{"id":"https://openalex.org/W1980036384","doi":"https://doi.org/10.1016/s0165-0114(99)80011-6","title":"Distance measure and induced fuzzy entropy","display_name":"Distance measure and induced fuzzy entropy","publication_year":1999,"publication_date":"1999-06-01","ids":{"openalex":"https://openalex.org/W1980036384","doi":"https://doi.org/10.1016/s0165-0114(99)80011-6","mag":"1980036384"},"language":"en","primary_location":{"id":"doi:10.1016/s0165-0114(99)80011-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(99)80011-6","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Fuzzy Sets and Systems","raw_type":"journal-article"},"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/A5100739544","display_name":"Jiulun Fan","orcid":"https://orcid.org/0000-0002-7553-204X"},"institutions":[{"id":"https://openalex.org/I4210136859","display_name":"Xi\u2019an University of Posts and Telecommunications","ror":"https://ror.org/04jn0td46","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210136859"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiulun Fan","raw_affiliation_strings":["Department of Basic courses, Xi'an Institute of Posts and Telecommunications, Xi'an 710061, China"],"affiliations":[{"raw_affiliation_string":"Department of Basic courses, Xi'an Institute of Posts and Telecommunications, Xi'an 710061, China","institution_ids":["https://openalex.org/I4210136859"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108264876","display_name":"Weixin Xie","orcid":null},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weixin Xie","raw_affiliation_strings":["Department of Electrical Engineering, Xidian University, Xi'an 710071, China","Department of Electrical Engineering, Xidian University, Xi\u2019an, 710071, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Xidian University, Xi'an 710071, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"Department of Electrical Engineering, Xidian University, Xi\u2019an, 710071, China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100739544"],"corresponding_institution_ids":["https://openalex.org/I4210136859"],"apc_list":{"value":2600,"currency":"USD","value_usd":2600},"apc_paid":null,"fwci":1.5901,"has_fulltext":false,"cited_by_count":177,"citation_normalized_percentile":{"value":0.82942791,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"104","issue":"2","first_page":"305","last_page":"314"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9987000226974487,"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":0.9987000226974487,"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":0.9933000206947327,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9739999771118164,"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/mathematics","display_name":"Mathematics","score":0.8685739040374756},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6204380989074707},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.5819264054298401},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5745369791984558},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5637302398681641},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5603581666946411},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.5122749209403992},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.5015182495117188},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4202686846256256},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.41834020614624023},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3529861569404602},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.30491334199905396},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24357953667640686},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19810223579406738},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.14353039860725403},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08726745843887329},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05440351366996765},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.054293543100357056}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8685739040374756},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6204380989074707},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.5819264054298401},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5745369791984558},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5637302398681641},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5603581666946411},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.5122749209403992},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5015182495117188},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4202686846256256},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.41834020614624023},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3529861569404602},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.30491334199905396},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24357953667640686},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19810223579406738},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.14353039860725403},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08726745843887329},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05440351366996765},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.054293543100357056},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0165-0114(99)80011-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(99)80011-6","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Fuzzy Sets and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1601763377","https://openalex.org/W1976500994","https://openalex.org/W2018867844","https://openalex.org/W2040986566","https://openalex.org/W2051220667","https://openalex.org/W2056021265","https://openalex.org/W2096768134","https://openalex.org/W2132839152","https://openalex.org/W2172102862","https://openalex.org/W2319986077","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W6644271407"],"related_works":["https://openalex.org/W2037428035","https://openalex.org/W2102433694","https://openalex.org/W2610377848","https://openalex.org/W2116819400","https://openalex.org/W2048452567","https://openalex.org/W4242545108","https://openalex.org/W4285303369","https://openalex.org/W2181553247","https://openalex.org/W2112295919","https://openalex.org/W1966731082"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":8}],"updated_date":"2026-03-28T08:17:26.163206","created_date":"2025-10-10T00:00:00"}