{"id":"https://openalex.org/W4380086216","doi":"https://doi.org/10.1007/s40314-023-02347-1","title":"On duality for fuzzy quasi-normed space","display_name":"On duality for fuzzy quasi-normed space","publication_year":2023,"publication_date":"2023-06-09","ids":{"openalex":"https://openalex.org/W4380086216","doi":"https://doi.org/10.1007/s40314-023-02347-1"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-023-02347-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-023-02347-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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/A5100452689","display_name":"Han Wang","orcid":"https://orcid.org/0000-0002-2655-3346"},"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":"Han Wang","raw_affiliation_strings":["College of Mathematical Science, Suzhou University of Science and Technology, Suzhou, 215009, Jiangsu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematical Science, Suzhou University of Science and Technology, Suzhou, 215009, Jiangsu, China","institution_ids":["https://openalex.org/I308837"]}]},{"author_position":"middle","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":"Jianrong Wu","raw_affiliation_strings":["College of Mathematical Science, Suzhou University of Science and Technology, Suzhou, 215009, Jiangsu, China"],"raw_orcid":"https://orcid.org/0000-0001-8765-467X","affiliations":[{"raw_affiliation_string":"College of Mathematical Science, Suzhou University of Science and Technology, Suzhou, 215009, Jiangsu, China","institution_ids":["https://openalex.org/I308837"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059689645","display_name":"Zhenyu Jin","orcid":"https://orcid.org/0009-0000-9717-5293"},"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":"Zhenyu Jin","raw_affiliation_strings":["College of Mathematical Science, Suzhou University of Science and Technology, Suzhou, 215009, Jiangsu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematical Science, Suzhou University of Science and Technology, Suzhou, 215009, Jiangsu, 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":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":0.4831,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57025179,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"42","issue":"5","first_page":null,"last_page":null},"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":0.916100025177002,"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/normed-vector-space","display_name":"Normed vector space","score":0.8198907971382141},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7039345502853394},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5682932138442993},{"id":"https://openalex.org/keywords/normed-algebra","display_name":"Normed algebra","score":0.5307982563972473},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5288984179496765},{"id":"https://openalex.org/keywords/dual-norm","display_name":"Dual norm","score":0.5280492901802063},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5126263499259949},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4424012303352356},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.4283980131149292},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3824515640735626},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3424626588821411},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34027576446533203},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18521103262901306},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.061389774084091187}],"concepts":[{"id":"https://openalex.org/C171739935","wikidata":"https://www.wikidata.org/wiki/Q726210","display_name":"Normed vector space","level":2,"score":0.8198907971382141},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7039345502853394},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5682932138442993},{"id":"https://openalex.org/C113577549","wikidata":"https://www.wikidata.org/wiki/Q1999917","display_name":"Normed algebra","level":5,"score":0.5307982563972473},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5288984179496765},{"id":"https://openalex.org/C100022809","wikidata":"https://www.wikidata.org/wiki/Q5310221","display_name":"Dual norm","level":3,"score":0.5280492901802063},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5126263499259949},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4424012303352356},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4283980131149292},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3824515640735626},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3424626588821411},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34027576446533203},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18521103262901306},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.061389774084091187},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C81999800","wikidata":"https://www.wikidata.org/wiki/Q1454725","display_name":"Current algebra","level":3,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C100376341","wikidata":"https://www.wikidata.org/wiki/Q649977","display_name":"Jordan algebra","level":4,"score":0.0},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-023-02347-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-023-02347-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1968172834","https://openalex.org/W1969710704","https://openalex.org/W1987761358","https://openalex.org/W1991885920","https://openalex.org/W2008230680","https://openalex.org/W2032769966","https://openalex.org/W2050155921","https://openalex.org/W2075707935","https://openalex.org/W3217475271","https://openalex.org/W4226088553","https://openalex.org/W4255621572"],"related_works":["https://openalex.org/W2570400190","https://openalex.org/W2910693632","https://openalex.org/W2911547775","https://openalex.org/W2156188895","https://openalex.org/W4388009873","https://openalex.org/W819769070","https://openalex.org/W151667675","https://openalex.org/W4366768782","https://openalex.org/W4386890267","https://openalex.org/W2028999494"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
