{"id":"https://openalex.org/W2168404765","doi":"https://doi.org/10.1142/s0218488513500025","title":"ON COMPATIBILITY OF UNCERTAIN MULTIPLICATIVE LINGUISTIC PREFERENCE RELATIONS AND ITS APPLICATION TO GROUP DECISION MAKING","display_name":"ON COMPATIBILITY OF UNCERTAIN MULTIPLICATIVE LINGUISTIC PREFERENCE RELATIONS AND ITS APPLICATION TO GROUP DECISION MAKING","publication_year":2013,"publication_date":"2013-02-01","ids":{"openalex":"https://openalex.org/W2168404765","doi":"https://doi.org/10.1142/s0218488513500025","mag":"2168404765"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488513500025","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488513500025","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/A5005456443","display_name":"Ligang Zhou","orcid":"https://orcid.org/0000-0002-8512-6125"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"LIGANG ZHOU","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004641057","display_name":"Huayou Chen","orcid":"https://orcid.org/0000-0002-7312-0367"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"HUAYOU CHEN","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China","institution_ids":["https://openalex.org/I143868143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5004641057"],"corresponding_institution_ids":["https://openalex.org/I143868143"],"apc_list":null,"apc_paid":null,"fwci":3.3469,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.92702843,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"21","issue":"01","first_page":"9","last_page":"28"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9603000283241272,"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/T11223","display_name":"Maritime Ports and Logistics","score":0.941100001335144,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/multiplicative-function","display_name":"Multiplicative function","score":0.8089191913604736},{"id":"https://openalex.org/keywords/compatibility","display_name":"Compatibility (geochemistry)","score":0.7841986417770386},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5869994163513184},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.577185869216919},{"id":"https://openalex.org/keywords/preference-relation","display_name":"Preference relation","score":0.5099526643753052},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.46300414204597473},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.42962849140167236},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.40083274245262146},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2045387327671051},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.20080351829528809},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.1745513677597046},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08759978413581848}],"concepts":[{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.8089191913604736},{"id":"https://openalex.org/C2778648169","wikidata":"https://www.wikidata.org/wiki/Q967768","display_name":"Compatibility (geochemistry)","level":2,"score":0.7841986417770386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5869994163513184},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.577185869216919},{"id":"https://openalex.org/C2777062324","wikidata":"https://www.wikidata.org/wiki/Q25036211","display_name":"Preference relation","level":3,"score":0.5099526643753052},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.46300414204597473},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.42962849140167236},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.40083274245262146},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2045387327671051},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.20080351829528809},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.1745513677597046},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08759978413581848},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"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/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218488513500025","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488513500025","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":[{"display_name":"Peace, Justice and strong institutions","score":0.6899999976158142,"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":35,"referenced_works":["https://openalex.org/W279140054","https://openalex.org/W1966065860","https://openalex.org/W1967631404","https://openalex.org/W1968642553","https://openalex.org/W1971403896","https://openalex.org/W1973104643","https://openalex.org/W1976567794","https://openalex.org/W1979109952","https://openalex.org/W1982675899","https://openalex.org/W1993418540","https://openalex.org/W1993472498","https://openalex.org/W1993731375","https://openalex.org/W1995906594","https://openalex.org/W1997713472","https://openalex.org/W2000927263","https://openalex.org/W2006902036","https://openalex.org/W2012491224","https://openalex.org/W2024473012","https://openalex.org/W2034425874","https://openalex.org/W2038779958","https://openalex.org/W2041210202","https://openalex.org/W2041732575","https://openalex.org/W2056348485","https://openalex.org/W2057791961","https://openalex.org/W2063692924","https://openalex.org/W2065442155","https://openalex.org/W2088387889","https://openalex.org/W2099469179","https://openalex.org/W2127796445","https://openalex.org/W2138592508","https://openalex.org/W2143942821","https://openalex.org/W2145906330","https://openalex.org/W3081925372","https://openalex.org/W3142541398","https://openalex.org/W4255870372"],"related_works":["https://openalex.org/W4205262062","https://openalex.org/W2096290915","https://openalex.org/W2022533988","https://openalex.org/W2790208073","https://openalex.org/W2069750915","https://openalex.org/W2016410556","https://openalex.org/W1595663582","https://openalex.org/W3122913338","https://openalex.org/W2387196575","https://openalex.org/W2351322794"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,23,48,77,94,108,126,138,148,167],"this":[3],"work":[4],"is":[5,76,104],"to":[6,31,122],"develop":[7,145],"a":[8,98,162],"new":[9],"compatibility":[10,49,52,79,96,141],"for":[11,54],"the":[12,20,46,55,67,70,81,105,110,117,124,136,140,149,155,165],"uncertain":[13,40,57,72,84,111],"multiplicative":[14,41,58,85,112],"linguistic":[15,42,59,73,86,100,113],"preference":[16,43,60,74,87,101,114],"relations":[17,61,88,115],"and":[18,51],"determine":[19,123],"optimal":[21,132,150],"weights":[22,125,151,157],"decision":[24,35,127],"makers":[25],"(DMs),":[26],"which":[27,103],"are":[28,62,92],"very":[29],"suitable":[30],"deal":[32],"with":[33,97,154],"group":[34],"making":[36],"(GDM)":[37],"problems":[38],"involving":[39],"relations.":[44],"First,":[45],"concepts":[47],"degree":[50],"index":[53],"two":[56],"proposed.":[63],"Then":[64],"we":[65,129,144,160],"prove":[66],"property":[68],"that":[69,83],"synthetic":[71],"relation":[75],"acceptable":[78,95],"under":[80],"condition":[82],"given":[89],"by":[90],"DMs":[91],"all":[93],"specific":[99],"relation,":[102],"scientific":[106],"basis":[107],"using":[109],"in":[116,120],"GDM.":[118],"Next,":[119],"order":[121],"makers,":[128],"construct":[130],"an":[131,146],"model":[133],"based":[134],"on":[135],"criterion":[137],"minimizing":[139],"index.":[142],"Finally,":[143],"application":[147],"approach":[152,158],"compared":[153],"equal":[156],"where":[159],"analyze":[161],"GDM":[163],"regarding":[164],"selection":[166],"investment.":[168]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
