{"id":"https://openalex.org/W1979713381","doi":"https://doi.org/10.1109/fskd.2010.5569746","title":"A solution method for random fuzzy multiobjective programming","display_name":"A solution method for random fuzzy multiobjective programming","publication_year":2010,"publication_date":"2010-08-01","ids":{"openalex":"https://openalex.org/W1979713381","doi":"https://doi.org/10.1109/fskd.2010.5569746","mag":"1979713381"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2010.5569746","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2010.5569746","pdf_url":null,"source":{"id":"https://openalex.org/S4363608217","display_name":"2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery","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/A5086229498","display_name":"Mingfa Zheng","orcid":"https://orcid.org/0000-0002-7309-5763"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Mingfa Zheng","raw_affiliation_strings":["College of Science, Air Force Engineering University, Xi'an, Shaanxi, China","College of Science, Air Force Engineering University, Xi'an, Shanxi, 710051, China"],"affiliations":[{"raw_affiliation_string":"College of Science, Air Force Engineering University, Xi'an, Shaanxi, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"College of Science, Air Force Engineering University, Xi'an, Shanxi, 710051, China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100626098","display_name":"Bingjie Li","orcid":"https://orcid.org/0000-0003-0294-4294"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bingjie Li","raw_affiliation_strings":["College of Science, Air Force Engineering University, Xi'an, Shaanxi, China","College of Science, Air Force Engineering University, Xi'an, Shanxi, 710051, China"],"affiliations":[{"raw_affiliation_string":"College of Science, Air Force Engineering University, Xi'an, Shaanxi, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"College of Science, Air Force Engineering University, Xi'an, Shanxi, 710051, China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021414140","display_name":"Guangxing Kou","orcid":null},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guangxing Kou","raw_affiliation_strings":["College of Science, Air Force Engineering University, Xi'an, Shaanxi, China","College of Science, Air Force Engineering University, Xi'an, Shanxi, 710051, China"],"affiliations":[{"raw_affiliation_string":"College of Science, Air Force Engineering University, Xi'an, Shaanxi, China","institution_ids":["https://openalex.org/I4210104252"]},{"raw_affiliation_string":"College of Science, Air Force Engineering University, Xi'an, Shanxi, 710051, China","institution_ids":["https://openalex.org/I4210104252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086229498"],"corresponding_institution_ids":["https://openalex.org/I4210104252"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16901408,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":null,"first_page":"76","last_page":"80"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9994000196456909,"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":0.9994000196456909,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7162201404571533},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.658638596534729},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.597968339920044},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5334233045578003},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5133758783340454},{"id":"https://openalex.org/keywords/expected-value","display_name":"Expected value","score":0.48200932145118713},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4524650573730469},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38311219215393066},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12521600723266602},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.05847325921058655}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7162201404571533},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.658638596534729},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.597968339920044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5334233045578003},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5133758783340454},{"id":"https://openalex.org/C141042865","wikidata":"https://www.wikidata.org/wiki/Q200125","display_name":"Expected value","level":2,"score":0.48200932145118713},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4524650573730469},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38311219215393066},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12521600723266602},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.05847325921058655},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2010.5569746","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2010.5569746","pdf_url":null,"source":{"id":"https://openalex.org/S4363608217","display_name":"2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery","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":21,"referenced_works":["https://openalex.org/W198381359","https://openalex.org/W608564597","https://openalex.org/W1549715974","https://openalex.org/W1964956303","https://openalex.org/W2019950953","https://openalex.org/W2043354583","https://openalex.org/W2050322553","https://openalex.org/W2054020565","https://openalex.org/W2054679210","https://openalex.org/W2062086146","https://openalex.org/W2073545186","https://openalex.org/W2087018611","https://openalex.org/W2125520958","https://openalex.org/W2128530362","https://openalex.org/W2147866364","https://openalex.org/W2612487376","https://openalex.org/W3106992008","https://openalex.org/W3143971390","https://openalex.org/W4230588984","https://openalex.org/W4249936906","https://openalex.org/W4300260142"],"related_works":["https://openalex.org/W1964872188","https://openalex.org/W2187391117","https://openalex.org/W1981809986","https://openalex.org/W2949367465","https://openalex.org/W2587048717","https://openalex.org/W4235203617","https://openalex.org/W2006359264","https://openalex.org/W3029201158","https://openalex.org/W2096746645","https://openalex.org/W2119377531"],"abstract_inverted_index":{"In":[0],"this":[1],"study,":[2],"based":[3],"on":[4],"the":[5,9,30,35,44,47,73],"random":[6,10],"fuzzy":[7,11],"theory,":[8],"multiobjective":[12],"programming":[13],"(RFMOP)":[14],"problems":[15],"are":[16,40,53,69],"presented.":[17],"We":[18],"first":[19],"consider":[20],"its":[21,27],"expected":[22],"value":[23],"model,":[24],"and":[25,34],"investigated":[26],"convexity.":[28],"Then":[29],"expected-value":[31,36],"efficient":[32,38],"solution":[33,39,63],"wake":[37],"defined.":[41],"To":[42],"solve":[43],"RFMOP":[45],"problem,":[46],"method":[48,74],"of":[49],"main":[50],"objective":[51],"function":[52],"proposed,":[54],"whose":[55],"theoretical":[56],"results":[57],"can":[58],"provide":[59],"foundation":[60],"for":[61],"designing":[62],"algorithm.":[64],"Finally,":[65],"a":[66],"numerical":[67],"example":[68],"given":[70],"to":[71],"explain":[72],"proposed":[75],"above.":[76]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}