{"id":"https://openalex.org/W2087914634","doi":"https://doi.org/10.1109/fuzz-ieee.2012.6250827","title":"Sugeno fuzzy integral generalizations for Sub-normal Fuzzy set-valued inputs","display_name":"Sugeno fuzzy integral generalizations for Sub-normal Fuzzy set-valued inputs","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W2087914634","doi":"https://doi.org/10.1109/fuzz-ieee.2012.6250827","mag":"2087914634"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2012.6250827","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2012.6250827","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Fuzzy Systems","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/1268601","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076164452","display_name":"Derek T. Anderson","orcid":"https://orcid.org/0000-0003-4909-029X"},"institutions":[{"id":"https://openalex.org/I99041443","display_name":"Mississippi State University","ror":"https://ror.org/0432jq872","country_code":"US","type":"education","lineage":["https://openalex.org/I4210141039","https://openalex.org/I99041443"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. T. Anderson","raw_affiliation_strings":["Electrical and Computer Engineering, Mississippi State University, MS, USA","Mississippi State University, Electrical and Computer Engineering, Mississippi State, 39759, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering, Mississippi State University, MS, USA","institution_ids":["https://openalex.org/I99041443"]},{"raw_affiliation_string":"Mississippi State University, Electrical and Computer Engineering, Mississippi State, 39759, USA","institution_ids":["https://openalex.org/I99041443"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060923133","display_name":"Timothy C. Havens","orcid":"https://orcid.org/0000-0002-5746-3749"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T. C. Havens","raw_affiliation_strings":["Computer Science and Engineering, Michigan State University, East Lansing, MI, USA","Michigan State University, Computer Science and Engineering, East Lansing, 48824, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and Engineering, Michigan State University, East Lansing, MI, USA","institution_ids":["https://openalex.org/I87216513"]},{"raw_affiliation_string":"Michigan State University, Computer Science and Engineering, East Lansing, 48824, USA","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070095814","display_name":"Christian Wagner","orcid":"https://orcid.org/0000-0002-6121-9722"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"C. Wagner","raw_affiliation_strings":["School of Computer Science, University of Nottingham, Nottingham, UK","University of Nottingham, School of Computer Science, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Nottingham, Nottingham, UK","institution_ids":["https://openalex.org/I142263535"]},{"raw_affiliation_string":"University of Nottingham, School of Computer Science, United Kingdom","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018303984","display_name":"James M. Keller","orcid":"https://orcid.org/0000-0002-0306-7142"},"institutions":[{"id":"https://openalex.org/I76835614","display_name":"University of Missouri","ror":"https://ror.org/02ymw8z06","country_code":"US","type":"education","lineage":["https://openalex.org/I76835614"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. M. Keller","raw_affiliation_strings":["Electrical and Computer Engineering, University of Missouri, Columbia, MO, USA","University of Missouri, Electrical and Computer Engineering, Columbia, 65202, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering, University of Missouri, Columbia, MO, USA","institution_ids":["https://openalex.org/I76835614"]},{"raw_affiliation_string":"University of Missouri, Electrical and Computer Engineering, Columbia, 65202, USA","institution_ids":["https://openalex.org/I76835614"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078001923","display_name":"Melissa Anderson","orcid":null},"institutions":[{"id":"https://openalex.org/I76835614","display_name":"University of Missouri","ror":"https://ror.org/02ymw8z06","country_code":"US","type":"education","lineage":["https://openalex.org/I76835614"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. F. Anderson","raw_affiliation_strings":["University of Missouri, Electrical and Computer Engineering, Columbia, 65202, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Missouri, Electrical and Computer Engineering, Columbia, 65202, USA","institution_ids":["https://openalex.org/I76835614"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020656509","display_name":"Daniel J. Wescott","orcid":"https://orcid.org/0000-0002-4536-8525"},"institutions":[{"id":"https://openalex.org/I13511017","display_name":"Texas State University","ror":"https://ror.org/05h9q1g27","country_code":"US","type":"education","lineage":["https://openalex.org/I13511017"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. J. Wescott","raw_affiliation_strings":["Department of Anthropology, Texas State University, San Marcos, San Marcos, TX, USA","Texas State University, Department of Anthropology, San Marcos, 78666, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Anthropology, Texas State University, San Marcos, San Marcos, TX, USA","institution_ids":["https://openalex.org/I13511017"]},{"raw_affiliation_string":"Texas State University, Department of Anthropology, San Marcos, 78666, USA","institution_ids":["https://openalex.org/I13511017"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"70","issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9866999983787537,"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":0.9866999983787537,"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":0.9739000201225281,"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/mathematics","display_name":"Mathematics","score":0.7187827825546265},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.706131100654602},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.676902174949646},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5915884375572205},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5404118299484253},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.47225016355514526},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.4297352731227875},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.4171915054321289},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.41047725081443787},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4028100371360779},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3650381565093994},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2943112552165985},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23730549216270447},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22429034113883972}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7187827825546265},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.706131100654602},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.676902174949646},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5915884375572205},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5404118299484253},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.47225016355514526},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.4297352731227875},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.4171915054321289},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.41047725081443787},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4028100371360779},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3650381565093994},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2943112552165985},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23730549216270447},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22429034113883972},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/fuzz-ieee.2012.6250827","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2012.6250827","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Fuzzy Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:zenodo.org:1268601","is_oa":true,"landing_page_url":"https://zenodo.org/record/1268601","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferencePaper"}],"best_oa_location":{"id":"pmh:oai:zenodo.org:1268601","is_oa":true,"landing_page_url":"https://zenodo.org/record/1268601","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferencePaper"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W657067832","https://openalex.org/W1484881229","https://openalex.org/W1498476035","https://openalex.org/W1511176262","https://openalex.org/W1592572926","https://openalex.org/W2019155031","https://openalex.org/W2019973962","https://openalex.org/W2020499577","https://openalex.org/W2022730486","https://openalex.org/W2046933642","https://openalex.org/W2056223156","https://openalex.org/W2101206561","https://openalex.org/W2122873164","https://openalex.org/W2144556406","https://openalex.org/W2157041604","https://openalex.org/W3043771091","https://openalex.org/W4245423112","https://openalex.org/W4386694893","https://openalex.org/W6635240910"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W4388451300","https://openalex.org/W4242970302","https://openalex.org/W2571050636","https://openalex.org/W2060361571","https://openalex.org/W1975005191","https://openalex.org/W3176863924","https://openalex.org/W1485268022","https://openalex.org/W2382615100","https://openalex.org/W4361984403"],"abstract_inverted_index":{"In":[0,74,121],"prior":[1,75,177],"work,":[2,76],"Grabisch":[3],"put":[4,94],"forth":[5,95],"a":[6,60,79,126,158],"direct":[7,127],"(i.e.,":[8],"result":[9],"of":[10,15,47,67,112,129,161],"the":[11,16,65,68,110,113,130,141,154,179,223],"Extension":[12],"Principle)":[13],"generalization":[14,128],"Sugeno":[17,119,131],"fuzzy":[18,22,33,51,57],"integral":[19],"(FI)":[20],"for":[21,70,100,133,166],"set":[23],"(FS)-valued":[24],"normal":[25,54],"(height":[26],"equal":[27],"to":[28,175,209,215],"one)":[29],"integrands":[30,136],"and":[31,44,56,88,116,137,169,189,220],"number-based":[32],"measures":[34],"(FMs).":[35],"Grabisch's":[36,162],"proof":[37],"is":[38,64,157,207],"based":[39,108],"in":[40,83,192,199],"large":[41],"on":[42,49,109],"Dubois":[43],"Prade's":[45],"analysis":[46],"functions":[48],"intervals,":[50],"numbers":[52],"(thus":[53],"FSs)":[55],"arithmetic.":[58],"However,":[59],"case":[61,160],"not":[62],"studied":[63],"extension":[66],"FI":[69,132,224],"sub-normal":[71,90,105,134],"FS":[72,91,102,106,135],"integrands.":[73],"we":[77,124],"described":[78],"real-world":[80],"forensic":[81],"application":[82],"anthropology":[84],"that":[85,153,187,198],"requires":[86],"fusion":[87],"has":[89],"inputs.":[92],"We":[93,196],"an":[96],"alternative":[97],"non-direct":[98],"approach":[99],"calculating":[101,167],"results":[103],"from":[104],"inputs":[107],"use":[111],"number-valued":[114,117],"integrand":[115],"FM":[118],"FI.":[120],"this":[122],"article,":[123],"discuss":[125],"numeric":[138],"FMs,":[139],"called":[140],"Sub-normal":[142],"Fuzzy":[143,181],"Integral":[144,182],"(SuFI).":[145],"To":[146],"no":[147],"great":[148],"surprise,":[149],"it":[150],"turns":[151,185],"out":[152,186],"SuFI":[155,168,188],"algorithm":[156,165],"special":[159],"generalization.":[163],"An":[164],"its":[170],"mathematical":[171],"properties":[172],"are":[173,213],"compared":[174],"our":[176],"method,":[178],"Non-Direct":[180],"(NDFI).":[183],"It":[184],"NDFI":[190,206],"fuse":[191],"very":[193],"different":[194],"ways.":[195],"assert":[197],"some":[200],"settings,":[201],"e.g.,":[202],"skeletal":[203],"age-at-death":[204],"estimation,":[205],"preferred":[208],"SuFI.":[210],"Numeric":[211],"examples":[212],"provided":[214],"stress":[216],"important":[217],"inner":[218],"workings":[219],"differences":[221],"between":[222],"generalizations.":[225]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
