{"id":"https://openalex.org/W3168620112","doi":"https://doi.org/10.14736/kyb-2021-2-0332","title":"Some notes on the category of fuzzy implications on bounded lattices","display_name":"Some notes on the category of fuzzy implications on bounded lattices","publication_year":2021,"publication_date":"2021-05-29","ids":{"openalex":"https://openalex.org/W3168620112","doi":"https://doi.org/10.14736/kyb-2021-2-0332","mag":"3168620112"},"language":"en","primary_location":{"id":"doi:10.14736/kyb-2021-2-0332","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2021-2-0332","pdf_url":"https://www.kybernetika.cz/content/2021/2/332/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.kybernetika.cz/content/2021/2/332/paper.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016802486","display_name":"A. Yousefi","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Amin Yousefi","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079392993","display_name":"M. Mashinchi","orcid":"https://orcid.org/0000-0001-5848-8027"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mashaallah Mashinchi","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5058341815","display_name":"Radko Mesiar","orcid":"https://orcid.org/0000-0001-6503-949X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Radko Mesiar","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5016802486"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1058459,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"332","last_page":"351"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.8790000081062317,"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":0.8790000081062317,"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":0.8537999987602234,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.7785999774932861,"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/bounded-function","display_name":"Bounded function","score":0.7447770833969116},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5326093435287476},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5135819911956787},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3884585499763489},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35629987716674805},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3365103602409363},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32846465706825256},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32597655057907104},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24976733326911926},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08040773868560791}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7447770833969116},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5326093435287476},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5135819911956787},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3884585499763489},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35629987716674805},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3365103602409363},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32846465706825256},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32597655057907104},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24976733326911926},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08040773868560791}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.14736/kyb-2021-2-0332","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2021-2-0332","pdf_url":"https://www.kybernetika.cz/content/2021/2/332/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/149042","is_oa":true,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/149042","pdf_url":"http://dml.cz/bitstream/handle/10338.dmlcz/149042/Kybernetika_57-2021-2_8.pdf","source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text:not_categorized"}],"best_oa_location":{"id":"doi:10.14736/kyb-2021-2-0332","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2021-2-0332","pdf_url":"https://www.kybernetika.cz/content/2021/2/332/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3168620112.pdf","grobid_xml":"https://content.openalex.org/works/W3168620112.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W27958197","https://openalex.org/W101961550","https://openalex.org/W134540377","https://openalex.org/W656973277","https://openalex.org/W1553483815","https://openalex.org/W1980080444","https://openalex.org/W2022218982","https://openalex.org/W2054483756","https://openalex.org/W2062706881","https://openalex.org/W2093397547","https://openalex.org/W2467814573","https://openalex.org/W2503657481","https://openalex.org/W2572078071","https://openalex.org/W2762031400","https://openalex.org/W2762449738","https://openalex.org/W2797153726","https://openalex.org/W4289127527","https://openalex.org/W4300454881"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W4386900933","https://openalex.org/W4385301946","https://openalex.org/W4297797135","https://openalex.org/W3125672081","https://openalex.org/W1673581201","https://openalex.org/W2991991550","https://openalex.org/W64182352","https://openalex.org/W4289799755"],"abstract_inverted_index":{"In":[0],"this":[1,42,48],"paper,":[2],"we":[3],"introduce":[4],"the":[5,13,25,28,51],"product,":[6],"coproduct,":[7],"equalizer":[8],"and":[9,32,37],"coequalizer":[10],"notions":[11],"on":[12,18],"category":[14],"of":[15,27,47,57],"fuzzy":[16,60],"implications":[17,61],"a":[19,45],"bounded":[20],"lattice":[21],"that":[22],"results":[23],"in":[24,41],"existence":[26],"limit,":[29],"pullback,":[30],"colimit":[31],"pushout.":[33],"Also":[34],"isomorphism,":[35],"monic":[36],"epic":[38],"are":[39,62],"introduced":[40],"category.":[43],"Then":[44],"subcategory":[46],"category,":[49],"called":[50],"skeleton,":[52],"is":[53],"studied.":[54],"Where":[55],"none":[56],"any":[58],"two":[59],"-conjugate.":[63]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}