{"id":"https://openalex.org/W1137073519","doi":"https://doi.org/10.3233/ifs-151584","title":"Approaches to uncertain linguistic multiple attribute decision making based on dual Maclaurin symmetric mean","display_name":"Approaches to uncertain linguistic multiple attribute decision making based on dual Maclaurin symmetric mean","publication_year":2015,"publication_date":"2015-09-23","ids":{"openalex":"https://openalex.org/W1137073519","doi":"https://doi.org/10.3233/ifs-151584","mag":"1137073519"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-151584","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-151584","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy 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/A5068612384","display_name":"Jindong Qin","orcid":"https://orcid.org/0000-0002-6182-3815"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jindong Qin","raw_affiliation_strings":["School of Economics and Management, Southeast University, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048261783","display_name":"Xinwang Liu","orcid":"https://orcid.org/0000-0001-8230-8380"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xinwang Liu","raw_affiliation_strings":["School of Economics and Management, Southeast University, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5048261783"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":9.8771,"has_fulltext":false,"cited_by_count":74,"citation_normalized_percentile":{"value":0.98017222,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"29","issue":"1","first_page":"171","last_page":"186"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9876999855041504,"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"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9783999919891357,"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/operator","display_name":"Operator (biology)","score":0.7893182635307312},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.7176768779754639},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.58900386095047},{"id":"https://openalex.org/keywords/rule-based-machine-translation","display_name":"Rule-based machine translation","score":0.44552081823349},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4024331867694855},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3996732234954834},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.3818210959434509},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3710547089576721},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3209832012653351},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3009796738624573},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23716160655021667}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.7893182635307312},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.7176768779754639},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.58900386095047},{"id":"https://openalex.org/C53893814","wikidata":"https://www.wikidata.org/wiki/Q7378909","display_name":"Rule-based machine translation","level":2,"score":0.44552081823349},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4024331867694855},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3996732234954834},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.3818210959434509},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3710547089576721},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3209832012653351},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3009796738624573},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23716160655021667},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-151584","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-151584","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8100000023841858,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1580581679","https://openalex.org/W1963848659","https://openalex.org/W1965807097","https://openalex.org/W1967753042","https://openalex.org/W1970247042","https://openalex.org/W1970781361","https://openalex.org/W1976467948","https://openalex.org/W1976567794","https://openalex.org/W1978038284","https://openalex.org/W1984880160","https://openalex.org/W1987584801","https://openalex.org/W1988403082","https://openalex.org/W1992581695","https://openalex.org/W2001452963","https://openalex.org/W2004956772","https://openalex.org/W2013908206","https://openalex.org/W2017977229","https://openalex.org/W2019556174","https://openalex.org/W2024611132","https://openalex.org/W2026605718","https://openalex.org/W2034563113","https://openalex.org/W2038779958","https://openalex.org/W2040081743","https://openalex.org/W2040765468","https://openalex.org/W2045229968","https://openalex.org/W2049552194","https://openalex.org/W2049715594","https://openalex.org/W2051527699","https://openalex.org/W2053386082","https://openalex.org/W2061587067","https://openalex.org/W2065893491","https://openalex.org/W2067472336","https://openalex.org/W2074605814","https://openalex.org/W2076395105","https://openalex.org/W2096468420","https://openalex.org/W2099473634","https://openalex.org/W2121746824","https://openalex.org/W2123173515","https://openalex.org/W2134933192","https://openalex.org/W2157041604","https://openalex.org/W2162848031","https://openalex.org/W2167510151","https://openalex.org/W2327654222","https://openalex.org/W2335183739","https://openalex.org/W2547247972","https://openalex.org/W2993595388","https://openalex.org/W4245152641","https://openalex.org/W6771408406"],"related_works":["https://openalex.org/W2533318087","https://openalex.org/W1964660066","https://openalex.org/W2000227345","https://openalex.org/W2059367453","https://openalex.org/W2386767533","https://openalex.org/W2114851267","https://openalex.org/W2963205729","https://openalex.org/W1965553890","https://openalex.org/W2185584788","https://openalex.org/W1694303002"],"abstract_inverted_index":{"Abstract":[0],"The":[1,27],"Maclaurin":[2,52,87,97,108],"symmetric":[3,53,88,98,109],"mean":[4,10,54,89,99,110,177],"(MSM)":[5],"operator":[6,13,33,56,61,101,179],"is":[7,21,34,158,180],"a":[8,155,170],"classical":[9],"type":[11],"aggregation":[12,69],"used":[14],"in":[15,131],"modern":[16],"information":[17,78,151],"fusion":[18],"theory,":[19],"which":[20],"suitable":[22],"to":[23,62,122,143,160],"aggregate":[24],"numerical":[25,156],"values.":[26],"prominent":[28],"characteristic":[29],"of":[30,126,164],"the":[31,39,42,50,59,83,92,103,136,162,165],"MSM":[32],"that":[35],"it":[36],"can":[37],"capture":[38],"interrelationship":[40],"among":[41],"multi-input":[43],"arguments.":[44],"In":[45],"this":[46],"paper,":[47],"we":[48],"propose":[49],"dual":[51,86,96,107],"(DMSM)":[55],"and":[57,102,117,138,168],"extend":[58],"DMSM":[60,73],"accommodate":[63],"uncertain":[64,76,84,93,104,149,174],"linguistic":[65,77,85,94,105,150,175],"environment.":[66],"Some":[67],"new":[68],"operators":[70,128],"based":[71,134],"on":[72,135],"for":[74],"aggregating":[75],"are":[79,129,152],"developed,":[80],"such":[81],"as":[82],"(ULDMSM)":[90],"operator,":[91],"weighted":[95],"(ULWDMSM)":[100],"Choquet":[106],"(ULCDMSM)":[111],"operator.":[112],"Meanwhile,":[113],"some":[114],"desirable":[115],"properties":[116],"special":[118],"cases":[119],"with":[120,148,173],"respect":[121],"different":[123],"parameter":[124],"values":[125],"these":[127],"studied":[130],"detail.":[132],"Furthermore,":[133],"ULWDMSM":[137],"ULCDMSM":[139],"operators,":[140],"two":[141],"approaches":[142],"multiple":[144],"attribute":[145],"decision":[146],"making":[147],"developed.":[153],"Finally,":[154],"example":[157],"provided":[159],"illustrate":[161],"feasibility":[163],"proposed":[166],"methods":[167],"deliver":[169],"comparative":[171],"analysis":[172],"Bonferroni":[176],"(ULBM)":[178],"also":[181],"presented.":[182]},"counts_by_year":[{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":17},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":16},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}