{"id":"https://openalex.org/W2271317061","doi":"https://doi.org/10.3233/ifs-141474","title":"Distance and similarity measures for dual hesitant fuzzy sets and their applications in\u00a0pattern recognition","display_name":"Distance and similarity measures for dual hesitant fuzzy sets and their applications in\u00a0pattern recognition","publication_year":2015,"publication_date":"2015-10-05","ids":{"openalex":"https://openalex.org/W2271317061","doi":"https://doi.org/10.3233/ifs-141474","mag":"2271317061"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-141474","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-141474","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy 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/A5101809112","display_name":"Zhan Su","orcid":"https://orcid.org/0000-0002-1954-4687"},"institutions":[{"id":"https://openalex.org/I4210163363","display_name":"PLA Army Engineering University","ror":"https://ror.org/05mgp8x93","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210163363"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhan Su","raw_affiliation_strings":["College of Sciences, PLA University of Science and Technology, Nanjing, Jiangsu, China"],"affiliations":[{"raw_affiliation_string":"College of Sciences, PLA University of Science and Technology, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I4210163363"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100437308","display_name":"Zeshui Xu","orcid":"https://orcid.org/0000-0003-3547-2908"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zeshui Xu","raw_affiliation_strings":["Business School, Sichuan University, Chengdu, Sichuan, China"],"affiliations":[{"raw_affiliation_string":"Business School, Sichuan University, Chengdu, Sichuan, China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100325563","display_name":"Haifeng Liu","orcid":"https://orcid.org/0000-0002-8142-0642"},"institutions":[{"id":"https://openalex.org/I4210163363","display_name":"PLA Army Engineering University","ror":"https://ror.org/05mgp8x93","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210163363"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haifeng Liu","raw_affiliation_strings":["College of Sciences, PLA University of Science and Technology, Nanjing, Jiangsu, China"],"affiliations":[{"raw_affiliation_string":"College of Sciences, PLA University of Science and Technology, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I4210163363"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103022633","display_name":"Shousheng Liu","orcid":"https://orcid.org/0000-0003-1206-7942"},"institutions":[{"id":"https://openalex.org/I4210163363","display_name":"PLA Army Engineering University","ror":"https://ror.org/05mgp8x93","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210163363"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shousheng Liu","raw_affiliation_strings":["College of Sciences, PLA University of Science and Technology, Nanjing, Jiangsu, China"],"affiliations":[{"raw_affiliation_string":"College of Sciences, PLA University of Science and Technology, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I4210163363"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100437308"],"corresponding_institution_ids":["https://openalex.org/I24185976"],"apc_list":null,"apc_paid":null,"fwci":10.7133,"has_fulltext":false,"cited_by_count":81,"citation_normalized_percentile":{"value":0.98375233,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"29","issue":"2","first_page":"731","last_page":"745"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9835000038146973,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9749000072479248,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/distance-measures","display_name":"Distance measures","score":0.8024943470954895},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.7719025611877441},{"id":"https://openalex.org/keywords/hausdorff-distance","display_name":"Hausdorff distance","score":0.6863800883293152},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.6736681461334229},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.655409038066864},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.5651583671569824},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5453294515609741},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5154739022254944},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5054366588592529},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4725750982761383},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4325403869152069},{"id":"https://openalex.org/keywords/minkowski-distance","display_name":"Minkowski distance","score":0.41015350818634033},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3874431550502777},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1851925253868103},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.07506251335144043}],"concepts":[{"id":"https://openalex.org/C2639959","wikidata":"https://www.wikidata.org/wiki/Q1344778","display_name":"Distance measures","level":2,"score":0.8024943470954895},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.7719025611877441},{"id":"https://openalex.org/C141898687","wikidata":"https://www.wikidata.org/wiki/Q1501997","display_name":"Hausdorff distance","level":2,"score":0.6863800883293152},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.6736681461334229},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.655409038066864},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5651583671569824},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5453294515609741},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5154739022254944},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5054366588592529},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4725750982761383},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4325403869152069},{"id":"https://openalex.org/C110765721","wikidata":"https://www.wikidata.org/wiki/Q2414361","display_name":"Minkowski distance","level":3,"score":0.41015350818634033},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3874431550502777},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1851925253868103},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.07506251335144043},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-141474","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-141474","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7799999713897705,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W967023765","https://openalex.org/W1594086218","https://openalex.org/W1597263797","https://openalex.org/W1816134045","https://openalex.org/W1980564456","https://openalex.org/W1982034525","https://openalex.org/W1982618675","https://openalex.org/W1991419869","https://openalex.org/W1998274657","https://openalex.org/W2015282411","https://openalex.org/W2049798354","https://openalex.org/W2050262998","https://openalex.org/W2068843436","https://openalex.org/W2076808107","https://openalex.org/W2079767857","https://openalex.org/W2087501680","https://openalex.org/W2099469179","https://openalex.org/W2103404435","https://openalex.org/W2113693055","https://openalex.org/W2125906479","https://openalex.org/W2131390763","https://openalex.org/W2167967165","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4292078529","https://openalex.org/W6662985900","https://openalex.org/W6667787319","https://openalex.org/W6679780668"],"related_works":["https://openalex.org/W1642991110","https://openalex.org/W2099469179","https://openalex.org/W2300277393","https://openalex.org/W2069576811","https://openalex.org/W2026046060","https://openalex.org/W4312786632","https://openalex.org/W2271317061","https://openalex.org/W2336756799","https://openalex.org/W2969852833","https://openalex.org/W2610833308"],"abstract_inverted_index":{"Abstract":[0],"Dual":[1],"hesitant":[2,19],"fuzzy":[3,13,16,20],"set":[4,10,17,21],"(DHFS)":[5],"is":[6],"a":[7],"very":[8],"comprehensive":[9],"which":[11],"includes":[12],"set,":[14],"intuition":[15],"and":[18,27,50,61,72,75,86,90],"as":[22,37],"its":[23],"special":[24],"cases.":[25],"Distance":[26],"similarity":[28,51,73],"measures":[29,52,74],"play":[30],"great":[31],"roles":[32],"in":[33,78,94],"many":[34],"areas,":[35],"such":[36],"decision":[38],"making,":[39],"pattern":[40,79],"recognition,":[41],"etc.":[42],"In":[43],"this":[44],"paper,":[45],"we":[46],"introduce":[47],"some":[48],"distance":[49,60,71,100],"for":[53],"DHFSs":[54,85],"based":[55],"on":[56],"Hamming":[57],"distance,":[58],"Euclidean":[59],"Hausdorff":[62],"distance.":[63],"Two":[64],"examples":[65],"are":[66,92],"used":[67],"to":[68],"illustrate":[69],"these":[70],"their":[76],"applications":[77],"recognition.":[80],"Finally,":[81],"the":[82,87,98],"comparisons":[83],"among":[84],"corresponding":[88],"IVIFSs":[89],"HFSs":[91],"made":[93],"detail":[95],"by":[96],"utilizing":[97],"developed":[99],"measures.":[101]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-06T07:47:59.780226","created_date":"2025-10-10T00:00:00"}