{"id":"https://openalex.org/W2056801303","doi":"https://doi.org/10.1109/icmlc.2010.5580538","title":"Fuzzy approximate solution of general fully fuzzy linear systems based on GLR-fuzzy numbers","display_name":"Fuzzy approximate solution of general fully fuzzy linear systems based on GLR-fuzzy numbers","publication_year":2010,"publication_date":"2010-07-01","ids":{"openalex":"https://openalex.org/W2056801303","doi":"https://doi.org/10.1109/icmlc.2010.5580538","mag":"2056801303"},"language":"en","primary_location":{"id":"doi:10.1109/icmlc.2010.5580538","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmlc.2010.5580538","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 International Conference on Machine Learning and Cybernetics","raw_type":"proceedings-article"},"type":"conference-paper","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/A5057608131","display_name":"Zengtai Gong","orcid":"https://orcid.org/0000-0001-5878-1506"},"institutions":[{"id":"https://openalex.org/I68986083","display_name":"Northwest Normal University","ror":"https://ror.org/00gx3j908","country_code":"CN","type":"education","lineage":["https://openalex.org/I68986083"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zeng-Tai Gong","raw_affiliation_strings":["College of Mathematics and Information Science, Northwest Normal University, Lanzhou, Gansu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Northwest Normal University, Lanzhou, Gansu, China","institution_ids":["https://openalex.org/I68986083"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100398795","display_name":"Kun Liu","orcid":"https://orcid.org/0000-0003-0542-1739"},"institutions":[{"id":"https://openalex.org/I3132882781","display_name":"Longdong University","ror":"https://ror.org/03wcn4h12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3132882781"]},{"id":"https://openalex.org/I68986083","display_name":"Northwest Normal University","ror":"https://ror.org/00gx3j908","country_code":"CN","type":"education","lineage":["https://openalex.org/I68986083"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kun Liu","raw_affiliation_strings":["College of Mathematics and Information Science, Northwest Normal University, Lanzhou, Gansu, China","Department of Mathematics, LongDong University, Qingyang, Gansu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Northwest Normal University, Lanzhou, Gansu, China","institution_ids":["https://openalex.org/I68986083"]},{"raw_affiliation_string":"Department of Mathematics, LongDong University, Qingyang, Gansu, China","institution_ids":["https://openalex.org/I3132882781"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.20842105,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"567","last_page":"570"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9979000091552734,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9907000064849854,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.7217271327972412},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6718499660491943},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6326539516448975},{"id":"https://openalex.org/keywords/fuzzy-associative-matrix","display_name":"Fuzzy associative matrix","score":0.5775498151779175},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.5500893592834473},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5315109491348267},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4860439896583557},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.46575361490249634},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43977296352386475},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.43893784284591675},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.43842992186546326},{"id":"https://openalex.org/keywords/neuro-fuzzy","display_name":"Neuro-fuzzy","score":0.435837984085083},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.411320298910141},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4074367880821228},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23094233870506287},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20948010683059692}],"concepts":[{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.7217271327972412},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6718499660491943},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6326539516448975},{"id":"https://openalex.org/C144170203","wikidata":"https://www.wikidata.org/wiki/Q5511099","display_name":"Fuzzy associative matrix","level":5,"score":0.5775498151779175},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.5500893592834473},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5315109491348267},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4860439896583557},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.46575361490249634},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43977296352386475},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.43893784284591675},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.43842992186546326},{"id":"https://openalex.org/C29470771","wikidata":"https://www.wikidata.org/wiki/Q4165150","display_name":"Neuro-fuzzy","level":4,"score":0.435837984085083},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.411320298910141},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4074367880821228},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23094233870506287},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20948010683059692}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icmlc.2010.5580538","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmlc.2010.5580538","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 International Conference on Machine Learning and Cybernetics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1572450310","https://openalex.org/W1968027854","https://openalex.org/W1994564996","https://openalex.org/W2008499530","https://openalex.org/W2025211391","https://openalex.org/W2036102558","https://openalex.org/W2083301174","https://openalex.org/W2085557913","https://openalex.org/W2088808959","https://openalex.org/W2094537731","https://openalex.org/W2115135862","https://openalex.org/W2170112393","https://openalex.org/W2330022088","https://openalex.org/W4236497070","https://openalex.org/W4296927103"],"related_works":["https://openalex.org/W4242970302","https://openalex.org/W2571050636","https://openalex.org/W1952396636","https://openalex.org/W2253053392","https://openalex.org/W2037428035","https://openalex.org/W2184441312","https://openalex.org/W1542808721","https://openalex.org/W2331106272","https://openalex.org/W2325893522","https://openalex.org/W4386694875"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,29,36],"general":[4,48],"m\u00d7n":[5],"fully":[6],"fuzzy":[7,32,39,46],"linear":[8],"systems":[9],"\u00c3":[10],"\u2297":[11],"x\u0303":[12],"=":[13],"b\u0303":[14],"is":[15,42,52,63],"studied":[16],"by":[17],"using":[18],"the":[19,26,45,56,67],"GLR-fuzzy":[20],"numbers.":[21],"A":[22],"sufficient":[23],"condition":[24],"for":[25],"solution":[27,34,41,49],"being":[28],"non-negative":[30],"(non-positive)":[31],"approximate":[33,40,47],"or":[35],"strong":[37],"(weak)":[38],"provided.":[43],"Moreover,":[44],"to":[50,65],"FFLS(2)":[51],"obtained":[53],"based":[54],"on":[55],"generalized":[57],"inverses":[58],"of":[59],"matrix.":[60],"An":[61],"example":[62],"presented":[64],"illustrate":[66],"proposed":[68],"results.":[69]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}