{"id":"https://openalex.org/W4415125822","doi":"https://doi.org/10.1109/fuzz62266.2025.11197610","title":"A Bounded Lattice of Normal and Non-Normal Secondary Membership Functions and an Application in CWW","display_name":"A Bounded Lattice of Normal and Non-Normal Secondary Membership Functions and an Application in CWW","publication_year":2025,"publication_date":"2025-07-06","ids":{"openalex":"https://openalex.org/W4415125822","doi":"https://doi.org/10.1109/fuzz62266.2025.11197610"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz62266.2025.11197610","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz62266.2025.11197610","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Conference on Fuzzy Systems (FUZZ)","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/A5078829305","display_name":"Peter Sussner","orcid":"https://orcid.org/0000-0002-8457-7127"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Peter Sussner","raw_affiliation_strings":["IMECC, Universidade Estadual de Campinas,Department of Applied Mathematics,Campinas,Brazil"],"affiliations":[{"raw_affiliation_string":"IMECC, Universidade Estadual de Campinas,Department of Applied Mathematics,Campinas,Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028058821","display_name":"Tiago da Silva Alencar","orcid":null},"institutions":[{"id":"https://openalex.org/I4210162876","display_name":"Universidade Regional do Cariri","ror":"https://ror.org/05y26ar20","country_code":"BR","type":"education","lineage":["https://openalex.org/I4210162876"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Tiago da Silva Alencar","raw_affiliation_strings":["Universidade Regional do Cariri,Department of Pure and Applied Mathematics,Crato,Brazil,CE 63105-000"],"affiliations":[{"raw_affiliation_string":"Universidade Regional do Cariri,Department of Pure and Applied Mathematics,Crato,Brazil,CE 63105-000","institution_ids":["https://openalex.org/I4210162876"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078829305"],"corresponding_institution_ids":["https://openalex.org/I181391015"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.42810843,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.59170001745224,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.59170001745224,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7577999830245972},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5708000063896179},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5198000073432922},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.42890000343322754},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.3937000036239624},{"id":"https://openalex.org/keywords/uniform-boundedness","display_name":"Uniform boundedness","score":0.38679999113082886},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.38499999046325684}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7577999830245972},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6646999716758728},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5708000063896179},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5198000073432922},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.42890000343322754},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4140999913215637},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.3937000036239624},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.38679999113082886},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.38499999046325684},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.3635999858379364},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3555000126361847},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32670000195503235},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.30300000309944153},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.2953000068664551},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.28700000047683716},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.2824999988079071},{"id":"https://openalex.org/C2987376176","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy inference system","level":5,"score":0.2818000018596649},{"id":"https://openalex.org/C201640847","wikidata":"https://www.wikidata.org/wiki/Q2362924","display_name":"Complete lattice","level":3,"score":0.2596000134944916}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz62266.2025.11197610","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz62266.2025.11197610","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Conference on Fuzzy Systems (FUZZ)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"To":[0],"the":[1,22,25,73,98,113,122,147],"best":[2],"of":[3,24,100,115,124],"our":[4],"knowledge,":[5],"almost":[6],"all":[7],"general":[8],"type-2":[9,34],"(GT2)":[10],"fuzzy":[11,77],"inference":[12],"systems":[13],"(FISs)":[14],"currently":[15],"used":[16,87],"in":[17,66,89,112,149,179],"practice":[18],"rely":[19],"on":[20,105],"discretizing":[21],"domains":[23],"primary":[26],"and":[27,32,38,49,63,132,158],"secondary":[28,45,61,82,128,168],"membership":[29],"functions":[30],"(MFs)":[31],"have":[33,71,85],"(T2)":[35],"inputs,":[36,156],"antecedents,":[37,157],"-":[39,42],"if":[40],"applicable":[41],"consequents":[43,159],"whose":[44,127],"MFs":[46,62,83,129],"are":[47,56,130,161],"convex":[48,101,131],"normal.":[50],"Only":[51],"a":[52,109,140,174],"few":[53],"recent":[54],"studies":[55],"concerned":[57],"with":[58,80,164,181],"non-convex,":[59],"normal":[60,167],"their":[64],"applications":[65],"T2":[67,90],"FISs.":[68,91],"Other":[69],"authors":[70],"measured":[72],"similarity":[74],"between":[75],"GT2":[76,125,153,162],"sets":[78],"(FSs)":[79],"non-normal":[81],"but":[84,135,176],"not":[86,136,165],"them":[88],"In":[92],"this":[93],"paper,":[94],"we":[95],"clarify":[96],"that":[97,121,160],"class":[99,123],"upper":[102,133],"semicontinous":[103],"FSs":[104,126,163],"[0],":[106],"[1]":[107],"yields":[108],"bounded":[110,141],"lattice":[111,142],"sense":[114],"Garrett":[116],"Birkhoff.":[117],"This":[118],"result":[119],"implies":[120],"semicontinuous,":[134],"necessarily":[137,166],"normal,":[138],"constitutes":[139],"as":[143],"well.":[144],"We":[145,170],"employ":[146],"latter":[148],"order":[150],"to":[151],"propose":[152],"FISs":[154],"having":[155],"MFs.":[169],"finish":[171],"by":[172],"presenting":[173],"simple,":[175],"novel":[177],"application":[178],"computing":[180],"words":[182],"(CWW).":[183]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-14T00:00:00"}