{"id":"https://openalex.org/W2125147066","doi":"https://doi.org/10.1109/fuzzy.2005.1452451","title":"Fuzzy Dependent-Chance Bilevel Programming with Application to Resource Allocation Problem","display_name":"Fuzzy Dependent-Chance Bilevel Programming with Application to Resource Allocation Problem","publication_year":2005,"publication_date":"2005-07-27","ids":{"openalex":"https://openalex.org/W2125147066","doi":"https://doi.org/10.1109/fuzzy.2005.1452451","mag":"2125147066"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2005.1452451","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2005.1452451","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 14th IEEE International Conference on Fuzzy Systems, 2005. FUZZ '05.","raw_type":"proceedings-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/A5008929688","display_name":"Jinwu Gao","orcid":"https://orcid.org/0000-0003-4806-927X"},"institutions":[{"id":"https://openalex.org/I78988378","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92","country_code":"CN","type":"education","lineage":["https://openalex.org/I78988378"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jinwu Gao","raw_affiliation_strings":["Uncertain Systems Laboratory Department of Mathematics, Renmin University of China, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Uncertain Systems Laboratory Department of Mathematics, Renmin University of China, Beijing, China","institution_ids":["https://openalex.org/I78988378"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108106959","display_name":"Baoding Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baoding Liu","raw_affiliation_strings":["Uncertainty Theory Laboratory Department of Mathematical Sciences, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Uncertainty Theory Laboratory Department of Mathematical Sciences, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008929688"],"corresponding_institution_ids":["https://openalex.org/I78988378"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.13100365,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"10","issue":null,"first_page":"541","last_page":"545"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9987999796867371,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.7364572286605835},{"id":"https://openalex.org/keywords/bilevel-optimization","display_name":"Bilevel optimization","score":0.6991108059883118},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6374430656433105},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5938585996627808},{"id":"https://openalex.org/keywords/resource-allocation","display_name":"Resource allocation","score":0.5770689845085144},{"id":"https://openalex.org/keywords/resource","display_name":"Resource (disambiguation)","score":0.4101225733757019},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28854793310165405},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.2189052700996399},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21454736590385437}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.7364572286605835},{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.6991108059883118},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6374430656433105},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5938585996627808},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.5770689845085144},{"id":"https://openalex.org/C206345919","wikidata":"https://www.wikidata.org/wiki/Q20380951","display_name":"Resource (disambiguation)","level":2,"score":0.4101225733757019},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28854793310165405},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2189052700996399},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21454736590385437},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2005.1452451","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2005.1452451","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 14th IEEE International Conference on Fuzzy Systems, 2005. FUZZ '05.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.5400000214576721,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1505119482","https://openalex.org/W1588628884","https://openalex.org/W1596644514","https://openalex.org/W1974379101","https://openalex.org/W1976693363","https://openalex.org/W1988982401","https://openalex.org/W1990676004","https://openalex.org/W1992677797","https://openalex.org/W2005480674","https://openalex.org/W2009567498","https://openalex.org/W2019950953","https://openalex.org/W2029002433","https://openalex.org/W2031264011","https://openalex.org/W2049230000","https://openalex.org/W2049930415","https://openalex.org/W2080474145","https://openalex.org/W2095798353","https://openalex.org/W2128530362","https://openalex.org/W2153624234","https://openalex.org/W2488959679","https://openalex.org/W3143971390","https://openalex.org/W4214637188","https://openalex.org/W4230588984","https://openalex.org/W6635298591","https://openalex.org/W6682726664"],"related_works":["https://openalex.org/W4318070895","https://openalex.org/W3157915181","https://openalex.org/W4401134013","https://openalex.org/W2896140431","https://openalex.org/W1536852012","https://openalex.org/W3015956618","https://openalex.org/W1994436307","https://openalex.org/W2920493340","https://openalex.org/W2071082401","https://openalex.org/W1989923016"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"fuzzy":[3,15,27,40],"dependent-chance":[4],"multilevel":[5],"programming":[6],"is":[7,42],"introduced":[8],"for":[9,23],"modelling":[10],"decentralized":[11,28],"decision-making":[12,29],"problem":[13,38],"in":[14],"environment.":[16],"The":[17],"crisp":[18],"equivalent":[19],"models":[20],"are":[21],"proposed":[22],"two":[24],"classes":[25],"of":[26],"problems.":[30],"As":[31],"an":[32],"application,":[33],"a":[34],"hierarchical":[35],"resource":[36],"allocation":[37],"with":[39],"parameters":[41],"discussed":[43]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}