{"id":"https://openalex.org/W2620761666","doi":"https://doi.org/10.1007/s00500-017-2658-8","title":"Multivariate fuzzy transform of complex-valued functions determined by monomial basis","display_name":"Multivariate fuzzy transform of complex-valued functions determined by monomial basis","publication_year":2017,"publication_date":"2017-06-03","ids":{"openalex":"https://openalex.org/W2620761666","doi":"https://doi.org/10.1007/s00500-017-2658-8","mag":"2620761666"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-017-2658-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-017-2658-8","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","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/A5045269843","display_name":"Linh Nguyen","orcid":"https://orcid.org/0000-0003-2200-6983"},"institutions":[{"id":"https://openalex.org/I187293425","display_name":"University of Ostrava","ror":"https://ror.org/00pyqav47","country_code":"CZ","type":"education","lineage":["https://openalex.org/I187293425"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Linh Nguyen","raw_affiliation_strings":["Institute for Research and Applications of Fuzzy Modeling, CE IT4Innovations, University of Ostrava, 30. dubna 22, 701 03, Ostrava, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Institute for Research and Applications of Fuzzy Modeling, CE IT4Innovations, University of Ostrava, 30. dubna 22, 701 03, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I187293425"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043083576","display_name":"Michal Hol\u010dapek","orcid":"https://orcid.org/0000-0002-4654-0497"},"institutions":[{"id":"https://openalex.org/I187293425","display_name":"University of Ostrava","ror":"https://ror.org/00pyqav47","country_code":"CZ","type":"education","lineage":["https://openalex.org/I187293425"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Michal Hol\u010dapek","raw_affiliation_strings":["Institute for Research and Applications of Fuzzy Modeling, CE IT4Innovations, University of Ostrava, 30. dubna 22, 701 03, Ostrava, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Institute for Research and Applications of Fuzzy Modeling, CE IT4Innovations, University of Ostrava, 30. dubna 22, 701 03, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I187293425"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039200228","display_name":"Vil\u00e9m Nov\u00e1k","orcid":"https://orcid.org/0000-0002-9698-1629"},"institutions":[{"id":"https://openalex.org/I187293425","display_name":"University of Ostrava","ror":"https://ror.org/00pyqav47","country_code":"CZ","type":"education","lineage":["https://openalex.org/I187293425"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Vil\u00e9m Nov\u00e1k","raw_affiliation_strings":["Institute for Research and Applications of Fuzzy Modeling, CE IT4Innovations, University of Ostrava, 30. dubna 22, 701 03, Ostrava, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Institute for Research and Applications of Fuzzy Modeling, CE IT4Innovations, University of Ostrava, 30. dubna 22, 701 03, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I187293425"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045269843"],"corresponding_institution_ids":["https://openalex.org/I187293425"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.9181,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.89063229,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"21","issue":"13","first_page":"3641","last_page":"3658"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9968000054359436,"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"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9968000054359436,"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"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9940999746322632,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/orthogonalization","display_name":"Orthogonalization","score":0.7861801981925964},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.767768919467926},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.7150189876556396},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.6686244010925293},{"id":"https://openalex.org/keywords/monomial-basis","display_name":"Monomial basis","score":0.5364475846290588},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5065551996231079},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3704700469970703},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3317387104034424},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29956603050231934},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24838140606880188},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2115122377872467},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20066934823989868},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14028123021125793},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12981832027435303}],"concepts":[{"id":"https://openalex.org/C47559304","wikidata":"https://www.wikidata.org/wiki/Q1702189","display_name":"Orthogonalization","level":2,"score":0.7861801981925964},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.767768919467926},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.7150189876556396},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.6686244010925293},{"id":"https://openalex.org/C46132437","wikidata":"https://www.wikidata.org/wiki/Q6901742","display_name":"Monomial basis","level":3,"score":0.5364475846290588},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5065551996231079},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3704700469970703},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3317387104034424},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29956603050231934},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24838140606880188},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2115122377872467},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20066934823989868},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14028123021125793},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12981832027435303}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-017-2658-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-017-2658-8","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3256268584","display_name":null,"funder_award_id":"16-09541S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"}],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W173204586","https://openalex.org/W347311537","https://openalex.org/W362815228","https://openalex.org/W635879892","https://openalex.org/W638544165","https://openalex.org/W1465353039","https://openalex.org/W1795535613","https://openalex.org/W1898259180","https://openalex.org/W1965523942","https://openalex.org/W1975671275","https://openalex.org/W1982148517","https://openalex.org/W1986685626","https://openalex.org/W1988881936","https://openalex.org/W1998964470","https://openalex.org/W2002918766","https://openalex.org/W2004784139","https://openalex.org/W2007398691","https://openalex.org/W2017725028","https://openalex.org/W2037248507","https://openalex.org/W2039039921","https://openalex.org/W2057066113","https://openalex.org/W2067259779","https://openalex.org/W2070177169","https://openalex.org/W2075594316","https://openalex.org/W2077134345","https://openalex.org/W2079325629","https://openalex.org/W2088548589","https://openalex.org/W2089631843","https://openalex.org/W2092376312","https://openalex.org/W2094175511","https://openalex.org/W2104667983","https://openalex.org/W2122512809","https://openalex.org/W2136504686","https://openalex.org/W2159071216","https://openalex.org/W2160301185","https://openalex.org/W2165394162","https://openalex.org/W2179102053","https://openalex.org/W2193226364","https://openalex.org/W2232262673","https://openalex.org/W2268289160","https://openalex.org/W2324582001","https://openalex.org/W2327998311","https://openalex.org/W2407045856","https://openalex.org/W2464431599","https://openalex.org/W2480210587","https://openalex.org/W2503027620","https://openalex.org/W2514031837","https://openalex.org/W2514768652","https://openalex.org/W2561675875","https://openalex.org/W2575013785","https://openalex.org/W2610289416","https://openalex.org/W2619610413","https://openalex.org/W2625621843","https://openalex.org/W2734153750","https://openalex.org/W2906578822","https://openalex.org/W2911933153","https://openalex.org/W2912565176","https://openalex.org/W2917878399","https://openalex.org/W4211007335","https://openalex.org/W4238717354","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3027438086","https://openalex.org/W4287776222","https://openalex.org/W2068219544","https://openalex.org/W2594696802","https://openalex.org/W2951647001","https://openalex.org/W1509594480","https://openalex.org/W2353327911","https://openalex.org/W3121681491","https://openalex.org/W4294223057","https://openalex.org/W1970574340"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}