{"id":"https://openalex.org/W2084899095","doi":"https://doi.org/10.1109/fskd.2012.6233791","title":"The symmetric analysis on the fuzzy lattice","display_name":"The symmetric analysis on the fuzzy lattice","publication_year":2012,"publication_date":"2012-05-01","ids":{"openalex":"https://openalex.org/W2084899095","doi":"https://doi.org/10.1109/fskd.2012.6233791","mag":"2084899095"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2012.6233791","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2012.6233791","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 9th International Conference on Fuzzy Systems and Knowledge Discovery","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/A5108047848","display_name":"Jia Wu","orcid":"https://orcid.org/0000-0001-9013-0818"},"institutions":[{"id":"https://openalex.org/I4210119942","display_name":"Wuhan Textile University","ror":"https://ror.org/02jgsf398","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210119942"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wu Jia","raw_affiliation_strings":["School of Mathematics and Computer, Wuhan Textile University, Wuhan, China","School of Mathematics and Computer, Wuhan Textile University, 430073, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer, Wuhan Textile University, Wuhan, China","institution_ids":["https://openalex.org/I4210119942"]},{"raw_affiliation_string":"School of Mathematics and Computer, Wuhan Textile University, 430073, China","institution_ids":["https://openalex.org/I4210119942"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108047848"],"corresponding_institution_ids":["https://openalex.org/I4210119942"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11746382,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"188","last_page":"190"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.8310999870300293,"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"}},"topics":[{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.8310999870300293,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.7734000086784363,"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":0.7680000066757202,"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/lattice","display_name":"Lattice (music)","score":0.6041523814201355},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5842841267585754},{"id":"https://openalex.org/keywords/distributive-lattice","display_name":"Distributive lattice","score":0.5391381978988647},{"id":"https://openalex.org/keywords/congruence-lattice-problem","display_name":"Congruence lattice problem","score":0.5222395658493042},{"id":"https://openalex.org/keywords/homomorphism","display_name":"Homomorphism","score":0.50788813829422},{"id":"https://openalex.org/keywords/complete-lattice","display_name":"Complete lattice","score":0.4971766769886017},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48688164353370667},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3739604353904724},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37175828218460083},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3506128787994385},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.34341853857040405},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1739313006401062},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16723084449768066},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.09262272715568542},{"id":"https://openalex.org/keywords/universality","display_name":"Universality (dynamical systems)","score":0.07833129167556763}],"concepts":[{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6041523814201355},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5842841267585754},{"id":"https://openalex.org/C192606457","wikidata":"https://www.wikidata.org/wiki/Q2363730","display_name":"Distributive lattice","level":3,"score":0.5391381978988647},{"id":"https://openalex.org/C84540187","wikidata":"https://www.wikidata.org/wiki/Q5160997","display_name":"Congruence lattice problem","level":4,"score":0.5222395658493042},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.50788813829422},{"id":"https://openalex.org/C201640847","wikidata":"https://www.wikidata.org/wiki/Q2362924","display_name":"Complete lattice","level":3,"score":0.4971766769886017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48688164353370667},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3739604353904724},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37175828218460083},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3506128787994385},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.34341853857040405},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1739313006401062},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16723084449768066},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.09262272715568542},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.07833129167556763},{"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:10.1109/fskd.2012.6233791","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2012.6233791","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 9th International Conference on Fuzzy Systems and Knowledge Discovery","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2116473340","https://openalex.org/W2348582784"],"related_works":["https://openalex.org/W2963428356","https://openalex.org/W2090511416","https://openalex.org/W4232534867","https://openalex.org/W1720430821","https://openalex.org/W1975062576","https://openalex.org/W2280679128","https://openalex.org/W2126448176","https://openalex.org/W2044636175","https://openalex.org/W1983739088","https://openalex.org/W2117921226"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,52],"make":[4],"researches":[5],"on":[6],"the":[7,19,34,45,48,65],"fuzzy":[8,30,49,57],"lattice":[9,26,31,58],"by":[10,64],"means":[11],"of":[12,44,47,56],"its":[13],"symmetric":[14],"characteristics.":[15],"We":[16,39],"show":[17],"that":[18,33],"necessary":[20],"condition":[21],"for":[22],"a":[23,29,54],"complete":[24,61],"distributive":[25,62],"to":[27],"become":[28],"is":[32,37],"complement":[35],"operation":[36],"self-dual;":[38],"also":[40],"present":[41],"some":[42],"properties":[43],"homomorphism":[46],"lattice.":[50],"Moreover,":[51],"construct":[53],"class":[55],"with":[59],"two":[60],"lattices":[63],"minimal":[66],"family":[67],"theorem.":[68]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}