{"id":"https://openalex.org/W4294550794","doi":"https://doi.org/10.1016/j.fss.2022.08.023","title":"Reflectors to quantales","display_name":"Reflectors to quantales","publication_year":2022,"publication_date":"2022-09-02","ids":{"openalex":"https://openalex.org/W4294550794","doi":"https://doi.org/10.1016/j.fss.2022.08.023"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.fss.2022.08.023","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5088713826","display_name":"Xia Zhang","orcid":"https://orcid.org/0000-0001-7487-0840"},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xia Zhang","raw_affiliation_strings":["School of Mathematical Sciences, South China Normal University, 510631 Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, South China Normal University, 510631 Guangzhou, China","institution_ids":["https://openalex.org/I187400657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031218124","display_name":"Jan Paseka","orcid":"https://orcid.org/0000-0001-6658-6647"},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Jan Paseka","raw_affiliation_strings":["Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Kotl\u00e1\u0159sk\u00e1 2, CZ-611 37 Brno, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Kotl\u00e1\u0159sk\u00e1 2, CZ-611 37 Brno, Czech Republic","institution_ids":["https://openalex.org/I21449261"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060569862","display_name":"Jianjun Feng","orcid":null},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianjun Feng","raw_affiliation_strings":["School of Mathematical Sciences, South China Normal University, 510631 Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, South China Normal University, 510631 Guangzhou, China","institution_ids":["https://openalex.org/I187400657"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060774236","display_name":"Yudong Chen","orcid":"https://orcid.org/0000-0002-6416-5635"},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yudong Chen","raw_affiliation_strings":["School of Mathematical Sciences, South China Normal University, 510631 Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, South China Normal University, 510631 Guangzhou, China","institution_ids":["https://openalex.org/I187400657"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031218124"],"corresponding_institution_ids":["https://openalex.org/I21449261"],"apc_list":{"value":2600,"currency":"USD","value_usd":2600,"provenance":"doaj"},"apc_paid":null,"fwci":1.12,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.681916,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":72,"max":77},"biblio":{"volume":"455","issue":null,"first_page":"102","last_page":"123"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Fuzzy Logic and Residuated Lattices","score":0.9993,"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":"Fuzzy Logic and Residuated Lattices","score":0.9993,"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":"Application of Soft Set Theory in Decision Making","score":0.9977,"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/T11567","display_name":"Automata Theory and Formal Languages","score":0.9957,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reflection","display_name":"Reflection (computer programming)","score":0.54858255},{"id":"https://openalex.org/keywords/semigroups","display_name":"Semigroups","score":0.460333}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7138342},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.64880127},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.54858255},{"id":"https://openalex.org/C2778692605","wikidata":"https://www.wikidata.org/wiki/Q4041866","display_name":"Joins","level":2,"score":0.49224797},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1892511},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07300109},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06666511}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.fss.2022.08.023","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","award_id":null},{"funder":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund","award_id":"I 4579-N"},{"funder":"https://openalex.org/F4320334898","funder_display_name":"Guangzhou Science and Technology Program key projects","award_id":"202102080074"},{"funder":"https://openalex.org/F4320337111","funder_display_name":"Basic and Applied Basic Research Foundation of Guangdong Province","award_id":"2020A1515010206"},{"funder":"https://openalex.org/F4320337111","funder_display_name":"Basic and Applied Basic Research Foundation of Guangdong Province","award_id":"2021A1515010248"}],"datasets":[],"versions":[],"referenced_works_count":26,"referenced_works":["https://openalex.org/W1527487696","https://openalex.org/W1819103856","https://openalex.org/W1975547774","https://openalex.org/W1990882135","https://openalex.org/W1993393581","https://openalex.org/W2072782595","https://openalex.org/W2077461991","https://openalex.org/W2078432227","https://openalex.org/W2090781610","https://openalex.org/W21190073","https://openalex.org/W2152385778","https://openalex.org/W2187529425","https://openalex.org/W2290465282","https://openalex.org/W2462312553","https://openalex.org/W2510847153","https://openalex.org/W2572078071","https://openalex.org/W2574267903","https://openalex.org/W2887806375","https://openalex.org/W2911865844","https://openalex.org/W2915160661","https://openalex.org/W3035639841","https://openalex.org/W3213504789","https://openalex.org/W3215698206","https://openalex.org/W4213427446","https://openalex.org/W4231562015","https://openalex.org/W62599867"],"related_works":["https://openalex.org/W3047837489","https://openalex.org/W3013303285","https://openalex.org/W2622139626","https://openalex.org/W2393491644","https://openalex.org/W2385836742","https://openalex.org/W2382891957","https://openalex.org/W2133660117","https://openalex.org/W2104496206","https://openalex.org/W2088925915","https://openalex.org/W2067184662"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,17,118],"show":[4],"that":[5,74,89],"marked":[6,22,29,71,107],"quantales":[7,20,23,72,108,123],"have":[8,42],"a":[9,32,60,75,130],"reflection":[10,16,121],"into":[11],"quantales.":[12,96,116],"To":[13],"obtain":[14],"the":[15,51,68,93,109,126],"construct":[18],"free":[19],"over":[21,47],"using":[24],"appropriate":[25],"lower":[26],"sets.":[27],"A":[28,64],"quantale":[30],"is":[31,73,90],"posemigroup":[33],"in":[34,54],"which":[35],"certain":[36],"admissible":[37,52],"subsets":[38,53],"are":[39,50,99],"required":[40],"to":[41,86,102,122],"joins,":[43],"and":[44,115],"multiplication":[45],"distributes":[46],"these.":[48],"Sometimes":[49],"question":[55],"specified":[56],"by":[57,125],"means":[58],"of":[59,67,70,78,80,95,106,111,129],"so-called":[61],"selection":[62],"function.":[63],"distinguishing":[65],"feature":[66],"study":[69],"small":[76],"collection":[77],"axioms":[79,98],"an":[81],"elementary":[82],"nature":[83],"allows":[84],"one":[85],"do":[87],"much":[88],"traditional":[91],"at":[92],"level":[94],"The":[97],"sufficiently":[100],"general":[101],"include":[103],"as":[104],"examples":[105],"classes":[110],"posemigroups,":[112],"\u03c3-quantales,":[113],"prequantales":[114],"Furthermore,":[117],"discuss":[119],"another":[120],"obtained":[124],"injective":[127],"hull":[128],"posemigroup.":[131]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4294550794","counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2024-10-28T05:49:04.627427","created_date":"2022-09-04"}
