{"id":"https://openalex.org/W2215233421","doi":"https://doi.org/10.1142/s0218488515500373","title":"An Interval Approximation Approach for a Multiobjective Programming Model with Fuzzy Objective Functions","display_name":"An Interval Approximation Approach for a Multiobjective Programming Model with Fuzzy Objective Functions","publication_year":2015,"publication_date":"2015-12-01","ids":{"openalex":"https://openalex.org/W2215233421","doi":"https://doi.org/10.1142/s0218488515500373","mag":"2215233421"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488515500373","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488515500373","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/A5023462484","display_name":"M.K. Luhandjula","orcid":null},"institutions":[{"id":"https://openalex.org/I165390105","display_name":"University of South Africa","ror":"https://ror.org/048cwvf49","country_code":"ZA","type":"education","lineage":["https://openalex.org/I165390105"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"M. K. Luhandjula","raw_affiliation_strings":["Department of Decision Sciences, University of South Africa, P.O. Box 392, Unisa; Pretoria 0003, South Africa"],"affiliations":[{"raw_affiliation_string":"Department of Decision Sciences, University of South Africa, P.O. Box 392, Unisa; Pretoria 0003, South Africa","institution_ids":["https://openalex.org/I165390105"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023462484"],"corresponding_institution_ids":["https://openalex.org/I165390105"],"apc_list":null,"apc_paid":null,"fwci":0.3366,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65968988,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"23","issue":"06","first_page":"845","last_page":"860"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9994999766349792,"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":0.9994999766349792,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9980999827384949,"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":0.9958999752998352,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.7104870676994324},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6849600076675415},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6678673028945923},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5798444747924805},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5080463886260986},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46181854605674744},{"id":"https://openalex.org/keywords/pareto-optimal","display_name":"Pareto optimal","score":0.45425039529800415},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.44155073165893555},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4354243874549866},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4259118437767029},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17125046253204346}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7104870676994324},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6849600076675415},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6678673028945923},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5798444747924805},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5080463886260986},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46181854605674744},{"id":"https://openalex.org/C2986314615","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto optimal","level":3,"score":0.45425039529800415},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.44155073165893555},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4354243874549866},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4259118437767029},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17125046253204346},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218488515500373","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488515500373","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W202470279","https://openalex.org/W1602450890","https://openalex.org/W1964545832","https://openalex.org/W1967779834","https://openalex.org/W1988131669","https://openalex.org/W1989769174","https://openalex.org/W2001258251","https://openalex.org/W2001359285","https://openalex.org/W2009054772","https://openalex.org/W2009622910","https://openalex.org/W2013367574","https://openalex.org/W2026774912","https://openalex.org/W2027360559","https://openalex.org/W2043278166","https://openalex.org/W2048542883","https://openalex.org/W2060942611","https://openalex.org/W2069432160","https://openalex.org/W2091120028","https://openalex.org/W2095042901","https://openalex.org/W2151522044","https://openalex.org/W2160575059","https://openalex.org/W2162108814","https://openalex.org/W2167145078"],"related_works":["https://openalex.org/W2073298047","https://openalex.org/W2090178682","https://openalex.org/W2033790662","https://openalex.org/W1963790170","https://openalex.org/W2586328217","https://openalex.org/W3125131255","https://openalex.org/W2049264236","https://openalex.org/W2009156627","https://openalex.org/W2073147994","https://openalex.org/W2001591765"],"abstract_inverted_index":{"Research":[0],"in":[1,28,54,107],"optimization":[2],"under":[3],"uncertainty":[4],"is":[5,143],"alive.":[6],"It":[7],"assumes":[8],"different":[9],"shapes":[10],"and":[11,22],"forms,":[12],"all":[13],"concurring":[14],"to":[15,51,94,119],"the":[16,55,61,71,108,133,147],"general":[17],"goal":[18],"of":[19,63,73,81,97,132,149],"designing":[20],"effective":[21],"efficient":[23],"tools":[24],"for":[25,40,146],"handling":[26],"imprecision":[27],"an":[29],"Optimization":[30],"setting.":[31],"In":[32],"this":[33],"paper":[34],"we":[35],"present":[36],"a":[37,74,95,104,115,120,128],"new":[38],"approach":[39,58],"dealing":[41],"with":[42,46,137],"multiobjective":[43,135],"programming":[44],"problems":[45],"fuzzy":[47,65,82,122],"objective":[48],"functions.":[49],"Similar":[50],"many":[52,98],"approaches":[53],"literature,":[56],"our":[57],"relies":[59],"on":[60],"deffuzification":[62,75],"involved":[64],"quantities.":[66],"Our":[67],"improvement":[68],"stem":[69],"from":[70],"choice":[72],"operator":[76],"that":[77,89],"captures":[78],"essential":[79],"features":[80],"parameters":[83],"at":[84],"hand":[85],"rather":[86],"than":[87],"those":[88],"yield":[90],"single":[91],"values,":[92],"leading":[93],"loss":[96],"useful":[99],"information.":[100],"Two":[101],"oracles":[102],"play":[103],"pivotal":[105],"role":[106],"proposed":[109],"method.":[110],"The":[111,124],"first":[112],"one":[113,126],"returns":[114],"near":[116],"interval":[117,138],"approximation":[118],"given":[121],"number.":[123],"other":[125],"delivers":[127],"Pareto":[129],"Optimal":[130],"solution":[131],"resulting":[134],"program":[136],"coefficient.":[139],"A":[140],"numerical":[141],"example":[142],"also":[144],"provided":[145],"sake":[148],"illustration.":[150]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}