{"id":"https://openalex.org/W4365139495","doi":"https://doi.org/10.1155/2023/9677396","title":"An <i>\u03b5</i>\u2010Constraint Method for Multiobjective Linear Programming in Intuitionistic Fuzzy Environment","display_name":"An <i>\u03b5</i>\u2010Constraint Method for Multiobjective Linear Programming in Intuitionistic Fuzzy Environment","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4365139495","doi":"https://doi.org/10.1155/2023/9677396"},"language":"en","primary_location":{"id":"doi:10.1155/2023/9677396","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/9677396","pdf_url":"https://downloads.hindawi.com/journals/ijis/2023/9677396.pdf","source":{"id":"https://openalex.org/S57950554","display_name":"International Journal of Intelligent Systems","issn_l":"0884-8173","issn":["0884-8173","1098-111X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/journals/ijis/2023/9677396.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033241196","display_name":"Boris P\u00e9rez\u2010Ca\u00f1edo","orcid":"https://orcid.org/0000-0002-5623-4039"},"institutions":[{"id":"https://openalex.org/I160253776","display_name":"University of Cienfuegos","ror":"https://ror.org/05m031e17","country_code":"CU","type":"education","lineage":["https://openalex.org/I160253776"]}],"countries":["CU"],"is_corresponding":false,"raw_author_name":"Boris P\u00e9rez-Ca\u00f1edo","raw_affiliation_strings":["Department of Mathematics, University of Cienfuegos, Cienfuegos 55100","Department of Mathematics, University of Cienfuegos, Cienfuegos 55100, Cuba"],"raw_orcid":"https://orcid.org/0000-0002-5623-4039","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Cienfuegos, Cienfuegos 55100","institution_ids":["https://openalex.org/I160253776"]},{"raw_affiliation_string":"Department of Mathematics, University of Cienfuegos, Cienfuegos 55100, Cuba","institution_ids":["https://openalex.org/I160253776"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010560354","display_name":"Jos\u00e9 Lu\u00eds Verdegay","orcid":"https://orcid.org/0000-0003-2487-942X"},"institutions":[{"id":"https://openalex.org/I173304897","display_name":"Universidad de Granada","ror":"https://ror.org/04njjy449","country_code":"ES","type":"education","lineage":["https://openalex.org/I173304897"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 Luis Verdegay","raw_affiliation_strings":["Department of Computer Science and Artificial Intelligence, University of Granada, Granada 18071","Department of Computer Science and Artificial Intelligence, University of Granada, Granada 18071, Spain"],"raw_orcid":"https://orcid.org/0000-0003-2487-942X","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Artificial Intelligence, University of Granada, Granada 18071","institution_ids":["https://openalex.org/I173304897"]},{"raw_affiliation_string":"Department of Computer Science and Artificial Intelligence, University of Granada, Granada 18071, Spain","institution_ids":["https://openalex.org/I173304897"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028880915","display_name":"Eduardo Morales","orcid":"https://orcid.org/0000-0003-2190-1337"},"institutions":[{"id":"https://openalex.org/I160253776","display_name":"University of Cienfuegos","ror":"https://ror.org/05m031e17","country_code":"CU","type":"education","lineage":["https://openalex.org/I160253776"]}],"countries":["CU"],"is_corresponding":true,"raw_author_name":"Eduardo Ren\u00e9 Concepci\u00f3n-Morales","raw_affiliation_strings":["Department of Informatics, University of Cienfuegos, Cienfuegos 55100","Department of Informatics, University of Cienfuegos, Cienfuegos 55100, Cuba"],"raw_orcid":"https://orcid.org/0000-0003-2190-1337","affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Cienfuegos, Cienfuegos 55100","institution_ids":["https://openalex.org/I160253776"]},{"raw_affiliation_string":"Department of Informatics, University of Cienfuegos, Cienfuegos 55100, Cuba","institution_ids":["https://openalex.org/I160253776"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028880915"],"corresponding_institution_ids":["https://openalex.org/I160253776"],"apc_list":{"value":2500,"currency":"USD","value_usd":2500},"apc_paid":{"value":2500,"currency":"USD","value_usd":2500},"fwci":0.6989,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.68745345,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2023","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9998000264167786,"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":0.9998000264167786,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9832000136375427,"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":0.9495999813079834,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.6371912956237793},{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.6133788228034973},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.5169062614440918},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.4911899268627167},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48874759674072266},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4705372750759125},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4664451777935028},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4592594504356384},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.42166393995285034},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4111780524253845},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4075991213321686},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24175956845283508},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07077276706695557}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6371912956237793},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.6133788228034973},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.5169062614440918},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.4911899268627167},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48874759674072266},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4705372750759125},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4664451777935028},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4592594504356384},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.42166393995285034},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4111780524253845},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4075991213321686},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24175956845283508},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07077276706695557},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2023/9677396","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/9677396","pdf_url":"https://downloads.hindawi.com/journals/ijis/2023/9677396.pdf","source":{"id":"https://openalex.org/S57950554","display_name":"International Journal of Intelligent Systems","issn_l":"0884-8173","issn":["0884-8173","1098-111X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:digibug.ugr.es:10481/82269","is_oa":true,"landing_page_url":"https://hdl.handle.net/10481/82269","pdf_url":"https://digibug.ugr.es/bitstream/10481/82269/1/9677396.pdf","source":{"id":"https://openalex.org/S4306400567","display_name":"Institutional Repository of the University of Granada (University of Granada)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I173304897","host_organization_name":"Universidad de Granada","host_organization_lineage":["https://openalex.org/I173304897"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1155/2023/9677396","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/9677396","pdf_url":"https://downloads.hindawi.com/journals/ijis/2023/9677396.pdf","source":{"id":"https://openalex.org/S57950554","display_name":"International Journal of Intelligent Systems","issn_l":"0884-8173","issn":["0884-8173","1098-111X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7400000095367432,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G2223938177","display_name":null,"funder_award_id":"PID2020-112754GB-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G2262748287","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2783903356","display_name":null,"funder_award_id":"B-TIC-640-UGR20","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G3480869486","display_name":null,"funder_award_id":"13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G4668258890","display_name":null,"funder_award_id":"UGR20","funder_id":"https://openalex.org/F4320326754","funder_display_name":"Junta de Andaluc\u00eda"},{"id":"https://openalex.org/G5080475149","display_name":null,"funder_award_id":"10.13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G6169505296","display_name":null,"funder_award_id":"PID2020-112754GB-I00","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7084143925","display_name":null,"funder_award_id":"AEI/10","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7535663061","display_name":null,"funder_award_id":"AEI/10.","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320319605","display_name":"Consejer\u00eda de Transformaci\u00f3n Econ\u00f3mica, Industria, Conocimiento y Universidades","ror":null},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320326754","display_name":"Junta de Andaluc\u00eda","ror":"https://ror.org/01jem9c82"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4365139495.pdf"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1480106189","https://openalex.org/W1559635886","https://openalex.org/W1980564456","https://openalex.org/W2032702612","https://openalex.org/W2055133935","https://openalex.org/W2069109824","https://openalex.org/W2099867994","https://openalex.org/W2176210190","https://openalex.org/W2291666592","https://openalex.org/W2306378446","https://openalex.org/W2353915537","https://openalex.org/W2499828064","https://openalex.org/W2536620281","https://openalex.org/W2591847820","https://openalex.org/W2770794383","https://openalex.org/W2909033064","https://openalex.org/W2924779043","https://openalex.org/W2955312703","https://openalex.org/W2964131411","https://openalex.org/W2988835535","https://openalex.org/W2998858958","https://openalex.org/W3006903503","https://openalex.org/W3110355419","https://openalex.org/W3124075917","https://openalex.org/W3156216725","https://openalex.org/W3187887804","https://openalex.org/W4211007335","https://openalex.org/W4223501056","https://openalex.org/W4224243293"],"related_works":["https://openalex.org/W2253053392","https://openalex.org/W2184441312","https://openalex.org/W2121560876","https://openalex.org/W4206081075","https://openalex.org/W2331106272","https://openalex.org/W2366385051","https://openalex.org/W1470403688","https://openalex.org/W1486684451","https://openalex.org/W4361984403","https://openalex.org/W4361273540"],"abstract_inverted_index":{"Effective":[0],"decision\u2010making":[1,41],"requires":[2],"well\u2010founded":[3],"optimization":[4],"models":[5],"and":[6,32,105,159,184,213,215,226],"algorithms":[7],"tolerant":[8],"of":[9,29,54,62,103],"real\u2010world":[10],"uncertainties.":[11],"In":[12,98],"the":[13,27,69,101,111,220,236],"mid\u20101980s,":[14],"intuitionistic":[15,44,112,122,128,149,165,190],"fuzzy":[16,45,113,123,129,150,166,191],"set":[17],"theory":[18],"emerged":[19],"as":[20],"another":[21],"mathematical":[22],"framework":[23],"to":[24,36,81,110,135,231,235],"deal":[25],"with":[26,139,211],"uncertainty":[28],"subjective":[30],"judgments":[31],"made":[33],"it":[34,229],"possible":[35,230],"represent":[37],"hesitancy":[38],"in":[39,154,209],"a":[40,52,59],"problem.":[42],"Nowadays,":[43],"multiobjective":[46,167],"linear":[47],"programming":[48],"(IFMOLP)":[49],"problems":[50,84,138,152,169],"are":[51,65,108],"topic":[53],"extensive":[55],"research,":[56],"for":[57,78,119],"which":[58],"considerable":[60],"number":[61],"solution":[63,71],"approaches":[64,75,90],"being":[66],"developed.":[67],"Among":[68],"available":[70],"approaches,":[72],"ranking":[73,120],"function\u2010based":[74],"stand":[76],"out":[77],"their":[79],"simplicity":[80],"transform":[82],"these":[83,89],"into":[85],"conventional":[86],"ones.":[87],"However,":[88],"do":[91],"not":[92],"always":[93],"guarantee":[94],"Pareto":[95,106,224],"optimal":[96],"solutions.":[97],"this":[99],"study,":[100],"concepts":[102],"dominance":[104],"optimality":[107,225],"extended":[109],"case":[114],"by":[115,146],"using":[116,170],"lexicographic":[117],"criteria":[118],"triangular":[121],"numbers":[124],"(TIFNs).":[125],"Furthermore,":[126],"an":[127],"\u03b5":[130],"\u2010constraint":[131],"method":[132,143,222],"is":[133,144],"proposed":[134,142,221],"solve":[136],"IFMOLP":[137],"TIFNs.":[140],"The":[141],"illustrated":[145],"solving":[147],"two":[148,155],"transportation":[151,168,194],"addressed":[153],"studies":[156],"(S.":[157],"Mahajan":[158,212],"S.":[160],"K.":[161],"Gupta\u2019s,":[162],"\u201cOn":[163],"fully":[164,189],"different":[171],"membership":[172],"functions,\u201d":[173],"Ann":[174],"Oper":[175],"Res,":[176],"vol.":[177,199],"296,":[178],"no.":[179,201],"1,":[180],"pp.":[181,203],"211\u2013241,":[182],"2021,":[183],"Ghosh":[185,216],"et":[186,217],"al.\u2019s,":[187],"\u201cMulti\u2010objective":[188],"fixed\u2010charge":[192],"solid":[193],"problem,\u201d":[195],"Complex":[196],"Intell":[197],"Syst,":[198],"7,":[200],"2,":[202],"1009\u20131023,":[204],"2021).":[205],"Results":[206],"show":[207],"that,":[208],"contrast":[210],"Gupta\u2019s":[214],"al.\u2019s":[218],"methods,":[219],"guarantees":[223],"also":[227],"makes":[228],"obtain":[232],"multiple":[233],"solutions":[234],"problems.":[237]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2023-04-13T00:00:00"}