{"id":"https://openalex.org/W2022373133","doi":"https://doi.org/10.1002/(sici)1098-111x(199807)13:7<613::aid-int2>3.0.co;2-n","title":"Note on ranking fuzzy triangular numbers","display_name":"Note on ranking fuzzy triangular numbers","publication_year":1998,"publication_date":"1998-07-01","ids":{"openalex":"https://openalex.org/W2022373133","doi":"https://doi.org/10.1002/(sici)1098-111x(199807)13:7<613::aid-int2>3.0.co;2-n","mag":"2022373133"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1098-111x(199807)13:7<613::aid-int2>3.0.co;2-n","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1098-111x(199807)13:7<613::aid-int2>3.0.co;2-n","pdf_url":null,"source":{"id":"https://openalex.org/S57950554","display_name":"International Journal of Intelligent Systems","issn_l":"0884-8173","issn":["0884-8173","1098-111X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11380/607162","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048713106","display_name":"Gisella Facchinetti","orcid":"https://orcid.org/0000-0001-9914-8141"},"institutions":[{"id":"https://openalex.org/I122346577","display_name":"University of Modena and Reggio Emilia","ror":"https://ror.org/02d4c4y02","country_code":"IT","type":"education","lineage":["https://openalex.org/I122346577"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Gisella Facchinetti","raw_affiliation_strings":["Dipartimento di Economia Politica, Universita\u0300 degli Studi di Modena, 41100 Modena, Italy","Dipartimento di Economia Politica, Universit\u00e0 degli Studi di Modena, 41100 Modena, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Economia Politica, Universita\u0300 degli Studi di Modena, 41100 Modena, Italy","institution_ids":["https://openalex.org/I122346577"]},{"raw_affiliation_string":"Dipartimento di Economia Politica, Universit\u00e0 degli Studi di Modena, 41100 Modena, Italy","institution_ids":["https://openalex.org/I122346577"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030927162","display_name":"Roberto Ricci","orcid":"https://orcid.org/0000-0002-8938-0278"},"institutions":[{"id":"https://openalex.org/I122346577","display_name":"University of Modena and Reggio Emilia","ror":"https://ror.org/02d4c4y02","country_code":"IT","type":"education","lineage":["https://openalex.org/I122346577"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Roberto Ghiselli Ricci","raw_affiliation_strings":["Dipartimento di Economia Politica, Universita\u0300 degli Studi di Modena, 41100 Modena, Italy","Dipartimento di Economia Politica, Universit\u00e0 degli Studi di Modena, 41100 Modena, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Economia Politica, Universita\u0300 degli Studi di Modena, 41100 Modena, Italy","institution_ids":["https://openalex.org/I122346577"]},{"raw_affiliation_string":"Dipartimento di Economia Politica, Universit\u00e0 degli Studi di Modena, 41100 Modena, Italy","institution_ids":["https://openalex.org/I122346577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041089378","display_name":"Silvia Muzzioli","orcid":"https://orcid.org/0000-0003-0738-6690"},"institutions":[{"id":"https://openalex.org/I122346577","display_name":"University of Modena and Reggio Emilia","ror":"https://ror.org/02d4c4y02","country_code":"IT","type":"education","lineage":["https://openalex.org/I122346577"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Silvia Muzzioli","raw_affiliation_strings":["Dipartimento di Economia Politica, Universita\u0300 degli Studi di Modena, 41100 Modena, Italy","Dipartimento di Economia Politica, Universit\u00e0 degli Studi di Modena, 41100 Modena, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Economia Politica, Universita\u0300 degli Studi di Modena, 41100 Modena, Italy","institution_ids":["https://openalex.org/I122346577"]},{"raw_affiliation_string":"Dipartimento di Economia Politica, Universit\u00e0 degli Studi di Modena, 41100 Modena, Italy","institution_ids":["https://openalex.org/I122346577"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048713106"],"corresponding_institution_ids":["https://openalex.org/I122346577"],"apc_list":{"value":2500,"currency":"USD","value_usd":2500},"apc_paid":null,"fwci":2.3266,"has_fulltext":false,"cited_by_count":199,"citation_normalized_percentile":{"value":0.8804867,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"13","issue":"7","first_page":"613","last_page":"622"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9975000023841858,"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":0.9975000023841858,"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":0.919700026512146,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.7634837627410889},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.6812185049057007},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5470890998840332},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5103940367698669},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5013999938964844},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.4448699951171875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4399101734161377},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.42943286895751953},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4241785705089569},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.41533994674682617},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.35260769724845886},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1683140993118286}],"concepts":[{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.7634837627410889},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.6812185049057007},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5470890998840332},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5103940367698669},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5013999938964844},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.4448699951171875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4399101734161377},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.42943286895751953},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4241785705089569},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.41533994674682617},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.35260769724845886},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1683140993118286},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/(sici)1098-111x(199807)13:7<613::aid-int2>3.0.co;2-n","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1098-111x(199807)13:7<613::aid-int2>3.0.co;2-n","pdf_url":null,"source":{"id":"https://openalex.org/S57950554","display_name":"International Journal of Intelligent Systems","issn_l":"0884-8173","issn":["0884-8173","1098-111X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:iris.unimore.it:11380/607162","is_oa":true,"landing_page_url":"http://hdl.handle.net/11380/607162","pdf_url":null,"source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:iris.unimore.it:11380/607162","is_oa":true,"landing_page_url":"http://hdl.handle.net/11380/607162","pdf_url":null,"source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.8100000023841858,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3004397819","https://openalex.org/W1968370707","https://openalex.org/W2160831542","https://openalex.org/W2016989853","https://openalex.org/W2965279273","https://openalex.org/W3165592462","https://openalex.org/W2525314581","https://openalex.org/W2061828243","https://openalex.org/W2545016305","https://openalex.org/W2063980661"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,36],"the":[4,42],"problem":[5],"of":[6,10,28],"ranking":[7],"a":[8,26],"set":[9],"alternatives,":[11],"represented":[12],"by":[13],"triangular":[14],"fuzzy":[15],"numbers,":[16],"in":[17,41],"decision-making":[18],"situations.":[19],"Three":[20],"new":[21],"methods":[22,38],"are":[23],"proposed,":[24],"and":[25],"notion":[27],"preference":[29],"between":[30],"alternatives":[31],"is":[32,39],"suggested.":[33],"A":[34],"comparison":[35],"other":[37],"provided":[40],"concluding":[43],"table.":[44],"\u00a9":[45],"1998":[46],"John":[47],"Wiley":[48],"&":[49],"Sons,":[50],"Inc.":[51]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":13},{"year":2012,"cited_by_count":6}],"updated_date":"2026-07-13T07:31:44.756512","created_date":"2025-10-10T00:00:00"}
