{"id":"https://openalex.org/W2138237904","doi":"https://doi.org/10.1142/s0218488504002771","title":"FINITELY AND ABSOLUTELY NON IDEMPOTENT AGGREGATION OPERATORS","display_name":"FINITELY AND ABSOLUTELY NON IDEMPOTENT AGGREGATION OPERATORS","publication_year":2004,"publication_date":"2004-04-01","ids":{"openalex":"https://openalex.org/W2138237904","doi":"https://doi.org/10.1142/s0218488504002771","mag":"2138237904"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488504002771","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488504002771","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/A5030927162","display_name":"Roberto Ricci","orcid":"https://orcid.org/0000-0002-8938-0278"},"institutions":[{"id":"https://openalex.org/I159650629","display_name":"University of Sassari","ror":"https://ror.org/01bnjbv91","country_code":"IT","type":"education","lineage":["https://openalex.org/I159650629"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"ROBERTO GHISELLI RICCI","raw_affiliation_strings":["D.E.I.R., Universit\u00e0 di Sassari, 07100 Sassari, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D.E.I.R., Universit\u00e0 di Sassari, 07100 Sassari, Italy","institution_ids":["https://openalex.org/I159650629"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5030927162"],"corresponding_institution_ids":["https://openalex.org/I159650629"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.20524102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"02","first_page":"201","last_page":"217"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998999834060669,"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":0.9998999834060669,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9800999760627747,"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"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9746000170707703,"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/idempotence","display_name":"Idempotence","score":0.9171006679534912},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.7458012104034424},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6890586018562317},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6781373023986816},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.47490179538726807},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.41391319036483765},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3939393162727356},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3552210032939911},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.33812475204467773},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21646296977996826},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09807845950126648},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05374547839164734}],"concepts":[{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.9171006679534912},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7458012104034424},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6890586018562317},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6781373023986816},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.47490179538726807},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.41391319036483765},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3939393162727356},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3552210032939911},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.33812475204467773},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21646296977996826},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09807845950126648},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05374547839164734},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218488504002771","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488504002771","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:iris.unife.it:11392/1383817","is_oa":false,"landing_page_url":"http://hdl.handle.net/11392/1383817","pdf_url":null,"source":{"id":"https://openalex.org/S4306400369","display_name":"Institutional Research Information System University of Ferrara (University of Ferrara)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I201324441","host_organization_name":"University of Ferrara","host_organization_lineage":["https://openalex.org/I201324441"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unive.it:10278/5036517","is_oa":false,"landing_page_url":"https://hdl.handle.net/10278/5036517","pdf_url":null,"source":{"id":"https://openalex.org/S4306402336","display_name":"ARCA (Universit\u00e0 Ca' Foscari Venezia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149461666","host_organization_name":"Ca' Foscari University of Venice","host_organization_lineage":["https://openalex.org/I149461666"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6200000047683716,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W146747635","https://openalex.org/W1606108510","https://openalex.org/W1980079796","https://openalex.org/W2060878354","https://openalex.org/W2060907774","https://openalex.org/W2061034959","https://openalex.org/W2075167784","https://openalex.org/W2114065574","https://openalex.org/W2808650095","https://openalex.org/W4234672050","https://openalex.org/W4239877747"],"related_works":["https://openalex.org/W2962692142","https://openalex.org/W1771651560","https://openalex.org/W4300725361","https://openalex.org/W2386897142","https://openalex.org/W1605727975","https://openalex.org/W4232127999","https://openalex.org/W1640180556","https://openalex.org/W2753083100","https://openalex.org/W1584952351","https://openalex.org/W3122092647"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3],"the":[4,18,30,39],"problem":[5],"of":[6,11,32],"establishing":[7],"a":[8],"new":[9],"class":[10],"aggregation":[12],"operators,":[13],"which":[14,35],"are":[15,42,54],"close":[16],"to":[17],"averaging,":[19],"without":[20],"being":[21],"necessarily":[22],"idempotent.":[23],"An":[24],"axiomatic":[25],"approach":[26],"is":[27],"followed":[28],"through":[29],"definition":[31],"crucial":[33],"properties":[34],"characterize":[36],"these":[37],"aggregators,":[38],"mathematical":[40],"consequences":[41],"illustrated":[43],"and":[44],"many":[45],"examples":[46],"that":[47],"extend":[48],"some":[49],"important":[50],"classical":[51],"averaging":[52],"operators":[53],"shown.":[55]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2016-06-24T00:00:00"}