{"id":"https://openalex.org/W1972136707","doi":"https://doi.org/10.1142/s0218488500000290","title":"GENERATION OF WEIGHTING TRIANGLES ASSOCIATED WITH AGGREGATION FUNCTIONS","display_name":"GENERATION OF WEIGHTING TRIANGLES ASSOCIATED WITH AGGREGATION FUNCTIONS","publication_year":2000,"publication_date":"2000-08-01","ids":{"openalex":"https://openalex.org/W1972136707","doi":"https://doi.org/10.1142/s0218488500000290","mag":"1972136707"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488500000290","doi":"https://doi.org/10.1142/s0218488500000290","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488500000290","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,"listed_in":["anvur-scientific","ccf-c","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"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"},"volume":null,"type":"article","is_traditional":true,"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/A5087152917","display_name":"Tomasa Calvo","orcid":"https://orcid.org/0000-0002-2377-0863","observed_orcids":["https://orcid.org/0000-0002-2377-0863"]},"institutions":[{"id":"https://openalex.org/I50441567","display_name":"Universitat de les Illes Balears","ror":"https://ror.org/03e10x626","country_code":"ES","type":"education","lineage":["https://openalex.org/I50441567"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"T. CALVO","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of the Balearic Islands, Ctra. de Valldemossa, km 7.5, Palma de Mallorca, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of the Balearic Islands, Ctra. de Valldemossa, km 7.5, Palma de Mallorca, Spain","institution_ids":["https://openalex.org/I50441567"]}]},{"author_position":"middle","author":{"id":null,"display_name":"G. MAYOR","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I50441567","display_name":"Universitat de les Illes Balears","ror":"https://ror.org/03e10x626","country_code":"ES","type":"education","lineage":["https://openalex.org/I50441567"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"G. MAYOR","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of the Balearic Islands, Ctra. de Valldemossa, km 7.5, Palma de Mallorca, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of the Balearic Islands, Ctra. de Valldemossa, km 7.5, Palma de Mallorca, Spain","institution_ids":["https://openalex.org/I50441567"]}]},{"author_position":"middle","author":{"id":null,"display_name":"J. TORRENS","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I50441567","display_name":"Universitat de les Illes Balears","ror":"https://ror.org/03e10x626","country_code":"ES","type":"education","lineage":["https://openalex.org/I50441567"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. TORRENS","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of the Balearic Islands, Ctra. de Valldemossa, km 7.5, Palma de Mallorca, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of the Balearic Islands, Ctra. de Valldemossa, km 7.5, Palma de Mallorca, Spain","institution_ids":["https://openalex.org/I50441567"]}]},{"author_position":"middle","author":{"id":null,"display_name":"J. SU\u00d1ER","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I50441567","display_name":"Universitat de les Illes Balears","ror":"https://ror.org/03e10x626","country_code":"ES","type":"education","lineage":["https://openalex.org/I50441567"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. SU\u00d1ER","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of the Balearic Islands, Ctra. de Valldemossa, km 7.5, Palma de Mallorca, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of the Balearic Islands, Ctra. de Valldemossa, km 7.5, Palma de Mallorca, Spain","institution_ids":["https://openalex.org/I50441567"]}]},{"author_position":"middle","author":{"id":null,"display_name":"M. MAS","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I50441567","display_name":"Universitat de les Illes Balears","ror":"https://ror.org/03e10x626","country_code":"ES","type":"education","lineage":["https://openalex.org/I50441567"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. MAS","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of the Balearic Islands, Ctra. de Valldemossa, km 7.5, Palma de Mallorca, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of the Balearic Islands, Ctra. de Valldemossa, km 7.5, Palma de Mallorca, Spain","institution_ids":["https://openalex.org/I50441567"]}]},{"author_position":"last","author":{"id":null,"display_name":"M. CARBONELL","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I50441567","display_name":"Universitat de les Illes Balears","ror":"https://ror.org/03e10x626","country_code":"ES","type":"education","lineage":["https://openalex.org/I50441567"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. CARBONELL","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of the Balearic Islands, Ctra. de Valldemossa, km 7.5, Palma de Mallorca, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of the Balearic Islands, Ctra. de Valldemossa, km 7.5, Palma de Mallorca, Spain","institution_ids":["https://openalex.org/I50441567"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087152917"],"corresponding_institution_ids":["https://openalex.org/I50441567"],"apc_list":null,"apc_paid":null,"fwci":3.0673,"has_fulltext":false,"cited_by_count":58,"citation_normalized_percentile":{"value":0.89851325,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":99},"biblio":{"volume":"08","issue":"04","first_page":"417","last_page":"451"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.5038999915122986,"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":0.5038999915122986,"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":0.43849998712539673,"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"}},{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.010400000028312206,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/aggregation-operators","display_name":"aggregation operators","score":0.9229999780654907},{"id":"https://openalex.org/keywords/quantifiers","display_name":"quantifiers","score":0.9039999842643738},{"id":"https://openalex.org/keywords/fractal-structure","display_name":"fractal structure","score":0.8420000076293945},{"id":"https://openalex.org/keywords/sequences","display_name":"sequences","score":0.6520000100135803},{"id":"https://openalex.org/keywords/orness","display_name":"orness","score":0.8019999861717224}],"concepts":[{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.9166041016578674},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.7455371618270874},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6411898136138916},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6190528273582458},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5572575926780701},{"id":"https://openalex.org/C70136482","wikidata":"https://www.wikidata.org/wiki/Q13583781","display_name":"A-weighting","level":3,"score":0.5427477955818176},{"id":"https://openalex.org/C2778523021","wikidata":"https://www.wikidata.org/wiki/Q5532504","display_name":"Quantifier (linguistics)","level":2,"score":0.5377168655395508},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4518943130970001},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.4317924380302429},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4287245273590088},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28554198145866394},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13806939125061035},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0918707549571991},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.052528321743011475},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218488500000290","doi":"https://doi.org/10.1142/s0218488500000290","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488500000290","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,"listed_in":["anvur-scientific","ccf-c","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"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":"doi:10.1016/s0218-4885(00)00029-0","doi":"https://doi.org/10.1016/s0218-4885(00)00029-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0218-4885(00)00029-0","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,"listed_in":["anvur-scientific","ccf-c","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"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"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1988442031","https://openalex.org/W1996874990","https://openalex.org/W2031441101","https://openalex.org/W2052236553","https://openalex.org/W2060907774","https://openalex.org/W2121651028","https://openalex.org/W2126970740","https://openalex.org/W2145533960","https://openalex.org/W2339378878"],"related_works":["https://openalex.org/W2480295102","https://openalex.org/W2379028007","https://openalex.org/W4408055362","https://openalex.org/W3173273952","https://openalex.org/W2055879680","https://openalex.org/W2059365140","https://openalex.org/W2122981440","https://openalex.org/W2041084175","https://openalex.org/W2159645328","https://openalex.org/W2301100584"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3,71,88,105,129],"present":[4,72],"several":[5],"ways":[6],"to":[7,15],"obtain":[8],"different":[9,73],"types":[10,17],"of":[11,22,38,77,82,92,94,112,117],"weighting":[12,61,78,96],"triangles,":[13],"due":[14],"these":[16,118],"characterize":[18],"some":[19,107,133],"interesting":[20,134],"properties":[21],"Extended":[23,30,55],"Ordered":[24],"Weighted":[25,32],"Averaging":[26],"operators,":[27],"EOWA,":[28],"and":[29,84,128],"Quasi-linear":[31],"Mean,":[33],"EQLWM,":[34],"as":[35,37,120],"well":[36],"their":[39,124],"reverse":[40],"functions.":[41],"We":[42],"show":[43],"that":[44],"any":[45],"quantifier":[46,66],"determines":[47],"an":[48,54,100],"EOWA":[49,101,126],"operator":[50],"which":[51],"is":[52,67],"also":[53],"Aggregation":[56],"Function,":[57],"EAF,":[58],"i.e.,":[59],"the":[60,131],"triangle":[62,97],"generated":[63],"by":[64,80],"a":[65,90,95],"always":[68],"regular.":[69],"Moreover,":[70],"results":[74,108],"about":[75],"generation":[76],"triangles":[79,119,121],"means":[81],"sequences":[83],"fractal":[85],"structures.":[86],"Finally,":[87],"introduce":[89],"degree":[91],"orness":[93],"associated":[98,122],"with":[99,123],"operator.":[102],"After":[103],"that,":[104],"mention":[106],"on":[109],"each":[110,115],"class":[111],"triangle,":[113],"considering":[114],"one":[116],"corresponding":[125],"operator,":[127],"calculate":[130],"ornessof":[132],"examples.":[135]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}
