{"id":"https://openalex.org/W4405300685","doi":"https://doi.org/10.1093/logcom/exae078","title":"On <i>\u03b1</i>-state filters in state residuated lattices","display_name":"On <i>\u03b1</i>-state filters in state residuated lattices","publication_year":2024,"publication_date":"2024-12-12","ids":{"openalex":"https://openalex.org/W4405300685","doi":"https://doi.org/10.1093/logcom/exae078"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exae078","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exae078","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","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/A5076391332","display_name":"Supeng Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I51622183","display_name":"Shaanxi University of Science and Technology","ror":"https://ror.org/034t3zs45","country_code":"CN","type":"education","lineage":["https://openalex.org/I51622183"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Supeng Wu","raw_affiliation_strings":["School of Mathematics and Data Science , Shaanxi University of Science and Technology, Xi\u2019an 710021, P.R","School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xi'an 710021, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Data Science , Shaanxi University of Science and Technology, Xi\u2019an 710021, P.R","institution_ids":[]},{"raw_affiliation_string":"School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xi'an 710021, P.R. China","institution_ids":["https://openalex.org/I51622183"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078042468","display_name":"Xingliang Liang","orcid":"https://orcid.org/0000-0002-4517-8684"},"institutions":[{"id":"https://openalex.org/I51622183","display_name":"Shaanxi University of Science and Technology","ror":"https://ror.org/034t3zs45","country_code":"CN","type":"education","lineage":["https://openalex.org/I51622183"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xingliang Liang","raw_affiliation_strings":["School of Mathematics and Data Science , Shaanxi University of Science and Technology, Xi\u2019an 710021, P.R","School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xi'an 710021, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Data Science , Shaanxi University of Science and Technology, Xi\u2019an 710021, P.R","institution_ids":[]},{"raw_affiliation_string":"School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xi'an 710021, P.R. China","institution_ids":["https://openalex.org/I51622183"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059829889","display_name":"Yang Jiang","orcid":"https://orcid.org/0000-0002-2195-5776"},"institutions":[{"id":"https://openalex.org/I37802460","display_name":"Northwest University","ror":"https://ror.org/00z3td547","country_code":"CN","type":"education","lineage":["https://openalex.org/I37802460"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiang Yang","raw_affiliation_strings":["School of Mathematics , Northwest University, Xi\u2019an 710127, P.R","School of Mathematics, Northwest University, Xi'an 710127, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics , Northwest University, Xi\u2019an 710127, P.R","institution_ids":[]},{"raw_affiliation_string":"School of Mathematics, Northwest University, Xi'an 710127, P.R. China","institution_ids":["https://openalex.org/I37802460"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5076391332"],"corresponding_institution_ids":["https://openalex.org/I51622183"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27664248,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"4","first_page":null,"last_page":null},"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":0.9810000061988831,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9521999955177307,"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/residuated-lattice","display_name":"Residuated lattice","score":0.9158258438110352},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.705452024936676},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5416543483734131},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.47655847668647766},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.45258697867393494},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.4218202233314514},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4191031754016876},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.38158881664276123},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3651446998119354},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.28003358840942383},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13871774077415466},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13135990500450134},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07175299525260925},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06728985905647278},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.06277310848236084}],"concepts":[{"id":"https://openalex.org/C2781278839","wikidata":"https://www.wikidata.org/wiki/Q9462417","display_name":"Residuated lattice","level":3,"score":0.9158258438110352},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.705452024936676},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5416543483734131},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.47655847668647766},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.45258697867393494},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.4218202233314514},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4191031754016876},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.38158881664276123},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3651446998119354},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28003358840942383},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13871774077415466},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13135990500450134},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07175299525260925},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06728985905647278},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.06277310848236084},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/logcom/exae078","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exae078","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G63837213","display_name":null,"funder_award_id":"12401603","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7337574699","display_name":null,"funder_award_id":"12001345","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W649463137","https://openalex.org/W1819944522","https://openalex.org/W1964794617","https://openalex.org/W1971217457","https://openalex.org/W2003237057","https://openalex.org/W2003822008","https://openalex.org/W2026242842","https://openalex.org/W2028747652","https://openalex.org/W2036198799","https://openalex.org/W2066555648","https://openalex.org/W2069227111","https://openalex.org/W2077902054","https://openalex.org/W2082077150","https://openalex.org/W2097299615","https://openalex.org/W2112873942","https://openalex.org/W2115737676","https://openalex.org/W2127063498","https://openalex.org/W2208405424","https://openalex.org/W2342241957","https://openalex.org/W2531021504","https://openalex.org/W2735669534","https://openalex.org/W2799917954","https://openalex.org/W2905770795","https://openalex.org/W2922093179","https://openalex.org/W3008309913","https://openalex.org/W3177691375","https://openalex.org/W4210294256","https://openalex.org/W6679008801","https://openalex.org/W6757714310"],"related_works":["https://openalex.org/W2186053625","https://openalex.org/W2777780798","https://openalex.org/W2063151284","https://openalex.org/W1925182822","https://openalex.org/W2044174742","https://openalex.org/W2146908411","https://openalex.org/W2966036268","https://openalex.org/W48390750","https://openalex.org/W2052933125","https://openalex.org/W1968222062"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"purpose":[2],"of":[3,20,37,55,79,98],"this":[4],"paper":[5],"is":[6,29,32,60,90,93,108],"to":[7,121,142],"investigate":[8],"$\\alpha":[9,21,39,82,101],"$-state":[10,22,40,83,102],"filters":[11,23,41,84,103],"in":[12,24,42,85],"a":[13,25,43,48,86,109,124,127,138],"state":[14,26,44,57,69,87,139],"residuated":[15,27,45,58,70,88,140],"lattice.":[16],"First,":[17],"the":[18,35,53,73,77,96,105,119],"notion":[19],"lattice":[28,46,89,141],"introduced.":[30],"It":[31,92],"proved":[33],"that":[34,95],"set":[36,78,97],"all":[38,80,99],"forms":[47],"complete":[49],"Heyting":[50],"algebra.":[51],"Furthermore,":[52],"concept":[54],"quasicomplemented":[56,68],"lattices":[59],"presented.":[61],"Some":[62],"equivalent":[63],"conditions":[64,115],"are":[65,116,135],"derived":[66],"for":[67,118,137],"lattices.":[71],"Finally,":[72],"hull-kernel":[74,106],"topology":[75,107],"on":[76],"prime":[81,100],"investigated.":[91],"demonstrated":[94],"under":[104],"spectral":[110],"space":[111,120],"and":[112],"some":[113,132],"certain":[114],"given":[117],"be":[122,143],"either":[123],"$T_{1}$-space":[125],"or":[126],"Hausdorff":[128],"space.":[129],"In":[130],"addition,":[131],"topological":[133],"characterizations":[134],"summarized":[136],"quasicomplemented.":[144]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
