{"id":"https://openalex.org/W2138059248","doi":"https://doi.org/10.1109/fuzzy.2010.5584432","title":"Continuous fuzzy sets as probabilities of continuous fuzzy events","display_name":"Continuous fuzzy sets as probabilities of continuous fuzzy events","publication_year":2010,"publication_date":"2010-07-01","ids":{"openalex":"https://openalex.org/W2138059248","doi":"https://doi.org/10.1109/fuzzy.2010.5584432","mag":"2138059248"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2010.5584432","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2010.5584432","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Conference on Fuzzy Systems","raw_type":"proceedings-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/A5088068683","display_name":"Elisabeth Rakus-Andersson","orcid":"https://orcid.org/0000-0002-9920-7946"},"institutions":[{"id":"https://openalex.org/I52719799","display_name":"Blekinge Institute of Technology","ror":"https://ror.org/0093a8w51","country_code":"SE","type":"education","lineage":["https://openalex.org/I52719799"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Elisabeth Rakus-Andersson","raw_affiliation_strings":["Blekinge Institute of Technology, Karlskrona, Sweden","Blekinge Institute of Technology, Karlskrona SE-37179, Sweden"],"affiliations":[{"raw_affiliation_string":"Blekinge Institute of Technology, Karlskrona, Sweden","institution_ids":["https://openalex.org/I52719799"]},{"raw_affiliation_string":"Blekinge Institute of Technology, Karlskrona SE-37179, Sweden","institution_ids":["https://openalex.org/I52719799"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5088068683"],"corresponding_institution_ids":["https://openalex.org/I52719799"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.15713412,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9997000098228455,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9932000041007996,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.992900013923645,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.7634496688842773},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6506276726722717},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.6490737199783325},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.6471946239471436},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6308766007423401},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.6097306609153748},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.608414351940155},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5043512582778931},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.4980947971343994},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.47764861583709717},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.43745291233062744},{"id":"https://openalex.org/keywords/fuzzy-associative-matrix","display_name":"Fuzzy associative matrix","score":0.42528003454208374},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33217817544937134},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3115968704223633}],"concepts":[{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.7634496688842773},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6506276726722717},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.6490737199783325},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.6471946239471436},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6308766007423401},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.6097306609153748},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.608414351940155},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5043512582778931},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.4980947971343994},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.47764861583709717},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.43745291233062744},{"id":"https://openalex.org/C144170203","wikidata":"https://www.wikidata.org/wiki/Q5511099","display_name":"Fuzzy associative matrix","level":5,"score":0.42528003454208374},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33217817544937134},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3115968704223633}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2010.5584432","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2010.5584432","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Conference on Fuzzy Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5199999809265137,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W36520624","https://openalex.org/W114380232","https://openalex.org/W331613240","https://openalex.org/W628979136","https://openalex.org/W1025697901","https://openalex.org/W1179163935","https://openalex.org/W1202310638","https://openalex.org/W1202482581","https://openalex.org/W1480643874","https://openalex.org/W1538607327","https://openalex.org/W1543339541","https://openalex.org/W1551883753","https://openalex.org/W1561699096","https://openalex.org/W1589037681","https://openalex.org/W1794418397","https://openalex.org/W1851169063","https://openalex.org/W1973822995","https://openalex.org/W1983618586","https://openalex.org/W1994178762","https://openalex.org/W2025769867","https://openalex.org/W2038190934","https://openalex.org/W2059785867","https://openalex.org/W2069069851","https://openalex.org/W2082099472","https://openalex.org/W2170226714","https://openalex.org/W2912565176","https://openalex.org/W4205772790","https://openalex.org/W4211007335","https://openalex.org/W4235216599","https://openalex.org/W6601471376","https://openalex.org/W6665622373"],"related_works":["https://openalex.org/W2395193699","https://openalex.org/W2674573885","https://openalex.org/W2037428035","https://openalex.org/W2375182298","https://openalex.org/W2166637398","https://openalex.org/W2336923272","https://openalex.org/W2048452567","https://openalex.org/W2347394627","https://openalex.org/W3186561448","https://openalex.org/W2025902904"],"abstract_inverted_index":{"In":[0,77],"the":[1,13,16,30,37,45,60,81,97,107,112,115,132],"first":[2],"part":[3],"of":[4,35,58,62,95,114,127,134,144,152],"this":[5,142],"study":[6],"we":[7,41,52,83,123,139],"explore":[8],"continuous":[9,74,128,135],"fuzzy":[10,46,50,63,71,75,88,125,129,136,154],"numbers":[11,47,89],"in":[12,131],"interval-":[14],"and":[15],"\u03b1-cut":[17],"forms":[18],"to":[19,29,79,90,111],"detect":[20],"their":[21],"similar":[22],"nature.":[23],"The":[24],"conversion":[25],"from":[26,106],"one":[27],"form":[28,133],"other":[31],"is":[32],"a":[33,56,101],"question":[34],"using":[36],"appropriate":[38],"apparatus,":[39],"which":[40],"also":[42],"provide.":[43],"Since":[44],"can":[48],"reproduce":[49],"events":[51,130],"then":[53],"will":[54],"make":[55],"trial":[57],"extending":[59],"concept":[61],"probability,":[64],"defined":[65],"by":[66,100,118],"R.":[67],"Yager":[68],"for":[69,150],"discrete":[70,153],"events,":[72],"on":[73],"events.":[76,155],"order":[78],"fulfill":[80],"task":[82],"utilize":[84],"conclusions":[85],"made":[86],"about":[87],"propose":[91],"an":[92,119],"initial":[93],"conception":[94],"approximating":[96],"Gauss":[98],"curve":[99],"particularly":[102],"designed":[103],"function":[104],"originated":[105],"\u03c0-class":[108],"functions.":[109],"Due":[110],"procedure":[113],"approximation,":[116],"characterized":[117],"irrelevant":[120],"cumulative":[121],"error,":[122],"expand":[124],"probabilities":[126,151],"sets.":[137],"Furthermore,":[138],"assume":[140],"that":[141],"sort":[143],"probability":[145],"holds":[146],"some":[147],"conditions":[148],"formulated":[149]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}