{"id":"https://openalex.org/W2094788183","doi":"https://doi.org/10.1109/tfuzz.2015.2446508","title":"Comments on \u201cInterval Type-2 Fuzzy Sets are Generalization of Interval-Valued Fuzzy Sets: Towards a Wide View on Their Relationship\u201d","display_name":"Comments on \u201cInterval Type-2 Fuzzy Sets are Generalization of Interval-Valued Fuzzy Sets: Towards a Wide View on Their Relationship\u201d","publication_year":2015,"publication_date":"2015-06-17","ids":{"openalex":"https://openalex.org/W2094788183","doi":"https://doi.org/10.1109/tfuzz.2015.2446508","mag":"2094788183"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2015.2446508","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2015.2446508","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://academica-e.unavarra.es/bitstreams/ab99b1b6-8334-47dc-9dcf-9c38995100a3/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028699912","display_name":"Jerry M. Mendel","orcid":"https://orcid.org/0000-0001-6377-2452"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jerry M. Mendel","raw_affiliation_strings":["Signal and Image Processing Institute, University of Southern California, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"Signal and Image Processing Institute, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041176153","display_name":"Hani Hagras","orcid":"https://orcid.org/0000-0002-2818-5292"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hani Hagras","raw_affiliation_strings":["Computational Intelligence CentreSchool of Computer Science and Electronic Engineering, University of Essex, Wivenhoe Park, Colchester, U.K"],"affiliations":[{"raw_affiliation_string":"Computational Intelligence CentreSchool of Computer Science and Electronic Engineering, University of Essex, Wivenhoe Park, Colchester, U.K","institution_ids":[]}]},{"author_position":"middle","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":["Departamento de Automatica y Computacion, Universidad Publica de Navarra, Pamplona, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Automatica y Computacion, Universidad Publica de Navarra, Pamplona, Spain","institution_ids":["https://openalex.org/I175051016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045016749","display_name":"Francisco Herrera","orcid":"https://orcid.org/0000-0002-7283-312X"},"institutions":[{"id":"https://openalex.org/I173304897","display_name":"Universidad de Granada","ror":"https://ror.org/04njjy449","country_code":"ES","type":"education","lineage":["https://openalex.org/I173304897"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Francisco Herrera","raw_affiliation_strings":["Department of Computer Science and Artificial Intelligence, University of Granada, Granada, Spain","[Department of Computation and Artificial Intelligence, CITIC-UGR, Universidad de Granada, Granada, Spain]"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Artificial Intelligence, University of Granada, Granada, Spain","institution_ids":["https://openalex.org/I173304897"]},{"raw_affiliation_string":"[Department of Computation and Artificial Intelligence, CITIC-UGR, Universidad de Granada, Granada, Spain]","institution_ids":["https://openalex.org/I173304897"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5028699912"],"corresponding_institution_ids":["https://openalex.org/I1174212"],"apc_list":null,"apc_paid":null,"fwci":31.2635,"has_fulltext":true,"cited_by_count":133,"citation_normalized_percentile":{"value":0.9968992,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"24","issue":"1","first_page":"249","last_page":"250"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":1.0,"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/T10320","display_name":"Neural Networks and Applications","score":0.9987000226974487,"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":0.9977999925613403,"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/fuzzy-set","display_name":"Fuzzy set","score":0.7644002437591553},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7588002681732178},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6771601438522339},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6122942566871643},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.59207683801651},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.49279096722602844},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4698316752910614},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4693611264228821},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46816110610961914},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4562169313430786},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.4277946949005127},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.41797682642936707},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.38207030296325684},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3589784801006317},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3569377660751343},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3325516879558563},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1972029209136963},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19378086924552917},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07382762432098389}],"concepts":[{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.7644002437591553},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7588002681732178},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6771601438522339},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6122942566871643},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.59207683801651},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.49279096722602844},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4698316752910614},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4693611264228821},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46816110610961914},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4562169313430786},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.4277946949005127},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.41797682642936707},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.38207030296325684},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3589784801006317},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3569377660751343},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3325516879558563},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1972029209136963},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19378086924552917},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07382762432098389},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tfuzz.2015.2446508","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2015.2446508","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:digibug.ugr.es:10481/64894","is_oa":false,"landing_page_url":"http://hdl.handle.net/10481/64894","pdf_url":null,"source":{"id":"https://openalex.org/S4306400567","display_name":"Institutional Repository of the University of Granada (University of Granada)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I173304897","host_organization_name":"Universidad de Granada","host_organization_lineage":["https://openalex.org/I173304897"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:academica-e.unavarra.es:2454/32794","is_oa":true,"landing_page_url":"https://hdl.handle.net/2454/32794","pdf_url":"https://academica-e.unavarra.es/bitstreams/ab99b1b6-8334-47dc-9dcf-9c38995100a3/download","source":{"id":"https://openalex.org/S4306402560","display_name":"Academica-e (Universidad P\u00fablica de Navarra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I175051016","host_organization_name":"Universidad Publica de Navarra","host_organization_lineage":["https://openalex.org/I175051016"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/acceptedVersion"}],"best_oa_location":{"id":"pmh:oai:academica-e.unavarra.es:2454/32794","is_oa":true,"landing_page_url":"https://hdl.handle.net/2454/32794","pdf_url":"https://academica-e.unavarra.es/bitstreams/ab99b1b6-8334-47dc-9dcf-9c38995100a3/download","source":{"id":"https://openalex.org/S4306402560","display_name":"Academica-e (Universidad P\u00fablica de Navarra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I175051016","host_organization_name":"Universidad Publica de Navarra","host_organization_lineage":["https://openalex.org/I175051016"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/acceptedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2094788183.pdf","grobid_xml":"https://content.openalex.org/works/W2094788183.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W146215483","https://openalex.org/W564030374","https://openalex.org/W596875972","https://openalex.org/W1512983462","https://openalex.org/W1967631467","https://openalex.org/W1969692967","https://openalex.org/W1976755248","https://openalex.org/W1980564456","https://openalex.org/W1983658296","https://openalex.org/W1986781756","https://openalex.org/W1991358523","https://openalex.org/W1991497142","https://openalex.org/W2019020177","https://openalex.org/W2025128229","https://openalex.org/W2025280753","https://openalex.org/W2026829949","https://openalex.org/W2031190906","https://openalex.org/W2038152707","https://openalex.org/W2051531886","https://openalex.org/W2054416947","https://openalex.org/W2068402605","https://openalex.org/W2070761857","https://openalex.org/W2076808107","https://openalex.org/W2105234323","https://openalex.org/W2120165455","https://openalex.org/W2123964448","https://openalex.org/W2126930230","https://openalex.org/W2130030409","https://openalex.org/W2132685025","https://openalex.org/W2141178894","https://openalex.org/W2148925928","https://openalex.org/W2150810250","https://openalex.org/W2155976821","https://openalex.org/W2157041604","https://openalex.org/W2162706466","https://openalex.org/W2164214149","https://openalex.org/W2178918608","https://openalex.org/W2481052802","https://openalex.org/W2912565176","https://openalex.org/W2913642042","https://openalex.org/W4236630153"],"related_works":["https://openalex.org/W2287021682","https://openalex.org/W4385961889","https://openalex.org/W2006645915","https://openalex.org/W2063980661","https://openalex.org/W3125761173","https://openalex.org/W2157588455","https://openalex.org/W2060486654","https://openalex.org/W2061828243","https://openalex.org/W1514480137","https://openalex.org/W1967842420"],"abstract_inverted_index":{"This":[0],"letter":[1],"makes":[2],"some":[3,82],"observations":[4],"about":[5,63],"\u201cInterval":[6],"type-2":[7,37],"fuzzy":[8,14,38,45],"sets":[9],"are":[10],"generalization":[11],"of":[12],"interval-valued":[13,44],"sets:":[15],"Towards":[16],"a":[17],"wide":[18],"view":[19],"on":[20],"their":[21],"relationship,\u201d":[22],"<italic":[23],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[24],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">IEEE":[25],"Trans.":[26],"Fuzzy":[27],"Systems</i>":[28],"that":[29,51,57],"further":[30],"support":[31],"the":[32,72],"distinction":[33],"between":[34],"an":[35,43],"interval":[36],"set":[39,46],"(IT2":[40],"FS)":[41],"and":[42,55,61,80],"(IV":[47],"FS),":[48],"points":[49],"out":[50],"all":[52],"operations,":[53],"methods,":[54],"systems":[56],"have":[58],"been":[59],"developed":[60],"published":[62],"IT2":[64,76],"FSs":[65],"are,":[66],"so":[67],"far,":[68],"only":[69],"valid":[70],"in":[71],"special":[73],"case":[74],"when":[75],"FS":[77],"=":[78],"IVFS,":[79],"suggests":[81],"research":[83],"opportunities.":[84]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":20},{"year":2018,"cited_by_count":17},{"year":2017,"cited_by_count":21},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":19}],"updated_date":"2026-03-31T07:56:22.981413","created_date":"2016-06-24T00:00:00"}
