{"id":"https://openalex.org/W2900202456","doi":"https://doi.org/10.1080/01605682.2018.1489349","title":"Optimal weighting models based on linear uncertain constraints in intuitionistic fuzzy preference relations","display_name":"Optimal weighting models based on linear uncertain constraints in intuitionistic fuzzy preference relations","publication_year":2018,"publication_date":"2018-11-09","ids":{"openalex":"https://openalex.org/W2900202456","doi":"https://doi.org/10.1080/01605682.2018.1489349","mag":"2900202456"},"language":"en","primary_location":{"id":"doi:10.1080/01605682.2018.1489349","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01605682.2018.1489349","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dora.dmu.ac.uk/bitstreams/367705c3-1834-4767-9e08-ce24471baa3c/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052585993","display_name":"Zaiwu Gong","orcid":"https://orcid.org/0000-0002-2273-2726"},"institutions":[{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zaiwu Gong","raw_affiliation_strings":["Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters, School of Management Science and Engineering, Nanjing University of Information Science and Technology, Nanjing, China;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters, School of Management Science and Engineering, Nanjing University of Information Science and Technology, Nanjing, China;","institution_ids":["https://openalex.org/I200845125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101540066","display_name":"Xiao Tan","orcid":"https://orcid.org/0000-0002-1433-6934"},"institutions":[{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao Tan","raw_affiliation_strings":["Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters, School of Management Science and Engineering, Nanjing University of Information Science and Technology, Nanjing, China;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters, School of Management Science and Engineering, Nanjing University of Information Science and Technology, Nanjing, China;","institution_ids":["https://openalex.org/I200845125"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006135936","display_name":"Yingjie Yang","orcid":"https://orcid.org/0000-0003-4525-5624"},"institutions":[{"id":"https://openalex.org/I66943878","display_name":"De Montfort University","ror":"https://ror.org/0312pnr83","country_code":"GB","type":"education","lineage":["https://openalex.org/I66943878"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Yingjie Yang","raw_affiliation_strings":["Centre for Computational Intelligence, De Montfort University, Leicester, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Computational Intelligence, De Montfort University, Leicester, UK","institution_ids":["https://openalex.org/I66943878"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052585993"],"corresponding_institution_ids":["https://openalex.org/I200845125"],"apc_list":null,"apc_paid":null,"fwci":2.5095,"has_fulltext":true,"cited_by_count":24,"citation_normalized_percentile":{"value":0.89922774,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"70","issue":"8","first_page":"1296","last_page":"1307"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994000196456909,"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":0.9994000196456909,"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/T11106","display_name":"Data Management and Algorithms","score":0.9728000164031982,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9693999886512756,"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/weighting","display_name":"Weighting","score":0.7504227161407471},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.5941868424415588},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.567387044429779},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4730089008808136},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46912881731987},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.4569239616394043},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4291151165962219},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3344281315803528},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17591255903244019}],"concepts":[{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.7504227161407471},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.5941868424415588},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.567387044429779},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4730089008808136},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46912881731987},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.4569239616394043},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4291151165962219},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3344281315803528},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17591255903244019},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/01605682.2018.1489349","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01605682.2018.1489349","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","raw_type":"journal-article"},{"id":"pmh:oai:dora.dmu.ac.uk:2086/17432","is_oa":true,"landing_page_url":"http://hdl.handle.net/2086/17432","pdf_url":"https://dora.dmu.ac.uk/bitstreams/367705c3-1834-4767-9e08-ce24471baa3c/download","source":{"id":"https://openalex.org/S4306400394","display_name":"DMU Open Research Archive (De Montfort University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66943878","host_organization_name":"De Montfort University","host_organization_lineage":["https://openalex.org/I66943878"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:RePEc:taf:tjorxx:v:70:y:2019:i:8:p:1296-1307","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/01605682.2018.1489349","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:dora.dmu.ac.uk:2086/17432","is_oa":true,"landing_page_url":"http://hdl.handle.net/2086/17432","pdf_url":"https://dora.dmu.ac.uk/bitstreams/367705c3-1834-4767-9e08-ce24471baa3c/download","source":{"id":"https://openalex.org/S4306400394","display_name":"DMU Open Research Archive (De Montfort University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66943878","host_organization_name":"De Montfort University","host_organization_lineage":["https://openalex.org/I66943878"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.550000011920929,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G4346188141","display_name":null,"funder_award_id":"JY-014","funder_id":"https://openalex.org/F4320326182","funder_display_name":"Six Talent Peaks Project in Jiangsu Province"},{"id":"https://openalex.org/G5318082977","display_name":"\u6b8b\u7f3a\u4fe1\u606f\u73af\u5883\u4e0b\u7684\u4e13\u5bb6\u76f4\u89c9\u578b\u5224\u65ad\u77e5\u8bc6\u878d\u5408\u4e0e\u51b3\u7b56\u65b9\u6848\u4f18\u9009\u7814\u7a76","funder_award_id":"70901043","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7021365451","display_name":"\u76f4\u89c9\u578b\u504f\u597d\u7fa4\u4f53\u5171\u8bc6\u51b3\u7b56\u7406\u8bba\u4e0e\u65b9\u6cd5\u7814\u7a76","funder_award_id":"71171115","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G802465051","display_name":"\u7fa4\u4f53\u5171\u8bc6\u5feb\u901f\u6536\u655b\uff1a\u5efa\u6a21\u3001\u5b9e\u9a8c\u53ca\u4eff\u771f\u5206\u6790\u7814\u7a76","funder_award_id":"71571104","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G94398381","display_name":null,"funder_award_id":"2014\u2212JY \u2212014","funder_id":"https://openalex.org/F4320326182","funder_display_name":"Six Talent Peaks Project in Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321605","display_name":"Government of Jiangsu Province","ror":"https://ror.org/004svx814"},{"id":"https://openalex.org/F4320326182","display_name":"Six Talent Peaks Project in Jiangsu Province","ror":null},{"id":"https://openalex.org/F4320327518","display_name":"Priority Academic Program Development of Jiangsu Higher Education Institutions","ror":null},{"id":"https://openalex.org/F4320327794","display_name":"Qinglan Project of Jiangsu Province of China","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2900202456.pdf","grobid_xml":"https://content.openalex.org/works/W2900202456.grobid-xml"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W256110547","https://openalex.org/W1497256448","https://openalex.org/W1659842140","https://openalex.org/W1771499885","https://openalex.org/W1980564456","https://openalex.org/W1982675899","https://openalex.org/W2004599184","https://openalex.org/W2006002090","https://openalex.org/W2007611003","https://openalex.org/W2011258762","https://openalex.org/W2011497066","https://openalex.org/W2028160886","https://openalex.org/W2040832520","https://openalex.org/W2045376424","https://openalex.org/W2048176868","https://openalex.org/W2051385355","https://openalex.org/W2055728080","https://openalex.org/W2060134929","https://openalex.org/W2060589859","https://openalex.org/W2060706257","https://openalex.org/W2065095840","https://openalex.org/W2084836491","https://openalex.org/W2086961297","https://openalex.org/W2089336319","https://openalex.org/W2091358819","https://openalex.org/W2171537782","https://openalex.org/W2183984143","https://openalex.org/W2206385896","https://openalex.org/W2213585008","https://openalex.org/W2231407991","https://openalex.org/W2252951467","https://openalex.org/W2296048214","https://openalex.org/W2345594327","https://openalex.org/W2375194070","https://openalex.org/W2406582191","https://openalex.org/W2489937030","https://openalex.org/W2511415659","https://openalex.org/W2521029923","https://openalex.org/W2528876576","https://openalex.org/W2561510057","https://openalex.org/W2572384743","https://openalex.org/W2586421129","https://openalex.org/W2591222206","https://openalex.org/W2594100920","https://openalex.org/W2737813977","https://openalex.org/W2740726399","https://openalex.org/W2753220504","https://openalex.org/W2765655707","https://openalex.org/W2912189486","https://openalex.org/W2912565176","https://openalex.org/W3142850553","https://openalex.org/W4211007335","https://openalex.org/W4234521054","https://openalex.org/W4236577982","https://openalex.org/W6758671891"],"related_works":["https://openalex.org/W2180954594","https://openalex.org/W2052835778","https://openalex.org/W2049003611","https://openalex.org/W2127804977","https://openalex.org/W2108418243","https://openalex.org/W164103134","https://openalex.org/W2040545019","https://openalex.org/W2787352659","https://openalex.org/W1970611213","https://openalex.org/W4206560911"],"abstract_inverted_index":{"The":[0,69],"priority":[1,49],"weight":[2],"vectors":[3],"of":[4,29,34,61,75,82,120],"an":[5,30,114],"intuitionistic":[6],"fuzzy":[7],"preference":[8,39],"relation":[9],"(IFPR)":[10],"with":[11,53],"linear":[12,99,116],"uncertainty":[13,43],"distribution":[14,44],"characteristics":[15],"in":[16,23,71],"group":[17,102],"decision":[18,94],"making":[19],"(GDM)":[20],"are":[21,45,67],"determined":[22],"this":[24,111],"study.":[25],"On":[26],"the":[27,32,42,58,62,72,76,80,92,101,106,121],"basis":[28],"IFPR,":[31],"assumptions":[33],"additive":[35,84],"consistency":[36],"and":[37,57,64,125],"decision-making":[38],"variables":[40],"obeying":[41],"defined.":[46],"Afterward,":[47],"a":[48,54,98,126],"model":[50,119],"is":[51,88,123,129],"constructed":[52],"chance":[55,77],"constraint,":[56],"ranking":[59,117],"relations":[60],"membership":[63],"non-membership":[65],"matrices":[66],"analysed.":[68],"change":[70],"confidence":[73],"level":[74],"constraint":[78],"controls":[79],"flexibility":[81],"realising":[83],"consistency.":[85],"Moreover,":[86],"it":[87],"proven":[89],"that":[90],"if":[91],"individual":[93],"makers\u2019":[95],"IFPR":[96,103,122],"has":[97],"distribution,":[100],"aggregated":[104],"by":[105],"weighted":[107],"methodology":[108],"still":[109],"obeys":[110],"distribution.":[112],"Finally,":[113],"uncertain":[115],"consensus":[118],"developed,":[124],"numerical":[127],"example":[128],"used":[130],"to":[131],"verify":[132],"its":[133],"feasibility.":[134]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}