{"id":"https://openalex.org/W2086489088","doi":"https://doi.org/10.1155/2012/604396","title":"Separation Axioms in Intuitionistic Fuzzy Topological Spaces","display_name":"Separation Axioms in Intuitionistic Fuzzy Topological Spaces","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2086489088","doi":"https://doi.org/10.1155/2012/604396","mag":"2086489088"},"language":"lv","primary_location":{"id":"doi:10.1155/2012/604396","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/604396","pdf_url":"https://downloads.hindawi.com/journals/afs/2012/604396.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/2012/604396.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060670614","display_name":"Amit Kumar Singh","orcid":"https://orcid.org/0000-0001-7609-4750"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Amit Kumar Singh","raw_affiliation_strings":["Electronics and Communication Sciences Unit, Indian Statistical Institute, Kolkata 700108, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electronics and Communication Sciences Unit, Indian Statistical Institute, Kolkata 700108, India","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020861807","display_name":"Rekha Srivastava","orcid":"https://orcid.org/0000-0002-7694-0352"},"institutions":[{"id":"https://openalex.org/I56404289","display_name":"Indian Institute of Technology BHU","ror":"https://ror.org/01kh5gc44","country_code":"IN","type":"education","lineage":["https://openalex.org/I56404289"]},{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rekha Srivastava","raw_affiliation_strings":["Department of Applied Mathematics, Indian Institute of Technology (BHU), Varanasi 221005, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Indian Institute of Technology (BHU), Varanasi 221005, India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060670614"],"corresponding_institution_ids":["https://openalex.org/I6498739"],"apc_list":{"value":900,"currency":"USD","value_usd":900},"apc_paid":{"value":900,"currency":"USD","value_usd":900},"fwci":1.2417,"has_fulltext":true,"cited_by_count":22,"citation_normalized_percentile":{"value":0.82182156,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2012","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9994999766349792,"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":0.9994999766349792,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9750000238418579,"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":0.9667999744415283,"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/algorithm","display_name":"Algorithm","score":0.5821690559387207},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3884413242340088},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37063729763031006}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5821690559387207},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3884413242340088},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37063729763031006}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2012/604396","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/604396","pdf_url":"https://downloads.hindawi.com/journals/afs/2012/604396.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:e799378764b04395bbfd939a49a35fc2","is_oa":true,"landing_page_url":"https://doaj.org/article/e799378764b04395bbfd939a49a35fc2","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 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/604396","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/604396","pdf_url":"https://downloads.hindawi.com/journals/afs/2012/604396.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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2086489088.pdf","grobid_xml":"https://content.openalex.org/works/W2086489088.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W29529511","https://openalex.org/W64077981","https://openalex.org/W845948036","https://openalex.org/W1980564456","https://openalex.org/W2002541167","https://openalex.org/W2015672384","https://openalex.org/W2022589595","https://openalex.org/W2032265439","https://openalex.org/W2049555613","https://openalex.org/W2064972787","https://openalex.org/W2065133555","https://openalex.org/W2083124936","https://openalex.org/W2235799607","https://openalex.org/W2912565176","https://openalex.org/W2920894683","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"have":[4],"studied":[5],"separation":[6],"axioms<mml:math":[7],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[8,10,27,29,33,38],"id=\"M1\"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math>,<mml:math":[9],"id=\"M2\"><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn></mml:math>in":[11],"an":[12],"intuitionistic":[13],"fuzzy":[14],"topological":[15],"space":[16],"introduced":[17],"by":[18],"Coker.":[19],"We":[20],"also":[21],"show":[22],"the":[23],"existence":[24],"of":[25],"functors<mml:math":[26],"id=\"M3\"><mml:mi>\u212c</mml:mi><mml:mo>:</mml:mo><mml:mtext>IF</mml:mtext><mml:mtext>-</mml:mtext><mml:mtext>Top</mml:mtext><mml:mo>\u2192</mml:mo><mml:mtext>BF</mml:mtext><mml:mtext>-</mml:mtext><mml:mtext>Top</mml:mtext></mml:math>and<mml:math":[28],"id=\"M4\"><mml:mi>\ud835\udc9f</mml:mi><mml:mo>:</mml:mo><mml:mtext>BF</mml:mtext><mml:mtext>-</mml:mtext><mml:mtext>Top</mml:mtext><mml:mo>\u2192</mml:mo><mml:mtext>IF</mml:mtext><mml:mtext>-</mml:mtext><mml:mtext>Top</mml:mtext></mml:math>and":[30],"observe":[31],"that<mml:math":[32],"id=\"M5\"><mml:mrow><mml:mi>\ud835\udc9f</mml:mi></mml:mrow></mml:math>is":[34],"left":[35],"adjoint":[36],"to<mml:math":[37],"id=\"M6\"><mml:mrow><mml:mi>\u212c</mml:mi></mml:mrow></mml:math>.":[39]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
