{"id":"https://openalex.org/W2129539418","doi":"https://doi.org/10.1109/fskd.2011.6019493","title":"On the adjoint semigroup of a class of logical algebras","display_name":"On the adjoint semigroup of a class of logical algebras","publication_year":2011,"publication_date":"2011-07-01","ids":{"openalex":"https://openalex.org/W2129539418","doi":"https://doi.org/10.1109/fskd.2011.6019493","mag":"2129539418"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2011.6019493","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2011.6019493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","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/A5006235641","display_name":"Minxia Luo","orcid":"https://orcid.org/0000-0001-9400-3533"},"institutions":[{"id":"https://openalex.org/I55538621","display_name":"China Jiliang University","ror":"https://ror.org/05v1y0t93","country_code":"CN","type":"education","lineage":["https://openalex.org/I55538621"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Minxia Luo","raw_affiliation_strings":["School of Sciences, China Jiliang University, Hangzhou, China","School of Sciences, China Jiliang University, Hangzhou 310018, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Sciences, China Jiliang University, Hangzhou, China","institution_ids":["https://openalex.org/I55538621"]},{"raw_affiliation_string":"School of Sciences, China Jiliang University, Hangzhou 310018, China","institution_ids":["https://openalex.org/I55538621"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052349933","display_name":"Ni Sang","orcid":null},"institutions":[{"id":"https://openalex.org/I55538621","display_name":"China Jiliang University","ror":"https://ror.org/05v1y0t93","country_code":"CN","type":"education","lineage":["https://openalex.org/I55538621"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ni Sang","raw_affiliation_strings":["School of Sciences, China Jiliang University, Hangzhou, China","School of Sciences, China Jiliang University, Hangzhou 310018, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Sciences, China Jiliang University, Hangzhou, China","institution_ids":["https://openalex.org/I55538621"]},{"raw_affiliation_string":"School of Sciences, China Jiliang University, Hangzhou 310018, China","institution_ids":["https://openalex.org/I55538621"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I55538621"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16453148,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":null,"first_page":"212","last_page":"215"},"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":0.9988999962806702,"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":0.9959999918937683,"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/mathematics","display_name":"Mathematics","score":0.8011134266853333},{"id":"https://openalex.org/keywords/semilattice","display_name":"Semilattice","score":0.7725916504859924},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.6775814890861511},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5339535474777222},{"id":"https://openalex.org/keywords/distributive-lattice","display_name":"Distributive lattice","score":0.5304495692253113},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.5185397267341614},{"id":"https://openalex.org/keywords/bicyclic-semigroup","display_name":"Bicyclic semigroup","score":0.5098673105239868},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5061411261558533},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5028619170188904},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.46184200048446655},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33992648124694824},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09878668189048767}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8011134266853333},{"id":"https://openalex.org/C132170107","wikidata":"https://www.wikidata.org/wiki/Q834585","display_name":"Semilattice","level":3,"score":0.7725916504859924},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.6775814890861511},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5339535474777222},{"id":"https://openalex.org/C192606457","wikidata":"https://www.wikidata.org/wiki/Q2363730","display_name":"Distributive lattice","level":3,"score":0.5304495692253113},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.5185397267341614},{"id":"https://openalex.org/C40417594","wikidata":"https://www.wikidata.org/wiki/Q3022111","display_name":"Bicyclic semigroup","level":3,"score":0.5098673105239868},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5061411261558533},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5028619170188904},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46184200048446655},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33992648124694824},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09878668189048767},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2011.6019493","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2011.6019493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W256127759","https://openalex.org/W584422305","https://openalex.org/W1988838565","https://openalex.org/W2498912203","https://openalex.org/W6609732684","https://openalex.org/W6617293586"],"related_works":["https://openalex.org/W3042827207","https://openalex.org/W2381226129","https://openalex.org/W2019118526","https://openalex.org/W2048662755","https://openalex.org/W2351462424","https://openalex.org/W1999512029","https://openalex.org/W1874965007","https://openalex.org/W2143759784","https://openalex.org/W2696520184","https://openalex.org/W2378282460"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,14,29,48,58,63],"class":[4],"of":[5,13,28,41,57],"logical":[6],"algebras":[7],"were":[8],"studied.":[9],"Firstly,":[10],"the":[11,25,38,54],"characterization":[12],"general":[15,30],"implicative":[16,31,43,60],"BCK-algebra":[17,32,44,61],"is":[18,33,47,62],"given.":[19],"Following":[20],"this,":[21],"we":[22,52],"prove":[23,53],"that":[24],"adjoint":[26,39,55],"semigroup":[27,40,56],"an":[34,42],"upper":[35],"semilattice,":[36],"and":[37],"with":[45],"condition(s)":[46],"distributive":[49],"lattice.":[50],"Finally,":[51],"bounded":[59],"Boolean":[64],"algebra.":[65]},"counts_by_year":[],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}