{"id":"https://openalex.org/W1991768339","doi":"https://doi.org/10.1108/20439371111106696","title":"Novel models of grey relational analysis based on visual angle of similarity and nearness","display_name":"Novel models of grey relational analysis based on visual angle of similarity and nearness","publication_year":2011,"publication_date":"2011-01-22","ids":{"openalex":"https://openalex.org/W1991768339","doi":"https://doi.org/10.1108/20439371111106696","mag":"1991768339"},"language":"en","primary_location":{"id":"doi:10.1108/20439371111106696","is_oa":false,"landing_page_url":"https://doi.org/10.1108/20439371111106696","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/A5070239285","display_name":"Sifeng Liu","orcid":"https://orcid.org/0000-0002-5872-9457"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Si\u2010feng Liu","raw_affiliation_strings":["College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066476486","display_name":"Naiming Xie","orcid":"https://orcid.org/0000-0002-7368-1746"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Nai\u2010ming Xie","raw_affiliation_strings":["College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040263855","display_name":"Jeffrey Yi\u2010Lin Forrest","orcid":"https://orcid.org/0000-0002-5124-9012"},"institutions":[{"id":"https://openalex.org/I169494899","display_name":"Slippery Rock University","ror":"https://ror.org/0369st156","country_code":"US","type":"education","lineage":["https://openalex.org/I169494899"]},{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jeffrey Forrest","raw_affiliation_strings":["Department of Mathematics, Slippery Rock University of Pennsylvania, Slippery Rock, Pennsylvania, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Slippery Rock University of Pennsylvania, Slippery Rock, Pennsylvania, USA","institution_ids":["https://openalex.org/I169494899","https://openalex.org/I79576946"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":27.5185,"has_fulltext":false,"cited_by_count":144,"citation_normalized_percentile":{"value":0.99793666,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"1","issue":"1","first_page":"8","last_page":"18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12368","display_name":"Grey System Theory Applications","score":0.9991000294685364,"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":0.9991000294685364,"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/T14262","display_name":"Extenics and Innovation Methods","score":0.9333999752998352,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/grey-relational-analysis","display_name":"Grey relational analysis","score":0.8930689692497253},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.8148355484008789},{"id":"https://openalex.org/keywords/visual-angle","display_name":"Visual angle","score":0.573251485824585},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5455651879310608},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5197243690490723},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4232727289199829},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.36594027280807495},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33594799041748047},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.21823349595069885},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20853382349014282}],"concepts":[{"id":"https://openalex.org/C64734493","wikidata":"https://www.wikidata.org/wiki/Q5608296","display_name":"Grey relational analysis","level":2,"score":0.8930689692497253},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.8148355484008789},{"id":"https://openalex.org/C200756006","wikidata":"https://www.wikidata.org/wiki/Q336092","display_name":"Visual angle","level":2,"score":0.573251485824585},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5455651879310608},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5197243690490723},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4232727289199829},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.36594027280807495},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33594799041748047},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.21823349595069885},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20853382349014282}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1108/20439371111106696","is_oa":false,"landing_page_url":"https://doi.org/10.1108/20439371111106696","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":27,"referenced_works":["https://openalex.org/W1488916133","https://openalex.org/W1971596385","https://openalex.org/W1977399321","https://openalex.org/W1985748052","https://openalex.org/W1999511227","https://openalex.org/W2001011072","https://openalex.org/W2002965046","https://openalex.org/W2005172419","https://openalex.org/W2020171140","https://openalex.org/W2021753533","https://openalex.org/W2022973010","https://openalex.org/W2029607960","https://openalex.org/W2033898119","https://openalex.org/W2037616148","https://openalex.org/W2050969152","https://openalex.org/W2057485050","https://openalex.org/W2061299688","https://openalex.org/W2064472023","https://openalex.org/W2065741878","https://openalex.org/W2065809795","https://openalex.org/W2075462430","https://openalex.org/W2097129935","https://openalex.org/W2106070231","https://openalex.org/W2115864222","https://openalex.org/W2124024979","https://openalex.org/W2145857789","https://openalex.org/W2149792172"],"related_works":["https://openalex.org/W2922097266","https://openalex.org/W2885480708","https://openalex.org/W2127238875","https://openalex.org/W2043277481","https://openalex.org/W2056239380","https://openalex.org/W2003821909","https://openalex.org/W2049612019","https://openalex.org/W4285212053","https://openalex.org/W2792710300","https://openalex.org/W1991768339"],"abstract_inverted_index":{"Abstract":[0],"Purpose":[1],"\u2013":[2,35,154,202,246],"The":[3,64,84,104,122,155,203,217,232,247,257],"purpose":[4],"of":[5,30,40,79,97,101,116,124,149,183,190,224,241,259],"this":[6,62],"paper":[7,208,248],"is":[8,89,109,131,172,192,266],"to":[9,92,112,140,174,212,238],"solve":[10],"the":[11,38,72,94,98,114,117,125,134,142,146,159,166,176,180,188,207,221],"problems":[12],"existing":[13],"in":[14,61,120,206,250,271],"traditional":[15,41,196],"grey":[16,23,42,47,50,55,85,105,150,162,167,197,254,272],"incidence":[17,24,43,48,52,57,87,107,151,163,168,198,255],"models":[18,25,74,127,136,164],"and":[19,32,54,66,145,179,187,220,264],"advance":[20],"several":[21],"new":[22,73,126,269],"based":[26],"on":[27,37],"visual":[28,77],"angle":[29,78],"similarity":[31,80],"nearness.":[33],"Design/methodology/approach":[34],"Based":[36],"definition":[39],"models,":[44,49],"two":[45,160,184,215,225,252],"novel":[46,161,253,260],"similar":[51,86],"model":[53,88,108,261],"close":[56,106,147,181,222],"model,":[58],"are":[59,128,137,262],"studied":[60,263],"paper.":[63],"interrelations":[65],"influence":[67],"can":[68,209,228,234],"be":[69,210,229,236],"measured":[70],"by":[71],"with":[75,195],"different":[76,185,226],"and/or":[81],"nearness,":[82],"respectively.":[83],"used":[90,110,211,237],"mainly":[91,111],"measure":[93,113],"similitude":[95,143,177,218],"degree":[96,144,148,178,182,219,223],"geometric":[99],"patterns":[100],"sequence":[102,118],"curves.":[103],"nearness":[115],"curves":[119],"space.":[121],"properties":[123,258],"discussed.":[129],"It":[130,171],"proved":[132],"that":[133,158],"proposed":[135],"simplified":[138],"methods":[139],"calculate":[141,175,213],"models.":[152,199,256],"Findings":[153],"results":[156],"show":[157],"satisfy":[165],"axiom":[169],"properly.":[170],"useful":[173],"sequences,":[186],"process":[189],"calculating":[191],"easier":[193],"than":[194,243],"Practical":[200],"implications":[201],"method":[204,233],"exposed":[205],"every":[214],"sequences.":[216],"sequences":[227,240],"given":[230],"out.":[231],"also":[235],"rank":[239],"more":[242],"two.":[244],"Originality/value":[245],"succeeds":[249],"constructing":[251],"it":[265],"undoubtedly":[267],"a":[268],"development":[270],"systems":[273],"theory.":[274]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":11},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":28}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}