1978352585","https://openalex.org/W1980564456","https://openalex.org/W2013932252","https://openalex.org/W2023769726","https://openalex.org/W2035446340","https://openalex.org/W2069754181","https://openalex.org/W2071759399","https://openalex.org/W2079457935","https://openalex.org/W2083267403","https://openalex.org/W2268144734","https://openalex.org/W2270062300","https://openalex.org/W2293991990","https://openalex.org/W2334228519","https://openalex.org/W2424590591","https://openalex.org/W2514754342","https://openalex.org/W2791799703","https://openalex.org/W2792766627","https://openalex.org/W2803479614","https://openalex.org/W2943472897","https://openalex.org/W2996837744","https://openalex.org/W3036689284","https://openalex.org/W3083448375","https://openalex.org/W3184895372","https://openalex.org/W4213100037","https://openalex.org/W4236526037","https://openalex.org/W4296013576","https://openalex.org/W4296402955","https://openalex.org/W4306701544","https://openalex.org/W4307933736","https://openalex.org/W4388639058","https://openalex.org/W4388831268","https://openalex.org/W4389100398","https://openalex.org/W6645451138","https://openalex.org/W6693738018","https://openalex.org/W6693854917","https://openalex.org/W6697010934","https://openalex.org/W6718010654"],"related_works":["https://openalex.org/W2368019753","https://openalex.org/W2333930193","https://openalex.org/W2737356002","https://openalex.org/W2246241526","https://openalex.org/W4301122218","https://openalex.org/W2374150061","https://openalex.org/W2081340182","https://openalex.org/W2369703001","https://openalex.org/W2383388349","https://openalex.org/W3187237649"],"abstract_inverted_index":{"Despite":[0],"its":[1,14,126],"apparent":[2],"simplicity,":[3],"the":[4,20,24,64,80,99,147],"idea":[5,25],"of":[6,19,26,66,73,82,114],"connectedness":[7,42,102,105],"has":[8],"significant":[9],"effects":[10],"on":[11],"topology":[12],"and":[13,38,45,63,78,86,103,121,139,143],"applications.":[15],"An":[16],"essential":[17],"part":[18],"intermediate-value":[21],"theorem":[22],"is":[23,43,47],"connectedness.":[27],"In":[28],"many":[29],"applications,":[30],"such":[31],"as":[32,69],"population":[33],"modeling,":[34],"robotics":[35],"motion":[36],"planning,":[37],"geographic":[39],"information":[40],"systems,":[41],"significant,":[44],"it":[46],"a":[48,70,133],"critical":[49],"factor":[50],"in":[51,106],"differentiating":[52],"between":[53,135,149],"various":[54],"topological":[55,108],"spaces.":[56],"This":[57],"study":[58,145],"uses":[59],"soft":[60,67,74,83,88,92,118,122],"open":[61,119],"sets":[62,75,115,120],"concept":[65],"ideals":[68,123],"new":[71,112,137],"class":[72,113],"to":[76,124],"present":[77],"explore":[79],"ideas":[81],"connected":[84,89],"spaces":[85,90],"strongly":[87],"with":[91],"ideals.":[93],"Also,":[94],"under":[95],"certain":[96],"assumptions":[97],"regarding":[98],"subsequent":[100],"concepts\u2014soft-ideal":[101],"stronglysoft-ideal":[104],"soft-ideal":[107],"spaces\u2014we":[109],"characterize":[110],"this":[111,144],"by":[116],"employing":[117],"examine":[125],"fundamental":[127],"features.":[128],"Furthermore,":[129],"we":[130],"look":[131],"at":[132],"symmetry":[134],"our":[136],"notions":[138],"other":[140],"existing":[141],"ones,":[142],"examines":[146],"relationships":[148],"these":[150],"concepts.":[151]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}