{"id":"https://openalex.org/W4383721620","doi":"https://doi.org/10.1007/s40815-023-01562-6","title":"Duality for Best Approximation in Fuzzy Quasi-normed Spaces","display_name":"Duality for Best Approximation in Fuzzy Quasi-normed Spaces","publication_year":2023,"publication_date":"2023-07-10","ids":{"openalex":"https://openalex.org/W4383721620","doi":"https://doi.org/10.1007/s40815-023-01562-6"},"language":"en","primary_location":{"id":"doi:10.1007/s40815-023-01562-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40815-023-01562-6","pdf_url":null,"source":{"id":"https://openalex.org/S18792341","display_name":"International Journal of Fuzzy Systems","issn_l":"1562-2479","issn":["1562-2479","2199-3211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of 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":true,"raw_author_name":"Jian-Rong Wu","raw_affiliation_strings":["School of Mathematical Science, Suzhou University of Science and Technology, Suzhou, 215009, Jiangsu, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Suzhou University of Science and Technology, Suzhou, 215009, Jiangsu, People\u2019s Republic of China","institution_ids":["https://openalex.org/I308837"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100317922","display_name":"He Liu","orcid":"https://orcid.org/0009-0000-6035-0430"},"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":"He Liu","raw_affiliation_strings":["School of Mathematical Science, Suzhou University of Science and Technology, Suzhou, 215009, Jiangsu, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Suzhou University of Science and Technology, Suzhou, 215009, Jiangsu, People\u2019s Republic of China","institution_ids":["https://openalex.org/I308837"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108724481","display_name":"Duan Hua","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":"Hua Duan","raw_affiliation_strings":["School of Mathematical Science, Suzhou University of Science and Technology, Suzhou, 215009, Jiangsu, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Suzhou University of Science and Technology, Suzhou, 215009, Jiangsu, People\u2019s Republic of China","institution_ids":["https://openalex.org/I308837"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100452249"],"corresponding_institution_ids":["https://openalex.org/I308837"],"apc_list":{"value":3490,"currency":"USD","value_usd":3490},"apc_paid":null,"fwci":0.9662,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.71518495,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"26","issue":"1","first_page":"333","last_page":"343"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9718000292778015,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9286999702453613,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/normed-vector-space","display_name":"Normed vector space","score":0.7740732431411743},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6842285394668579},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.6589756011962891},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.6398931741714478},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.5809618234634399},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4928433895111084},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.49174264073371887},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4130902886390686},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4021160304546356},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33433109521865845},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2055041790008545},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.198164165019989},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11372548341751099}],"concepts":[{"id":"https://openalex.org/C171739935","wikidata":"https://www.wikidata.org/wiki/Q726210","display_name":"Normed vector space","level":2,"score":0.7740732431411743},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6842285394668579},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.6589756011962891},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.6398931741714478},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.5809618234634399},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4928433895111084},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.49174264073371887},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4130902886390686},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4021160304546356},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33433109521865845},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2055041790008545},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.198164165019989},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11372548341751099},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40815-023-01562-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40815-023-01562-6","pdf_url":null,"source":{"id":"https://openalex.org/S18792341","display_name":"International Journal of Fuzzy Systems","issn_l":"1562-2479","issn":["1562-2479","2199-3211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of 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":21,"referenced_works":["https://openalex.org/W1246665917","https://openalex.org/W1533842436","https://openalex.org/W1600681068","https://openalex.org/W1968577377","https://openalex.org/W1991885920","https://openalex.org/W2050155921","https://openalex.org/W2062812957","https://openalex.org/W2064496085","https://openalex.org/W2068770167","https://openalex.org/W2102623471","https://openalex.org/W2135345927","https://openalex.org/W2328222956","https://openalex.org/W2799337128","https://openalex.org/W3095514947","https://openalex.org/W3118280687","https://openalex.org/W3217475271","https://openalex.org/W4226088553","https://openalex.org/W4286560316","https://openalex.org/W4387720666","https://openalex.org/W4387722481","https://openalex.org/W6681522190"],"related_works":["https://openalex.org/W2369655046","https://openalex.org/W2019467317","https://openalex.org/W1585519779","https://openalex.org/W1965515989","https://openalex.org/W4376167435","https://openalex.org/W2088737283","https://openalex.org/W1999587863","https://openalex.org/W3122644328","https://openalex.org/W2164080590","https://openalex.org/W1019837216"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
