{"id":"https://openalex.org/W4285237194","doi":"https://doi.org/10.1109/tfuzz.2022.3172987","title":"Open Mapping and Closed Graph Theorems in Fuzzy Quasi-Normed Spaces","display_name":"Open Mapping and Closed Graph Theorems in Fuzzy Quasi-Normed Spaces","publication_year":2022,"publication_date":"2022-05-06","ids":{"openalex":"https://openalex.org/W4285237194","doi":"https://doi.org/10.1109/tfuzz.2022.3172987"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2022.3172987","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2022.3172987","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy 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/A5100452249","display_name":"Jianrong Wu","orcid":"https://orcid.org/0000-0001-8765-467X"},"institutions":[{"id":"https://openalex.org/I308837","display_name":"Suzhou University of Science and Technology","ror":"https://ror.org/04en8wb91","country_code":"CN","type":"education","lineage":["https://openalex.org/I308837"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianrong Wu","raw_affiliation_strings":["College of Mathematics Science, Suzhou University of Science and Technology, Suzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-8765-467X","affiliations":[{"raw_affiliation_string":"College of Mathematics Science, Suzhou University of Science and Technology, Suzhou, China","institution_ids":["https://openalex.org/I308837"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057829869","display_name":"Ruini Li","orcid":null},"institutions":[{"id":"https://openalex.org/I308837","display_name":"Suzhou University of Science and Technology","ror":"https://ror.org/04en8wb91","country_code":"CN","type":"education","lineage":["https://openalex.org/I308837"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruini Li","raw_affiliation_strings":["College of Mathematics Science, Suzhou University of Science and Technology, Suzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics Science, Suzhou University of Science and Technology, Suzhou, China","institution_ids":["https://openalex.org/I308837"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I308837"],"apc_list":null,"apc_paid":null,"fwci":2.735,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.90572973,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"30","issue":"12","first_page":"5291","last_page":"5296"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9891999959945679,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.9315000176429749,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6824918985366821},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5781809687614441},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.47504496574401855},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.4724334180355072},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47236400842666626},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4183225631713867},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35806652903556824},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34283772110939026},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2732589840888977},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09809988737106323}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6824918985366821},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5781809687614441},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.47504496574401855},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.4724334180355072},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47236400842666626},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4183225631713867},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35806652903556824},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34283772110939026},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2732589840888977},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09809988737106323}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2022.3172987","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2022.3172987","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2061983207","display_name":"\u6a21\u7cca\u62df\u8303\u6570\u7a7a\u95f4\u7406\u8bba\u53ca\u5176\u5e94\u7528\u7814\u7a76","funder_award_id":"11971343","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1533842436","https://openalex.org/W1968172834","https://openalex.org/W1969710704","https://openalex.org/W1987761358","https://openalex.org/W1991885920","https://openalex.org/W2008209365","https://openalex.org/W2008230680","https://openalex.org/W2032769966","https://openalex.org/W2050155921","https://openalex.org/W2062529344","https://openalex.org/W2062812957","https://openalex.org/W2068770167","https://openalex.org/W2074259866","https://openalex.org/W2276266448","https://openalex.org/W2282400658","https://openalex.org/W2763814195","https://openalex.org/W2946409723","https://openalex.org/W3042430766","https://openalex.org/W3087886469","https://openalex.org/W3095514947","https://openalex.org/W4255621572","https://openalex.org/W6694868525","https://openalex.org/W6745421885","https://openalex.org/W6783381530"],"related_works":["https://openalex.org/W2968787399","https://openalex.org/W2362172228","https://openalex.org/W4362726523","https://openalex.org/W2239515625","https://openalex.org/W2934534378","https://openalex.org/W4246187199","https://openalex.org/W2613195666","https://openalex.org/W2160983798","https://openalex.org/W2592368695","https://openalex.org/W2491326069"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"study":[4],"some":[5],"topological":[6],"properties":[7],"of":[8,25,33],"fuzzy":[9,26,38],"quasi-normed":[10,27],"spaces,":[11],"and":[12,17,41],"prove":[13],"the":[14,18,23],"open":[15],"mapping":[16],"closed":[19],"graph":[20],"theorems":[21],"in":[22,36],"framework":[24],"spaces.":[28],"The":[29],"obtained":[30],"results":[31],"are":[32],"important":[34],"roles":[35],"developing":[37],"functional":[39],"analysis":[40],"its":[42],"applications.":[43]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
