{"id":"https://openalex.org/W2170453789","doi":"https://doi.org/10.1109/icmtma.2009.568","title":"Application of Fuzzy Programming with Recourse in Material Requirement Planning Problem","display_name":"Application of Fuzzy Programming with Recourse in Material Requirement Planning Problem","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2170453789","doi":"https://doi.org/10.1109/icmtma.2009.568","mag":"2170453789"},"language":"en","primary_location":{"id":"doi:10.1109/icmtma.2009.568","doi":"https://doi.org/10.1109/icmtma.2009.568","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmtma.2009.568","pdf_url":null,"source":{"id":"https://openalex.org/S4363607932","display_name":"International Conference on Measuring Technology and Mechatronics Automation (ICMTMA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 International Conference on Measuring Technology and Mechatronics Automation","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"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/A5100440796","display_name":"Tao Li","orcid":"https://orcid.org/0000-0003-3776-8817","observed_orcids":["https://orcid.org/0000-0003-3776-8817"]},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]},{"id":"https://openalex.org/I4405281300","display_name":"Industrial and Commercial College, Hebei University","ror":"https://ror.org/045gatz82","country_code":"CN","type":"education","lineage":["https://openalex.org/I4405281300"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Li","raw_affiliation_strings":["Industrial and Commercial College, Hebei University, Baoding, Hebei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Industrial and Commercial College, Hebei University, Baoding, Hebei, China","institution_ids":["https://openalex.org/I43337087","https://openalex.org/I4405281300"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Peng Lin","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]},{"id":"https://openalex.org/I4405281300","display_name":"Industrial and Commercial College, Hebei University","ror":"https://ror.org/045gatz82","country_code":"CN","type":"education","lineage":["https://openalex.org/I4405281300"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peng Lin","raw_affiliation_strings":["Industrial and Commercial College, Hebei University, Baoding, Hebei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Industrial and Commercial College, Hebei University, Baoding, Hebei, China","institution_ids":["https://openalex.org/I43337087","https://openalex.org/I4405281300"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048398302","display_name":"Gaoji Sun","orcid":"https://orcid.org/0000-0003-2952-7378","observed_orcids":["https://orcid.org/0000-0003-2952-7378"]},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gao-Ji Sun","raw_affiliation_strings":["College of Mathematics and Computer Science, Hebei University, Baoding, Hebei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Hebei University, Baoding, Hebei, China","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073237695","display_name":"Haihong Liu","orcid":"https://orcid.org/0000-0002-2666-7933","observed_orcids":["https://orcid.org/0000-0002-2666-7933"]},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hai-Hong Liu","raw_affiliation_strings":["College of Mathematics and Computer Science, Hebei University, Baoding, Hebei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Hebei University, Baoding, Hebei, China","institution_ids":["https://openalex.org/I43337087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6417,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.78904992,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"546","last_page":"549"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9077000021934509,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9077000021934509,"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":0.0722000002861023,"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":0.003599999938160181,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/material-requirements-planning","display_name":"material requirements planning","score":0.9769999980926514},{"id":"https://openalex.org/keywords/credibility-theory","display_name":"credibility theory","score":0.9860000014305115},{"id":"https://openalex.org/keywords/fuzzy-variables","display_name":"fuzzy variables","score":0.7570000290870667},{"id":"https://openalex.org/keywords/market-demand-uncertainty","display_name":"market demand uncertainty","score":0.746999979019165},{"id":"https://openalex.org/keywords/infinite-dimensional-optimization","display_name":"infinite-dimensional optimization","score":0.9309999942779541},{"id":"https://openalex.org/keywords/0-1-mixed-integer-programming","display_name":"0-1 mixed integer programming","score":0.9380000233650208},{"id":"https://openalex.org/keywords/hybrid-method","display_name":"hybrid algorithm","score":0.7609999775886536},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"particle swarm optimization","score":0.8149999976158142},{"id":"https://openalex.org/keywords/approximation-algorithms","display_name":"approximation algorithms","score":0.6809999942779541}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7466179132461548},{"id":"https://openalex.org/C2777909354","wikidata":"https://www.wikidata.org/wiki/Q1386523","display_name":"Production planning","level":3,"score":0.5790747404098511},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5488184690475464},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.5123901963233948},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48050034046173096},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.47818925976753235},{"id":"https://openalex.org/C2778348673","wikidata":"https://www.wikidata.org/wiki/Q739302","display_name":"Production (economics)","level":2,"score":0.4666706621646881},{"id":"https://openalex.org/C44211194","wikidata":"https://www.wikidata.org/wiki/Q3526803","display_name":"Credibility theory","level":3,"score":0.458299458026886},{"id":"https://openalex.org/C201650216","wikidata":"https://www.wikidata.org/wiki/Q829492","display_name":"Procurement","level":2,"score":0.41737884283065796},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.410582035779953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32658660411834717},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08673739433288574},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icmtma.2009.568","doi":"https://doi.org/10.1109/icmtma.2009.568","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmtma.2009.568","pdf_url":null,"source":{"id":"https://openalex.org/S4363607932","display_name":"International Conference on Measuring Technology and Mechatronics Automation (ICMTMA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 International Conference on Measuring Technology and Mechatronics Automation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W608564597","https://openalex.org/W1505076599","https://openalex.org/W1974044692","https://openalex.org/W1979163195","https://openalex.org/W1994301874","https://openalex.org/W2003168466","https://openalex.org/W2012008892","https://openalex.org/W2019950953","https://openalex.org/W2034094790","https://openalex.org/W2042160169","https://openalex.org/W2111022135","https://openalex.org/W2123281118","https://openalex.org/W2128530362","https://openalex.org/W2132073472","https://openalex.org/W2152195021","https://openalex.org/W2235178083","https://openalex.org/W2402846924","https://openalex.org/W2912565176","https://openalex.org/W3143971390","https://openalex.org/W4214637188","https://openalex.org/W4230588984","https://openalex.org/W4285719527","https://openalex.org/W6658977038"],"related_works":["https://openalex.org/W2167679414","https://openalex.org/W1996251183","https://openalex.org/W2236228269","https://openalex.org/W111288663","https://openalex.org/W2042160169","https://openalex.org/W2105750161","https://openalex.org/W139018835","https://openalex.org/W1974044692","https://openalex.org/W4312425337","https://openalex.org/W2076435404"],"abstract_inverted_index":{"Material":[0],"requirement":[1],"planning":[2],"(MRP)":[3],"is":[4,77,104],"a":[5,45,131],"popular":[6],"approach":[7,137],"used":[8,118],"in":[9,18],"production":[10,22],"processes":[11],"for":[12,30],"planning.":[13],"Many":[14],"forms":[15],"of":[16,69,82,154],"uncertainly":[17],"practice":[19],"affect":[20],"the":[21,62,66,79,125,152,155],"process":[23],"and":[24,65,102,139],"different":[25],"approaches":[26],"have":[27],"been":[28],"presented":[29,126],"MRP":[31,38,89,127],"with":[32,49],"uncertainty.":[33],"In":[34],"order":[35],"to":[36,61,92,119,123,150],"model":[37,48],"problem":[39,90,96],"under":[40],"fuzzy":[41,46,57],"uncertainly,":[42],"we":[43,129],"present":[44,146],"programming":[47],"recourse":[50],"based":[51],"on":[52,71],"credibility":[53],"theory.":[54],"We":[55,144],"consider":[56],"variables":[58],"coefficients":[59],"related":[60],"market":[63],"demand":[64],"unit":[67],"price":[68],"material":[70,84],"spot":[72],"market.":[73],"The":[74],"objective":[75],"value":[76,81],"minimizing":[78],"expected":[80],"total":[83],"procurement":[85],"cost.":[86],"This":[87],"proposed":[88],"belongs":[91],"an":[93],"infinite-dimensional":[94],"optimization":[95,114,142],"that":[97],"cannot":[98,116],"be":[99,117],"solved":[100],"directly":[101],"it":[103],"0-1":[105],"mix":[106],"integer":[107],"program,":[108],"neither":[109],"linear":[110],"nor":[111],"convex,":[112],"traditional":[113],"algorithms":[115],"solve":[120,124],"it.":[121],"So":[122],"model,":[128],"design":[130],"hybrid":[132],"algorithm":[133],"which":[134],"combines":[135],"approximation":[136],"(AA)":[138],"particle":[140],"swarm":[141],"(PSO).":[143],"also":[145],"one":[147],"numerical":[148],"example":[149],"illustrate":[151],"effectiveness":[153],"designed":[156],"algorithm.":[157]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}