{"id":"https://openalex.org/W2965276908","doi":"https://doi.org/10.1109/access.2019.2933457","title":"A Decision Making Model Based on Intuitionistic Multiplicative Preference Relations With Acceptable Consistency","display_name":"A Decision Making Model Based on Intuitionistic Multiplicative Preference Relations With Acceptable Consistency","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2965276908","doi":"https://doi.org/10.1109/access.2019.2933457","mag":"2965276908"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2933457","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2933457","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08789486.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/ielx7/6287639/8600701/08789486.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101654199","display_name":"Xuan Yang","orcid":"https://orcid.org/0000-0002-9974-3343"},"institutions":[{"id":"https://openalex.org/I90727586","display_name":"Zhejiang University of Finance and Economics","ror":"https://ror.org/055vj5234","country_code":"CN","type":"education","lineage":["https://openalex.org/I90727586"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuan Yang","raw_affiliation_strings":["Dongfang College, Zhejiang University of Finance and Economics, Haining, China","Dongfang College, Zhejiang University of Finance and Economics, Haining 314408, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dongfang College, Zhejiang University of Finance and Economics, Haining, China","institution_ids":["https://openalex.org/I90727586"]},{"raw_affiliation_string":"Dongfang College, Zhejiang University of Finance and Economics, Haining 314408, China","institution_ids":["https://openalex.org/I90727586"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069928262","display_name":"Zhou-Jing Wang","orcid":"https://orcid.org/0000-0001-5778-5855"},"institutions":[{"id":"https://openalex.org/I90727586","display_name":"Zhejiang University of Finance and Economics","ror":"https://ror.org/055vj5234","country_code":"CN","type":"education","lineage":["https://openalex.org/I90727586"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhou-Jing Wang","raw_affiliation_strings":["School of Information Management and Engineering, Zhejiang University of Finance and Economics, Hangzhou, China","School of Information Management and Engineering, Zhejiang University of Finance and Economics, Hangzhou 310018, China"],"raw_orcid":"https://orcid.org/0000-0001-5778-5855","affiliations":[{"raw_affiliation_string":"School of Information Management and Engineering, Zhejiang University of Finance and Economics, Hangzhou, China","institution_ids":["https://openalex.org/I90727586"]},{"raw_affiliation_string":"School of Information Management and Engineering, Zhejiang University of Finance and Economics, Hangzhou 310018, China","institution_ids":["https://openalex.org/I90727586"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5069928262"],"corresponding_institution_ids":["https://openalex.org/I90727586"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.3954,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.66953638,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"7","issue":null,"first_page":"109195","last_page":"109207"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9991999864578247,"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":0.9991999864578247,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9549999833106995,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9478999972343445,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.7716703414916992},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5932618379592896},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.5253440737724304},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48321330547332764},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4443495571613312},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.41022229194641113},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33614909648895264},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2759033739566803},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14538249373435974}],"concepts":[{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.7716703414916992},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5932618379592896},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.5253440737724304},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48321330547332764},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4443495571613312},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.41022229194641113},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33614909648895264},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2759033739566803},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14538249373435974},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2933457","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2933457","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08789486.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:f6415f2ee2ea491fa55ddc847cc87787","is_oa":true,"landing_page_url":"https://doaj.org/article/f6415f2ee2ea491fa55ddc847cc87787","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 7, Pp 109195-109207 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2933457","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2933457","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08789486.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":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7900000214576721}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2965276908.pdf","grobid_xml":"https://content.openalex.org/works/W2965276908.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W158950929","https://openalex.org/W1612840101","https://openalex.org/W1871214897","https://openalex.org/W1977311377","https://openalex.org/W1982675899","https://openalex.org/W1983069706","https://openalex.org/W2001482754","https://openalex.org/W2009990004","https://openalex.org/W2020221628","https://openalex.org/W2024919729","https://openalex.org/W2037585336","https://openalex.org/W2047161103","https://openalex.org/W2049117050","https://openalex.org/W2055892602","https://openalex.org/W2060706257","https://openalex.org/W2064156602","https://openalex.org/W2069403107","https://openalex.org/W2129521002","https://openalex.org/W2252951467","https://openalex.org/W2512038629","https://openalex.org/W2528793344","https://openalex.org/W2540265541","https://openalex.org/W2547978614","https://openalex.org/W2611537358","https://openalex.org/W2614110246","https://openalex.org/W2618591006","https://openalex.org/W2658730089","https://openalex.org/W2735438733","https://openalex.org/W2753383149","https://openalex.org/W2790076719","https://openalex.org/W2802867425","https://openalex.org/W2811345561","https://openalex.org/W2897005736","https://openalex.org/W2897176460","https://openalex.org/W2925806715","https://openalex.org/W2927336630","https://openalex.org/W2939464956","https://openalex.org/W2943109687","https://openalex.org/W2944712103","https://openalex.org/W6606411510"],"related_works":["https://openalex.org/W4318195686","https://openalex.org/W2975999359","https://openalex.org/W2135584473","https://openalex.org/W3119693376","https://openalex.org/W2796561647","https://openalex.org/W4280497496","https://openalex.org/W4313513739","https://openalex.org/W2969947121","https://openalex.org/W1997631083","https://openalex.org/W4220842692"],"abstract_inverted_index":{"Two":[0],"categories":[1],"of":[2,29,47,53,63,82,93,158,200],"hesitancy":[3,28,38,134],"often":[4],"exist":[5],"in":[6,21,131],"an":[7,22,40,104,122,155,189,203],"intuitionistic":[8,32,71,84,109,190],"multiplicative":[9,33,72,85,110,191],"preference":[10],"relation":[11],"(IMPR).":[12],"One":[13],"is":[14,27,75,96,140,151,165,177,195,209],"inconsistency":[15,51,156,199],"among":[16],"three":[17,225],"or":[18],"more":[19],"preferences":[20],"IMPR,":[23,124],"and":[24,49,65,77,106,145,173,202,222],"the":[25,101,116,125,133,137,146,159,180,186],"other":[26],"a":[30,59,80,128,143,169,229],"non-diagonal":[31],"judgment":[34,192],"itself.":[35],"Capturing":[36],"such":[37],"plays":[39],"important":[41],"role":[42],"for":[43,211],"deriving":[44],"priority":[45],"weights":[46],"IMPRs":[48,64,95,139],"measuring":[50],"degrees":[52],"IMPRs.":[54,216],"This":[55],"article":[56],"first":[57],"analyzes":[58],"recent":[60],"consistency":[61,120,208],"definition":[62],"reveals":[66],"its":[67,107,174],"deficiency.":[68],"A":[69,90],"normalized":[70,108],"weight":[73,86],"vector":[74],"introduced":[76],"utilized":[78],"as":[79,142],"benchmark":[81],"different":[83],"vectors":[87],"with":[88,119,205,215],"equivalency.":[89],"new":[91],"notion":[92],"consistent":[94],"then":[97],"proposed":[98],"by":[99,179,224],"building":[100],"link":[102],"between":[103,136],"IMPR":[105,118],"weights.":[111],"In":[112],"order":[113],"to":[114,121,153,197],"find":[115],"closest":[117],"original":[123,160],"paper":[126],"establishes":[127],"minimization":[129,163],"model,":[130],"which":[132],"difference":[135],"two":[138],"regarded":[141],"constraint":[144],"optimal":[147],"goal":[148],"function":[149],"value":[150],"used":[152],"determine":[154],"index":[157,194],"IMPR.":[161],"The":[162,217],"model":[164,172],"further":[166],"transformed":[167],"into":[168],"least":[170],"square":[171],"analytical":[175,187],"solution":[176],"discovered":[178],"Lagrangian":[181],"multiplier":[182],"method.":[183],"Based":[184],"on":[185],"solution,":[188],"based":[193],"devised":[196],"measure":[198],"IMPRs,":[201],"approach":[204],"checking":[206],"acceptable":[207],"developed":[210],"multi-criteria":[212,231],"decision":[213,232],"making":[214,233],"presented":[218],"models":[219],"are":[220],"illustrated":[221],"validated":[223],"numerical":[226],"examples":[227],"including":[228],"hierarchical":[230],"problem.":[234]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
