{"id":"https://openalex.org/W1966884570","doi":"https://doi.org/10.1142/s0218488510006532","title":"BOUNDED LINEAR PROGRAMS WITH TRAPEZOIDAL FUZZY NUMBERS","display_name":"BOUNDED LINEAR PROGRAMS WITH TRAPEZOIDAL FUZZY NUMBERS","publication_year":2010,"publication_date":"2010-05-10","ids":{"openalex":"https://openalex.org/W1966884570","doi":"https://doi.org/10.1142/s0218488510006532","mag":"1966884570"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488510006532","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488510006532","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","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/A5089713497","display_name":"Ali Ebrahimnejad","orcid":"https://orcid.org/0000-0001-6003-6601"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"ALI EBRAHIMNEJAD","raw_affiliation_strings":["Department of Mathematics, Sciences and Research Branch, Islamic Azad University, Tehran 98 21, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sciences and Research Branch, Islamic Azad University, Tehran 98 21, Iran","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103925109","display_name":"Seyed Hadi Nasseri","orcid":null},"institutions":[{"id":"https://openalex.org/I4871159","display_name":"University of Mazandaran","ror":"https://ror.org/05fp9g671","country_code":"IR","type":"education","lineage":["https://openalex.org/I4871159"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"SEYED HADI NASSERI","raw_affiliation_strings":["Department of Mathematics and Computer Sciences, Mazandaran University, Babolsar 98 112, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Sciences, Mazandaran University, Babolsar 98 112, Iran","institution_ids":["https://openalex.org/I4871159"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019808431","display_name":"Farhad Hosseinzadeh Lotf\u0131","orcid":"https://orcid.org/0000-0001-5022-553X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"FARHAD HOSSEINZADEH LOTFI","raw_affiliation_strings":["Department of Mathematics, Sciences and Research Branch, Islamic Azad University, Tehran 98 21, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sciences and Research Branch, Islamic Azad University, Tehran 98 21, Iran","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.2291,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":{"value":0.98150926,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"18","issue":"03","first_page":"269","last_page":"286"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9994999766349792,"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":0.9991999864578247,"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/bounded-function","display_name":"Bounded function","score":0.7123134732246399},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.646722137928009},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6429098844528198},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.600902795791626},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5735540986061096},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.531636118888855},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5293900370597839},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.44600948691368103},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34747010469436646},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.3090217113494873},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21801364421844482}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7123134732246399},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.646722137928009},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6429098844528198},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.600902795791626},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5735540986061096},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.531636118888855},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5293900370597839},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.44600948691368103},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34747010469436646},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3090217113494873},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21801364421844482},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218488510006532","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488510006532","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W51696563","https://openalex.org/W1966965087","https://openalex.org/W1971860798","https://openalex.org/W1990819810","https://openalex.org/W1992980798","https://openalex.org/W2002344226","https://openalex.org/W2011224774","https://openalex.org/W2016918810","https://openalex.org/W2022351043","https://openalex.org/W2023342125","https://openalex.org/W2024504683","https://openalex.org/W2027029401","https://openalex.org/W2037258742","https://openalex.org/W2042483022","https://openalex.org/W2046743414","https://openalex.org/W2052239448","https://openalex.org/W2053912621","https://openalex.org/W2055877691","https://openalex.org/W2057615224","https://openalex.org/W2073968196","https://openalex.org/W2076519337","https://openalex.org/W2076826723","https://openalex.org/W2086393750","https://openalex.org/W2086467817","https://openalex.org/W2090303591","https://openalex.org/W2099904646","https://openalex.org/W2122895761","https://openalex.org/W2133695364","https://openalex.org/W2166863502","https://openalex.org/W2167700362","https://openalex.org/W2167988338","https://openalex.org/W2176210190","https://openalex.org/W2182044576","https://openalex.org/W2228932084","https://openalex.org/W2330022088","https://openalex.org/W2641167983","https://openalex.org/W4211007335","https://openalex.org/W4230318447","https://openalex.org/W4237503069"],"related_works":["https://openalex.org/W4385961889","https://openalex.org/W2287021682","https://openalex.org/W2066370001","https://openalex.org/W2063980661","https://openalex.org/W2160831542","https://openalex.org/W2061828243","https://openalex.org/W3187601603","https://openalex.org/W2102225355","https://openalex.org/W2893993940","https://openalex.org/W2155280868"],"abstract_inverted_index":{"Recently":[0],"Ganesan":[1],"and":[2,51],"Veeramani":[3],"introduced":[4],"a":[5,10,59,72],"new":[6,68,73],"approach":[7,32,64],"for":[8,36],"solving":[9],"kind":[11],"of":[12,62],"linear":[13,27],"programming":[14,28],"problems":[15],"involving":[16],"symmetric":[17],"trapezoidal":[18],"fuzzy":[19,49,52],"numbers":[20],"without":[21],"converting":[22],"them":[23],"to":[24,46,71,75],"the":[25],"crisp":[26],"problems.":[29],"But":[30],"their":[31,63],"is":[33],"not":[34],"efficient":[35],"situations":[37],"in":[38],"which":[39],"some":[40,67],"or":[41],"all":[42],"variables":[43],"are":[44],"restricted":[45],"lie":[47],"within":[48],"lower":[50],"upper":[53],"bounds.":[54],"In":[55],"this":[56,77],"paper,":[57],"by":[58],"natural":[60],"extension":[61],"we":[65],"obtain":[66],"results":[69],"leading":[70],"method":[74],"overcome":[76],"shortcoming.":[78]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":9},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":10}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
