{"id":"https://openalex.org/W2073201959","doi":"https://doi.org/10.1142/s0218488502001752","title":"CORRELATION OF FUZZY NUMBERS BY \u03b1-CUT METHOD","display_name":"CORRELATION OF FUZZY NUMBERS BY \u03b1-CUT METHOD","publication_year":2002,"publication_date":"2002-12-01","ids":{"openalex":"https://openalex.org/W2073201959","doi":"https://doi.org/10.1142/s0218488502001752","mag":"2073201959"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488502001752","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488502001752","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/A5111740439","display_name":"Wen\u2010Liang Hung","orcid":null},"institutions":[{"id":"https://openalex.org/I4210154699","display_name":"National Hsinchu University of Education","ror":"https://ror.org/05prep819","country_code":"TW","type":"education","lineage":["https://openalex.org/I4210154699"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"WEN-LIANG HUNG","raw_affiliation_strings":["Department of Mathematics Education,  National Hsinchu Teachers College, Hsin-Chu,  Taiwan, R.O.C","Department of Mathematics Education, National Hsinchu Teachers College, Hsin-Chu, Taiwan, R.O.C.#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education,  National Hsinchu Teachers College, Hsin-Chu,  Taiwan, R.O.C","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics Education, National Hsinchu Teachers College, Hsin-Chu, Taiwan, R.O.C.#TAB#","institution_ids":["https://openalex.org/I4210154699"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009355983","display_name":"Jong\u2010Wuu Wu","orcid":"https://orcid.org/0000-0002-0721-0209"},"institutions":[{"id":"https://openalex.org/I107470533","display_name":"Tamkang University","ror":"https://ror.org/04tft4718","country_code":"TW","type":"education","lineage":["https://openalex.org/I107470533"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"JONG-WUU WU","raw_affiliation_strings":["Department of Statistics, Tamkang University,  Tamsui, Taipei, Taiwan, R.O.C","Department of Statistics , Tamkang University , Tamsui, Taipei, Taiwan (R.O.C)"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Tamkang University,  Tamsui, Taipei, Taiwan, R.O.C","institution_ids":[]},{"raw_affiliation_string":"Department of Statistics , Tamkang University , Tamsui, Taipei, Taiwan (R.O.C)","institution_ids":["https://openalex.org/I107470533"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111740439"],"corresponding_institution_ids":["https://openalex.org/I4210154699"],"apc_list":null,"apc_paid":null,"fwci":0.4632,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68666577,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"10","issue":"06","first_page":"725","last_page":"735"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994000196456909,"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":0.9994000196456909,"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":0.998199999332428,"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":0.9819999933242798,"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/mathematics","display_name":"Mathematics","score":0.8139881491661072},{"id":"https://openalex.org/keywords/correlation-coefficient","display_name":"Correlation coefficient","score":0.6628623008728027},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.660849392414093},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6055485010147095},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.600425660610199},{"id":"https://openalex.org/keywords/correlation","display_name":"Correlation","score":0.5984815359115601},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.575858473777771},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.46483752131462097},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.446214497089386},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.38222792744636536},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1889038383960724},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13900431990623474},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12456896901130676},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.08043327927589417},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06654155254364014}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8139881491661072},{"id":"https://openalex.org/C2780092901","wikidata":"https://www.wikidata.org/wiki/Q3433612","display_name":"Correlation coefficient","level":2,"score":0.6628623008728027},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.660849392414093},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6055485010147095},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.600425660610199},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.5984815359115601},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.575858473777771},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.46483752131462097},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.446214497089386},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.38222792744636536},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1889038383960724},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13900431990623474},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12456896901130676},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.08043327927589417},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06654155254364014}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218488502001752","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488502001752","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"},{"id":"pmh:oai:tkuir.lib.tku.edu.tw:987654321/20693","is_oa":false,"landing_page_url":"https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/20693","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.44999998807907104}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W219433537","https://openalex.org/W1964749350","https://openalex.org/W1971341559","https://openalex.org/W1980564456","https://openalex.org/W1990810406","https://openalex.org/W2006727531","https://openalex.org/W2039792815","https://openalex.org/W2053211464","https://openalex.org/W2057131692","https://openalex.org/W2065942227","https://openalex.org/W2068402605","https://openalex.org/W2076808107","https://openalex.org/W2092958951","https://openalex.org/W2124970246"],"related_works":["https://openalex.org/W2372194214","https://openalex.org/W3081640970","https://openalex.org/W4200439127","https://openalex.org/W2021013714","https://openalex.org/W2412250669","https://openalex.org/W2359856669","https://openalex.org/W1488551807","https://openalex.org/W2560331580","https://openalex.org/W2004222917","https://openalex.org/W4253009869"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,64],"propose":[4],"a":[5],"method":[6,68],"to":[7,69],"calculate":[8],"the":[9,29,34,40,58,61,66,76,85],"correlation":[10,77],"coefficient":[11,78],"of":[12,17,31,60,75],"fuzzy":[13,35,41,71,81],"numbers":[14,42,82],"by":[15],"means":[16],"\"\u03b1-cut\".":[18],"This":[19,48],"value":[20,74],"obtained":[21],"from":[22,91],"our":[23,92],"formula":[24],"tells":[25],"us":[26],"not":[27],"only":[28,56],"strength":[30,59],"relationship":[32],"between":[33,79],"numbers,":[36],"but":[37],"also":[38],"whether":[39],"are":[43],"positively":[44],"or":[45],"negatively":[46],"related.":[47],"approach":[49],"looks":[50],"better":[51],"than":[52],"previous":[53],"methods":[54],"which":[55],"evaluate":[57],"relation.":[62],"Furthermore,":[63],"extend":[65],"\"\u03b1-cut\"":[67],"interval-valued":[70,80],"numbers.":[72],"The":[73],"lies":[83],"in":[84],"interval":[86],"[-1,":[87],"1],":[88],"as":[89],"computed":[90],"formula.":[93]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-17T09:09:15.849793","created_date":"2025-10-10T00:00:00"}