{"id":"https://openalex.org/W3082477726","doi":"https://doi.org/10.1109/fuzz48607.2020.9177783","title":"Integral transforms on spaces of complete residuated lattice valued functions","display_name":"Integral transforms on spaces of complete residuated lattice valued functions","publication_year":2020,"publication_date":"2020-07-01","ids":{"openalex":"https://openalex.org/W3082477726","doi":"https://doi.org/10.1109/fuzz48607.2020.9177783","mag":"3082477726"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz48607.2020.9177783","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz48607.2020.9177783","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-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/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":true,"raw_author_name":"Michal Holcapek","raw_affiliation_strings":["CE IT4I \u2013 IRAFM, University of Ostrava, Ostrava, Czech Republic"],"affiliations":[{"raw_affiliation_string":"CE IT4I \u2013 IRAFM, University of Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I187293425"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031893903","display_name":"Viec Bui","orcid":null},"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":"Viec Bui","raw_affiliation_strings":["CE IT4I \u2013 IRAFM, University of Ostrava, Ostrava, Czech Republic"],"affiliations":[{"raw_affiliation_string":"CE IT4I \u2013 IRAFM, University of Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I187293425"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043083576"],"corresponding_institution_ids":["https://openalex.org/I187293425"],"apc_list":null,"apc_paid":null,"fwci":0.5629,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.73030772,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9995999932289124,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9995999932289124,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9941999912261963,"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/residuated-lattice","display_name":"Residuated lattice","score":0.7721231579780579},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7510538101196289},{"id":"https://openalex.org/keywords/integral-transform","display_name":"Integral transform","score":0.617963433265686},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5979921817779541},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5717320442199707},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.46775293350219727},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.44464367628097534},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4191858172416687},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3733689785003662},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25784391164779663},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17041900753974915},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11674156785011292},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08190634846687317}],"concepts":[{"id":"https://openalex.org/C2781278839","wikidata":"https://www.wikidata.org/wiki/Q9462417","display_name":"Residuated lattice","level":3,"score":0.7721231579780579},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7510538101196289},{"id":"https://openalex.org/C200052193","wikidata":"https://www.wikidata.org/wiki/Q877802","display_name":"Integral transform","level":2,"score":0.617963433265686},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5979921817779541},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5717320442199707},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.46775293350219727},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44464367628097534},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4191858172416687},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3733689785003662},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25784391164779663},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17041900753974915},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11674156785011292},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08190634846687317}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz48607.2020.9177783","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz48607.2020.9177783","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1484881229","https://openalex.org/W1503075583","https://openalex.org/W1567172441","https://openalex.org/W1974278230","https://openalex.org/W1997196510","https://openalex.org/W2019277237","https://openalex.org/W2075594316","https://openalex.org/W2087171145","https://openalex.org/W2089436497","https://openalex.org/W2105428558","https://openalex.org/W2110182592","https://openalex.org/W2154274300","https://openalex.org/W2506954980","https://openalex.org/W2518632878","https://openalex.org/W2549935939","https://openalex.org/W2593074971","https://openalex.org/W2598218473","https://openalex.org/W2750644403","https://openalex.org/W2790012665","https://openalex.org/W2803356659","https://openalex.org/W2899456540","https://openalex.org/W2914663918","https://openalex.org/W2917878399","https://openalex.org/W3007903545","https://openalex.org/W3043771091","https://openalex.org/W3123056373","https://openalex.org/W4231175676","https://openalex.org/W4234672050","https://openalex.org/W6780661845"],"related_works":["https://openalex.org/W2186053625","https://openalex.org/W2777780798","https://openalex.org/W2063151284","https://openalex.org/W2052933125","https://openalex.org/W2997864359","https://openalex.org/W2157039219","https://openalex.org/W2410127010","https://openalex.org/W3082477726","https://openalex.org/W4220718442","https://openalex.org/W2912784772"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,10,31,50,61],"this":[3],"paper":[4],"is":[5],"to":[6],"introduce":[7],"two":[8],"types":[9],"integral":[11,33,42,45,64],"transforms":[12,21,34],"that":[13],"naturally":[14],"generalize":[15],"the":[16,23,29,48,58,62],"lower":[17],"and":[18,43],"upper":[19],"fuzzy":[20,40,54],"for":[22],"residuated":[24],"lattice":[25],"valued":[26],"functions.":[27],"For":[28],"construction":[30],"such":[32],"we":[35],"consider":[36],"a":[37,51],"multiplication":[38],"based":[39],"(qualitative)":[41],"an":[44],"kernel":[46],"in":[47],"form":[49],"special":[52],"binary":[53],"relation.":[55],"We":[56],"analyze":[57],"basic":[59],"properties":[60],"proposed":[63],"transforms.":[65]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}