{"id":"https://openalex.org/W2980069644","doi":"https://doi.org/10.1109/fuzz-ieee.2019.8858908","title":"Distances between Interval-valued Fuzzy Sets Taking into Account the Width of the Intervals","display_name":"Distances between Interval-valued Fuzzy Sets Taking into Account the Width of the Intervals","publication_year":2019,"publication_date":"2019-06-01","ids":{"openalex":"https://openalex.org/W2980069644","doi":"https://doi.org/10.1109/fuzz-ieee.2019.8858908","mag":"2980069644"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2019.8858908","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2019.8858908","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10651/54654","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007012513","display_name":"Zdenko Tak\u00e1\u010d","orcid":"https://orcid.org/0000-0003-0767-4756"},"institutions":[{"id":"https://openalex.org/I110757952","display_name":"Slovak University of Technology in Bratislava","ror":"https://ror.org/0561ghm58","country_code":"SK","type":"education","lineage":["https://openalex.org/I110757952"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"Zdenko Takac","raw_affiliation_strings":["Institute of Information Engineering, Automation and Mathematics, Slovak University of Technology, Bratislava, Slovakia"],"affiliations":[{"raw_affiliation_string":"Institute of Information Engineering, Automation and Mathematics, Slovak University of Technology, Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085226753","display_name":"Javier Fern\u00e1ndez","orcid":"https://orcid.org/0000-0003-4427-3935"},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad Publica de Navarra","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Javier Fernandez","raw_affiliation_strings":["Department of Statistics, Universidad Publica de Navarra, Pamplona, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Universidad Publica de Navarra, Pamplona, Spain","institution_ids":["https://openalex.org/I175051016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001022240","display_name":"Javier Fumanal-Idocin","orcid":"https://orcid.org/0000-0002-0644-1355"},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad Publica de Navarra","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Javier Fumanal","raw_affiliation_strings":["Department of Statistics, Universidad Publica de Navarra, Pamplona, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Universidad Publica de Navarra, Pamplona, Spain","institution_ids":["https://openalex.org/I175051016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006086361","display_name":"C\u00e9dric Marco-Detchart","orcid":"https://orcid.org/0000-0002-4310-9060"},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad Publica de Navarra","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Cedric Marco-Detchart","raw_affiliation_strings":["Department of Statistics, Universidad Publica de Navarra, Pamplona, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Universidad Publica de Navarra, Pamplona, Spain","institution_ids":["https://openalex.org/I175051016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070267406","display_name":"In\u00e9s Couso","orcid":"https://orcid.org/0000-0002-1675-6203"},"institutions":[{"id":"https://openalex.org/I165339363","display_name":"Universidad de Oviedo","ror":"https://ror.org/006gksa02","country_code":"ES","type":"education","lineage":["https://openalex.org/I165339363"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ines Couso","raw_affiliation_strings":["Department of Estadistica e I.O D.M., Universidad de Oviedo, Oviedo, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Estadistica e I.O D.M., Universidad de Oviedo, Oviedo, Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053196020","display_name":"Gra\u00e7aliz Pereira Dimuro","orcid":"https://orcid.org/0000-0001-6986-9888"},"institutions":[{"id":"https://openalex.org/I126460647","display_name":"Universidade Federal do Rio Grande","ror":"https://ror.org/05hpfkn88","country_code":"BR","type":"education","lineage":["https://openalex.org/I126460647"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Gracaliz Dimuro","raw_affiliation_strings":["Centro de Ci\u00e9ncias Computacionais, Universidade Federal do Rio Grande, Rio Grande, Brazil"],"affiliations":[{"raw_affiliation_string":"Centro de Ci\u00e9ncias Computacionais, Universidade Federal do Rio Grande, Rio Grande, Brazil","institution_ids":["https://openalex.org/I126460647"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033482780","display_name":"H\u00e9lida Santos","orcid":"https://orcid.org/0000-0003-2994-2862"},"institutions":[{"id":"https://openalex.org/I126460647","display_name":"Universidade Federal do Rio Grande","ror":"https://ror.org/05hpfkn88","country_code":"BR","type":"education","lineage":["https://openalex.org/I126460647"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Helida Santos","raw_affiliation_strings":["Centro de Ci\u00e9ncias Computacionais, Universidade Federal do Rio Grande, Rio Grande, Brazil"],"affiliations":[{"raw_affiliation_string":"Centro de Ci\u00e9ncias Computacionais, Universidade Federal do Rio Grande, Rio Grande, Brazil","institution_ids":["https://openalex.org/I126460647"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049375194","display_name":"Humberto Bustince","orcid":"https://orcid.org/0000-0002-1279-6195"},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad Publica de Navarra","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Humberto Bustince","raw_affiliation_strings":["Department of Statistics, Universidad Publica de Navarra, Pamplona, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Universidad Publica de Navarra, Pamplona, Spain","institution_ids":["https://openalex.org/I175051016"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5007012513"],"corresponding_institution_ids":["https://openalex.org/I110757952"],"apc_list":null,"apc_paid":null,"fwci":0.6186,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73925627,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"58","issue":null,"first_page":"1","last_page":"6"},"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9896000027656555,"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/interval","display_name":"Interval (graph theory)","score":0.7677859663963318},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6578763723373413},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.64448082447052},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6293609142303467},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5847485065460205},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.48030680418014526},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.456460177898407},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.42246904969215393},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42185696959495544},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3461647629737854},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3250799775123596},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2040850818157196},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16376489400863647},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09163933992385864},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.060408324003219604}],"concepts":[{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7677859663963318},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6578763723373413},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.64448082447052},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6293609142303467},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5847485065460205},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.48030680418014526},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.456460177898407},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.42246904969215393},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42185696959495544},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3461647629737854},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3250799775123596},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2040850818157196},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16376489400863647},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09163933992385864},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.060408324003219604},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/fuzz-ieee.2019.8858908","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2019.8858908","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},{"id":"pmh:oai:digibuo.uniovi.es:10651/54654","is_oa":true,"landing_page_url":"http://hdl.handle.net/10651/54654","pdf_url":null,"source":{"id":"https://openalex.org/S4306402334","display_name":"Consultation of the Doctoral Thesis Database (TESEO) (Ministerio de Educaci\u00f3n, Cultura y Deporte)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801976130","host_organization_name":"Ministerio de Educaci\u00f3n Cultura y Deporte","host_organization_lineage":["https://openalex.org/I2801976130"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"mag:3037024435","is_oa":false,"landing_page_url":"https://jglobal.jst.go.jp/en/detail?JGLOBAL_ID=201902219597483757","pdf_url":null,"source":{"id":"https://openalex.org/S4306512817","display_name":"IEEE Conference Proceedings","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":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"IEEE Conference Proceedings","raw_type":null}],"best_oa_location":{"id":"pmh:oai:digibuo.uniovi.es:10651/54654","is_oa":true,"landing_page_url":"http://hdl.handle.net/10651/54654","pdf_url":null,"source":{"id":"https://openalex.org/S4306402334","display_name":"Consultation of the Doctoral Thesis Database (TESEO) (Ministerio de Educaci\u00f3n, Cultura y Deporte)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801976130","host_organization_name":"Ministerio de Educaci\u00f3n Cultura y Deporte","host_organization_lineage":["https://openalex.org/I2801976130"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.4300000071525574,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W177958661","https://openalex.org/W1788095458","https://openalex.org/W1978334434","https://openalex.org/W1981107087","https://openalex.org/W1988053196","https://openalex.org/W2007805591","https://openalex.org/W2014079765","https://openalex.org/W2033667126","https://openalex.org/W2042352139","https://openalex.org/W2056021265","https://openalex.org/W2068233430","https://openalex.org/W2074537354","https://openalex.org/W2078443809","https://openalex.org/W2105429025","https://openalex.org/W2120549556","https://openalex.org/W2123964448","https://openalex.org/W2125420252","https://openalex.org/W2132685025","https://openalex.org/W2282429601","https://openalex.org/W2602038294","https://openalex.org/W2848686488","https://openalex.org/W2883368008","https://openalex.org/W2886589496","https://openalex.org/W2929708549"],"related_works":["https://openalex.org/W2962692142","https://openalex.org/W1771651560","https://openalex.org/W2386897142","https://openalex.org/W4300725361","https://openalex.org/W1605727975","https://openalex.org/W4232127999","https://openalex.org/W2262032878","https://openalex.org/W4289976264","https://openalex.org/W3101572115","https://openalex.org/W2127270425"],"abstract_inverted_index":{"In":[0],"this":[1],"work":[2],"we":[3],"propose":[4],"a":[5],"new":[6],"axiomatic":[7],"definition":[8],"of":[9,21,41],"distance":[10],"between":[11],"interval-valued":[12],"fuzzy":[13],"sets":[14],"which":[15,36],"takes":[16],"into":[17],"account":[18],"the":[19,22],"width":[20],"membership":[23],"intervals":[24],"and":[25],"linear":[26],"orders.":[27,43],"We":[28],"discuss":[29],"some":[30],"construction":[31],"methods":[32],"using":[33],"aggregation":[34],"functions":[35],"are":[37],"defined":[38],"in":[39],"terms":[40],"admissible":[42]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}