{"id":"https://openalex.org/W2041083464","doi":"https://doi.org/10.1007/s11083-008-9088-2","title":"Monadic Bounded Commutative Residuated \u2113-monoids","display_name":"Monadic Bounded Commutative Residuated \u2113-monoids","publication_year":2008,"publication_date":"2008-05-01","ids":{"openalex":"https://openalex.org/W2041083464","doi":"https://doi.org/10.1007/s11083-008-9088-2","mag":"2041083464"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-008-9088-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-008-9088-2","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","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/A5109291101","display_name":"Ji\u0159\u00ed Rach\u016fnek","orcid":null},"institutions":[{"id":"https://openalex.org/I70703428","display_name":"Palack\u00fd University Olomouc","ror":"https://ror.org/04qxnmv42","country_code":"CZ","type":"education","lineage":["https://openalex.org/I70703428"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Ji\u0159\u00ed Rach\u016fnek","raw_affiliation_strings":["Department of Algebra and Geometry, Faculty of Sciences, Palack\u00fd University, Tomkova 40, 779 00, Olomouc, Czech Republic","Palack\u00fd University"],"affiliations":[{"raw_affiliation_string":"Department of Algebra and Geometry, Faculty of Sciences, Palack\u00fd University, Tomkova 40, 779 00, Olomouc, Czech Republic","institution_ids":["https://openalex.org/I70703428"]},{"raw_affiliation_string":"Palack\u00fd University","institution_ids":["https://openalex.org/I70703428"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076841616","display_name":"Filip \u0160vr\u010dek","orcid":null},"institutions":[{"id":"https://openalex.org/I70703428","display_name":"Palack\u00fd University Olomouc","ror":"https://ror.org/04qxnmv42","country_code":"CZ","type":"education","lineage":["https://openalex.org/I70703428"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Filip \u0160vr\u010dek","raw_affiliation_strings":["Department of Algebra and Geometry, Faculty of Sciences, Palack\u00fd University, Tomkova 40, 779 00, Olomouc, Czech Republic","Palack\u00fd University"],"affiliations":[{"raw_affiliation_string":"Department of Algebra and Geometry, Faculty of Sciences, Palack\u00fd University, Tomkova 40, 779 00, Olomouc, Czech Republic","institution_ids":["https://openalex.org/I70703428"]},{"raw_affiliation_string":"Palack\u00fd University","institution_ids":["https://openalex.org/I70703428"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109291101"],"corresponding_institution_ids":["https://openalex.org/I70703428"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.2386,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.80357507,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"25","issue":"2","first_page":"157","last_page":"175"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9994999766349792,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9955999851226807,"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/mathematics","display_name":"Mathematics","score":0.8413454294204712},{"id":"https://openalex.org/keywords/\u0142ukasiewicz-logic","display_name":"\u0141ukasiewicz logic","score":0.7222868204116821},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.6606274843215942},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5747747421264648},{"id":"https://openalex.org/keywords/heyting-algebra","display_name":"Heyting algebra","score":0.5700789093971252},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5401380062103271},{"id":"https://openalex.org/keywords/residuated-lattice","display_name":"Residuated lattice","score":0.5034138560295105},{"id":"https://openalex.org/keywords/monoidal-t-norm-logic","display_name":"Monoidal t-norm logic","score":0.497999906539917},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.4768342077732086},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4647578001022339},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.42676597833633423},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41838937997817993},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41313445568084717},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.375837117433548},{"id":"https://openalex.org/keywords/many-valued-logic","display_name":"Many-valued logic","score":0.2126692235469818},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.1969432532787323},{"id":"https://openalex.org/keywords/substructural-logic","display_name":"Substructural logic","score":0.18103474378585815},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.08820953965187073},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07143625617027283}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8413454294204712},{"id":"https://openalex.org/C206321295","wikidata":"https://www.wikidata.org/wiki/Q8080919","display_name":"\u0141ukasiewicz logic","level":5,"score":0.7222868204116821},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.6606274843215942},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5747747421264648},{"id":"https://openalex.org/C187062830","wikidata":"https://www.wikidata.org/wiki/Q1617044","display_name":"Heyting algebra","level":3,"score":0.5700789093971252},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5401380062103271},{"id":"https://openalex.org/C2781278839","wikidata":"https://www.wikidata.org/wiki/Q9462417","display_name":"Residuated lattice","level":3,"score":0.5034138560295105},{"id":"https://openalex.org/C98224912","wikidata":"https://www.wikidata.org/wiki/Q6901647","display_name":"Monoidal t-norm logic","level":5,"score":0.497999906539917},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.4768342077732086},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4647578001022339},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.42676597833633423},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41838937997817993},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41313445568084717},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.375837117433548},{"id":"https://openalex.org/C150889026","wikidata":"https://www.wikidata.org/wiki/Q185502","display_name":"Many-valued logic","level":3,"score":0.2126692235469818},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.1969432532787323},{"id":"https://openalex.org/C144760519","wikidata":"https://www.wikidata.org/wiki/Q839490","display_name":"Substructural logic","level":4,"score":0.18103474378585815},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.08820953965187073},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07143625617027283},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11083-008-9088-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-008-9088-2","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W17179744","https://openalex.org/W72673440","https://openalex.org/W161423670","https://openalex.org/W375015757","https://openalex.org/W639782591","https://openalex.org/W943327428","https://openalex.org/W1481249376","https://openalex.org/W1514758454","https://openalex.org/W1578881895","https://openalex.org/W1586446371","https://openalex.org/W1964472717","https://openalex.org/W1977445231","https://openalex.org/W1987204945","https://openalex.org/W1996564497","https://openalex.org/W2023721953","https://openalex.org/W2026699468","https://openalex.org/W2029285695","https://openalex.org/W2031349440","https://openalex.org/W2047865342","https://openalex.org/W2057500258","https://openalex.org/W2071248897","https://openalex.org/W2092934088","https://openalex.org/W2109696340","https://openalex.org/W2110182592","https://openalex.org/W2118158405","https://openalex.org/W2154274300","https://openalex.org/W2506954980","https://openalex.org/W3041386822","https://openalex.org/W3048114716","https://openalex.org/W4251890863"],"related_works":["https://openalex.org/W1783029874","https://openalex.org/W1595640337","https://openalex.org/W2320083306","https://openalex.org/W4205339083","https://openalex.org/W2128380750","https://openalex.org/W169137922","https://openalex.org/W2401934682","https://openalex.org/W2235150891","https://openalex.org/W1519624158","https://openalex.org/W2041083464"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
