{"id":"https://openalex.org/W2130388554","doi":"https://doi.org/10.1142/s0218488506004308","title":"A NOTE ON THE MINIMAL VARIABILITY OWA OPERATOR WEIGHTS","display_name":"A NOTE ON THE MINIMAL VARIABILITY OWA OPERATOR WEIGHTS","publication_year":2006,"publication_date":"2006-12-01","ids":{"openalex":"https://openalex.org/W2130388554","doi":"https://doi.org/10.1142/s0218488506004308","mag":"2130388554"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488506004308","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488506004308","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/A5062572464","display_name":"Dug Hun Hong","orcid":"https://orcid.org/0000-0001-8268-3551"},"institutions":[{"id":"https://openalex.org/I89440247","display_name":"Myongji University","ror":"https://ror.org/00s9dpb54","country_code":"KR","type":"education","lineage":["https://openalex.org/I89440247"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"DUG HUN HONG","raw_affiliation_strings":["Department of Mathematics, Myongji University, Yongin Kyunggido 449-728, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Myongji University, Yongin Kyunggido 449-728, South Korea","institution_ids":["https://openalex.org/I89440247"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062572464"],"corresponding_institution_ids":["https://openalex.org/I89440247"],"apc_list":null,"apc_paid":null,"fwci":3.37,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.9209655,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"06","first_page":"747","last_page":"752"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9980999827384949,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9980999827384949,"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/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/T11727","display_name":"Advanced Algebra and Logic","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6966476440429688},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6535483002662659},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6431916356086731},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4452880620956421},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.36014485359191895},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.290979266166687},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28560835123062134},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.0676368772983551},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.0627794861793518}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6966476440429688},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6535483002662659},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6431916356086731},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4452880620956421},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.36014485359191895},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.290979266166687},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28560835123062134},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0676368772983551},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0627794861793518},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218488506004308","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488506004308","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":"mag:2130388554","is_oa":false,"landing_page_url":"http://www.dbpia.co.kr/Journal/ArticleDetail/NODE01032343","pdf_url":null,"source":{"id":"https://openalex.org/S4306496591","display_name":"\ud55c\uad6d\uc9c0\ub2a5\uc2dc\uc2a4\ud15c\ud559\ud68c \ud559\uc220\ubc1c\ud45c \ub17c\ubb38\uc9d1","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"\ud55c\uad6d\uc9c0\ub2a5\uc2dc\uc2a4\ud15c\ud559\ud68c \ud559\uc220\ubc1c\ud45c \ub17c\ubb38\uc9d1","raw_type":null},{"id":"mag:2798986784","is_oa":false,"landing_page_url":"http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DJGHBY_2006_v17n2_499","pdf_url":null,"source":{"id":"https://openalex.org/S4210207363","display_name":"Journal of the Korean Data and Information Science Society","issn_l":"1598-9402","issn":["1598-9402"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4376882034","host_organization_name":"The Korean Data and Information Science Society (KDISS)","host_organization_lineage":["https://openalex.org/P4376882034"],"host_organization_lineage_names":["The Korean Data and Information Science Society (KDISS)"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Journal of the Korean Data and Information Science Society","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W234121659","https://openalex.org/W2038084659","https://openalex.org/W2045371359","https://openalex.org/W2055879680","https://openalex.org/W2060907774","https://openalex.org/W2147595926"],"related_works":["https://openalex.org/W2798986784","https://openalex.org/W1638582134","https://openalex.org/W234121659","https://openalex.org/W2000230548","https://openalex.org/W166554154","https://openalex.org/W2014290321","https://openalex.org/W2114352380","https://openalex.org/W2535259770","https://openalex.org/W2086003277","https://openalex.org/W2302891335","https://openalex.org/W2055879680","https://openalex.org/W2079094044","https://openalex.org/W2356331333","https://openalex.org/W2460693936","https://openalex.org/W2586212762","https://openalex.org/W1987650237","https://openalex.org/W2000377780","https://openalex.org/W3171511749","https://openalex.org/W2056745056","https://openalex.org/W2110253491"],"abstract_inverted_index":{"One":[0],"important":[1],"issue":[2],"in":[3],"the":[4,13,16,26,37,53],"theory":[5],"of":[6,15,34,52],"ordered":[7],"weighted":[8],"averaging":[9],"(OWA)":[10],"operators":[11],"is":[12],"determination":[14],"associated":[17],"weighting":[18,29],"vector.":[19],"Recently,":[20],"Full\u00e9r":[21],"and":[22],"Majlender":[23],"2":[24],"derived":[25],"minimal":[27],"variability":[28],"vector":[30],"for":[31,42],"any":[32],"level":[33],"orness":[35],"using":[36],"Kuhn-Tucker":[38],"second-order":[39],"sufficiency":[40],"conditions":[41],"optimality.":[43],"In":[44],"this":[45],"note,":[46],"we":[47],"give":[48],"a":[49],"new":[50],"proof":[51],"problem.":[54]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
