{"id":"https://openalex.org/W2083325455","doi":"https://doi.org/10.1016/j.asoc.2015.02.020","title":"Matrix elementary transformations in solving systems of fuzzy relation equations","display_name":"Matrix elementary transformations in solving systems of fuzzy relation equations","publication_year":2015,"publication_date":"2015-03-02","ids":{"openalex":"https://openalex.org/W2083325455","doi":"https://doi.org/10.1016/j.asoc.2015.02.020","mag":"2083325455"},"language":"en","primary_location":{"id":"doi:10.1016/j.asoc.2015.02.020","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.asoc.2015.02.020","pdf_url":null,"source":{"id":"https://openalex.org/S140556538","display_name":"Applied Soft Computing","issn_l":"1568-4946","issn":["1568-4946","1872-9681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied 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/A5102137638","display_name":"Xiao-bing Qu","orcid":null},"institutions":[{"id":"https://openalex.org/I2802584641","display_name":"Leshan Normal University","ror":"https://ror.org/036cvz290","country_code":"CN","type":"education","lineage":["https://openalex.org/I2802584641"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiao-bing Qu","raw_affiliation_strings":["College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan 614004, People's Republic of China","College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan 614004, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan 614004, People's Republic of China","institution_ids":["https://openalex.org/I2802584641"]},{"raw_affiliation_string":"College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan 614004, People\u2019s Republic of China","institution_ids":["https://openalex.org/I2802584641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038912283","display_name":"Feng Sun","orcid":"https://orcid.org/0000-0002-7178-3992"},"institutions":[{"id":"https://openalex.org/I2802584641","display_name":"Leshan Normal University","ror":"https://ror.org/036cvz290","country_code":"CN","type":"education","lineage":["https://openalex.org/I2802584641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Sun","raw_affiliation_strings":["College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan 614004, People's Republic of China","College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan 614004, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan 614004, People's Republic of China","institution_ids":["https://openalex.org/I2802584641"]},{"raw_affiliation_string":"College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan 614004, People\u2019s Republic of China","institution_ids":["https://openalex.org/I2802584641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050040833","display_name":"Tian-fei Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I2802584641","display_name":"Leshan Normal University","ror":"https://ror.org/036cvz290","country_code":"CN","type":"education","lineage":["https://openalex.org/I2802584641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tian-fei Wang","raw_affiliation_strings":["College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan 614004, People's Republic of China","College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan 614004, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan 614004, People's Republic of China","institution_ids":["https://openalex.org/I2802584641"]},{"raw_affiliation_string":"College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan 614004, People\u2019s Republic of China","institution_ids":["https://openalex.org/I2802584641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102137638"],"corresponding_institution_ids":["https://openalex.org/I2802584641"],"apc_list":{"value":3350,"currency":"USD","value_usd":3350},"apc_paid":null,"fwci":1.3096,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.85996102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"31","issue":null,"first_page":"25","last_page":"29"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.998199999332428,"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":0.998199999332428,"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/T11106","display_name":"Data Management and Algorithms","score":0.9860000014305115,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9836000204086304,"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/relation","display_name":"Relation (database)","score":0.7138946056365967},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6365296840667725},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5733952522277832},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5484070777893066},{"id":"https://openalex.org/keywords/system-of-linear-equations","display_name":"System of linear equations","score":0.5378232598304749},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5306797027587891},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.5150249004364014},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49590858817100525},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4604222774505615},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.45458707213401794},{"id":"https://openalex.org/keywords/transformation-matrix","display_name":"Transformation matrix","score":0.45146915316581726},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3066389858722687},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.22453781962394714},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19143128395080566},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19048291444778442},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08863496780395508}],"concepts":[{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.7138946056365967},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6365296840667725},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5733952522277832},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5484070777893066},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.5378232598304749},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5306797027587891},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.5150249004364014},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49590858817100525},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4604222774505615},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.45458707213401794},{"id":"https://openalex.org/C165443888","wikidata":"https://www.wikidata.org/wiki/Q1482183","display_name":"Transformation matrix","level":3,"score":0.45146915316581726},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3066389858722687},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.22453781962394714},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19143128395080566},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19048291444778442},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08863496780395508},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.asoc.2015.02.020","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.asoc.2015.02.020","pdf_url":null,"source":{"id":"https://openalex.org/S140556538","display_name":"Applied Soft Computing","issn_l":"1568-4946","issn":["1568-4946","1872-9681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6750051793","display_name":null,"funder_award_id":"11171242","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8921667426","display_name":null,"funder_award_id":"2011JY0133","funder_id":"https://openalex.org/F4320334983","funder_display_name":"Basic Research Programs of Sichuan Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334983","display_name":"Basic Research Programs of Sichuan Province","ror":"https://ror.org/027s68j25"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W127405698","https://openalex.org/W409549338","https://openalex.org/W657218221","https://openalex.org/W1509335165","https://openalex.org/W1714045541","https://openalex.org/W1898259180","https://openalex.org/W1967583474","https://openalex.org/W1968577268","https://openalex.org/W1984880906","https://openalex.org/W1997100226","https://openalex.org/W1997511955","https://openalex.org/W2001559881","https://openalex.org/W2005441399","https://openalex.org/W2013655648","https://openalex.org/W2025162503","https://openalex.org/W2029338278","https://openalex.org/W2038040867","https://openalex.org/W2047436080","https://openalex.org/W2051818124","https://openalex.org/W2053404063","https://openalex.org/W2061821032","https://openalex.org/W2064292138","https://openalex.org/W2082496853","https://openalex.org/W2083388788","https://openalex.org/W2083733135","https://openalex.org/W2083896909","https://openalex.org/W2085576222","https://openalex.org/W2086624093","https://openalex.org/W2095108035","https://openalex.org/W2319184994","https://openalex.org/W2359172908","https://openalex.org/W7010607058"],"related_works":["https://openalex.org/W2100079542","https://openalex.org/W1994539089","https://openalex.org/W1515939773","https://openalex.org/W2112938363","https://openalex.org/W1601028106","https://openalex.org/W2088138737","https://openalex.org/W2383398300","https://openalex.org/W2383813702","https://openalex.org/W2361864162","https://openalex.org/W2995990526"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}