{"id":"https://openalex.org/W2952096747","doi":"https://doi.org/10.3233/jifs-18692","title":"Methods to solve QPPs with fuzzy parameters and fuzzy variables","display_name":"Methods to solve QPPs with fuzzy parameters and fuzzy variables","publication_year":2019,"publication_date":"2019-06-07","ids":{"openalex":"https://openalex.org/W2952096747","doi":"https://doi.org/10.3233/jifs-18692","mag":"2952096747"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-18692","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-18692","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy 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/A5040643155","display_name":"Sumati Mahajan","orcid":"https://orcid.org/0000-0002-8815-1190"},"institutions":[{"id":"https://openalex.org/I154851008","display_name":"Indian Institute of Technology Roorkee","ror":"https://ror.org/00582g326","country_code":"IN","type":"education","lineage":["https://openalex.org/I154851008"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sumati Mahajan","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India","institution_ids":["https://openalex.org/I154851008"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032385628","display_name":"S. K. Gupta","orcid":"https://orcid.org/0000-0003-2613-6806"},"institutions":[{"id":"https://openalex.org/I154851008","display_name":"Indian Institute of Technology Roorkee","ror":"https://ror.org/00582g326","country_code":"IN","type":"education","lineage":["https://openalex.org/I154851008"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S.K. Gupta","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India","institution_ids":["https://openalex.org/I154851008"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040643155"],"corresponding_institution_ids":["https://openalex.org/I154851008"],"apc_list":null,"apc_paid":null,"fwci":0.3285,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.56852087,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"37","issue":"2","first_page":"2757","last_page":"2767"},"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":0.9987000226974487,"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":0.9922000169754028,"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.7174661755561829},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6181361675262451},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.6068928241729736},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.5800572633743286},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5505648851394653},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5367615818977356},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4901350438594818},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4339430630207062},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4150896370410919},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.3505358099937439},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1292250156402588}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.7174661755561829},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6181361675262451},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.6068928241729736},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.5800572633743286},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5505648851394653},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5367615818977356},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4901350438594818},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4339430630207062},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4150896370410919},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3505358099937439},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1292250156402588},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-18692","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-18692","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy 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":35,"referenced_works":["https://openalex.org/W290360019","https://openalex.org/W1559635886","https://openalex.org/W1981622065","https://openalex.org/W1990819810","https://openalex.org/W1991201845","https://openalex.org/W1992980798","https://openalex.org/W2000171585","https://openalex.org/W2003644018","https://openalex.org/W2006010700","https://openalex.org/W2006603401","https://openalex.org/W2011033465","https://openalex.org/W2014193286","https://openalex.org/W2020637627","https://openalex.org/W2022069279","https://openalex.org/W2030824813","https://openalex.org/W2034869069","https://openalex.org/W2044769398","https://openalex.org/W2048719588","https://openalex.org/W2064328680","https://openalex.org/W2072690775","https://openalex.org/W2078115064","https://openalex.org/W2085888792","https://openalex.org/W2086467817","https://openalex.org/W2155676322","https://openalex.org/W2163422561","https://openalex.org/W2169271751","https://openalex.org/W2170925298","https://openalex.org/W2260640655","https://openalex.org/W2463057960","https://openalex.org/W2496352033","https://openalex.org/W2768832351","https://openalex.org/W2993706351","https://openalex.org/W4292158025","https://openalex.org/W4300491437","https://openalex.org/W4410022036"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W4242970302","https://openalex.org/W4388451300","https://openalex.org/W2571050636","https://openalex.org/W2060361571","https://openalex.org/W1975005191","https://openalex.org/W3176863924","https://openalex.org/W1485268022","https://openalex.org/W2382615100","https://openalex.org/W4361984403"],"abstract_inverted_index":{"Quadratic":[0],"programming":[1,8,19,51],"is":[2,20,89,99],"a":[3,25,49,67,93],"special":[4],"form":[5,103],"of":[6,11,28,104],"nonlinear":[7],"and":[9,57,78,96,109],"one":[10],"the":[12,75,97,102],"most":[13],"commonly":[14],"used":[15],"forms":[16],"too.":[17],"Linear":[18],"also":[21,121],"none":[22],"other":[23],"than":[24],"particular":[26],"case":[27],"quadratic":[29,50],"programming.":[30],"Ever-present":[31],"impreciseness":[32],"often":[33],"makes":[34],"way":[35],"for":[36],"natural":[37],"inclination":[38],"to":[39,47,64,92],"fuzzy":[40,55,58,72,81,87,105],"theory.":[41],"In":[42],"this":[43],"paper,":[44],"we":[45],"intend":[46],"solve":[48,65],"problem":[52],"(QPP)":[53],"involving":[54],"parameters":[56,73],"variables.":[59],"We":[60],"propose":[61],"two":[62],"approaches":[63],"such":[66],"QPP":[68,88,95],"having":[69],"not":[70],"only":[71],"in":[74,101],"objective":[76],"function":[77],"constraints":[79],"but":[80],"variables":[82],"as":[83],"well.":[84],"This":[85],"fully":[86],"eventually":[90],"reduced":[91],"crisp":[94],"solution":[98],"obtained":[100],"variables,":[106],"first":[107],"directly":[108],"later":[110],"by":[111,123],"applying":[112],"Karush-":[113],"Kuhn":[114],"Tucker":[115],"conditions.":[116],"The":[117],"proposed":[118],"methods":[119],"are":[120],"illustrated":[122],"some":[124],"numerical":[125],"examples.":[126]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
