{"id":"https://openalex.org/W3158500580","doi":"https://doi.org/10.1108/gs-09-2020-0120","title":"Matrix form of interval multivariable gray model and its application","display_name":"Matrix form of interval multivariable gray model and its application","publication_year":2021,"publication_date":"2021-05-03","ids":{"openalex":"https://openalex.org/W3158500580","doi":"https://doi.org/10.1108/gs-09-2020-0120","mag":"3158500580"},"language":"en","primary_location":{"id":"doi:10.1108/gs-09-2020-0120","is_oa":false,"landing_page_url":"https://doi.org/10.1108/gs-09-2020-0120","pdf_url":null,"source":{"id":"https://openalex.org/S4210188239","display_name":"Grey Systems Theory and Application","issn_l":"2043-9377","issn":["2043-9377","2043-9385"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319811","host_organization_name":"Emerald Publishing Limited","host_organization_lineage":["https://openalex.org/P4310319811"],"host_organization_lineage_names":["Emerald Publishing Limited"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Grey Systems: Theory and Application","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/A5049585040","display_name":"Sandang Guo","orcid":"https://orcid.org/0000-0002-4176-9399"},"institutions":[{"id":"https://openalex.org/I4750791","display_name":"Henan Agricultural University","ror":"https://ror.org/04eq83d71","country_code":"CN","type":"education","lineage":["https://openalex.org/I4750791"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sandang Guo","raw_affiliation_strings":["College of Information and Management Science, Henan Agricultural University, Zhengzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-4176-9399","affiliations":[{"raw_affiliation_string":"College of Information and Management Science, Henan Agricultural University, Zhengzhou, China","institution_ids":["https://openalex.org/I4750791"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066839230","display_name":"Yaqian Jing","orcid":"https://orcid.org/0000-0002-3732-9729"},"institutions":[{"id":"https://openalex.org/I4750791","display_name":"Henan Agricultural University","ror":"https://ror.org/04eq83d71","country_code":"CN","type":"education","lineage":["https://openalex.org/I4750791"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaqian Jing","raw_affiliation_strings":["College of Information and Management Science, Henan Agricultural University, Zhengzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-3732-9729","affiliations":[{"raw_affiliation_string":"College of Information and Management Science, Henan Agricultural University, Zhengzhou, China","institution_ids":["https://openalex.org/I4750791"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101530081","display_name":"Bingjun Li","orcid":"https://orcid.org/0000-0002-6239-4127"},"institutions":[{"id":"https://openalex.org/I4750791","display_name":"Henan Agricultural University","ror":"https://ror.org/04eq83d71","country_code":"CN","type":"education","lineage":["https://openalex.org/I4750791"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bingjun Li","raw_affiliation_strings":["College of Information and Management Science, Henan Agricultural University, Zhengzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-6239-4127","affiliations":[{"raw_affiliation_string":"College of Information and Management Science, Henan Agricultural University, Zhengzhou, China","institution_ids":["https://openalex.org/I4750791"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4750791"],"apc_list":null,"apc_paid":null,"fwci":0.3586,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.62111782,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"12","issue":"2","first_page":"318","last_page":"338"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12368","display_name":"Grey System Theory Applications","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/T12368","display_name":"Grey System Theory Applications","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"}}],"keywords":[{"id":"https://openalex.org/keywords/gray","display_name":"Gray (unit)","score":0.8287419676780701},{"id":"https://openalex.org/keywords/multivariable-calculus","display_name":"Multivariable calculus","score":0.7676306962966919},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5357818603515625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45278993248939514},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4380037784576416},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36249637603759766},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16971513628959656},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09408506751060486},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07280761003494263}],"concepts":[{"id":"https://openalex.org/C166275286","wikidata":"https://www.wikidata.org/wiki/Q190095","display_name":"Gray (unit)","level":2,"score":0.8287419676780701},{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.7676306962966919},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5357818603515625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45278993248939514},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4380037784576416},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36249637603759766},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16971513628959656},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09408506751060486},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07280761003494263},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1108/gs-09-2020-0120","is_oa":false,"landing_page_url":"https://doi.org/10.1108/gs-09-2020-0120","pdf_url":null,"source":{"id":"https://openalex.org/S4210188239","display_name":"Grey Systems Theory and Application","issn_l":"2043-9377","issn":["2043-9377","2043-9385"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319811","host_organization_name":"Emerald Publishing Limited","host_organization_lineage":["https://openalex.org/P4310319811"],"host_organization_lineage_names":["Emerald Publishing Limited"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Grey Systems: Theory and Application","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W157832150","https://openalex.org/W773919218","https://openalex.org/W1789813810","https://openalex.org/W1971596385","https://openalex.org/W2030005611","https://openalex.org/W2039853520","https://openalex.org/W2075234505","https://openalex.org/W2363860269","https://openalex.org/W2514702643","https://openalex.org/W2522571449","https://openalex.org/W2760834527","https://openalex.org/W2761946372","https://openalex.org/W2809888423","https://openalex.org/W2944218799","https://openalex.org/W2976176382","https://openalex.org/W2989737591","https://openalex.org/W3002256864"],"related_works":["https://openalex.org/W1576377477","https://openalex.org/W2224575301","https://openalex.org/W2721687755","https://openalex.org/W2086932047","https://openalex.org/W2388146630","https://openalex.org/W418212511","https://openalex.org/W1964208669","https://openalex.org/W2112363989","https://openalex.org/W13811253","https://openalex.org/W2099048101"],"abstract_inverted_index":{"Purpose":[0],"The":[1,106,125,206],"purpose":[2],"of":[3,27,64,102,152,164,176,193,209,232,252,255,262,288,293,296],"this":[4,46,210],"paper":[5,211],"is":[6,34,54,88,108,212,267,302],"to":[7,12,36,98,110,145,160,198,213,238,248,269,284,305],"make":[8,199],"multivariable":[9,29,65,85,218,264],"gray":[10,20,30,42,52,66,77,86,156,195,219,241,257,265,274,282],"model":[11,31,67,87,107,131,170,266,279],"be":[13],"available":[14],"for":[15,202],"the":[16,24,50,62,75,83,100,129,146,154,168,174,223,226,259,278,286,299,307],"application":[17],"on":[18,74,187],"interval":[19,28,41,51,84,155,194,217,233,240,256,263,273],"number":[21,43,53,242],"sequences":[22,44,243],"directly,":[23],"matrix":[25,71,260],"form":[26,261],"(IMGM(1,m,k)":[32],"model)":[33],"constructed":[35],"simulate":[37,111,270],"and":[38,61,79,93,112,121,135,149,190,229,235,271,309],"forecast":[39,272],"original":[40,165],"in":[45,70],"paper.":[47],"Design/methodology/approach":[48],"Firstly,":[49],"regarded":[55],"as":[56],"a":[57,215],"three-dimensional":[58],"column":[59],"vector,":[60],"parameters":[63,177,289],"are":[68,95,158],"expressed":[69],"form.":[72],"Based":[73],"dynamic":[76,281],"action":[78,283],"optimized":[80],"background":[81],"value,":[82,115],"constructed.":[89],"Finally,":[90],"two":[91,140],"examples":[92],"comparisons":[94],"carried":[96],"out":[97],"verify":[99],"effectiveness":[101],"IMGM(1,m,k)":[103,169],"model.":[104],"Findings":[105],"applied":[109],"predict":[113],"expert":[114],"foreign":[116],"direct":[117],"investment,":[118],"automobile":[119],"sales":[120],"steel":[122],"output,":[123],"respectively.":[124],"results":[126],"show":[127],"that":[128],"proposed":[130],"has":[132],"better":[133,200],"simulation":[134],"prediction":[136],"performance":[137],"than":[138],"another":[139],"models.":[141],"Practical":[142],"implications":[143],"Due":[144],"uncertainty":[147],"information":[148,163,186],"continuous":[150],"changing":[151,178],"reality,":[153],"numbers":[157,196,234],"used":[159,304],"characterize":[161],"full":[162],"data.":[166],"And":[167],"not":[171,237],"only":[172],"considers":[173,222],"characteristics":[175,251],"with":[179],"time":[180],"but":[181],"also":[182],"takes":[183],"into":[184,244],"account":[185],"lower,":[188,227],"middle":[189,228],"upper":[191,230],"bounds":[192,231],"simultaneously":[197],"suitable":[201],"practical":[203],"application.":[204],"Originality/value":[205],"main":[207],"contribution":[208],"propose":[214],"new":[216],"model,":[220],"which":[221],"interaction":[224],"between":[225],"need":[236],"transform":[239],"real":[245],"sequences.":[246],"According":[247],"combining":[249],"different":[250],"each":[253],"bound":[254],"numbers,":[258],"established":[268],"numbers.":[275],"In":[276],"addition,":[277],"introduces":[280],"reflect":[285],"changes":[287],"over":[290],"time.":[291],"Instead":[292],"white":[294],"equation":[295,301],"classic":[297],"MGM(1,m),":[298],"difference":[300],"directly":[303],"solve":[306],"simulated":[308],"predicted":[310],"values.":[311]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
