{"id":"https://openalex.org/W2057644746","doi":"https://doi.org/10.1142/s0218488512500183","title":"A GOAL PROGRAMMING APPROACH TO GROUP DECISION MAKING WITH INCOMPLETE FUZZY AND INTERVAL PREFERENCE RELATIONS","display_name":"A GOAL PROGRAMMING APPROACH TO GROUP DECISION MAKING WITH INCOMPLETE FUZZY AND INTERVAL PREFERENCE RELATIONS","publication_year":2012,"publication_date":"2012-05-16","ids":{"openalex":"https://openalex.org/W2057644746","doi":"https://doi.org/10.1142/s0218488512500183","mag":"2057644746"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488512500183","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488512500183","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/A5100722502","display_name":"Jiang Jiang","orcid":"https://orcid.org/0000-0002-3478-4224"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JIANG JIANG","raw_affiliation_strings":["College of Information System and Management, National University of Defense Technology, Changsha 410073, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information System and Management, National University of Defense Technology, Changsha 410073, P. R. China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100362270","display_name":"Xuan Li","orcid":"https://orcid.org/0000-0001-7540-7145"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"XUAN LI","raw_affiliation_strings":["College of Information System and Management, National University of Defense Technology, Changsha 410073, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information System and Management, National University of Defense Technology, Changsha 410073, P. R. China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102744094","display_name":"Yingwu Chen","orcid":"https://orcid.org/0000-0003-3714-2590"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"YINGWU CHEN","raw_affiliation_strings":["College of Information System and Management, National University of Defense Technology, Changsha 410073, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information System and Management, National University of Defense Technology, Changsha 410073, P. R. China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016135742","display_name":"Dawei Tang","orcid":"https://orcid.org/0000-0002-8914-7038"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"DAWEI TANG","raw_affiliation_strings":["Manchester Business School, University of Manchester, Manchester, M15 6PB, UK","Manchester Business School, University of Manchester, Manchester M15 6PB, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Manchester Business School, University of Manchester, Manchester, M15 6PB, UK","institution_ids":["https://openalex.org/I28407311"]},{"raw_affiliation_string":"Manchester Business School, University of Manchester, Manchester M15 6PB, UK","institution_ids":["https://openalex.org/I28407311"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15926184,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":"03","first_page":"355","last_page":"367"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.996999979019165,"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":0.996999979019165,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9969000220298767,"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/T14368","display_name":"Evaluation and Optimization Models","score":0.9355000257492065,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.7470265626907349},{"id":"https://openalex.org/keywords/goal-programming","display_name":"Goal programming","score":0.7262178063392639},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5940669775009155},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.5782313942909241},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5532521605491638},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5298100709915161},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5131590962409973},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.5119855999946594},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4111270308494568},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.36123406887054443},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35825657844543457},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34905046224594116},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09956240653991699},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.0769239068031311},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.07218661904335022}],"concepts":[{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.7470265626907349},{"id":"https://openalex.org/C61157135","wikidata":"https://www.wikidata.org/wiki/Q1345279","display_name":"Goal programming","level":2,"score":0.7262178063392639},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5940669775009155},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.5782313942909241},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5532521605491638},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5298100709915161},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5131590962409973},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.5119855999946594},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4111270308494568},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.36123406887054443},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35825657844543457},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34905046224594116},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09956240653991699},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0769239068031311},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.07218661904335022},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"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/s0218488512500183","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488512500183","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":[{"score":0.7599999904632568,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W35369483","https://openalex.org/W38296636","https://openalex.org/W173698722","https://openalex.org/W1963675712","https://openalex.org/W1967631404","https://openalex.org/W1973104643","https://openalex.org/W1983862988","https://openalex.org/W1993472498","https://openalex.org/W1995906594","https://openalex.org/W1999943538","https://openalex.org/W2004862272","https://openalex.org/W2006902036","https://openalex.org/W2016075546","https://openalex.org/W2031499317","https://openalex.org/W2044568429","https://openalex.org/W2052372796","https://openalex.org/W2063078085","https://openalex.org/W2086901556","https://openalex.org/W2091328381","https://openalex.org/W2105915632","https://openalex.org/W2118763747","https://openalex.org/W2122826689","https://openalex.org/W2137624040","https://openalex.org/W2137911902","https://openalex.org/W2138962584","https://openalex.org/W2153151135","https://openalex.org/W2157339075","https://openalex.org/W2166294434","https://openalex.org/W2167620730","https://openalex.org/W2171764073","https://openalex.org/W3142850553","https://openalex.org/W4239177862","https://openalex.org/W4251950542"],"related_works":["https://openalex.org/W2931602588","https://openalex.org/W2132261783","https://openalex.org/W3131514223","https://openalex.org/W2381957916","https://openalex.org/W2152631499","https://openalex.org/W2378292265","https://openalex.org/W2079781595","https://openalex.org/W2049947502","https://openalex.org/W59299519","https://openalex.org/W1855122900"],"abstract_inverted_index":{"In":[0],"order":[1],"to":[2,71,116],"solve":[3],"group":[4],"decision":[5,16,77],"making":[6],"(GDM)":[7],"problems":[8],"where":[9],"the":[10,31,46,65,73,76,82,85,92,100,120,123],"preference":[11,50,67,112],"relations":[12,51,68,113],"are":[13,114],"provided":[14],"by":[15],"makers":[17],"with":[18],"incomplete":[19,108],"fuzzy":[20,109],"and":[21,37,52,110,118],"interval":[22,111],"numbers,":[23],"this":[24],"paper":[25],"develops":[26],"a":[27],"GDM":[28],"approach":[29,43],"on":[30],"basis":[32],"of":[33,49,87,91,122],"multiple":[34],"objective":[35],"optimization":[36,57],"goal":[38],"programming":[39,62,83],"methods.":[40],"The":[41],"proposed":[42,124],"first":[44],"analyzes":[45],"two":[47,66],"types":[48],"then":[53],"builds":[54],"their":[55],"respective":[56],"models.":[58],"Subsequently,":[59],"an":[60],"integrated":[61],"model":[63],"combining":[64],"is":[69],"developed":[70],"minimize":[72],"inconsistency":[74],"among":[75],"makers'":[78],"opinions.":[79],"By":[80],"solving":[81],"model,":[84],"ranking":[86],"alternatives":[88],"or":[89],"selection":[90],"most":[93],"desirable":[94],"alternative":[95],"can":[96],"be":[97],"obtained":[98],"using":[99],"intermediate":[101],"priority":[102],"vector.":[103],"Two":[104],"numerical":[105],"examples":[106],"including":[107],"examined":[115],"illustrate":[117],"show":[119],"applicability":[121],"approach.":[125]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}