{"id":"https://openalex.org/W1975547429","doi":"https://doi.org/10.1016/s0165-0114(02)00442-6","title":"On relationships among fuzzy approximation operators, fuzzy topology, and fuzzy automata","display_name":"On relationships among fuzzy approximation operators, fuzzy topology, and fuzzy automata","publication_year":2003,"publication_date":"2003-04-25","ids":{"openalex":"https://openalex.org/W1975547429","doi":"https://doi.org/10.1016/s0165-0114(02)00442-6","mag":"1975547429"},"language":"en","primary_location":{"id":"doi:10.1016/s0165-0114(02)00442-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(02)00442-6","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and Systems","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/A5101990994","display_name":"Arun K. Srivastava","orcid":"https://orcid.org/0000-0002-8540-4308"},"institutions":[{"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":true,"raw_author_name":"Arun K. Srivastava","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221005, India","Department of Mathematics , Faculty of Science, Banaras Hindu University , Varanasi, 221005, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221005, India","institution_ids":["https://openalex.org/I91357014"]},{"raw_affiliation_string":"Department of Mathematics , Faculty of Science, Banaras Hindu University , Varanasi, 221005, India","institution_ids":["https://openalex.org/I91357014"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030396819","display_name":"S. P. Tiwari","orcid":"https://orcid.org/0000-0002-7517-107X"},"institutions":[{"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":"S.P. Tiwari","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221005, India","Department of Mathematics , Faculty of Science, Banaras Hindu University , Varanasi, 221005, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221005, India","institution_ids":["https://openalex.org/I91357014"]},{"raw_affiliation_string":"Department of Mathematics , Faculty of Science, Banaras Hindu University , Varanasi, 221005, India","institution_ids":["https://openalex.org/I91357014"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101990994"],"corresponding_institution_ids":["https://openalex.org/I91357014"],"apc_list":{"value":2600,"currency":"USD","value_usd":2600},"apc_paid":null,"fwci":1.4401,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.80824954,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"138","issue":"1","first_page":"197","last_page":"204"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9994000196456909,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9988999962806702,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9980999827384949,"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/mathematics","display_name":"Mathematics","score":0.8198052644729614},{"id":"https://openalex.org/keywords/fuzzy-subalgebra","display_name":"Fuzzy subalgebra","score":0.6446951031684875},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6018312573432922},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5297502279281616},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.5259683132171631},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.501122236251831},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.4892990291118622},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48920392990112305},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.4669089913368225},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.46160995960235596},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.45574522018432617},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4511881172657013},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.4391217529773712},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.43221038579940796},{"id":"https://openalex.org/keywords/transitive-closure","display_name":"Transitive closure","score":0.425738126039505},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.3996947109699249},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35141780972480774},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17691975831985474},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14440199732780457},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13535213470458984},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.10998567938804626}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8198052644729614},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.6446951031684875},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6018312573432922},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5297502279281616},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.5259683132171631},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.501122236251831},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.4892990291118622},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48920392990112305},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.4669089913368225},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.46160995960235596},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.45574522018432617},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4511881172657013},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4391217529773712},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.43221038579940796},{"id":"https://openalex.org/C128896722","wikidata":"https://www.wikidata.org/wiki/Q1501387","display_name":"Transitive closure","level":2,"score":0.425738126039505},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3996947109699249},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35141780972480774},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17691975831985474},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14440199732780457},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13535213470458984},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.10998567938804626},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0165-0114(02)00442-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(02)00442-6","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W115463038","https://openalex.org/W1482209170","https://openalex.org/W1559875882","https://openalex.org/W1894629745","https://openalex.org/W1977766497","https://openalex.org/W1987251161","https://openalex.org/W2003571395","https://openalex.org/W2027654459","https://openalex.org/W2036104856","https://openalex.org/W2046478035","https://openalex.org/W2055225885","https://openalex.org/W2086067542","https://openalex.org/W2328366571","https://openalex.org/W2498663949","https://openalex.org/W4249224694","https://openalex.org/W6604710665"],"related_works":["https://openalex.org/W2253053392","https://openalex.org/W3176863924","https://openalex.org/W3186561448","https://openalex.org/W2674573885","https://openalex.org/W1542808721","https://openalex.org/W2331106272","https://openalex.org/W2325893522","https://openalex.org/W3118797707","https://openalex.org/W2037428035","https://openalex.org/W1489009679"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}