{"id":"https://openalex.org/W2055761126","doi":"https://doi.org/10.1155/2014/809298","title":"Homomorphisms between Fuzzy Approximation Spaces Based on Residuated Lattice","display_name":"Homomorphisms between Fuzzy Approximation Spaces Based on Residuated Lattice","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2055761126","doi":"https://doi.org/10.1155/2014/809298","mag":"2055761126"},"language":"en","primary_location":{"id":"doi:10.1155/2014/809298","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/809298","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/809298.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/809298.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101986253","display_name":"Yuan Zhao","orcid":"https://orcid.org/0000-0002-1340-8174"},"institutions":[{"id":"https://openalex.org/I4210092058","display_name":"Zhengzhou Normal University","ror":"https://ror.org/00cbts945","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092058"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuan Zhao","raw_affiliation_strings":["College of Mathematics and Statistics, Zhengzhou Normal University, Zhengzhou 450052, China"],"raw_orcid":"https://orcid.org/0000-0002-1340-8174","affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Zhengzhou Normal University, Zhengzhou 450052, China","institution_ids":["https://openalex.org/I4210092058"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101986253"],"corresponding_institution_ids":["https://openalex.org/I4210092058"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.11570932,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9966999888420105,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9904999732971191,"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/homomorphism","display_name":"Homomorphism","score":0.8727949857711792},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7515140771865845},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.7308074235916138},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.5773289799690247},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5706577897071838},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5584784150123596},{"id":"https://openalex.org/keywords/residuated-lattice","display_name":"Residuated lattice","score":0.5498096346855164},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.49779319763183594},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.49384528398513794},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.48474738001823425},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.443517804145813},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4373578429222107},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33881914615631104},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15826144814491272},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11438554525375366},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.055418580770492554}],"concepts":[{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.8727949857711792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7515140771865845},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.7308074235916138},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.5773289799690247},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5706577897071838},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5584784150123596},{"id":"https://openalex.org/C2781278839","wikidata":"https://www.wikidata.org/wiki/Q9462417","display_name":"Residuated lattice","level":3,"score":0.5498096346855164},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.49779319763183594},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.49384528398513794},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.48474738001823425},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.443517804145813},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4373578429222107},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33881914615631104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15826144814491272},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11438554525375366},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.055418580770492554},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/809298","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/809298","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/809298.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305578","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305578","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:809298","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/809298.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:e5df040cf1a04ab39bd447e1638afffc","is_oa":true,"landing_page_url":"https://doaj.org/article/e5df040cf1a04ab39bd447e1638afffc","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/809298","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/809298","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/809298.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2055761126.pdf","grobid_xml":"https://content.openalex.org/works/W2055761126.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W91276324","https://openalex.org/W1557923305","https://openalex.org/W1591025330","https://openalex.org/W1964432381","https://openalex.org/W1964579282","https://openalex.org/W1971527916","https://openalex.org/W1988907639","https://openalex.org/W2000807790","https://openalex.org/W2002680690","https://openalex.org/W2010042328","https://openalex.org/W2010491975","https://openalex.org/W2014827534","https://openalex.org/W2019529630","https://openalex.org/W2021212827","https://openalex.org/W2027654459","https://openalex.org/W2035063729","https://openalex.org/W2047865342","https://openalex.org/W2054416947","https://openalex.org/W2054635689","https://openalex.org/W2062906401","https://openalex.org/W2078975878","https://openalex.org/W2093212021","https://openalex.org/W2102723818","https://openalex.org/W2103565147","https://openalex.org/W2137857737","https://openalex.org/W2158314512","https://openalex.org/W2912565176","https://openalex.org/W4255456244","https://openalex.org/W4255833381"],"related_works":["https://openalex.org/W4308159138","https://openalex.org/W2391321755","https://openalex.org/W1979798674","https://openalex.org/W3001044948","https://openalex.org/W2940532183","https://openalex.org/W2375240985","https://openalex.org/W1996159277","https://openalex.org/W2148887744","https://openalex.org/W2914663918","https://openalex.org/W2021212827"],"abstract_inverted_index":{"Two":[0],"kinds":[1],"of":[2,4,45],"homomorphisms":[3,16],"fuzzy":[5,27,39,47],"approximation":[6,28,48],"spaces":[7],"based":[8],"on":[9],"complete":[10],"residuated":[11],"lattice":[12],"are":[13,17],"proposed.":[14],"The":[15],"structure-preserving":[18],"maps":[19],"in":[20],"some":[21],"sense.":[22],"We":[23],"also":[24],"introduce":[25],"the":[26,35,42,46],"subspaces":[29],"and":[30],"investigate":[31],"their":[32],"correspondence":[33],"with":[34],"homomorphisms.":[36],"Given":[37],"a":[38],"equivalence":[40],"relation,":[41],"factor":[43],"set":[44],"space":[49],"is":[50],"discussed.":[51]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}