{"id":"https://openalex.org/W4406162938","doi":"https://doi.org/10.1007/s40314-025-03086-1","title":"Research on k-norms and fuzzy k-norms","display_name":"Research on k-norms and fuzzy k-norms","publication_year":2025,"publication_date":"2025-01-09","ids":{"openalex":"https://openalex.org/W4406162938","doi":"https://doi.org/10.1007/s40314-025-03086-1"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-025-03086-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03086-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["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/A5052637428","display_name":"Yu Zhong","orcid":"https://orcid.org/0000-0002-9559-5064"},"institutions":[{"id":"https://openalex.org/I1456306","display_name":"North China University of Technology","ror":"https://ror.org/01nky7652","country_code":"CN","type":"education","lineage":["https://openalex.org/I1456306"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yu Zhong","raw_affiliation_strings":["College of Science, North China University of Technology, Beijing, 100144, People\u2019s Republic of China","College of Science, North China University of Technology, Beijing, 100144, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Science, North China University of Technology, Beijing, 100144, People\u2019s Republic of China","institution_ids":["https://openalex.org/I1456306"]},{"raw_affiliation_string":"College of Science, North China University of Technology, Beijing, 100144, People's Republic of China","institution_ids":["https://openalex.org/I1456306"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071686524","display_name":"Yuhuan Guo","orcid":"https://orcid.org/0009-0008-5791-5726"},"institutions":[{"id":"https://openalex.org/I1456306","display_name":"North China University of Technology","ror":"https://ror.org/01nky7652","country_code":"CN","type":"education","lineage":["https://openalex.org/I1456306"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu-Huan Guo","raw_affiliation_strings":["College of Science, North China University of Technology, Beijing, 100144, People\u2019s Republic of China","College of Science, North China University of Technology, Beijing, 100144, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Science, North China University of Technology, Beijing, 100144, People\u2019s Republic of China","institution_ids":["https://openalex.org/I1456306"]},{"raw_affiliation_string":"College of Science, North China University of Technology, Beijing, 100144, People's Republic of China","institution_ids":["https://openalex.org/I1456306"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086246307","display_name":"Zhihui Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I1456306","display_name":"North China University of Technology","ror":"https://ror.org/01nky7652","country_code":"CN","type":"education","lineage":["https://openalex.org/I1456306"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhi-Hui Yang","raw_affiliation_strings":["College of Science, North China University of Technology, Beijing, 100144, People\u2019s Republic of China","College of Science, North China University of Technology, Beijing, 100144, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Science, North China University of Technology, Beijing, 100144, People\u2019s Republic of China","institution_ids":["https://openalex.org/I1456306"]},{"raw_affiliation_string":"College of Science, North China University of Technology, Beijing, 100144, People's Republic of China","institution_ids":["https://openalex.org/I1456306"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5052637428"],"corresponding_institution_ids":["https://openalex.org/I1456306"],"apc_list":null,"apc_paid":null,"fwci":2.2705,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.83767271,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"44","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9995999932289124,"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":0.9995999932289124,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9939000010490417,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9814000129699707,"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/norm","display_name":"Norm (philosophy)","score":0.7737759351730347},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6395162343978882},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.5102241039276123},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5074612498283386},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.49921131134033203},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.4224008619785309},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40739351511001587},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33700132369995117},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2581544518470764},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2111954391002655},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0933350920677185},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.06900554895401001}],"concepts":[{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.7737759351730347},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6395162343978882},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.5102241039276123},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5074612498283386},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.49921131134033203},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.4224008619785309},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40739351511001587},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33700132369995117},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2581544518470764},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2111954391002655},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0933350920677185},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.06900554895401001},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-025-03086-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03086-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["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/G4067688372","display_name":null,"funder_award_id":"11901007","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":47,"referenced_works":["https://openalex.org/W1458771408","https://openalex.org/W1969710704","https://openalex.org/W1970547217","https://openalex.org/W1978339398","https://openalex.org/W1979624559","https://openalex.org/W1991265810","https://openalex.org/W2002541167","https://openalex.org/W2008230680","https://openalex.org/W2015651254","https://openalex.org/W2026008963","https://openalex.org/W2032769966","https://openalex.org/W2035999820","https://openalex.org/W2054416947","https://openalex.org/W2062529344","https://openalex.org/W2065201093","https://openalex.org/W2068824212","https://openalex.org/W2082826327","https://openalex.org/W2083520831","https://openalex.org/W2090718877","https://openalex.org/W2187531049","https://openalex.org/W2620103099","https://openalex.org/W2737051083","https://openalex.org/W2940883728","https://openalex.org/W2941031180","https://openalex.org/W2941814631","https://openalex.org/W2946358669","https://openalex.org/W2997219707","https://openalex.org/W3012478401","https://openalex.org/W3013303958","https://openalex.org/W3038092995","https://openalex.org/W3123598216","https://openalex.org/W3155394121","https://openalex.org/W3175504185","https://openalex.org/W3204430772","https://openalex.org/W3208324876","https://openalex.org/W4210976921","https://openalex.org/W4211007335","https://openalex.org/W4220707365","https://openalex.org/W4220778458","https://openalex.org/W4226278695","https://openalex.org/W4255621572","https://openalex.org/W4312076706","https://openalex.org/W4313194263","https://openalex.org/W4385847057","https://openalex.org/W4386890303","https://openalex.org/W4387339513","https://openalex.org/W4389331080"],"related_works":["https://openalex.org/W2086397253","https://openalex.org/W2133122801","https://openalex.org/W600422426","https://openalex.org/W2007156430","https://openalex.org/W3081478936","https://openalex.org/W2785612136","https://openalex.org/W2099529706","https://openalex.org/W1988224651","https://openalex.org/W2560916850","https://openalex.org/W2148224044"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}