{"id":"https://openalex.org/W1981682113","doi":"https://doi.org/10.1109/ukci.2013.6651285","title":"Measuring the directional distance between fuzzy sets","display_name":"Measuring the directional distance between fuzzy sets","publication_year":2013,"publication_date":"2013-09-01","ids":{"openalex":"https://openalex.org/W1981682113","doi":"https://doi.org/10.1109/ukci.2013.6651285","mag":"1981682113"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/ukci.2013.6651285","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://nottingham-repository.worktribe.com/preview/1004969/mcculloch2013a.pdf","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":false,"raw_author_name":"Josie McCulloch","raw_affiliation_strings":["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"]}]},{"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"],"affiliations":[{"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"],"affiliations":[{"raw_affiliation_string":"School of Computer Science; University of Nottingham; Nottingham UK","institution_ids":["https://openalex.org/I142263535"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.786,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":11,"citation_normalized_percentile":{"value":0.799283,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":86,"max":87},"biblio":{"volume":null,"issue":null,"first_page":"38","last_page":"45"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9929,"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":0.9929,"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":0.9895,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9864,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/movielens","display_name":"MovieLens","score":0.6670875},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.56806815},{"id":"https://openalex.org/keywords/distance-measures","display_name":"Distance measures","score":0.421373}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.7458466},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.70713735},{"id":"https://openalex.org/C2776156558","wikidata":"https://www.wikidata.org/wiki/Q4353746","display_name":"MovieLens","level":4,"score":0.6670875},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.58425844},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.56806815},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.51260513},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5007131},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.45244685},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.43967006},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.43195528},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.422094},{"id":"https://openalex.org/C2639959","wikidata":"https://www.wikidata.org/wiki/Q1344778","display_name":"Distance measures","level":2,"score":0.421373},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.42108098},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.39428774},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38533625},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37489688},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.18734255},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06801829},{"id":"https://openalex.org/C557471498","wikidata":"https://www.wikidata.org/wiki/Q554950","display_name":"Recommender system","level":2,"score":0.06498855},{"id":"https://openalex.org/C21569690","wikidata":"https://www.wikidata.org/wiki/Q94702","display_name":"Collaborative filtering","level":3,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/ukci.2013.6651285","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://eprints.nottingham.ac.uk/3340/","pdf_url":"https://nottingham-repository.worktribe.com/preview/1004969/mcculloch2013a.pdf","source":{"id":"https://openalex.org/S4377196364","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":["University of Nottingham"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false},{"is_oa":true,"landing_page_url":null,"pdf_url":"http://arxiv.org/pdf/1308.5137.pdf","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1308.5137","pdf_url":"http://arxiv.org/pdf/1308.5137","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://eprints.nottingham.ac.uk/3340/","pdf_url":"https://nottingham-repository.worktribe.com/preview/1004969/mcculloch2013a.pdf","source":{"id":"https://openalex.org/S4377196364","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":["University of Nottingham"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.51}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":19,"referenced_works":["https://openalex.org/W1987400371","https://openalex.org/W1999956061","https://openalex.org/W2021332053","https://openalex.org/W2023606918","https://openalex.org/W2041217753","https://openalex.org/W2056021265","https://openalex.org/W2078083902","https://openalex.org/W2087501680","https://openalex.org/W2089807790","https://openalex.org/W2093427822","https://openalex.org/W2109000886","https://openalex.org/W2157041604","https://openalex.org/W2165094119","https://openalex.org/W2167564457","https://openalex.org/W2912565176","https://openalex.org/W2913642042","https://openalex.org/W4211007335","https://openalex.org/W4245152641","https://openalex.org/W564030374"],"related_works":["https://openalex.org/W2674573885","https://openalex.org/W2610377848","https://openalex.org/W2342527173","https://openalex.org/W2150747564","https://openalex.org/W2130809391","https://openalex.org/W2063835881","https://openalex.org/W2048452567","https://openalex.org/W2037428035","https://openalex.org/W2025093212","https://openalex.org/W1974881328"],"abstract_inverted_index":{"The":[0],"measure":[1,58,90],"of":[2,29,40,70,102],"distance":[3,18,57,89],"between":[4,31,63,106],"two":[5],"fuzzy":[6,13,32,83,107],"sets":[7,64],"is":[8],"a":[9,34,38,56],"fundamental":[10],"tool":[11],"within":[12,20],"set":[14],"theory.":[15],"However,":[16],"current":[17],"measures":[19],"the":[21,27,61,87,95,100,104],"literature":[22],"do":[23],"not":[24],"account":[25],"for":[26,73],"direction":[28,62,105],"change":[30],"sets;":[33],"useful":[35],"concept":[36],"in":[37],"variety":[39],"applications,":[41],"such":[42],"as":[43,77,79],"Computing":[44],"With":[45],"Words.":[46],"In":[47],"this":[48,52],"paper,":[49],"we":[50],"highlight":[51],"utility":[53],"and":[54,75,81,98],"introduce":[55],"which":[59],"takes":[60],"into":[65],"account.":[66],"We":[67,85],"provide":[68],"details":[69],"its":[71],"application":[72],"normal":[74],"non-normal,":[76],"well":[78],"convex":[80],"non-convex":[82],"sets.":[84,108],"demonstrate":[86],"new":[88],"using":[91],"real":[92],"data":[93],"from":[94],"MovieLens":[96],"dataset":[97],"establish":[99],"benefits":[101],"measuring":[103]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1981682113","counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2025-01-19T05:44:05.001632","created_date":"2016-06-24"}