{"id":"https://openalex.org/W4283018875","doi":"https://doi.org/10.1007/s40815-022-01328-6","title":"Distance Measure of Hesitant Fuzzy Sets and its Application in Image Segmentation","display_name":"Distance Measure of Hesitant Fuzzy Sets and its Application in Image Segmentation","publication_year":2022,"publication_date":"2022-06-17","ids":{"openalex":"https://openalex.org/W4283018875","doi":"https://doi.org/10.1007/s40815-022-01328-6"},"language":"en","primary_location":{"id":"doi:10.1007/s40815-022-01328-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40815-022-01328-6","pdf_url":null,"source":{"id":"https://openalex.org/S18792341","display_name":"International Journal of Fuzzy Systems","issn_l":"1562-2479","issn":["1562-2479","2199-3211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of 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/A5080923132","display_name":"Wenyi Zeng","orcid":"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":false,"raw_author_name":"Wenyi Zeng","raw_affiliation_strings":["School of Artificial Intelligence, Beijing Normal University, Beijing, 100875, People\u2019s Republic of China","School of Artificial Intelligence, Beijing Normal University, Beijing, 100875, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Beijing Normal University, Beijing, 100875, People\u2019s Republic of China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"School of Artificial Intelligence, Beijing Normal University, Beijing, 100875, People's Republic of China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021901134","display_name":"Rong Ma","orcid":"https://orcid.org/0000-0002-7828-7932"},"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":"Rong Ma","raw_affiliation_strings":["School of Artificial Intelligence, Beijing Normal University, Beijing, 100875, People\u2019s Republic of China","School of Artificial Intelligence, Beijing Normal University, Beijing, 100875, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Beijing Normal University, Beijing, 100875, People\u2019s Republic of China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"School of Artificial Intelligence, Beijing Normal University, Beijing, 100875, People's Republic of China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053160046","display_name":"Deqing Li","orcid":null},"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"]},{"id":"https://openalex.org/I4210160779","display_name":"Institute of New Materials","ror":"https://ror.org/04s8x9847","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210142748","https://openalex.org/I4210160779"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Deqing Li","raw_affiliation_strings":["Academy of Foundational Education, Neusoft Institute Guangdong, Foshan, 528200, People\u2019s Republic of China","School of Artificial Intelligence, Beijing Normal University, Beijing, 100875, People\u2019s Republic of China","School of Artificial Intelligence, Beijing Normal University, Beijing, 100875, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Academy of Foundational Education, Neusoft Institute Guangdong, Foshan, 528200, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210160779"]},{"raw_affiliation_string":"School of Artificial Intelligence, Beijing Normal University, Beijing, 100875, People\u2019s Republic of China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"School of Artificial Intelligence, Beijing Normal University, Beijing, 100875, People's Republic of China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081412949","display_name":"Qian Yin","orcid":"https://orcid.org/0000-0002-0354-5490"},"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":"Qian Yin","raw_affiliation_strings":["School of Artificial Intelligence, Beijing Normal University, Beijing, 100875, People\u2019s Republic of China","School of Artificial Intelligence, Beijing Normal University, Beijing, 100875, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Beijing Normal University, Beijing, 100875, People\u2019s Republic of China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"School of Artificial Intelligence, Beijing Normal University, Beijing, 100875, People's Republic of China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"last","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":false,"raw_author_name":"Zeshui Xu","raw_affiliation_strings":["Business School, Sichuan University, Chengdu, 610064, People\u2019s Republic of China","Business School, Sichuan University, Chengdu, 610064, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Business School, Sichuan University, Chengdu, 610064, People\u2019s Republic of China","institution_ids":["https://openalex.org/I24185976"]},{"raw_affiliation_string":"Business School, Sichuan University, Chengdu, 610064, People's Republic of China","institution_ids":["https://openalex.org/I24185976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021901134","https://openalex.org/A5081412949"],"corresponding_institution_ids":["https://openalex.org/I25254941"],"apc_list":{"value":2690,"currency":"EUR","value_usd":3490},"apc_paid":null,"fwci":1.6333,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.84430363,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"24","issue":"7","first_page":"3134","last_page":"3143"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9983999729156494,"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":0.9983999729156494,"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/T10689","display_name":"Remote-Sensing Image Classification","score":0.9825000166893005,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9800999760627747,"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/computational-intelligence","display_name":"Computational intelligence","score":0.7432662844657898},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.693959653377533},{"id":"https://openalex.org/keywords/distance-measures","display_name":"Distance measures","score":0.6722651124000549},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.6471284031867981},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.5738409757614136},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5631323456764221},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5508890748023987},{"id":"https://openalex.org/keywords/similarity-measure","display_name":"Similarity measure","score":0.5458070635795593},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5307227373123169},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.5266917943954468},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.49766018986701965},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.48872971534729004},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.44414424896240234},{"id":"https://openalex.org/keywords/feature-vector","display_name":"Feature vector","score":0.4413047730922699},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.4399200677871704},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4159581661224365},{"id":"https://openalex.org/keywords/hfss","display_name":"HFSS","score":0.41462430357933044},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39577120542526245}],"concepts":[{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.7432662844657898},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.693959653377533},{"id":"https://openalex.org/C2639959","wikidata":"https://www.wikidata.org/wiki/Q1344778","display_name":"Distance measures","level":2,"score":0.6722651124000549},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.6471284031867981},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5738409757614136},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5631323456764221},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5508890748023987},{"id":"https://openalex.org/C2776517306","wikidata":"https://www.wikidata.org/wiki/Q29017317","display_name":"Similarity measure","level":2,"score":0.5458070635795593},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5307227373123169},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.5266917943954468},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.49766018986701965},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.48872971534729004},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44414424896240234},{"id":"https://openalex.org/C83665646","wikidata":"https://www.wikidata.org/wiki/Q42139305","display_name":"Feature vector","level":2,"score":0.4413047730922699},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.4399200677871704},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4159581661224365},{"id":"https://openalex.org/C2776844852","wikidata":"https://www.wikidata.org/wiki/Q106872782","display_name":"HFSS","level":4,"score":0.41462430357933044},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39577120542526245},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C170349913","wikidata":"https://www.wikidata.org/wiki/Q13402882","display_name":"Microstrip antenna","level":3,"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/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40815-022-01328-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40815-022-01328-6","pdf_url":null,"source":{"id":"https://openalex.org/S18792341","display_name":"International Journal of Fuzzy Systems","issn_l":"1562-2479","issn":["1562-2479","2199-3211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8100000023841858}],"awards":[{"id":"https://openalex.org/G1935081280","display_name":null,"funder_award_id":"U2031136","funder_id":"https://openalex.org/F4320335983","funder_display_name":"National Natural Science Foundation of China-Shandong Joint Fund for Marine Science Research Centers"}],"funders":[{"id":"https://openalex.org/F4320335983","display_name":"National Natural Science Foundation of China-Shandong Joint Fund for Marine Science Research Centers","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W566653638","https://openalex.org/W602086847","https://openalex.org/W896919041","https://openalex.org/W1738594383","https://openalex.org/W1761432600","https://openalex.org/W1969352744","https://openalex.org/W1978062397","https://openalex.org/W1980564456","https://openalex.org/W1983343002","https://openalex.org/W1984502995","https://openalex.org/W1991419869","https://openalex.org/W1991482489","https://openalex.org/W1998097302","https://openalex.org/W2001201684","https://openalex.org/W2002574279","https://openalex.org/W2003884557","https://openalex.org/W2013951629","https://openalex.org/W2014573407","https://openalex.org/W2023671427","https://openalex.org/W2028612155","https://openalex.org/W2032066396","https://openalex.org/W2044313855","https://openalex.org/W2049627382","https://openalex.org/W2050262998","https://openalex.org/W2068069653","https://openalex.org/W2079767857","https://openalex.org/W2089807790","https://openalex.org/W2091287769","https://openalex.org/W2094298237","https://openalex.org/W2152382688","https://openalex.org/W2157452305","https://openalex.org/W2164458769","https://openalex.org/W2167967165","https://openalex.org/W2178918608","https://openalex.org/W2321837546","https://openalex.org/W2330022088","https://openalex.org/W2548435430","https://openalex.org/W2768983211","https://openalex.org/W2793796927","https://openalex.org/W2802190128","https://openalex.org/W2909854317","https://openalex.org/W3011110239","https://openalex.org/W3039055603","https://openalex.org/W4211007335","https://openalex.org/W4245152641","https://openalex.org/W4247219141","https://openalex.org/W4292078529"],"related_works":["https://openalex.org/W1982925424","https://openalex.org/W2087501680","https://openalex.org/W2589923430","https://openalex.org/W2902282441","https://openalex.org/W2014573407","https://openalex.org/W2014214435","https://openalex.org/W1177241668","https://openalex.org/W4399930146","https://openalex.org/W4377292228","https://openalex.org/W3111740253"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}