{"id":"https://openalex.org/W2902393417","doi":"https://doi.org/10.3233/jifs-18265","title":"Lorentzian knowledge measures for atanassov\u2019s intuitionistic fuzzy sets","display_name":"Lorentzian knowledge measures for atanassov\u2019s intuitionistic fuzzy sets","publication_year":2018,"publication_date":"2018-11-28","ids":{"openalex":"https://openalex.org/W2902393417","doi":"https://doi.org/10.3233/jifs-18265","mag":"2902393417"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-18265","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-18265","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 &amp; 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/A5101467075","display_name":"Min Qi","orcid":"https://orcid.org/0000-0003-2521-1800"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Min Qi","raw_affiliation_strings":["Department of Basic Teaching, Beijing College of Finance and Commerce, Beijing, PR China"],"affiliations":[{"raw_affiliation_string":"Department of Basic Teaching, Beijing College of Finance and Commerce, Beijing, PR China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091305859","display_name":"Zhanpeng Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210110458","display_name":"Institute of Electronics","ror":"https://ror.org/01z143507","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210110458"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhanpeng Yang","raw_affiliation_strings":["Key Laboratory of Technology in Geo-spatial Information Processing and Application System, Institute of Electronics, Chinese Academy of Sciences, Beijing, PR China","E-mail:"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Technology in Geo-spatial Information Processing and Application System, Institute of Electronics, Chinese Academy of Sciences, Beijing, PR China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210110458"]},{"raw_affiliation_string":"E-mail:","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039672587","display_name":"Wenjuan Ren","orcid":"https://orcid.org/0009-0009-2950-1224"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210110458","display_name":"Institute of Electronics","ror":"https://ror.org/01z143507","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210110458"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenjuan Ren","raw_affiliation_strings":["Key Laboratory of Technology in Geo-spatial Information Processing and Application System, Institute of Electronics, Chinese Academy of Sciences, Beijing, PR China","E-mail:"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Technology in Geo-spatial Information Processing and Application System, Institute of Electronics, Chinese Academy of Sciences, Beijing, PR China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210110458"]},{"raw_affiliation_string":"E-mail:","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101404293","display_name":"Hongqi Wang","orcid":"https://orcid.org/0000-0002-5172-571X"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210110458","display_name":"Institute of Electronics","ror":"https://ror.org/01z143507","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210110458"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongqi Wang","raw_affiliation_strings":["Key Laboratory of Technology in Geo-spatial Information Processing and Application System, Institute of Electronics, Chinese Academy of Sciences, Beijing, PR China","E-mail:"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Technology in Geo-spatial Information Processing and Application System, Institute of Electronics, Chinese Academy of Sciences, Beijing, PR China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210110458"]},{"raw_affiliation_string":"E-mail:","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5091305859"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210110458"],"apc_list":null,"apc_paid":null,"fwci":0.2117,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.61791895,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"36","issue":"1","first_page":"473","last_page":"486"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9955999851226807,"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":0.9955999851226807,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.98580002784729,"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"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9848999977111816,"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":0.4207155704498291},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3507329821586609}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4207155704498291},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3507329821586609}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-18265","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-18265","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 &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W624701991","https://openalex.org/W1177241668","https://openalex.org/W1980564456","https://openalex.org/W1995972849","https://openalex.org/W1996937753","https://openalex.org/W2011023980","https://openalex.org/W2014086540","https://openalex.org/W2019633123","https://openalex.org/W2026244788","https://openalex.org/W2028276782","https://openalex.org/W2029074979","https://openalex.org/W2031241748","https://openalex.org/W2043376473","https://openalex.org/W2044313855","https://openalex.org/W2056021265","https://openalex.org/W2065471531","https://openalex.org/W2070545443","https://openalex.org/W2079767857","https://openalex.org/W2083141276","https://openalex.org/W2086869454","https://openalex.org/W2093617335","https://openalex.org/W2094298237","https://openalex.org/W2097403045","https://openalex.org/W2146489275","https://openalex.org/W2196181906","https://openalex.org/W2205336636","https://openalex.org/W2208115510","https://openalex.org/W2208264322","https://openalex.org/W2343818608","https://openalex.org/W2526456402","https://openalex.org/W2555228936","https://openalex.org/W2587630422","https://openalex.org/W2610833308","https://openalex.org/W2754849094","https://openalex.org/W2771639180","https://openalex.org/W2775083246","https://openalex.org/W2789613617","https://openalex.org/W2799561996","https://openalex.org/W2888572347","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053"],"abstract_inverted_index":{"The":[0],"Lorentzian":[1,25],"manifold":[2],"theory":[3],"is":[4,155,175],"an":[5],"important":[6],"research":[7],"object":[8],"in":[9,63,100,119,143],"mathematical":[10],"physics.":[11],"In":[12,81],"this":[13],"paper,":[14],"we":[15,51,86],"propose":[16],"four":[17],"generalized":[18],"Lorentzian-like":[19],"knowledge":[20,43,49,61,191],"measures":[21,62,192],"deduced":[22],"by":[23,77],"the":[24,38,41,64,67,93,96,101,104,109,116,124,129,132,138,144,148,168,179,182,189],"inner":[26],"product":[27],"for":[28,59,72],"intuitionistic":[29,73,134],"fuzzy":[30,74,135],"sets.":[31],"Some":[32],"theorems":[33],"are":[34,112,161],"given":[35],"to":[36,83],"show":[37,107,187],"properties":[39],"of":[40,66,69,95,147,181],"constructed":[42],"measures.":[44],"Compared":[45],"with":[46,137],"some":[47,57,60,88,184],"other":[48],"measures,":[50],"point":[52],"out":[53],"that":[54,108,131,157,188],"there":[55],"exists":[56],"counterexamples":[58],"frame":[65],"axiom":[68],"entropy":[70],"measure":[71],"set":[75],"defined":[76],"Szmidt":[78],"and":[79,167],"Kacprzyk.":[80],"order":[82,98,117,125,139],"reduce":[84],"counterexamples,":[85],"give":[87],"modified":[89,110],"orders":[90,111],"which":[91],"extend":[92],"definition":[94],"classical":[97],"\u2aaf":[99,118,140],"axiom.":[102],"And":[103],"numerical":[105,185],"experiments":[106,186],"more":[113],"general":[114],"than":[115],"a":[120,171],"sense,":[121],"such":[122],"as":[123],"\u227e":[126],"can":[127],"break":[128],"constraint":[130],"two":[133],"sets":[136],"must":[141],"fall":[142],"either":[145],"side":[146],"line":[149],"y":[150],"=":[151],"x":[152],".":[153],"It":[154],"noteworthy":[156],"these":[158],"binary":[159],"relations":[160],"not":[162],"strict":[163],"partially":[164],"ordered":[165],"relations,":[166],"problem,":[169],"constructing":[170],"universal":[172],"partial":[173],"order,":[174],"still":[176],"open.":[177],"At":[178],"end":[180],"paper":[183],"proposed":[190],"work":[193],"well":[194],"on":[195],"different":[196],"datasets.":[197]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-02-07T06:11:34.122080","created_date":"2025-10-10T00:00:00"}
