{"id":"https://openalex.org/W2063765263","doi":"https://doi.org/10.1109/icmlc.2010.5581005","title":"N-dimensional generalized fuzzy integrals","display_name":"N-dimensional generalized fuzzy integrals","publication_year":2010,"publication_date":"2010-07-01","ids":{"openalex":"https://openalex.org/W2063765263","doi":"https://doi.org/10.1109/icmlc.2010.5581005","mag":"2063765263"},"language":"en","primary_location":{"id":"doi:10.1109/icmlc.2010.5581005","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmlc.2010.5581005","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 International Conference on Machine Learning and Cybernetics","raw_type":"proceedings-article"},"type":"conference-paper","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/A5088491632","display_name":"Deli Zhang","orcid":"https://orcid.org/0000-0002-8891-9665"},"institutions":[{"id":"https://openalex.org/I4210156294","display_name":"Jilin Provincial Academy of Forestry Science","ror":"https://ror.org/05jfw1444","country_code":"CN","type":"other","lineage":["https://openalex.org/I4210156294"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"De-Li Zhang","raw_affiliation_strings":["Department of Mathematics, Jilin Provincial Institute of Education, Changchun, China","Dept. of Mathematics, Jilin Provincial Institute of Education, Changchun 130022, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Jilin Provincial Institute of Education, Changchun, China","institution_ids":[]},{"raw_affiliation_string":"Dept. of Mathematics, Jilin Provincial Institute of Education, Changchun 130022, China","institution_ids":["https://openalex.org/I4210156294"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100934477","display_name":"Caimei Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I49232843","display_name":"Changchun University","ror":"https://ror.org/02an57k10","country_code":"CN","type":"education","lineage":["https://openalex.org/I49232843"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cai-Mei Guo","raw_affiliation_strings":["Institute of Basic Science, Changchun University, Changchun, China","Institute of Basic Science, Changchun University, Changchun 130022, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Basic Science, Changchun University, Changchun, China","institution_ids":["https://openalex.org/I49232843"]},{"raw_affiliation_string":"Institute of Basic Science, Changchun University, Changchun 130022, China","institution_ids":["https://openalex.org/I49232843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"537","last_page":"540"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9950000047683716,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9878000020980835,"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/dimension","display_name":"Dimension (graph theory)","score":0.7391411662101746},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6555246710777283},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5071909427642822},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3907187581062317},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38138967752456665},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37381643056869507},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3473902940750122},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34651196002960205},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32781097292900085},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25306105613708496}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7391411662101746},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6555246710777283},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5071909427642822},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3907187581062317},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38138967752456665},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37381643056869507},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3473902940750122},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34651196002960205},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32781097292900085},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25306105613708496},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icmlc.2010.5581005","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmlc.2010.5581005","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 International Conference on Machine Learning and Cybernetics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1481142035","https://openalex.org/W1498476035","https://openalex.org/W1579549043","https://openalex.org/W1964851817","https://openalex.org/W1978734360","https://openalex.org/W1979347230","https://openalex.org/W1992303514","https://openalex.org/W1992786123","https://openalex.org/W2006854327","https://openalex.org/W2009302212","https://openalex.org/W2010929656","https://openalex.org/W2020499577","https://openalex.org/W2038676696","https://openalex.org/W2056160450","https://openalex.org/W2060771414","https://openalex.org/W2073142710","https://openalex.org/W2106740638","https://openalex.org/W2125624718","https://openalex.org/W3043771091","https://openalex.org/W4205215823","https://openalex.org/W6676177537"],"related_works":["https://openalex.org/W1973641256","https://openalex.org/W1987895267","https://openalex.org/W2350519135","https://openalex.org/W2089274067","https://openalex.org/W2390619334","https://openalex.org/W56994397","https://openalex.org/W1121942432","https://openalex.org/W2418069309","https://openalex.org/W2052190160","https://openalex.org/W2376158287"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3],"value":[4],"of":[5],"generalized":[6,26,35,40],"fuzzy":[7,27,36,41],"integrals":[8,28,37,42],"is":[9,43,48],"extended":[10],"from":[11],"1-dimension":[12],"real":[13],"number":[14],"to":[15],"R":[16],"<sub":[17],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[18,21],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">+</sub>":[19],"<sup":[20],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[22],",":[23],"i.e.":[24],"N-dimensional":[25,39],"are":[29],"obtained.":[30],"The":[31],"relationship":[32],"between":[33],"1-dimensional":[34],"and":[38],"discussed,":[44],"a":[45],"fundamental":[46],"theorem":[47],"shown.":[49]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}