{"id":"https://openalex.org/W2950252324","doi":"https://doi.org/10.3233/jifs-181886","title":"The new similarity measure and distance measure between hesitant fuzzy linguistic term sets and their application in multi-criteria decision making","display_name":"The new similarity measure and distance measure between hesitant fuzzy linguistic term sets and their application in multi-criteria decision making","publication_year":2019,"publication_date":"2019-06-14","ids":{"openalex":"https://openalex.org/W2950252324","doi":"https://doi.org/10.3233/jifs-181886","mag":"2950252324"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-181886","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-181886","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/A5103676047","display_name":"Liu Dong-hai","orcid":null},"institutions":[{"id":"https://openalex.org/I121296143","display_name":"Hunan University of Science and Technology","ror":"https://ror.org/02m9vrb24","country_code":"CN","type":"education","lineage":["https://openalex.org/I121296143"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Liu Donghai","raw_affiliation_strings":["Department of Statistics, Hunan University of Science and Technology, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Hunan University of Science and Technology, Hunan, China","institution_ids":["https://openalex.org/I121296143"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Liu Yuanyuan","orcid":null},"institutions":[{"id":"https://openalex.org/I121296143","display_name":"Hunan University of Science and Technology","ror":"https://ror.org/02m9vrb24","country_code":"CN","type":"education","lineage":["https://openalex.org/I121296143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liu Yuanyuan","raw_affiliation_strings":["Department of Statistics, Hunan University of Science and Technology, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Hunan University of Science and Technology, Hunan, China","institution_ids":["https://openalex.org/I121296143"]}]},{"author_position":"last","author":{"id":null,"display_name":"Chen Xiaohong","orcid":null},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]},{"id":"https://openalex.org/I77396741","display_name":"Hunan University of Technology and Business","ror":"https://ror.org/057cydn08","country_code":"CN","type":"education","lineage":["https://openalex.org/I77396741"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen Xiaohong","raw_affiliation_strings":["Business School, Central South university, Hunan, China","Mobile E-business Collaborative Innovation Center of Hunan Province, Hunan University of Commerce, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Business School, Central South university, Hunan, China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"Mobile E-business Collaborative Innovation Center of Hunan Province, Hunan University of Commerce, Hunan, China","institution_ids":["https://openalex.org/I77396741"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103676047"],"corresponding_institution_ids":["https://openalex.org/I121296143"],"apc_list":null,"apc_paid":null,"fwci":0.5932,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.71684108,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"37","issue":"1","first_page":"995","last_page":"1006"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9976000189781189,"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":0.9976000189781189,"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":0.9933000206947327,"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":0.9750000238418579,"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/measure","display_name":"Measure (data warehouse)","score":0.8566615581512451},{"id":"https://openalex.org/keywords/similarity-measure","display_name":"Similarity measure","score":0.7343677282333374},{"id":"https://openalex.org/keywords/cosine-similarity","display_name":"Cosine similarity","score":0.6947321891784668},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6446844339370728},{"id":"https://openalex.org/keywords/closeness","display_name":"Closeness","score":0.6251009106636047},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.5699805021286011},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.5367971658706665},{"id":"https://openalex.org/keywords/distance-measures","display_name":"Distance measures","score":0.49301859736442566},{"id":"https://openalex.org/keywords/topsis","display_name":"TOPSIS","score":0.4822900593280792},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4667176604270935},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.4641028642654419},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4305899441242218},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.42512083053588867},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.38293030858039856},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.364454984664917},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3414791524410248},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3328658938407898},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.2958146333694458},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.2425786554813385},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.1834157109260559},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.0643388032913208}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.8566615581512451},{"id":"https://openalex.org/C2776517306","wikidata":"https://www.wikidata.org/wiki/Q29017317","display_name":"Similarity measure","level":2,"score":0.7343677282333374},{"id":"https://openalex.org/C2780762811","wikidata":"https://www.wikidata.org/wiki/Q1784941","display_name":"Cosine similarity","level":3,"score":0.6947321891784668},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6446844339370728},{"id":"https://openalex.org/C2779545769","wikidata":"https://www.wikidata.org/wiki/Q5135364","display_name":"Closeness","level":2,"score":0.6251009106636047},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.5699805021286011},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.5367971658706665},{"id":"https://openalex.org/C2639959","wikidata":"https://www.wikidata.org/wiki/Q1344778","display_name":"Distance measures","level":2,"score":0.49301859736442566},{"id":"https://openalex.org/C51566761","wikidata":"https://www.wikidata.org/wiki/Q1235853","display_name":"TOPSIS","level":2,"score":0.4822900593280792},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4667176604270935},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.4641028642654419},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4305899441242218},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.42512083053588867},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.38293030858039856},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.364454984664917},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3414791524410248},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3328658938407898},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.2958146333694458},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.2425786554813385},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1834157109260559},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.0643388032913208},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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:10.3233/jifs-181886","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-181886","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":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.6600000262260437}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W194786220","https://openalex.org/W1177241668","https://openalex.org/W1490640961","https://openalex.org/W1973167065","https://openalex.org/W1976344728","https://openalex.org/W1978062397","https://openalex.org/W1980748255","https://openalex.org/W1991419869","https://openalex.org/W1996054841","https://openalex.org/W2002574279","https://openalex.org/W2012430137","https://openalex.org/W2036559270","https://openalex.org/W2048819046","https://openalex.org/W2063149790","https://openalex.org/W2065043952","https://openalex.org/W2076356544","https://openalex.org/W2081282960","https://openalex.org/W2117317223","https://openalex.org/W2157041604","https://openalex.org/W2293178080","https://openalex.org/W2501558883","https://openalex.org/W2506768821","https://openalex.org/W2551196604","https://openalex.org/W2587630422","https://openalex.org/W2591672333","https://openalex.org/W2610833308","https://openalex.org/W2624590269","https://openalex.org/W2664295321","https://openalex.org/W2754404541","https://openalex.org/W2765801959","https://openalex.org/W2777513486","https://openalex.org/W2779891196","https://openalex.org/W2783087774","https://openalex.org/W2789613617","https://openalex.org/W2790496953","https://openalex.org/W2792449584","https://openalex.org/W2796104695","https://openalex.org/W2797365589","https://openalex.org/W2799561996","https://openalex.org/W2889126683","https://openalex.org/W2903420388","https://openalex.org/W2918738825","https://openalex.org/W2964219651","https://openalex.org/W3150478326","https://openalex.org/W4211007335","https://openalex.org/W4238508911","https://openalex.org/W4240278385","https://openalex.org/W4245152641"],"related_works":["https://openalex.org/W2284045667","https://openalex.org/W57923944","https://openalex.org/W2981287881","https://openalex.org/W1598081081","https://openalex.org/W2056226831","https://openalex.org/W1823511492","https://openalex.org/W4386612228","https://openalex.org/W3200484643","https://openalex.org/W2009132258","https://openalex.org/W300351743"],"abstract_inverted_index":{"Considering":[0],"that":[1,108],"the":[2,21,35,42,54,64,67,71,77,81,93,98,104,113,117,127,130,142,145],"existing":[3,43,131],"cosine":[4,44,132],"similarity":[5,24,30,45,68,133],"measure":[6,31,46,50,57,69,84,115],"between":[7,66],"hesitant":[8,86],"fuzzy":[9,87],"linguistic":[10,88],"term":[11],"sets(HFLTSs)":[12],"has":[13],"an":[14,136],"impediment":[15],"as":[16],"it":[17,109],"does":[18],"not":[19,110],"satisfy":[20],"axiom":[22],"of":[23,32,51,58,103,120,129,144],"measure,":[25],"we":[26,75],"propose":[27],"a":[28],"new":[29],"HFLTSs":[33,59],"in":[34,85],"paper,":[36],"which":[37],"is":[38,60,107,138],"constructed":[39],"based":[40],"on":[41],"and":[47,70,91,122,148],"Euclidean":[48],"distance":[49,56,72,83,114],"HFLTSs.":[52],"Then":[53],"corresponding":[55],"obtained":[61],"according":[62],"to":[63,80,96,140,154],"relationship":[65],"measure.":[73,134],"Furthermore,":[74],"develop":[76],"TOPSIS":[78],"method":[79,106,147],"proposed":[82,105,146],"decision":[89],"environment":[90],"apply":[92],"closeness":[94],"coefficients":[95],"rank":[97],"alternatives.":[99],"The":[100],"main":[101],"advantage":[102],"only":[111],"considers":[112],"from":[116],"point":[118],"view":[119],"algebra":[121],"geometry":[123],"but":[124],"also":[125],"overcomes":[126],"disadvantage":[128],"Finally,":[135],"example":[137],"provided":[139],"illustrate":[141],"feasibility":[143],"some":[149],"comparative":[150],"analyses":[151],"are":[152],"given":[153],"show":[155],"its":[156],"efficiency.":[157]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}