{"id":"https://openalex.org/W3034664040","doi":"https://doi.org/10.1109/access.2020.3001941","title":"A Novel Three-Phase LINMAP Method for Hybrid Multi-Criteria Group Decision Making With Dual Hesitant Fuzzy Truth Degrees","display_name":"A Novel Three-Phase LINMAP Method for Hybrid Multi-Criteria Group Decision Making With Dual Hesitant Fuzzy Truth Degrees","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3034664040","doi":"https://doi.org/10.1109/access.2020.3001941","mag":"3034664040"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.3001941","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3001941","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09115667.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09115667.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101902590","display_name":"Xiao-Yun Lu","orcid":"https://orcid.org/0000-0003-3632-8027"},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoyun Lu","raw_affiliation_strings":["School of Computer, Qinghai Normal University, Xining, China"],"raw_orcid":"https://orcid.org/0000-0003-3632-8027","affiliations":[{"raw_affiliation_string":"School of Computer, Qinghai Normal University, Xining, China","institution_ids":["https://openalex.org/I20616075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037384838","display_name":"Jiu-Ying Dong","orcid":"https://orcid.org/0000-0003-2859-5264"},"institutions":[{"id":"https://openalex.org/I59649739","display_name":"Jiangxi University of Finance and Economics","ror":"https://ror.org/03efmyj29","country_code":"CN","type":"education","lineage":["https://openalex.org/I59649739"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiuying Dong","raw_affiliation_strings":["School of Statistics, Jiangxi University of Finance and Economics, Nanchang, China"],"raw_orcid":"https://orcid.org/0000-0003-2859-5264","affiliations":[{"raw_affiliation_string":"School of Statistics, Jiangxi University of Finance and Economics, Nanchang, China","institution_ids":["https://openalex.org/I59649739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018712863","display_name":"Shu\u2010Ping Wan","orcid":"https://orcid.org/0000-0001-6504-9700"},"institutions":[{"id":"https://openalex.org/I59649739","display_name":"Jiangxi University of Finance and Economics","ror":"https://ror.org/03efmyj29","country_code":"CN","type":"education","lineage":["https://openalex.org/I59649739"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuping Wan","raw_affiliation_strings":["School of Information Technology, Jiangxi University of Finance and Economics, Nanchang, China"],"raw_orcid":"https://orcid.org/0000-0001-6504-9700","affiliations":[{"raw_affiliation_string":"School of Information Technology, Jiangxi University of Finance and Economics, Nanchang, China","institution_ids":["https://openalex.org/I59649739"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.0812,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.79674292,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"8","issue":null,"first_page":"112462","last_page":"112483"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9995999932289124,"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":0.9995999932289124,"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/T10969","display_name":"Water resources management and optimization","score":0.9739000201225281,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9678000211715698,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.6482330560684204},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6481934785842896},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.5513849854469299},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5269468426704407},{"id":"https://openalex.org/keywords/goal-programming","display_name":"Goal programming","score":0.5259775519371033},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5113353133201599},{"id":"https://openalex.org/keywords/ideal-solution","display_name":"Ideal solution","score":0.5080711841583252},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.48516708612442017},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.48471522331237793},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48014968633651733},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.47249332070350647},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.45108091831207275},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4425341486930847},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42788317799568176},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4213165044784546},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3381452262401581},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11640286445617676}],"concepts":[{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.6482330560684204},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6481934785842896},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.5513849854469299},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5269468426704407},{"id":"https://openalex.org/C61157135","wikidata":"https://www.wikidata.org/wiki/Q1345279","display_name":"Goal programming","level":2,"score":0.5259775519371033},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5113353133201599},{"id":"https://openalex.org/C89591040","wikidata":"https://www.wikidata.org/wiki/Q1779030","display_name":"Ideal solution","level":2,"score":0.5080711841583252},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.48516708612442017},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.48471522331237793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48014968633651733},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.47249332070350647},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.45108091831207275},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4425341486930847},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42788317799568176},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4213165044784546},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3381452262401581},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11640286445617676},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"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/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.3001941","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3001941","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09115667.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a13eeba5baae4b1a899bb0773f274944","is_oa":true,"landing_page_url":"https://doaj.org/article/a13eeba5baae4b1a899bb0773f274944","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 112462-112483 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.3001941","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3001941","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09115667.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1393941976","display_name":null,"funder_award_id":"2019-ZR-008","funder_id":"https://openalex.org/F4320327066","funder_display_name":"Qinghai Normal University"},{"id":"https://openalex.org/G2806020074","display_name":null,"funder_award_id":"2020-ZJ-926","funder_id":"https://openalex.org/F4320335921","funder_display_name":"Natural Science Foundation of Qinghai"},{"id":"https://openalex.org/G2910682248","display_name":null,"funder_award_id":"20192BAB207012","funder_id":"https://openalex.org/F4320322665","funder_display_name":"Natural Science Foundation of Jiangxi Province"},{"id":"https://openalex.org/G4992234739","display_name":null,"funder_award_id":"71740021","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6304666626","display_name":"\u56fe\u7684t-\u8272k-\u67d3\u8272\u6570\u7684\u7814\u7a76","funder_award_id":"11861034","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7325565365","display_name":null,"funder_award_id":"20YJA630059","funder_id":"https://openalex.org/F4320321106","funder_display_name":"Ministry of Education of the People's Republic of China"},{"id":"https://openalex.org/G8438139982","display_name":null,"funder_award_id":"2020-ZJ-Y16","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321106","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934"},{"id":"https://openalex.org/F4320322665","display_name":"Natural Science Foundation of Jiangxi Province","ror":null},{"id":"https://openalex.org/F4320327066","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892"},{"id":"https://openalex.org/F4320335921","display_name":"Natural Science Foundation of Qinghai","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3034664040.pdf","grobid_xml":"https://content.openalex.org/works/W3034664040.grobid-xml"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W908018526","https://openalex.org/W1125356756","https://openalex.org/W1458841637","https://openalex.org/W1971411293","https://openalex.org/W1974753394","https://openalex.org/W1979263640","https://openalex.org/W1996921169","https://openalex.org/W1997967425","https://openalex.org/W1998162620","https://openalex.org/W2004904307","https://openalex.org/W2008287346","https://openalex.org/W2012922394","https://openalex.org/W2017514540","https://openalex.org/W2018315808","https://openalex.org/W2031523830","https://openalex.org/W2033746600","https://openalex.org/W2036014629","https://openalex.org/W2039452213","https://openalex.org/W2050262998","https://openalex.org/W2053386082","https://openalex.org/W2067442047","https://openalex.org/W2068843436","https://openalex.org/W2079767857","https://openalex.org/W2081037298","https://openalex.org/W2085556122","https://openalex.org/W2085806531","https://openalex.org/W2089233315","https://openalex.org/W2091957041","https://openalex.org/W2093510909","https://openalex.org/W2113342360","https://openalex.org/W2116365436","https://openalex.org/W2134279276","https://openalex.org/W2161739267","https://openalex.org/W2167967165","https://openalex.org/W2184997100","https://openalex.org/W2238658759","https://openalex.org/W2271317061","https://openalex.org/W2404062815","https://openalex.org/W2527667439","https://openalex.org/W2533674553","https://openalex.org/W2570038283","https://openalex.org/W2658730089","https://openalex.org/W2734452893","https://openalex.org/W2762965914","https://openalex.org/W2765801959","https://openalex.org/W2778309520","https://openalex.org/W2887788777","https://openalex.org/W2888992950","https://openalex.org/W2965839923","https://openalex.org/W2981506493","https://openalex.org/W2982416429","https://openalex.org/W7034754160"],"related_works":["https://openalex.org/W2047025039","https://openalex.org/W4237248107","https://openalex.org/W2961724074","https://openalex.org/W2613305061","https://openalex.org/W2098652387","https://openalex.org/W2058398342","https://openalex.org/W2085844340","https://openalex.org/W2376867437","https://openalex.org/W2283534129","https://openalex.org/W2806814658"],"abstract_inverted_index":{"Based":[0],"on":[1,135],"the":[2,48,55,58,62,68,72,76,82,87,98,104,113,157,180,186,194,206,228,233],"idea":[3],"of":[4,11,64,78,142,182,210,232,241],"linear":[5],"programming":[6,92,124,145,161],"technique":[7],"for":[8,22,57,155,190,219],"multidimensional":[9],"analysis":[10],"preference":[12],"(LINMAP),":[13],"a":[14,89,119,140,197,213,239],"novel":[15],"three-phase":[16],"LINMAP":[17],"method":[18,215,235],"is":[19,94,126,202,216,236],"presented":[20],"here":[21],"solving":[23,156,220],"hybrid":[24,221],"multi-criteria":[25],"group":[26,207],"decision":[27,59,73,195],"making":[28],"(MCGDM)":[29],"with":[30,167,223],"dual":[31],"hesitant":[32],"fuzzy":[33],"(DHF)":[34],"truth":[35,225],"degrees":[36],"and":[37,53,71,75,85,112,131,137,139,170,188,193,227,230],"incomplete":[38],"criteria":[39,105],"weights":[40],"information.":[41],"Firstly,":[42],"by":[43,128,150,178],"simultaneously":[44],"taking":[45],"into":[46],"account":[47],"difference":[49,63,77],"between":[50,67,81],"each":[51,65,79,183],"alternative":[52,66,80,184],"all":[54,86],"others":[56],"maker":[60],"(DM),":[61],"individual":[69,83,191],"DM":[70,84,192],"group,":[74,196],"others,":[88],"tri-objective":[90],"nonlinear":[91,144],"model":[93,125,201],"created":[95],"to":[96,102,173,204],"determine":[97],"DMs'":[99],"weights.":[100],"Secondly,":[101],"derive":[103,205],"weights,":[106],"objective":[107,114],"positive":[108],"ideal":[109,116],"solution":[110,117],"(OPIS),":[111],"negative":[115],"(ONIS),":[118],"new":[120,214],"four-objective":[121,158],"DHF":[122,159,224],"mathematical":[123,160],"established":[127,149,203],"minimizing":[129,198],"inconsistency":[130],"maximizing":[132],"consistency":[133],"based":[134],"OPIS":[136,187],"ONIS,":[138],"pair":[141],"parametric":[143],"models":[146],"are":[147],"technically":[148],"unequal":[151],"weighted":[152],"summation":[153],"approach":[154],"model,":[162],"which":[163],"can":[164],"provide":[165],"DMs":[166],"more":[168],"agility":[169],"flexible":[171],"space":[172],"change":[174],"their":[175],"preference.":[176],"Thirdly,":[177],"considering":[179],"distances":[181],"from":[185],"ONIS":[189],"deviation":[199],"optimal":[200],"ranking":[208],"order":[209],"alternatives.":[211],"Finally,":[212],"put":[217],"forward":[218],"MCGDM":[222],"degrees,":[226],"validity":[229],"practicability":[231],"proposed":[234],"analyzed":[237],"through":[238],"case":[240],"water":[242],"quality":[243],"monitoring":[244],"system":[245],"(WQMS)":[246],"selection.":[247]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
