{"id":"https://openalex.org/W2969795476","doi":"https://doi.org/10.1155/2019/4960638","title":"Maximin Optimization Problem Subject to Min\u2010Product Fuzzy Relation Inequalities with Application in Supply and Demand Scheme","display_name":"Maximin Optimization Problem Subject to Min\u2010Product Fuzzy Relation Inequalities with Application in Supply and Demand Scheme","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2969795476","doi":"https://doi.org/10.1155/2019/4960638","mag":"2969795476"},"language":"en","primary_location":{"id":"doi:10.1155/2019/4960638","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/4960638","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/4960638.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"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":"Complexity","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/complexity/2019/4960638.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031613239","display_name":"Haitao Lin","orcid":"https://orcid.org/0000-0002-6379-6590"},"institutions":[{"id":"https://openalex.org/I4210165736","display_name":"Hanshan Normal University","ror":"https://ror.org/05tqaz865","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210165736"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hai-Tao Lin","raw_affiliation_strings":["School of Mathematics and Statistics, Hanshan Normal University, Chaozhou, Guangdong 521041, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hanshan Normal University, Chaozhou, Guangdong 521041, China","institution_ids":["https://openalex.org/I4210165736"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101869246","display_name":"Xiaobin Yang","orcid":"https://orcid.org/0000-0002-1182-609X"},"institutions":[{"id":"https://openalex.org/I4210165736","display_name":"Hanshan Normal University","ror":"https://ror.org/05tqaz865","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210165736"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Bin Yang","raw_affiliation_strings":["Asset Management Office, Hanshan Normal University, Chaozhou, Guangdong 521041, China"],"affiliations":[{"raw_affiliation_string":"Asset Management Office, Hanshan Normal University, Chaozhou, Guangdong 521041, China","institution_ids":["https://openalex.org/I4210165736"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021956553","display_name":"Hui-Mei Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I4210165736","display_name":"Hanshan Normal University","ror":"https://ror.org/05tqaz865","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210165736"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui-Mei Guo","raw_affiliation_strings":["School of Mathematics and Statistics, Hanshan Normal University, Chaozhou, Guangdong 521041, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hanshan Normal University, Chaozhou, Guangdong 521041, China","institution_ids":["https://openalex.org/I4210165736"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060101249","display_name":"Cai-Fen Zheng","orcid":null},"institutions":[{"id":"https://openalex.org/I4210165736","display_name":"Hanshan Normal University","ror":"https://ror.org/05tqaz865","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210165736"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cai-Fen Zheng","raw_affiliation_strings":["School of Mathematics and Statistics, Hanshan Normal University, Chaozhou, Guangdong 521041, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hanshan Normal University, Chaozhou, Guangdong 521041, China","institution_ids":["https://openalex.org/I4210165736"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060108348","display_name":"Xiaopeng Yang","orcid":"https://orcid.org/0000-0002-7516-5323"},"institutions":[{"id":"https://openalex.org/I4210165736","display_name":"Hanshan Normal University","ror":"https://ror.org/05tqaz865","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210165736"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiao-Peng Yang","raw_affiliation_strings":["School of Mathematics and Statistics, Hanshan Normal University, Chaozhou, Guangdong 521041, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hanshan Normal University, Chaozhou, Guangdong 521041, China","institution_ids":["https://openalex.org/I4210165736"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5060108348"],"corresponding_institution_ids":["https://openalex.org/I4210165736"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":1.4435,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.83839093,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2019","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9901000261306763,"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"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9901000261306763,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9768000245094299,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.933899998664856,"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/scheme","display_name":"Scheme (mathematics)","score":0.6927010416984558},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.689189612865448},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6209646463394165},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6046768426895142},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5914430618286133},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.550300121307373},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4986534118652344},{"id":"https://openalex.org/keywords/supply-and-demand","display_name":"Supply and demand","score":0.4440954923629761},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.4263848066329956},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3860839903354645},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.20151567459106445},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.13714930415153503},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10683035850524902},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.0832802951335907}],"concepts":[{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6927010416984558},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.689189612865448},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6209646463394165},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6046768426895142},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5914430618286133},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.550300121307373},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4986534118652344},{"id":"https://openalex.org/C120330832","wikidata":"https://www.wikidata.org/wiki/Q166656","display_name":"Supply and demand","level":2,"score":0.4440954923629761},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.4263848066329956},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3860839903354645},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.20151567459106445},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.13714930415153503},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10683035850524902},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0832802951335907},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2019/4960638","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/4960638","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/4960638.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"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":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:4960638","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2019/4960638.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:f29b36cc80094d8a97e382104db74093","is_oa":true,"landing_page_url":"https://doaj.org/article/f29b36cc80094d8a97e382104db74093","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2019 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2019/4960638","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/4960638","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/4960638.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"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":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5899999737739563,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[{"id":"https://openalex.org/G1477544716","display_name":null,"funder_award_id":"Guangdong","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2767729883","display_name":null,"funder_award_id":"QD20171001","funder_id":"https://openalex.org/F4320326686","funder_display_name":"Hanshan Normal University"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4464057615","display_name":null,"funder_award_id":"61877014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5273477850","display_name":null,"funder_award_id":"201702","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5658439741","display_name":null,"funder_award_id":"LQ201702","funder_id":"https://openalex.org/F4320326686","funder_display_name":"Hanshan Normal University"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","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"},{"id":"https://openalex.org/F4320326686","display_name":"Hanshan Normal University","ror":"https://ror.org/05tqaz865"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2969795476.pdf","grobid_xml":"https://content.openalex.org/works/W2969795476.grobid-xml"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W127405698","https://openalex.org/W294994052","https://openalex.org/W657218221","https://openalex.org/W903129789","https://openalex.org/W1857239398","https://openalex.org/W1967201317","https://openalex.org/W1967583474","https://openalex.org/W1970676534","https://openalex.org/W1983256028","https://openalex.org/W1992081763","https://openalex.org/W1993453984","https://openalex.org/W1994957463","https://openalex.org/W1996940875","https://openalex.org/W1997100226","https://openalex.org/W2012201562","https://openalex.org/W2018303244","https://openalex.org/W2030273176","https://openalex.org/W2037894614","https://openalex.org/W2038040867","https://openalex.org/W2039018525","https://openalex.org/W2043624980","https://openalex.org/W2044684553","https://openalex.org/W2045992762","https://openalex.org/W2049053995","https://openalex.org/W2050942211","https://openalex.org/W2052365106","https://openalex.org/W2055589677","https://openalex.org/W2061590216","https://openalex.org/W2061821032","https://openalex.org/W2066323671","https://openalex.org/W2074507114","https://openalex.org/W2078306763","https://openalex.org/W2082911118","https://openalex.org/W2116657119","https://openalex.org/W2131086374","https://openalex.org/W2147015530","https://openalex.org/W2149872567","https://openalex.org/W2159441390","https://openalex.org/W2177915164","https://openalex.org/W2498120953","https://openalex.org/W2505517928","https://openalex.org/W2604343569","https://openalex.org/W2742687438","https://openalex.org/W2767415626","https://openalex.org/W2794180599","https://openalex.org/W2801926974","https://openalex.org/W2899164295","https://openalex.org/W2940262220","https://openalex.org/W2944537592","https://openalex.org/W4205471131","https://openalex.org/W4237603007"],"related_works":["https://openalex.org/W2016058626","https://openalex.org/W2474724840","https://openalex.org/W2963760573","https://openalex.org/W185788778","https://openalex.org/W2895916002","https://openalex.org/W1814049089","https://openalex.org/W1977348009","https://openalex.org/W2369683208","https://openalex.org/W2084836983","https://openalex.org/W1530911128"],"abstract_inverted_index":{"In":[0],"a":[1,80,117],"supply":[2,11,29,74],"chain":[3,75],"system,":[4,76],"the":[5,9,16,20,23,26,48,51,55,62,73,86,95,100,109,132,136,139],"prices":[6,134],"with":[7,43],"which":[8,130],"suppliers":[10],"its":[12],"local":[13],"commodity":[14,137],"to":[15,47,85,93],"retailers":[17,24],"should":[18],"satisfy":[19],"requirements":[21,35],"of":[22,64,111,135],"and":[25,30,54,103],"consumers.":[27],"The":[28,121],"demand":[31],"scheme":[32],"satisfying":[33],"these":[34],"is":[36,91],"reduced":[37],"into":[38],"fuzzy":[39],"relation":[40],"inequalities":[41],"(FRIs)":[42],"min\u2010product":[44,52,66,87],"composition.":[45],"Due":[46],"difference":[49],"between":[50],"composition":[53],"classical":[56],"max\u2010t\u2010norm":[57],"one,":[58],"we":[59,77,115],"first":[60],"study":[61],"resolution":[63],"such":[65],"FRI":[67],"system.":[68],"For":[69],"optimization":[70],"management":[71],"in":[72],"further":[78],"investigate":[79],"maximin":[81],"programming":[82],"problem":[83],"subject":[84],"FRIs.":[88],"An":[89],"algorithm":[90],"proposed":[92,113],"obtain":[94],"optimal":[96,123,127],"solution":[97,124],"based":[98],"on":[99],"quasi\u2010maximal":[101],"matrix":[102],"corresponding":[104],"index":[105],"set.":[106],"To":[107],"illustrate":[108],"efficiency":[110],"our":[112],"algorithm,":[114],"provide":[116],"simple":[118],"numerical":[119],"example.":[120],"obtained":[122],"reflects":[125],"an":[126],"pricing":[128],"scheme,":[129],"maximizes":[131],"minimum":[133],"from":[138],"suppliers.":[140]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
