{"id":"https://openalex.org/W2811383675","doi":"https://doi.org/10.1109/fskd.2017.8392920","title":"Fuzzy measures defined by pan-integral","display_name":"Fuzzy measures defined by pan-integral","publication_year":2017,"publication_date":"2017-07-01","ids":{"openalex":"https://openalex.org/W2811383675","doi":"https://doi.org/10.1109/fskd.2017.8392920","mag":"2811383675"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2017.8392920","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2017.8392920","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 13th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD)","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/A5053279733","display_name":"Minhao Yu","orcid":null},"institutions":[{"id":"https://openalex.org/I75689368","display_name":"Communication University of China","ror":"https://ror.org/04facbs33","country_code":"CN","type":"education","lineage":["https://openalex.org/I75689368"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Minhao Yu","raw_affiliation_strings":["School of Sciences, Communication University of China, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Sciences, Communication University of China, Beijing, China","institution_ids":["https://openalex.org/I75689368"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057259097","display_name":"Jun Li","orcid":"https://orcid.org/0000-0002-5418-4621"},"institutions":[{"id":"https://openalex.org/I75689368","display_name":"Communication University of China","ror":"https://ror.org/04facbs33","country_code":"CN","type":"education","lineage":["https://openalex.org/I75689368"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Li","raw_affiliation_strings":["School of Sciences, Communication University of China, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Sciences, Communication University of China, Beijing, China","institution_ids":["https://openalex.org/I75689368"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042039979","display_name":"Xiaoli Hu","orcid":null},"institutions":[{"id":"https://openalex.org/I75689368","display_name":"Communication University of China","ror":"https://ror.org/04facbs33","country_code":"CN","type":"education","lineage":["https://openalex.org/I75689368"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoli Hu","raw_affiliation_strings":["School of Sciences, Communication University of China, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Sciences, Communication University of China, Beijing, China","institution_ids":["https://openalex.org/I75689368"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012195588","display_name":"Yongjing Ji","orcid":null},"institutions":[{"id":"https://openalex.org/I75689368","display_name":"Communication University of China","ror":"https://ror.org/04facbs33","country_code":"CN","type":"education","lineage":["https://openalex.org/I75689368"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongjing Ji","raw_affiliation_strings":["School of Sciences, Communication University of China, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Sciences, Communication University of China, Beijing, China","institution_ids":["https://openalex.org/I75689368"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5053279733"],"corresponding_institution_ids":["https://openalex.org/I75689368"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.21529676,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"310","issue":null,"first_page":"1118","last_page":"1121"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9987999796867371,"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":0.9987999796867371,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9980999827384949,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9943000078201294,"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/subadditivity","display_name":"Subadditivity","score":0.9091329574584961},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.7255022525787354},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.690393328666687},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6876748204231262},{"id":"https://openalex.org/keywords/choquet-integral","display_name":"Choquet integral","score":0.5703299045562744},{"id":"https://openalex.org/keywords/daniell-integral","display_name":"Daniell integral","score":0.5190392136573792},{"id":"https://openalex.org/keywords/additive-function","display_name":"Additive function","score":0.50477135181427},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.48557087779045105},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.4847992956638336},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43323221802711487},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.42025476694107056},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40334123373031616},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3972027003765106},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3856114447116852},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.30076366662979126},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.27446967363357544},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25661107897758484},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23458024859428406},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13673710823059082},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.09108364582061768},{"id":"https://openalex.org/keywords/fourier-integral-operator","display_name":"Fourier integral operator","score":0.0599001944065094}],"concepts":[{"id":"https://openalex.org/C19220575","wikidata":"https://www.wikidata.org/wiki/Q1934099","display_name":"Subadditivity","level":2,"score":0.9091329574584961},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.7255022525787354},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.690393328666687},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6876748204231262},{"id":"https://openalex.org/C112799922","wikidata":"https://www.wikidata.org/wiki/Q5104911","display_name":"Choquet integral","level":3,"score":0.5703299045562744},{"id":"https://openalex.org/C134810832","wikidata":"https://www.wikidata.org/wiki/Q2996956","display_name":"Daniell integral","level":4,"score":0.5190392136573792},{"id":"https://openalex.org/C38803922","wikidata":"https://www.wikidata.org/wiki/Q95745348","display_name":"Additive function","level":2,"score":0.50477135181427},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.48557087779045105},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.4847992956638336},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43323221802711487},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.42025476694107056},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40334123373031616},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3972027003765106},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3856114447116852},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.30076366662979126},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.27446967363357544},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25661107897758484},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23458024859428406},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13673710823059082},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.09108364582061768},{"id":"https://openalex.org/C191832335","wikidata":"https://www.wikidata.org/wiki/Q4262191","display_name":"Fourier integral operator","level":3,"score":0.0599001944065094},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2017.8392920","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2017.8392920","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 13th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD)","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":40,"referenced_works":["https://openalex.org/W66762465","https://openalex.org/W169692285","https://openalex.org/W610008432","https://openalex.org/W617487210","https://openalex.org/W988900036","https://openalex.org/W1481142035","https://openalex.org/W1505196626","https://openalex.org/W1506515663","https://openalex.org/W1579549043","https://openalex.org/W1965529326","https://openalex.org/W1969304434","https://openalex.org/W1971198428","https://openalex.org/W1979347230","https://openalex.org/W1981737781","https://openalex.org/W1984206863","https://openalex.org/W1985047605","https://openalex.org/W1987010138","https://openalex.org/W1992786123","https://openalex.org/W2008536444","https://openalex.org/W2016812781","https://openalex.org/W2019409444","https://openalex.org/W2020202968","https://openalex.org/W2031700918","https://openalex.org/W2033810643","https://openalex.org/W2040789133","https://openalex.org/W2041302791","https://openalex.org/W2054478650","https://openalex.org/W2071691897","https://openalex.org/W2076045513","https://openalex.org/W2080764889","https://openalex.org/W2087171145","https://openalex.org/W2092747139","https://openalex.org/W2099727673","https://openalex.org/W2099847272","https://openalex.org/W2105340979","https://openalex.org/W2475669847","https://openalex.org/W2626496704","https://openalex.org/W3043771091","https://openalex.org/W4205215823","https://openalex.org/W6739966292"],"related_works":["https://openalex.org/W4241386906","https://openalex.org/W2000423901","https://openalex.org/W2036819250","https://openalex.org/W2202478323","https://openalex.org/W2352666567","https://openalex.org/W3047472495","https://openalex.org/W2082087897","https://openalex.org/W2044366386","https://openalex.org/W2293784784","https://openalex.org/W4213046089"],"abstract_inverted_index":{"Considering":[0],"a":[1,9,28,76],"given":[2,10],"pan-space":[3],"(X,":[4,16,37],"A,\u03bc,":[5],"R+,\u2295,":[6],"\u2297)":[7,26,81],"and":[8,24,65],"nonnegative":[11],"measurable":[12],"function":[13],"f":[14,21],"on":[15,36,75,87,95],"A),":[17],"the":[18,66,72,83,91,99,104,110,115,123],"pan-integral":[19,73],"of":[20,48,78],"w.r.t":[22],"\u03bc":[23],"(\u2295,":[25,80],"determines":[27],"new":[29,40],"fuzzy":[30,41,49],"measure":[31,42],"v":[32],"<sub":[33],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[34],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">f</sub>":[35],"A).":[38],"Such":[39],"preserves":[43],"some":[44,119],"important":[45],"structural":[46],"characteristics":[47],"measures,":[50],"such":[51],"as":[52],"continuity":[53,56],"from":[54,57],"below,":[55],"above,":[58],"strong":[59],"order":[60],"continuity,":[61],"autocontinuity,":[62],"null-additivity,":[63],"subadditivity":[64],"pseudometric":[67],"generating":[68],"property,":[69],"etc.":[70],"Since":[71],"based":[74],"pair":[77],"pan-operations":[79],"covers":[82],"Sugeno":[84,105],"integral":[85,93,106],"(based":[86,94],"(V,":[88,96],"\u2227))":[89],"while":[90],"Shilkret":[92,124],"\u00b7)),":[97],"therefore,":[98],"previous":[100],"related":[101,122],"results":[102,111,121],"for":[103],"are":[107],"covered":[108],"by":[109],"presented":[112],"here,":[113],"in":[114],"meantime,":[116],"we":[117],"obtain":[118],"special":[120],"integral.":[125]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
