{"id":"https://openalex.org/W2016236227","doi":"https://doi.org/10.1016/j.ins.2007.10.007","title":"Normalized distance, similarity measure, inclusion measure and entropy of interval-valued fuzzy sets and their relationship","display_name":"Normalized distance, similarity measure, inclusion measure and entropy of interval-valued fuzzy sets and their relationship","publication_year":2007,"publication_date":"2007-11-14","ids":{"openalex":"https://openalex.org/W2016236227","doi":"https://doi.org/10.1016/j.ins.2007.10.007","mag":"2016236227"},"language":"en","primary_location":{"id":"doi:10.1016/j.ins.2007.10.007","doi":"https://doi.org/10.1016/j.ins.2007.10.007","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.ins.2007.10.007","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-b","cwts-core","dongbi-b","fnege-4","jufo-3","ki-jl-1","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Sciences","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080923132","display_name":"Wenyi Zeng","orcid":"https://orcid.org/0000-0002-8908-3329","observed_orcids":["https://orcid.org/0000-0002-8908-3329"]},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenyi Zeng","raw_affiliation_strings":["College of Information Science and Technology, Beijing Normal University, Beijing 100875, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Beijing Normal University, Beijing 100875, PR China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020083340","display_name":"Ping Guo","orcid":"https://orcid.org/0000-0002-7122-1084","observed_orcids":["https://orcid.org/0000-0002-7122-1084"]},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ping Guo","raw_affiliation_strings":["College of Information Science and Technology, Beijing Normal University, Beijing 100875, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Beijing Normal University, Beijing 100875, PR China","institution_ids":["https://openalex.org/I25254941"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5020083340","https://openalex.org/A5080923132"],"corresponding_institution_ids":["https://openalex.org/I25254941"],"apc_list":{"value":3200,"currency":"USD","value_usd":3200},"apc_paid":null,"fwci":9.0607,"has_fulltext":false,"cited_by_count":183,"citation_normalized_percentile":{"value":0.97549653,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"178","issue":"5","first_page":"1334","last_page":"1342"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.5160999894142151,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.5160999894142151,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.37400001287460327,"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"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.04800000041723251,"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/interval-valued-fuzzy-sets","display_name":"interval-valued fuzzy sets","score":1.0},{"id":"https://openalex.org/keywords/normalized-distance","display_name":"normalized distance","score":0.8830000162124634},{"id":"https://openalex.org/keywords/similarity-measures","display_name":"similarity measures","score":0.9829999804496765},{"id":"https://openalex.org/keywords/inclusion-measures","display_name":"inclusion measures","score":0.996999979019165},{"id":"https://openalex.org/keywords/entropy-information-theory","display_name":"entropy (information theory)","score":0.8259999752044678},{"id":"https://openalex.org/keywords/axiomatic-definition","display_name":"axiomatic definition","score":0.9010000228881836}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8090651035308838},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.6650053262710571},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6231415271759033},{"id":"https://openalex.org/C2776517306","wikidata":"https://www.wikidata.org/wiki/Q29017317","display_name":"Similarity measure","level":2,"score":0.570824146270752},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5626874566078186},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.540858268737793},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.532612681388855},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5222964286804199},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5107524394989014},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.48631176352500916},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.4312344789505005},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3812177777290344},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3212052285671234},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24661502242088318},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16653427481651306},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1469908356666565},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.ins.2007.10.007","doi":"https://doi.org/10.1016/j.ins.2007.10.007","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.ins.2007.10.007","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","ccf-b","cwts-core","dongbi-b","fnege-4","jufo-3","ki-jl-1","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/10","score":0.8100000023841858,"display_name":"Reduced inequalities"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W617683806","https://openalex.org/W1528458083","https://openalex.org/W1980564456","https://openalex.org/W1982034525","https://openalex.org/W1992347963","https://openalex.org/W1993810822","https://openalex.org/W1998169032","https://openalex.org/W2006050653","https://openalex.org/W2018326882","https://openalex.org/W2022988502","https://openalex.org/W2027515265","https://openalex.org/W2029074979","https://openalex.org/W2037351862","https://openalex.org/W2040121225","https://openalex.org/W2042352139","https://openalex.org/W2069656851","https://openalex.org/W2083826636","https://openalex.org/W2089920338","https://openalex.org/W2117156647","https://openalex.org/W2123964448","https://openalex.org/W2139927426","https://openalex.org/W2157041604","https://openalex.org/W2163982943","https://openalex.org/W2164458769","https://openalex.org/W2170853747","https://openalex.org/W2199404595","https://openalex.org/W2382569579","https://openalex.org/W2912565176","https://openalex.org/W2913238147","https://openalex.org/W4211007335","https://openalex.org/W4240278385","https://openalex.org/W4245152641"],"related_works":["https://openalex.org/W2037428035","https://openalex.org/W2610377848","https://openalex.org/W2102433694","https://openalex.org/W2048452567","https://openalex.org/W4285303369","https://openalex.org/W2063835881","https://openalex.org/W2370753895","https://openalex.org/W2996349648","https://openalex.org/W1998846400","https://openalex.org/W2365416574"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":16},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":17},{"year":2014,"cited_by_count":16},{"year":2013,"cited_by_count":16},{"year":2012,"cited_by_count":11}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}
