{"id":"https://openalex.org/W2031705245","doi":"https://doi.org/10.1142/s0218488504002801","title":"FUZZY CHU SPACES AND FUZZY TOPOLOGIES","display_name":"FUZZY CHU SPACES AND FUZZY TOPOLOGIES","publication_year":2004,"publication_date":"2004-04-01","ids":{"openalex":"https://openalex.org/W2031705245","doi":"https://doi.org/10.1142/s0218488504002801","mag":"2031705245"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488504002801","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488504002801","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"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":"International Journal of Uncertainty, Fuzziness and Knowledge-Based 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":false,"raw_author_name":"ARUN K. SRIVASTAVA","raw_affiliation_strings":["Department of Mathematics, Banaras Hindu University, Varanasi, U.P. 221005, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Banaras Hindu University, Varanasi, U.P. 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, Banaras Hindu University, Varanasi, U.P. 221005, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Banaras Hindu University, Varanasi, U.P. 221005, India","institution_ids":["https://openalex.org/I91357014"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I91357014"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.16208347,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"12","issue":"02","first_page":"245","last_page":"253"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9991999864578247,"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":0.9991999864578247,"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":0.970300018787384,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9429000020027161,"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/coproduct","display_name":"Coproduct","score":0.7482319474220276},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.611327588558197},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5239184498786926},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5206046104431152},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.4763636589050293},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.46213215589523315},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.45404210686683655},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.44199028611183167},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4246810972690582},{"id":"https://openalex.org/keywords/fuzzy-subalgebra","display_name":"Fuzzy subalgebra","score":0.4107041358947754},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.3957926332950592},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3918342590332031},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.38601207733154297},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33732056617736816},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32353079319000244},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25966906547546387},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17205345630645752}],"concepts":[{"id":"https://openalex.org/C36259021","wikidata":"https://www.wikidata.org/wiki/Q692689","display_name":"Coproduct","level":2,"score":0.7482319474220276},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.611327588558197},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5239184498786926},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5206046104431152},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.4763636589050293},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.46213215589523315},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.45404210686683655},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.44199028611183167},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4246810972690582},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.4107041358947754},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.3957926332950592},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3918342590332031},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.38601207733154297},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33732056617736816},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32353079319000244},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25966906547546387},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17205345630645752},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218488504002801","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488504002801","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"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":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1996605832","https://openalex.org/W2054416947","https://openalex.org/W2482810752","https://openalex.org/W3145063512","https://openalex.org/W4256490113"],"related_works":["https://openalex.org/W2166637398","https://openalex.org/W1486684451","https://openalex.org/W2087021805","https://openalex.org/W2052368025","https://openalex.org/W2037428035","https://openalex.org/W2374152511","https://openalex.org/W2066929655","https://openalex.org/W2142453121","https://openalex.org/W4312800262","https://openalex.org/W2756644388"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2],"each":[3],"fuzzy":[4,16],"(or":[5,17],"in":[6],"general":[7],"L-)":[8,19],"topological":[9],"space":[10],"can":[11],"be":[12],"represented":[13],"as":[14],"a":[15],"an":[18],"Chu":[20],"space.":[21],"Further,":[22],"this":[23],"representation":[24],"preserves":[25],"products,":[26,29],"coproducts,":[27],"tensor":[28],"and":[30],"hom-sets":[31],"(together":[32],"with":[33],"the":[34],"structures":[35],"they":[36],"are":[37],"enriched":[38],"with).":[39]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
