{"id":"https://openalex.org/W2336104095","doi":"https://doi.org/10.1109/tfuzz.2015.2457447","title":"Local Divergences for Atanassov Intuitionistic Fuzzy Sets","display_name":"Local Divergences for Atanassov Intuitionistic Fuzzy Sets","publication_year":2015,"publication_date":"2015-07-17","ids":{"openalex":"https://openalex.org/W2336104095","doi":"https://doi.org/10.1109/tfuzz.2015.2457447","mag":"2336104095"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2015.2457447","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2015.2457447","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":"http://hdl.handle.net/10651/39380","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078602746","display_name":"Ignacio Montes","orcid":"https://orcid.org/0000-0001-6534-1613"},"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":true,"raw_author_name":"Ignacio Montes","raw_affiliation_strings":["Department of Statistics and Operational Research, University of Oviedo, Gij\u00f3n, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operational Research, University of Oviedo, Gij\u00f3n, Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033237300","display_name":"Vladim\u00edr Jani\u0161","orcid":"https://orcid.org/0000-0003-0790-7214"},"institutions":[{"id":"https://openalex.org/I59655833","display_name":"Matej Bel University","ror":"https://ror.org/016e5hy63","country_code":"SK","type":"education","lineage":["https://openalex.org/I59655833"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Vladimir Janis","raw_affiliation_strings":["Department of Mathematics, Matej Bel University, Bansk\u00e1 Bystrica, Slovak Republic"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Matej Bel University, Bansk\u00e1 Bystrica, Slovak Republic","institution_ids":["https://openalex.org/I59655833"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103224090","display_name":"Nikhil R. Pal","orcid":"https://orcid.org/0000-0001-6935-901X"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Nikhil R. Pal","raw_affiliation_strings":["Electronics and Communication Sciences Unit, Indian Statistical Institute, Kolkata, India"],"affiliations":[{"raw_affiliation_string":"Electronics and Communication Sciences Unit, Indian Statistical Institute, Kolkata, India","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074970655","display_name":"Susana Montes","orcid":"https://orcid.org/0000-0002-4701-2207"},"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":"Susana Montes","raw_affiliation_strings":["Department of Statistics and Operational Research, University of Oviedo, Gij\u00f3n, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operational Research, University of Oviedo, Gij\u00f3n, Spain","institution_ids":["https://openalex.org/I165339363"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5078602746"],"corresponding_institution_ids":["https://openalex.org/I165339363"],"apc_list":null,"apc_paid":null,"fwci":2.0602,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.88711714,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"24","issue":"2","first_page":"360","last_page":"373"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998000264167786,"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":0.9998000264167786,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9083999991416931,"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/pointwise","display_name":"Pointwise","score":0.8287943601608276},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5525866150856018},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.5476972460746765},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5428715348243713},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.47681280970573425},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4240024983882904},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4191737473011017},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3854776620864868},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38135838508605957},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.26732784509658813},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08243927359580994}],"concepts":[{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.8287943601608276},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5525866150856018},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5476972460746765},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5428715348243713},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.47681280970573425},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4240024983882904},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4191737473011017},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3854776620864868},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38135838508605957},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.26732784509658813},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08243927359580994},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tfuzz.2015.2457447","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2015.2457447","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:CiteSeerX.psu:10.1.1.725.5485","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.725.5485","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://unimode.uniovi.es/articulos/1409NachoIEEE.pdf","raw_type":"text"},{"id":"pmh:oai:digibuo.uniovi.es:10651/39380","is_oa":true,"landing_page_url":"http://hdl.handle.net/10651/39380","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":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:digibuo.uniovi.es:10651/39584","is_oa":false,"landing_page_url":"http://hdl.handle.net/10651/39584","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:digibuo.uniovi.es:10651/39380","is_oa":true,"landing_page_url":"http://hdl.handle.net/10651/39380","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":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.8100000023841858,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W96621001","https://openalex.org/W204306104","https://openalex.org/W1515034838","https://openalex.org/W1528458083","https://openalex.org/W1606108510","https://openalex.org/W1965806776","https://openalex.org/W1969823555","https://openalex.org/W1976915331","https://openalex.org/W1980564456","https://openalex.org/W1994940876","https://openalex.org/W1995972849","https://openalex.org/W1998274657","https://openalex.org/W2026244788","https://openalex.org/W2029074979","https://openalex.org/W2031241748","https://openalex.org/W2033291297","https://openalex.org/W2036430002","https://openalex.org/W2039791408","https://openalex.org/W2056021265","https://openalex.org/W2060201949","https://openalex.org/W2067648457","https://openalex.org/W2068233430","https://openalex.org/W2070417014","https://openalex.org/W2075693023","https://openalex.org/W2087501680","https://openalex.org/W2091130862","https://openalex.org/W2125080590","https://openalex.org/W2125906479","https://openalex.org/W2137607269","https://openalex.org/W2796572160","https://openalex.org/W4211007335","https://openalex.org/W4285719527","https://openalex.org/W4289254296","https://openalex.org/W4292295629","https://openalex.org/W6603895596","https://openalex.org/W6645451138","https://openalex.org/W6750423631"],"related_works":["https://openalex.org/W2140020064","https://openalex.org/W143502885","https://openalex.org/W2103468410","https://openalex.org/W1856228368","https://openalex.org/W3197542402","https://openalex.org/W2971527398","https://openalex.org/W2086538707","https://openalex.org/W1968809652","https://openalex.org/W1025150868","https://openalex.org/W2067142008"],"abstract_inverted_index":{"The":[0],"comparison":[1,41],"of":[2,40,49,70,82,90],"Atanassov":[3],"intuitionistic":[4],"fuzzy":[5],"sets":[6],"(AIF-sets)":[7],"is":[8,77],"a":[9,47,53,57],"topic":[10],"that":[11,51],"has":[12],"been":[13],"widely":[14],"studied":[15],"due":[16],"to":[17,61],"its":[18],"several":[19],"applications":[20,89],"in":[21,93],"image":[22],"segmentation":[23],"or":[24],"decision":[25,97],"making,":[26],"among":[27],"other":[28],"fields.":[29],"Divergences":[30],"for":[31,42],"AIF-sets":[32,66],"(AIF-divergences)":[33],"were":[34],"introduced":[35],"as":[36],"an":[37],"adequate":[38],"measure":[39],"AIF-sets.":[43],"This":[44],"study":[45],"investigates":[46],"family":[48],"AIF-divergences":[50,72,92],"satisfies":[52],"local":[54,75,83],"property.":[55],"Such":[56],"property":[58,76],"allows":[59],"us":[60],"compute":[62],"the":[63,74],"divergence":[64,84],"between":[65],"pointwise.":[67],"A":[68],"characterization":[69],"those":[71],"satisfying":[73],"provided.":[78],"Several":[79],"interesting":[80],"properties":[81],"are":[85],"also":[86],"discussed.":[87],"Some":[88],"these":[91],"pattern":[94],"recognition":[95],"and":[96],"making":[98],"illustrate":[99],"their":[100],"utility.":[101]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
