{"id":"https://openalex.org/W2061647199","doi":"https://doi.org/10.1155/2011/941982","title":"On Lower Separation and Regularity Axioms in Fuzzy Topological Spaces","display_name":"On Lower Separation and Regularity Axioms in Fuzzy Topological Spaces","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2061647199","doi":"https://doi.org/10.1155/2011/941982","mag":"2061647199"},"language":"en","primary_location":{"id":"doi:10.1155/2011/941982","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/941982","pdf_url":"https://downloads.hindawi.com/journals/afs/2011/941982.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/2011/941982.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051498731","display_name":"Amin Saif","orcid":"https://orcid.org/0000-0002-9120-6260"},"institutions":[{"id":"https://openalex.org/I130343225","display_name":"Universiti Putra Malaysia","ror":"https://ror.org/02e91jd64","country_code":"MY","type":"education","lineage":["https://openalex.org/I130343225"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Amin Saif","raw_affiliation_strings":["Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, UPM, Serdang, Selangor 43400, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, UPM, Serdang, Selangor 43400, Malaysia","institution_ids":["https://openalex.org/I130343225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025569523","display_name":"Adem K\u0131l\u0131\u00e7man","orcid":"https://orcid.org/0000-0002-1217-963X"},"institutions":[{"id":"https://openalex.org/I130343225","display_name":"Universiti Putra Malaysia","ror":"https://ror.org/02e91jd64","country_code":"MY","type":"education","lineage":["https://openalex.org/I130343225"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"Adem K\u0131l\u0131\u00e7man","raw_affiliation_strings":["Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, UPM, Serdang, Selangor 43400, Malaysia"],"raw_orcid":"https://orcid.org/0000-0002-1217-963X","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, UPM, Serdang, Selangor 43400, Malaysia","institution_ids":["https://openalex.org/I130343225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025569523"],"corresponding_institution_ids":["https://openalex.org/I130343225"],"apc_list":{"value":900,"currency":"USD","value_usd":900},"apc_paid":{"value":900,"currency":"USD","value_usd":900},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15613646,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2011","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9883000254631042,"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":0.9740999937057495,"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/separation-axiom","display_name":"Separation axiom","score":0.9381842017173767},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.8024911284446716},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.6959031820297241},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5907365083694458},{"id":"https://openalex.org/keywords/t1-space","display_name":"T1 space","score":0.5891008377075195},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5287510752677917},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5125913023948669},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.46785977482795715},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4526897370815277},{"id":"https://openalex.org/keywords/separation","display_name":"Separation (statistics)","score":0.4365047514438629},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3057060241699219},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19980233907699585},{"id":"https://openalex.org/keywords/topological-vector-space","display_name":"Topological vector space","score":0.1989191174507141},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1580263376235962},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.10508131980895996},{"id":"https://openalex.org/keywords/zero-dimensional-space","display_name":"Zero-dimensional space","score":0.08042609691619873},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06844162940979004}],"concepts":[{"id":"https://openalex.org/C40409056","wikidata":"https://www.wikidata.org/wiki/Q1140985","display_name":"Separation axiom","level":3,"score":0.9381842017173767},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.8024911284446716},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.6959031820297241},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5907365083694458},{"id":"https://openalex.org/C106558176","wikidata":"https://www.wikidata.org/wiki/Q284347","display_name":"T1 space","level":5,"score":0.5891008377075195},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5287510752677917},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5125913023948669},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46785977482795715},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4526897370815277},{"id":"https://openalex.org/C2776061190","wikidata":"https://www.wikidata.org/wiki/Q7451805","display_name":"Separation (statistics)","level":2,"score":0.4365047514438629},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3057060241699219},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19980233907699585},{"id":"https://openalex.org/C47776270","wikidata":"https://www.wikidata.org/wiki/Q1455249","display_name":"Topological vector space","level":3,"score":0.1989191174507141},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1580263376235962},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.10508131980895996},{"id":"https://openalex.org/C140936041","wikidata":"https://www.wikidata.org/wiki/Q1801244","display_name":"Zero-dimensional space","level":4,"score":0.08042609691619873},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06844162940979004},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2011/941982","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/941982","pdf_url":"https://downloads.hindawi.com/journals/afs/2011/941982.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:psasir.upm.edu.my:24865","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196260","display_name":"Universiti Putra Malaysia Institutional Repository (Universiti Putra Malaysia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I130343225","host_organization_name":"Universiti Putra Malaysia","host_organization_lineage":["https://openalex.org/I130343225"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:doaj.org/article:24d49eb5ec2940be9910c2a3422bb148","is_oa":true,"landing_page_url":"https://doaj.org/article/24d49eb5ec2940be9910c2a3422bb148","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:10.1155/2011/941982","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/941982","pdf_url":"https://downloads.hindawi.com/journals/afs/2011/941982.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":[{"display_name":"Reduced inequalities","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2061647199.pdf","grobid_xml":"https://content.openalex.org/works/W2061647199.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W64077981","https://openalex.org/W1536149155","https://openalex.org/W1766627805","https://openalex.org/W1976267273","https://openalex.org/W1978339398","https://openalex.org/W2002541167","https://openalex.org/W2006993273","https://openalex.org/W2012621954","https://openalex.org/W2013277811","https://openalex.org/W2024556527","https://openalex.org/W2024610628","https://openalex.org/W2025084982","https://openalex.org/W2037626239","https://openalex.org/W2049314504","https://openalex.org/W2057313133","https://openalex.org/W2059214154","https://openalex.org/W2065133555","https://openalex.org/W2076766714","https://openalex.org/W2083520831","https://openalex.org/W2099798579","https://openalex.org/W2123920730","https://openalex.org/W2156311117","https://openalex.org/W2235799607","https://openalex.org/W2912565176"],"related_works":["https://openalex.org/W4388633357","https://openalex.org/W1436669948","https://openalex.org/W3157862209","https://openalex.org/W4399984771","https://openalex.org/W2556166941","https://openalex.org/W2383601889","https://openalex.org/W2613195666","https://openalex.org/W1558169942","https://openalex.org/W2011502444","https://openalex.org/W4393107377"],"abstract_inverted_index":{"We":[0],"use":[1],"the":[2,5,25,38,43],"concepts":[3],"of":[4,34,46],"quasicoincident":[6],"relation":[7],"to":[8],"introduce":[9],"and":[10,21,28,37],"investigate":[11],"some":[12,33],"lower":[13],"separation":[14],"axioms":[15,27],"such":[16],"as":[17,22,24],",":[18,19,20],"well":[23],"regularity":[26],".":[29],"Further":[30],"we":[31],"study":[32],"their":[35],"properties":[36],"relations":[39],"among":[40],"them":[41],"in":[42],"general":[44],"framework":[45],"fuzzy":[47],"topological":[48],"spaces.":[49]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
