{"id":"https://openalex.org/W2000421016","doi":"https://doi.org/10.1109/fuzz-ieee.2014.6891575","title":"A fuzzy directional distance measure","display_name":"A fuzzy directional distance measure","publication_year":2014,"publication_date":"2014-07-01","ids":{"openalex":"https://openalex.org/W2000421016","doi":"https://doi.org/10.1109/fuzz-ieee.2014.6891575","mag":"2000421016"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2014.6891575","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2014.6891575","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 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/11343/241190","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":"J. C. McCulloch","raw_affiliation_strings":["Department of Computer Science, University of Nottingham, Nottingham, Nottinghamshire, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Nottingham, Nottingham, Nottinghamshire, UK","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073664678","display_name":"Chris Hinde","orcid":null},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"C. J. Hinde","raw_affiliation_strings":["Department of Computer Science, Loughborough University, Loughborough, Leicestershire, UK","[Department of Computer Science Loughborough, University Loughborough, Leicestershire, UK]"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Loughborough University, Loughborough, Leicestershire, UK","institution_ids":["https://openalex.org/I143804889"]},{"raw_affiliation_string":"[Department of Computer Science Loughborough, University Loughborough, Leicestershire, UK]","institution_ids":["https://openalex.org/I143804889"]}]},{"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":"C. Wagner","raw_affiliation_strings":["Department of Computer Science, University of Nottingham, Nottingham, Nottinghamshire, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Nottingham, Nottingham, Nottinghamshire, 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":"U. Aickelin","raw_affiliation_strings":["Department of Computer Science, University of Nottingham, Nottingham, Nottinghamshire, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Nottingham, Nottingham, Nottinghamshire, UK","institution_ids":["https://openalex.org/I142263535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5058809711"],"corresponding_institution_ids":["https://openalex.org/I142263535"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.07847605,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"144","issue":null,"first_page":"141","last_page":"148"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9984999895095825,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9860000014305115,"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/measure","display_name":"Measure (data warehouse)","score":0.7814483642578125},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.6794258952140808},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6496621370315552},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.6350124478340149},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.6141380071640015},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6124520301818848},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5647052526473999},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5566170811653137},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.5224843621253967},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.508124589920044},{"id":"https://openalex.org/keywords/distance-measures","display_name":"Distance measures","score":0.4884118437767029},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.4609771966934204},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.4425313472747803},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.42545998096466064},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37416431307792664},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37337565422058105},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35164323449134827},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.31347930431365967},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06817874312400818}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.7814483642578125},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.6794258952140808},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6496621370315552},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.6350124478340149},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.6141380071640015},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6124520301818848},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5647052526473999},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5566170811653137},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.5224843621253967},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.508124589920044},{"id":"https://openalex.org/C2639959","wikidata":"https://www.wikidata.org/wiki/Q1344778","display_name":"Distance measures","level":2,"score":0.4884118437767029},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.4609771966934204},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.4425313472747803},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.42545998096466064},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37416431307792664},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37337565422058105},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35164323449134827},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.31347930431365967},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06817874312400818}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/fuzz-ieee.2014.6891575","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2014.6891575","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},{"id":"pmh:oai:jupiter.its.unimelb.edu.au:11343/241190","is_oa":true,"landing_page_url":"http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&amp;SrcApp=PARTNER_APP&amp;SrcAuth=LinksAMR&amp;KeyUT=WOS:000350793500021&amp;DestLinkType=FullRecord&amp;DestApp=ALL_WOS&amp;UsrCustomerID=d4d813f4571fa7d6246bdc0dfeca3a1c","pdf_url":"http://hdl.handle.net/11343/241190","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 Systems","raw_type":"Conference Paper"},{"id":"pmh:oai:nottingham-repository.worktribe.com:732843","is_oa":true,"landing_page_url":"https://nottingham-repository.worktribe.com/output/732843","pdf_url":"https://nottingham-repository.worktribe.com/preview/732855/McCulloch2014a.pdf","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":"acceptedVersion"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.740.5229","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.740.5229","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/1409.1045.pdf","raw_type":"text"},{"id":"pmh:oai:eprints.nottingham.ac.uk:3352","is_oa":true,"landing_page_url":"http://eprints.nottingham.ac.uk/3352/","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"}],"best_oa_location":{"id":"pmh:oai:jupiter.its.unimelb.edu.au:11343/241190","is_oa":true,"landing_page_url":"http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&amp;SrcApp=PARTNER_APP&amp;SrcAuth=LinksAMR&amp;KeyUT=WOS:000350793500021&amp;DestLinkType=FullRecord&amp;DestApp=ALL_WOS&amp;UsrCustomerID=d4d813f4571fa7d6246bdc0dfeca3a1c","pdf_url":"http://hdl.handle.net/11343/241190","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 Systems","raw_type":"Conference Paper"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5199999809265137}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2000421016.pdf"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1540596182","https://openalex.org/W1578451667","https://openalex.org/W1586936239","https://openalex.org/W1971522528","https://openalex.org/W1981682113","https://openalex.org/W1989100711","https://openalex.org/W2069479148","https://openalex.org/W2093427822","https://openalex.org/W2115155681","https://openalex.org/W2148627547","https://openalex.org/W2167888371","https://openalex.org/W2330022088","https://openalex.org/W6632267817","https://openalex.org/W6677429813","https://openalex.org/W6681824503","https://openalex.org/W6684488909"],"related_works":["https://openalex.org/W2395193699","https://openalex.org/W2674573885","https://openalex.org/W2037428035","https://openalex.org/W3186561448","https://openalex.org/W2375182298","https://openalex.org/W2166637398","https://openalex.org/W2048452567","https://openalex.org/W2347394627","https://openalex.org/W2336923272","https://openalex.org/W2025902904"],"abstract_inverted_index":{"The":[0],"measure":[1,38,45,60],"of":[2,68],"distance":[3,17,30,37,44,59],"between":[4,31,70],"two":[5],"fuzzy":[6,13,32,43,53,57,71],"sets":[7,54],"is":[8,39,61,76,83,90],"a":[9,24,42,56,79],"fundamental":[10],"tool":[11],"within":[12,20],"set":[14],"theory,":[15],"however,":[16],"measures":[18],"currently":[19],"the":[21,29,49,66],"literature":[22],"use":[23],"crisp":[25],"value":[26],"to":[27],"represent":[28],"sets.":[33,72],"A":[34,73],"real":[35],"valued":[36],"developed":[40],"into":[41],"which":[46,63],"better":[47],"reflects":[48],"uncertainty":[50],"inherent":[51],"in":[52],"and":[55],"directional":[58],"presented,":[62],"accounts":[64],"for":[65],"direction":[67],"change":[69],"multiplicative":[74],"version":[75],"explored":[77],"as":[78],"full":[80],"maximal":[81],"assignment":[82],"computationally":[84],"intractable":[85],"so":[86],"an":[87],"intermediate":[88],"solution":[89],"offered.":[91]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
