{"id":"https://openalex.org/W2884515547","doi":"https://doi.org/10.3233/jifs-18455","title":"A novel method for aggregating interval multiplicative comparison matrices and its application in ranking alternatives","display_name":"A novel method for aggregating interval multiplicative comparison matrices and its application in ranking alternatives","publication_year":2018,"publication_date":"2018-07-26","ids":{"openalex":"https://openalex.org/W2884515547","doi":"https://doi.org/10.3233/jifs-18455","mag":"2884515547"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-18455","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-18455","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/A5100336801","display_name":"Jing Li","orcid":"https://orcid.org/0000-0001-8171-8652"},"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":"Jing Li","raw_affiliation_strings":["School of Economics and Management, Southeast University, Nanjing, China"],"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/A5029749178","display_name":"Yulin Zhang","orcid":"https://orcid.org/0000-0003-1833-7456"},"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":"Yulin Zhang","raw_affiliation_strings":["School of Economics and Management, Southeast University, Nanjing, China"],"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/A5029749178"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":1.4822,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.84156991,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"35","issue":"3","first_page":"3675","last_page":"3684"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9968000054359436,"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":0.9968000054359436,"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/T13955","display_name":"Evaluation Methods in Various Fields","score":0.9314000010490417,"subfield":{"id":"https://openalex.org/subfields/2302","display_name":"Ecological Modeling"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14249","display_name":"Water Quality Monitoring and Analysis","score":0.9157000184059143,"subfield":{"id":"https://openalex.org/subfields/2311","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental 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":0.8611809611320496},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.777998685836792},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7082241773605347},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6268583536148071},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6031689643859863},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5892351865768433},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5675424933433533},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5087118744850159},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.4739691913127899},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.4681679904460907},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.42926883697509766},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40146002173423767},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29703328013420105},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20162740349769592},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0797758400440216}],"concepts":[{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.8611809611320496},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.777998685836792},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7082241773605347},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6268583536148071},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6031689643859863},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5892351865768433},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5675424933433533},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5087118744850159},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.4739691913127899},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.4681679904460907},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.42926883697509766},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40146002173423767},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29703328013420105},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20162740349769592},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0797758400440216},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-18455","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-18455","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":[{"id":"https://metadata.un.org/sdg/16","score":0.6299999952316284,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1501998469","https://openalex.org/W1612840101","https://openalex.org/W1962994586","https://openalex.org/W1979474742","https://openalex.org/W1987645937","https://openalex.org/W1988442031","https://openalex.org/W1997496968","https://openalex.org/W1997713472","https://openalex.org/W2000551300","https://openalex.org/W2012491224","https://openalex.org/W2017360547","https://openalex.org/W2021447029","https://openalex.org/W2025447782","https://openalex.org/W2041732575","https://openalex.org/W2046414928","https://openalex.org/W2052580728","https://openalex.org/W2055892602","https://openalex.org/W2060589859","https://openalex.org/W2060907774","https://openalex.org/W2073654225","https://openalex.org/W2087713365","https://openalex.org/W2088859895","https://openalex.org/W2116580356","https://openalex.org/W2127796445","https://openalex.org/W2155747427","https://openalex.org/W2165277360","https://openalex.org/W2171537782","https://openalex.org/W2220966032","https://openalex.org/W2253265267","https://openalex.org/W2365213353","https://openalex.org/W2512822650","https://openalex.org/W2521029923","https://openalex.org/W2540265541","https://openalex.org/W2562158000","https://openalex.org/W2564911344","https://openalex.org/W2581491322","https://openalex.org/W2591222206","https://openalex.org/W2611537358","https://openalex.org/W2734922802","https://openalex.org/W2756442192","https://openalex.org/W2769271276","https://openalex.org/W2788853942","https://openalex.org/W3142850553","https://openalex.org/W4242366549"],"related_works":["https://openalex.org/W4318195686","https://openalex.org/W2975999359","https://openalex.org/W4287173569","https://openalex.org/W2796561647","https://openalex.org/W4280497496","https://openalex.org/W178365807","https://openalex.org/W4313513739","https://openalex.org/W3119693376","https://openalex.org/W3182422617","https://openalex.org/W2041647433"],"abstract_inverted_index":{"Aggregating":[0],"individual":[1],"interval":[2,62,80,98],"multiplicative":[3,63,81,99],"comparison":[4,64,82,100],"matrices":[5,83,101],"(IMCMs)":[6,84,102],"and":[7,32,67,85,116,143,160],"then":[8,86],"ranking":[9,44,69,145],"all":[10],"the":[11,21,26,37,43,46,53,60,68,109,126,130,140,144,158,163],"alternatives":[12,47,147],"are":[13,103,154],"very":[14],"important":[15],"in":[16],"group":[17],"decision":[18],"making.":[19],"However,":[20],"traditional":[22],"methods":[23],"may":[24,48],"make":[25,59],"final":[27],"result":[28],"become":[29],"overall":[30],"average":[31],"does":[33],"not":[34],"always":[35],"satisfy":[36],"Pareto":[38],"optimal":[39],"axiom.":[40],"What\u2019s":[41],"more,":[42],"of":[45,146,162],"rely":[49],"on":[50],"parameter":[51],"or":[52],"possibility":[54],"degree.":[55],"In":[56],"order":[57],"to":[58,78,93,124,138,156],"aggregated":[61,127],"matrix":[65],"(IMCM)":[66],"more":[70],"reliable,":[71],"this":[72],"paper":[73],"develops":[74],"a":[75],"novel":[76],"method":[77,91,134],"aggregate":[79],"applies":[87],"logarithmic":[88,131],"least":[89,132],"squares":[90,133],"(LLSM)":[92,135],"rank":[94],"alternatives.":[95],"Firstly,":[96],"DMs\u2019":[97],"converted":[104],"into":[105],"two-dimensional":[106],"coordinates.":[107],"Next,":[108],"minimum":[110],"Euclidean":[111],"distance":[112],"model":[113],"is":[114,122,136],"constructed":[115],"plant":[117],"growth":[118],"simulation":[119],"algorithm":[120],"(PGSA)":[121],"applied":[123],"find":[125],"points.":[128],"Then":[129],"employed":[137],"derive":[139],"weight":[141],"vectors":[142],"can":[148],"be":[149],"obtained.":[150],"Finally,":[151],"numerical":[152],"examples":[153],"provided":[155],"show":[157],"advantage":[159],"efficiency":[161],"proposed":[164],"method.":[165]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}