{"id":"https://openalex.org/W2745637281","doi":"https://doi.org/10.1109/fuzz-ieee.2017.8015526","title":"Improved optimality conditions for fuzzy mathematical programming","display_name":"Improved optimality conditions for fuzzy mathematical programming","publication_year":2017,"publication_date":"2017-07-01","ids":{"openalex":"https://openalex.org/W2745637281","doi":"https://doi.org/10.1109/fuzz-ieee.2017.8015526","mag":"2745637281"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2017.8015526","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2017.8015526","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3239043","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026243757","display_name":"R. Osuna-G\u00f3mez","orcid":"https://orcid.org/0000-0002-1777-2395"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"R. Osuna-Gomez","raw_affiliation_strings":["Dpto. de Estad\u00edstica e I.O., Universidad de Sevilla, Spain"],"affiliations":[{"raw_affiliation_string":"Dpto. de Estad\u00edstica e I.O., Universidad de Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026493426","display_name":"Beatriz Hern\u00e1ndez\u2010Jim\u00e9nez","orcid":"https://orcid.org/0000-0002-7804-9205"},"institutions":[{"id":"https://openalex.org/I95013407","display_name":"Universidad Pablo de Olavide","ror":"https://ror.org/02z749649","country_code":"ES","type":"education","lineage":["https://openalex.org/I95013407"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"B. Hernandez-Jimenez","raw_affiliation_strings":["Dpto. de Econom\u00eda, Universidad Pablo de Olavide, Spain"],"affiliations":[{"raw_affiliation_string":"Dpto. de Econom\u00eda, Universidad Pablo de Olavide, Spain","institution_ids":["https://openalex.org/I95013407"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032591319","display_name":"Y. Chalco-Cano","orcid":"https://orcid.org/0000-0002-0694-1755"},"institutions":[{"id":"https://openalex.org/I185652977","display_name":"University of Tarapac\u00e1","ror":"https://ror.org/04xe01d27","country_code":"CL","type":"education","lineage":["https://openalex.org/I185652977"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Y. Chalco-Cano","raw_affiliation_strings":["Instituto de Alta Investigaci\u00f3n, Universidad de Tarapac\u00e1Casilla 7D, Arica, Chile"],"affiliations":[{"raw_affiliation_string":"Instituto de Alta Investigaci\u00f3n, Universidad de Tarapac\u00e1Casilla 7D, Arica, Chile","institution_ids":["https://openalex.org/I185652977"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013613351","display_name":"Gabriel Ruiz Garz\u00f3n","orcid":"https://orcid.org/0000-0003-0639-3776"},"institutions":[{"id":"https://openalex.org/I39147953","display_name":"Universidad de C\u00e1diz","ror":"https://ror.org/04mxxkb11","country_code":"ES","type":"education","lineage":["https://openalex.org/I39147953"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"G. Ruiz-Garzon","raw_affiliation_strings":["Dpto de Estad\u00edstica e I.O., Universidad de C\u00e1diz, Spain"],"affiliations":[{"raw_affiliation_string":"Dpto de Estad\u00edstica e I.O., Universidad de C\u00e1diz, Spain","institution_ids":["https://openalex.org/I39147953"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5026243757"],"corresponding_institution_ids":["https://openalex.org/I79238269"],"apc_list":null,"apc_paid":null,"fwci":0.2429,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60363511,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"8","issue":null,"first_page":"1","last_page":"5"},"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9961000084877014,"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":0.9945999979972839,"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/karush\u2013kuhn\u2013tucker-conditions","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","score":0.9279055595397949},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6888415813446045},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.6720826625823975},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6482630372047424},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6177799701690674},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5211501121520996},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5042227506637573},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.47462379932403564},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.449863463640213},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.44372236728668213},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.36974412202835083},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3542655110359192},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16150641441345215}],"concepts":[{"id":"https://openalex.org/C50454189","wikidata":"https://www.wikidata.org/wiki/Q2075125","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","level":2,"score":0.9279055595397949},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6888415813446045},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.6720826625823975},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6482630372047424},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6177799701690674},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5211501121520996},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5042227506637573},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.47462379932403564},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.449863463640213},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.44372236728668213},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.36974412202835083},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3542655110359192},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16150641441345215},{"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/fuzz-ieee.2017.8015526","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2017.8015526","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},{"id":"pmh:oai:americanae.aecid.es:3239043","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3239043","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","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":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2017 Ieee International Conference On Fuzzy Systems (FUZZ-IEEE)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:localhost:10533/232496","is_oa":true,"landing_page_url":"http://hdl.handle.net/10533/232496","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2017 Ieee International Conference On Fuzzy Systems (FUZZ-IEEE)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:americanae.aecid.es:3239043","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3239043","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","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":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2017 Ieee International Conference On Fuzzy Systems (FUZZ-IEEE)","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W636069421","https://openalex.org/W1680454679","https://openalex.org/W1986928005","https://openalex.org/W1994178762","https://openalex.org/W1995123739","https://openalex.org/W2000020882","https://openalex.org/W2009054772","https://openalex.org/W2013367574","https://openalex.org/W2034038007","https://openalex.org/W2036866531","https://openalex.org/W2038354216","https://openalex.org/W2039064061","https://openalex.org/W2063970263","https://openalex.org/W2070545443","https://openalex.org/W2078839838","https://openalex.org/W2095042901"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W4388451300","https://openalex.org/W2060361571","https://openalex.org/W1975005191","https://openalex.org/W3176863924","https://openalex.org/W4361984403","https://openalex.org/W1485268022","https://openalex.org/W2382615100","https://openalex.org/W2331106272","https://openalex.org/W2182392910"],"abstract_inverted_index":{"In":[0,17],"this":[1,111],"work":[2],"we":[3,22,42,64,115,138],"study":[4],"optimization":[5,32,88],"problems":[6,27,33,126],"where":[7,34],"both":[8],"objective":[9],"and":[10,46,57,78,131],"constraints":[11,36],"are":[12,28,37,83],"given":[13],"by":[14],"fuzzy":[15,31,69,87,104,123],"functions.":[16,40],"order":[18],"to":[19,30,99],"solve":[20],"them,":[21],"first":[23],"prove":[24,43,116],"that":[25,58,63,82,94,127,134],"such":[26],"equivalent":[29],"the":[35,55,92,135,142],"non-fuzzy":[38],"(crisp)":[39],"Besides":[41],"a":[44,72,100,117],"new":[45,112],"appropriate":[47],"Karush-Kuhn-Tucker":[48],"type":[49],"necessary":[50,119],"optimality":[51,120],"condition":[52,121],"based":[53],"on":[54],"gH-differentiability":[56],"has":[59],"many":[60],"computational":[61],"advantages":[62],"describe.":[65],"The":[66],"gH-derivative":[67],"for":[68,122],"functions":[70],"is":[71,128],"more":[73,129],"general":[74],"notion":[75],"than":[76,107],"Hukuhara":[77],"level-wise":[79],"derivatives":[80],"ones":[81,137],"usually":[84],"used":[85],"in":[86,91,141],"so":[89,144],"far,":[90],"sense":[93],"it":[95],"can":[96,139],"be":[97],"applied":[98],"wider":[101],"number":[102],"of":[103],"function":[105],"classes":[106],"above":[108],"concepts.":[109],"With":[110],"differentiability":[113],"concept,":[114],"KKT-type":[118],"mathematical":[124],"programming":[125],"operational":[130],"less":[132],"restrictive":[133],"few":[136],"find":[140],"literature":[143],"far.":[145]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}