{"id":"https://openalex.org/W4283811977","doi":"https://doi.org/10.1007/s00500-022-07294-3","title":"Lattice-theoretic three-way formal contexts and their concepts","display_name":"Lattice-theoretic three-way formal contexts and their concepts","publication_year":2022,"publication_date":"2022-07-05","ids":{"openalex":"https://openalex.org/W4283811977","doi":"https://doi.org/10.1007/s00500-022-07294-3"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-022-07294-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-022-07294-3","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","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/A5075875059","display_name":"Ning-Hua Gao","orcid":null},"institutions":[{"id":"https://openalex.org/I168879160","display_name":"Zhejiang University of Science and Technology","ror":"https://ror.org/05mx0wr29","country_code":"CN","type":"education","lineage":["https://openalex.org/I168879160"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ninghua Gao","raw_affiliation_strings":["School of Science, Zhejiang University of Science and Technology, Hangzhou, 310023, Zhejiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Zhejiang University of Science and Technology, Hangzhou, 310023, Zhejiang, China","institution_ids":["https://openalex.org/I168879160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101184662","display_name":"Zixuan Cao","orcid":null},"institutions":[{"id":"https://openalex.org/I168879160","display_name":"Zhejiang University of Science and Technology","ror":"https://ror.org/05mx0wr29","country_code":"CN","type":"education","lineage":["https://openalex.org/I168879160"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zixuan Cao","raw_affiliation_strings":["School of Science, Zhejiang University of Science and Technology, Hangzhou, 310023, Zhejiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Zhejiang University of Science and Technology, Hangzhou, 310023, Zhejiang, China","institution_ids":["https://openalex.org/I168879160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100611700","display_name":"Qingguo Li","orcid":"https://orcid.org/0000-0002-4314-7489"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qingguo Li","raw_affiliation_strings":["College of Mathematics and Econometrics, Hunan University, Changsha, 410082, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Econometrics, Hunan University, Changsha, 410082, Hunan, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083158084","display_name":"Wei Yao","orcid":"https://orcid.org/0000-0003-3320-7609"},"institutions":[{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Yao","raw_affiliation_strings":["School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044, Jiangsu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044, Jiangsu, China","institution_ids":["https://openalex.org/I200845125"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101925259","display_name":"Haojie Jiang","orcid":"https://orcid.org/0009-0000-8339-0099"},"institutions":[{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]},{"id":"https://openalex.org/I4210163926","display_name":"Zhejiang Medicine (China)","ror":"https://ror.org/05h86nk22","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210163926"]},{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haojie Jiang","raw_affiliation_strings":["College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou, 310014, Zhejiang, China","State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, Hunan, China","XGM Corporation Limited, Sanmen, 317108, Zhejiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou, 310014, Zhejiang, China","institution_ids":["https://openalex.org/I55712492"]},{"raw_affiliation_string":"State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, Hunan, China","institution_ids":["https://openalex.org/I16609230"]},{"raw_affiliation_string":"XGM Corporation Limited, Sanmen, 317108, Zhejiang, China","institution_ids":["https://openalex.org/I4210163926"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100611700","https://openalex.org/A5101925259"],"corresponding_institution_ids":["https://openalex.org/I16609230","https://openalex.org/I4210163926","https://openalex.org/I55712492"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.5747,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.68584019,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"26","issue":"18","first_page":"8971","last_page":"8985"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy 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/T11063","display_name":"Rough Sets and Fuzzy 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/T11727","display_name":"Advanced Algebra and Logic","score":0.9919999837875366,"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/T11106","display_name":"Data Management and Algorithms","score":0.9825000166893005,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/lattice-miner","display_name":"Lattice Miner","score":0.9056763052940369},{"id":"https://openalex.org/keywords/formal-concept-analysis","display_name":"Formal concept analysis","score":0.7605042457580566},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6555925011634827},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5633319616317749},{"id":"https://openalex.org/keywords/map-of-lattices","display_name":"Map of lattices","score":0.5615285038948059},{"id":"https://openalex.org/keywords/complete-lattice","display_name":"Complete lattice","score":0.5061430335044861},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.4555233418941498},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3794172406196594},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37523820996284485},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3129566013813019},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17153963446617126},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15535321831703186},{"id":"https://openalex.org/keywords/reciprocal-lattice","display_name":"Reciprocal lattice","score":0.10730192065238953},{"id":"https://openalex.org/keywords/universality","display_name":"Universality (dynamical systems)","score":0.09475314617156982}],"concepts":[{"id":"https://openalex.org/C203136989","wikidata":"https://www.wikidata.org/wiki/Q6497099","display_name":"Lattice Miner","level":3,"score":0.9056763052940369},{"id":"https://openalex.org/C76363472","wikidata":"https://www.wikidata.org/wiki/Q1437394","display_name":"Formal concept analysis","level":2,"score":0.7605042457580566},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6555925011634827},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5633319616317749},{"id":"https://openalex.org/C128379363","wikidata":"https://www.wikidata.org/wiki/Q6753757","display_name":"Map of lattices","level":4,"score":0.5615285038948059},{"id":"https://openalex.org/C201640847","wikidata":"https://www.wikidata.org/wiki/Q2362924","display_name":"Complete lattice","level":3,"score":0.5061430335044861},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.4555233418941498},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3794172406196594},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37523820996284485},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3129566013813019},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17153963446617126},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15535321831703186},{"id":"https://openalex.org/C89957378","wikidata":"https://www.wikidata.org/wiki/Q164129","display_name":"Reciprocal lattice","level":3,"score":0.10730192065238953},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.09475314617156982},{"id":"https://openalex.org/C207114421","wikidata":"https://www.wikidata.org/wiki/Q133900","display_name":"Diffraction","level":2,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-022-07294-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-022-07294-3","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7099999785423279,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G2703815543","display_name":"\u8fde\u7eed\u504f\u5e8f\u96c6\u7684\u62d3\u6251\u6027\u8d28\u3001\u7b1b\u5361\u5c14\u95ed\u6027\u53ca\u51fd\u6570\u7a7a\u95f4\u7684\u7814\u7a76","funder_award_id":"11771134","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7206964338","display_name":null,"funder_award_id":"11901524","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8042267589","display_name":"\u57fa\u4e8e\u975e\u5e42\u7b49Quantale\u7684\u6a21\u7ccaDomain\u7684\u7814\u7a76","funder_award_id":"11871189","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":26,"referenced_works":["https://openalex.org/W130507663","https://openalex.org/W1505150927","https://openalex.org/W1582269801","https://openalex.org/W1994773895","https://openalex.org/W1999950072","https://openalex.org/W2055334450","https://openalex.org/W2086037765","https://openalex.org/W2093397547","https://openalex.org/W2182056217","https://openalex.org/W2199918042","https://openalex.org/W2232374221","https://openalex.org/W2276886973","https://openalex.org/W2428242782","https://openalex.org/W2547386497","https://openalex.org/W2794165897","https://openalex.org/W2810138995","https://openalex.org/W2887694635","https://openalex.org/W2969853559","https://openalex.org/W3011843126","https://openalex.org/W3013584670","https://openalex.org/W3134990095","https://openalex.org/W3182562120","https://openalex.org/W4213427446","https://openalex.org/W4234423219","https://openalex.org/W4243356233","https://openalex.org/W4255318870"],"related_works":["https://openalex.org/W2352723635","https://openalex.org/W2794165897","https://openalex.org/W2232374221","https://openalex.org/W1985048934","https://openalex.org/W2359958513","https://openalex.org/W2124243189","https://openalex.org/W2539460660","https://openalex.org/W4283811977","https://openalex.org/W2145387325","https://openalex.org/W2381262881"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}