{"id":"https://openalex.org/W2041217753","doi":"https://doi.org/10.1109/fuzz-ieee.2013.6622408","title":"Extending similarity measures of interval type-2 fuzzy sets to general type-2 fuzzy sets","display_name":"Extending similarity measures of interval type-2 fuzzy sets to general type-2 fuzzy sets","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2041217753","doi":"https://doi.org/10.1109/fuzz-ieee.2013.6622408","mag":"2041217753"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2013.6622408","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2013.6622408","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1308.5136","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058809711","display_name":"Josie McCulloch","orcid":"https://orcid.org/0000-0001-8799-5474"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Josie McCulloch","raw_affiliation_strings":["School of Computer Science, University of Nottingham, Nottingham, UK","School of Computer Science; University of Nottingham; Nottingham UK"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Nottingham, Nottingham, UK","institution_ids":["https://openalex.org/I142263535"]},{"raw_affiliation_string":"School of Computer Science; University of Nottingham; Nottingham UK","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070095814","display_name":"Christian Wagner","orcid":"https://orcid.org/0000-0002-6121-9722"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Christian Wagner","raw_affiliation_strings":["School of Computer Science, University of Nottingham, Nottingham, UK","School of Computer Science; University of Nottingham; Nottingham UK"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Nottingham, Nottingham, UK","institution_ids":["https://openalex.org/I142263535"]},{"raw_affiliation_string":"School of Computer Science; University of Nottingham; Nottingham UK","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002768704","display_name":"Uwe Aickelin","orcid":"https://orcid.org/0000-0002-2679-2275"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Uwe Aickelin","raw_affiliation_strings":["School of Computer Science, University of Nottingham, Nottingham, UK","School of Computer Science; University of Nottingham; Nottingham UK"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Nottingham, Nottingham, UK","institution_ids":["https://openalex.org/I142263535"]},{"raw_affiliation_string":"School of Computer Science; University of Nottingham; Nottingham UK","institution_ids":["https://openalex.org/I142263535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058809711"],"corresponding_institution_ids":["https://openalex.org/I142263535"],"apc_list":null,"apc_paid":null,"fwci":4.9423,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.94957477,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"11","issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9915000200271606,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.987500011920929,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6533118486404419},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.6463503241539001},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.5335014462471008},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.5278475284576416},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.5179101824760437},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5016357898712158},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.496584951877594},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4935194253921509},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4883258044719696},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4817057251930237},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.47322240471839905},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.463814914226532},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4550229012966156},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.4133192002773285},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3572657108306885},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.33702152967453003},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32003486156463623},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12417060136795044}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6533118486404419},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.6463503241539001},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.5335014462471008},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.5278475284576416},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.5179101824760437},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5016357898712158},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.496584951877594},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4935194253921509},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4883258044719696},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4817057251930237},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.47322240471839905},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.463814914226532},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4550229012966156},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.4133192002773285},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3572657108306885},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.33702152967453003},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32003486156463623},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12417060136795044},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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":7,"locations":[{"id":"doi:10.1109/fuzz-ieee.2013.6622408","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2013.6622408","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1308.5136","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1308.5136","pdf_url":"https://arxiv.org/pdf/1308.5136","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:jupiter.its.unimelb.edu.au:11343/241187","is_oa":true,"landing_page_url":"http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000335342800110&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=d4d813f4571fa7d6246bdc0dfeca3a1c","pdf_url":"http://hdl.handle.net/11343/241187","source":{"id":"https://openalex.org/S4377196259","display_name":"Minerva Access (University of Melbourne)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I165779595","host_organization_name":"The University of Melbourne","host_organization_lineage":["https://openalex.org/I165779595"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE International Conference on Fuzzy Sets to General Type-2 Fuzzy Sets","raw_type":"Conference Paper"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.767.9840","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.767.9840","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1308.5136.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.944.7019","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.944.7019","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eprints.nottingham.ac.uk/3339/1/mcculloch2013.pdf","raw_type":"text"},{"id":"pmh:oai:eprints.nottingham.ac.uk:3339","is_oa":false,"landing_page_url":"http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6622408","pdf_url":null,"source":{"id":"https://openalex.org/S4306402013","display_name":"Nottingham ePrints (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"},{"id":"pmh:oai:nottingham-repository.worktribe.com:1004937","is_oa":true,"landing_page_url":"https://nottingham-repository.worktribe.com/output/1004937","pdf_url":null,"source":{"id":"https://openalex.org/S4306402483","display_name":"Repository@Nottingham (University of Nottingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142263535","host_organization_name":"University of Nottingham","host_organization_lineage":["https://openalex.org/I142263535"],"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":"Presentation / Conference Contribution"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1308.5136","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1308.5136","pdf_url":"https://arxiv.org/pdf/1308.5136","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5600000023841858}],"awards":[{"id":"https://openalex.org/G4434080624","display_name":null,"funder_award_id":"EP/G065802/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G893809682","display_name":null,"funder_award_id":"EP/K012479/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W131681745","https://openalex.org/W564030374","https://openalex.org/W647481897","https://openalex.org/W1502867372","https://openalex.org/W1965792357","https://openalex.org/W1985317768","https://openalex.org/W1988071111","https://openalex.org/W1999956061","https://openalex.org/W2024492332","https://openalex.org/W2027515265","https://openalex.org/W2037351862","https://openalex.org/W2041675778","https://openalex.org/W2062897401","https://openalex.org/W2063928388","https://openalex.org/W2078083902","https://openalex.org/W2089807790","https://openalex.org/W2109000886","https://openalex.org/W2116922569","https://openalex.org/W2123964448","https://openalex.org/W2125631815","https://openalex.org/W2130902850","https://openalex.org/W2132885717","https://openalex.org/W2141178894","https://openalex.org/W2145416734","https://openalex.org/W2145479133","https://openalex.org/W2151614844","https://openalex.org/W2155976821","https://openalex.org/W2161771180","https://openalex.org/W2165094119","https://openalex.org/W2167564457","https://openalex.org/W2319474482","https://openalex.org/W2500340515","https://openalex.org/W2913642042","https://openalex.org/W4247749894","https://openalex.org/W6605400827"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W2674573885","https://openalex.org/W1485268022","https://openalex.org/W1975005191","https://openalex.org/W2331106272","https://openalex.org/W4361984403","https://openalex.org/W1542808721","https://openalex.org/W2960454922","https://openalex.org/W1487720066","https://openalex.org/W139981661"],"abstract_inverted_index":{"Similarity":[0],"measures":[1,19,33,57,60,71,94,123],"provide":[2,93,125],"one":[3],"of":[4,17,38,95,109,119],"the":[5,36,83,100,110],"core":[6],"tools":[7],"that":[8,34],"enable":[9,35],"reasoning":[10],"about":[11],"fuzzy":[12,26,41,64,75,90,122,135],"sets.":[13,42,65],"While":[14],"many":[15],"types":[16,129],"similarity":[18,32,56,59,70,96,114],"exist":[20],"for":[21,51,61,72,89],"type-1":[22],"and":[23,107,124,132],"interval":[24,54,73,112,131],"type-2":[25,40,55,63,74,87,113,134],"sets,":[27],"there":[28],"are":[29],"very":[30],"few":[31],"comparison":[37],"general":[39,49,62,86,133],"In":[43],"this":[44],"paper,":[45],"we":[46,67],"introduce":[47],"a":[48],"method":[50],"extending":[52],"existing":[53],"to":[58,92],"Specifically,":[66],"show":[68],"how":[69],"sets":[76,91],"can":[77],"be":[78],"employed":[79],"in":[80],"conjunction":[81],"with":[82],"zSlices":[84],"based":[85],"representation":[88],"which":[97],"preserve":[98],"all":[99],"common":[101],"properties":[102],"(i.e.":[103],"reflexivity,":[104],"symmetry,":[105],"transitivity":[106],"overlapping)":[108],"original":[111],"measure.":[115],"We":[116],"demonstrate":[117],"examples":[118],"such":[120],"extended":[121],"comparisons":[126],"between":[127],"(different":[128],"of)":[130],"measures.":[136]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}