{"id":"https://openalex.org/W2143734035","doi":"https://doi.org/10.1155/2011/768028","title":"On Fuzzy<i>Sp</i>-Open Sets","display_name":"On Fuzzy<i>Sp</i>-Open Sets","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2143734035","doi":"https://doi.org/10.1155/2011/768028","mag":"2143734035"},"language":"en","primary_location":{"id":"doi:10.1155/2011/768028","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/768028","pdf_url":"https://downloads.hindawi.com/journals/afs/2011/768028.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/afs/2011/768028.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057528789","display_name":"Hakeem A. Othman","orcid":"https://orcid.org/0000-0002-3559-2953"},"institutions":[{"id":"https://openalex.org/I4210114659","display_name":"Yemenia University","ror":"https://ror.org/022jg8f66","country_code":"YE","type":"education","lineage":["https://openalex.org/I4210114659"]},{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA","YE"],"is_corresponding":true,"raw_author_name":"Hakeem A. Othman","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, Saudi Arabia","Department of Mathematics, Rada'a College of Education and Science, Albida, Yemen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]},{"raw_affiliation_string":"Department of Mathematics, Rada'a College of Education and Science, Albida, Yemen","institution_ids":["https://openalex.org/I4210114659"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5057528789"],"corresponding_institution_ids":["https://openalex.org/I4210114659","https://openalex.org/I82952536"],"apc_list":{"value":925,"currency":"USD","value_usd":925},"apc_paid":{"value":925,"currency":"USD","value_usd":925},"fwci":0.3749,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68827398,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2011","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9973000288009644,"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":0.9973000288009644,"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":0.9126999974250793,"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"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9056000113487244,"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.6880307197570801},{"id":"https://openalex.org/keywords/open-set","display_name":"Open set","score":0.6153018474578857},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5932422876358032},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.516182005405426},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4947204291820526},{"id":"https://openalex.org/keywords/fuzzy-subalgebra","display_name":"Fuzzy subalgebra","score":0.47059524059295654},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.4643685221672058},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.45903658866882324},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41517138481140137},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4004310667514801},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34165823459625244},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33000439405441284},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32389509677886963},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21914049983024597},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21524181962013245}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6880307197570801},{"id":"https://openalex.org/C42357961","wikidata":"https://www.wikidata.org/wiki/Q213363","display_name":"Open set","level":2,"score":0.6153018474578857},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5932422876358032},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.516182005405426},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4947204291820526},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.47059524059295654},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.4643685221672058},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.45903658866882324},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41517138481140137},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4004310667514801},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34165823459625244},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33000439405441284},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32389509677886963},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21914049983024597},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21524181962013245}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2011/768028","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/768028","pdf_url":"https://downloads.hindawi.com/journals/afs/2011/768028.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:6b0d755427fa463397c477d5a51ad3bc","is_oa":true,"landing_page_url":"https://doaj.org/article/6b0d755427fa463397c477d5a51ad3bc","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advances in Fuzzy Systems, Vol 2011 (2011)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2011/768028","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/768028","pdf_url":"https://downloads.hindawi.com/journals/afs/2011/768028.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2143734035.pdf","grobid_xml":"https://content.openalex.org/works/W2143734035.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1976917040","https://openalex.org/W2009471482","https://openalex.org/W2014449324","https://openalex.org/W2047001732","https://openalex.org/W2049155451","https://openalex.org/W2099798579","https://openalex.org/W2745109647"],"related_works":["https://openalex.org/W1486684451","https://openalex.org/W2166637398","https://openalex.org/W2087021805","https://openalex.org/W2066929655","https://openalex.org/W1487720066","https://openalex.org/W4388516489","https://openalex.org/W4361984403","https://openalex.org/W2466052371","https://openalex.org/W2037428035","https://openalex.org/W1489009679"],"abstract_inverted_index":{"A":[0],"new":[1,29],"class":[2],"of":[3,35,57,84,101],"generalized":[4],"fuzzy":[5,9,13,36,45,49,61,85,90],"open":[6,37],"sets":[7,38,103],"in":[8],"topological":[10],"space,":[11],"called":[12],"sp":[14,46,50,58,62,91],"-open":[15],"sets,":[16],"are":[17,22,95],"introduced,":[18],"and":[19,24,31,53,65,80,88,104],"their":[20,67],"properties":[21],"studied":[23],"the":[25,44,74,99],"relationship":[26],"between":[27,76],"this":[28],"concept":[30],"other":[32,54,81],"weaker":[33,82],"forms":[34,56,83],"we":[39,42,72],"discussed.":[40],"Moreover,":[41],"introduce":[43,89],"-continuous":[47,59],"(resp.,":[48,60],"-open)":[51,63],"mapping":[52,64,87],"stronger":[55],"establish":[66],"various":[68],"characteristic":[69],"properties.":[70],"Finally,":[71],"study":[73],"relationships":[75],"all":[77],"these":[78,102],"mappings":[79],"continuous":[86],"-connected.":[92],"Counter":[93],"examples":[94],"given":[96],"to":[97],"show":[98],"noncoincidence":[100],"mappings.":[105]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2016-06-24T00:00:00"}
