{"id":"https://openalex.org/W4317631166","doi":"https://doi.org/10.1142/s1793005724500030","title":"Connectedness of Soft r-Topological Spaces","display_name":"Connectedness of Soft r-Topological Spaces","publication_year":2023,"publication_date":"2023-01-20","ids":{"openalex":"https://openalex.org/W4317631166","doi":"https://doi.org/10.1142/s1793005724500030"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005724500030","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s1793005724500030","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062846831","display_name":"Harzheen D. Abdulkareem","orcid":null},"institutions":[{"id":"https://openalex.org/I6033180","display_name":"University of Duhok","ror":"https://ror.org/02g07ds81","country_code":"IQ","type":"education","lineage":["https://openalex.org/I6033180"]}],"countries":["IQ"],"is_corresponding":false,"raw_author_name":"Harzheen D. Abdulkareem","raw_affiliation_strings":["Department of Mathematics, College of Basic Education, University of Duhok, Duhok 42001, Iraq"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Basic Education, University of Duhok, Duhok 42001, Iraq","institution_ids":["https://openalex.org/I6033180"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056379185","display_name":"Ramadhan A. Mohammed","orcid":"https://orcid.org/0000-0003-1085-4504"},"institutions":[{"id":"https://openalex.org/I6033180","display_name":"University of Duhok","ror":"https://ror.org/02g07ds81","country_code":"IQ","type":"education","lineage":["https://openalex.org/I6033180"]}],"countries":["IQ"],"is_corresponding":false,"raw_author_name":"Ramadhan A. Mohammed","raw_affiliation_strings":["Department of Mathematics, College of Basic Education, University of Duhok, Duhok 42001, Iraq"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Basic Education, University of Duhok, Duhok 42001, Iraq","institution_ids":["https://openalex.org/I6033180"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013409308","display_name":"Zanyar A. Ameen","orcid":"https://orcid.org/0000-0003-0740-3331"},"institutions":[{"id":"https://openalex.org/I6033180","display_name":"University of Duhok","ror":"https://ror.org/02g07ds81","country_code":"IQ","type":"education","lineage":["https://openalex.org/I6033180"]}],"countries":["IQ"],"is_corresponding":true,"raw_author_name":"Zanyar A. Ameen","raw_affiliation_strings":["Department of Mathematics, College of Science, University of Duhok, Duhok 42001, Iraq"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, University of Duhok, Duhok 42001, Iraq","institution_ids":["https://openalex.org/I6033180"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013409308"],"corresponding_institution_ids":["https://openalex.org/I6033180"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00842302,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":"01","first_page":"27","last_page":"43"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9742000102996826,"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":0.9742000102996826,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/social-connectedness","display_name":"Social connectedness","score":0.9054543972015381},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.709385335445404},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5430152416229248},{"id":"https://openalex.org/keywords/open-set","display_name":"Open set","score":0.4930419623851776},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49063506722450256},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.46252521872520447},{"id":"https://openalex.org/keywords/closed-set","display_name":"Closed set","score":0.4438537061214447},{"id":"https://openalex.org/keywords/soft-set","display_name":"Soft set","score":0.41410452127456665},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33212506771087646},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2817370295524597},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20380562543869019},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08531069755554199}],"concepts":[{"id":"https://openalex.org/C201943243","wikidata":"https://www.wikidata.org/wiki/Q7551008","display_name":"Social connectedness","level":2,"score":0.9054543972015381},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.709385335445404},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5430152416229248},{"id":"https://openalex.org/C42357961","wikidata":"https://www.wikidata.org/wiki/Q213363","display_name":"Open set","level":2,"score":0.4930419623851776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49063506722450256},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.46252521872520447},{"id":"https://openalex.org/C164953516","wikidata":"https://www.wikidata.org/wiki/Q320357","display_name":"Closed set","level":2,"score":0.4438537061214447},{"id":"https://openalex.org/C2777037408","wikidata":"https://www.wikidata.org/wiki/Q4310193","display_name":"Soft set","level":3,"score":0.41410452127456665},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33212506771087646},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2817370295524597},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20380562543869019},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08531069755554199},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s1793005724500030","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s1793005724500030","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:nmncxx:v:20:y:2024:i:01:n:s1793005724500030","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S1793005724500030","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1978352585","https://openalex.org/W1997282640","https://openalex.org/W2023769726","https://openalex.org/W2069754181","https://openalex.org/W2083267403","https://openalex.org/W2293737317","https://openalex.org/W2322735128","https://openalex.org/W2340020088","https://openalex.org/W2753351433","https://openalex.org/W2755045416","https://openalex.org/W2942388385","https://openalex.org/W2947571128","https://openalex.org/W3020999668","https://openalex.org/W3198313716","https://openalex.org/W4210457345","https://openalex.org/W4210909418","https://openalex.org/W4213100037","https://openalex.org/W4213270990","https://openalex.org/W4220993789","https://openalex.org/W4225424923","https://openalex.org/W4251225685","https://openalex.org/W4281956687","https://openalex.org/W4283360806","https://openalex.org/W4284893250","https://openalex.org/W4285060891","https://openalex.org/W4400944146"],"related_works":["https://openalex.org/W4297492286","https://openalex.org/W2152245920","https://openalex.org/W3022714090","https://openalex.org/W3046408280","https://openalex.org/W2475732849","https://openalex.org/W2324717575","https://openalex.org/W3013379449","https://openalex.org/W3131280249","https://openalex.org/W4317631166","https://openalex.org/W4286448769"],"abstract_inverted_index":{"Topological":[0],"properties":[1,20,29,188],"are":[2,168,175,180,197],"essential":[3],"for":[4],"developing":[5],"digital":[6],"line":[7],"spaces":[8],"and":[9,189],"computer":[10],"graphics":[11],"other":[12],"than":[13,119],"the":[14,38,46,59,70,103,120,126,139,173],"field":[15],"of":[16,37,48,55,61,72,84,105,128,143,163,191],"topology.":[17],"Soft":[18,33],"topological":[19,28,42,53],"must":[21],"play":[22],"an":[23],"equal":[24],"role":[25],"as":[26],"classical":[27],"or":[30],"even":[31],"better.":[32],"connectedness":[34,71,151],"is":[35,117],"one":[36],"most":[39],"fundamental":[40],"soft":[41,75,85,89,107,114,129,145,150,153,159,165,184,192],"aspects.":[43],"It":[44],"studies":[45],"nearness":[47],"two":[49],"objects":[50],"from":[51],"a":[52,81,113,144,164,183],"point":[54],"view.":[56],"By":[57],"considering":[58],"significance":[60],"this":[62,66],"concept,":[63],"we":[64,124],"make":[65],"contribution":[67],"to":[68,137,170],"study":[69],"some":[73],"strong":[74],"topologies.":[76],"We":[77,100,147],"begin":[78],"by":[79,95],"introducing":[80],"new":[82],"class":[83],"open":[86,185],"sets,":[87,93,133],"named":[88],"[Formula:":[90,108,130,140,154,160,193],"see":[91,109,131,141,155,161,194],"text]-open":[92,110],"followed":[94],"establishing":[96],"its":[97],"main":[98],"properties.":[99],"show":[101,148,171],"that":[102,149,172],"collection":[104],"all":[106],"sets":[111,196],"constitutes":[112],"topology,":[115],"which":[116,134,157],"coarser":[118],"original":[121],"one.":[122],"Then,":[123],"define":[125],"concept":[127],"text]-separated":[132],"helps":[135],"us":[136],"give":[138],"text]-connectedness":[142,162],"set.":[146,166,186],"implies":[152,158],"text]-connectedness,":[156],"Counterexamples":[167],"provided":[169],"implications":[174],"not":[176],"reversible.":[177],"However,":[178],"they":[179],"identical":[181],"on":[182],"Further":[187],"characterizations":[190],"text]-connected":[195],"proposed.":[198]},"counts_by_year":[],"updated_date":"2025-12-24T23:09:58.560324","created_date":"2025-10-10T00:00:00"}
