{"id":"https://openalex.org/W2129601905","doi":"https://doi.org/10.1109/fuzzy.2008.4630407","title":"Convergences of set-valued stochastic series","display_name":"Convergences of set-valued stochastic series","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W2129601905","doi":"https://doi.org/10.1109/fuzzy.2008.4630407","mag":"2129601905"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2008.4630407","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2008.4630407","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Fuzzy Systems (IEEE World Congress on Computational Intelligence)","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/A5100889629","display_name":"Jinping Fu","orcid":null},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jinping Fu","raw_affiliation_strings":["Department of Applied Mathematics, Beijing University of Technology, Beijing, China","Dept. of Appl. Math., Beijing Univ. of Technol., Beijing"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"Dept. of Appl. Math., Beijing Univ. of Technol., Beijing","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060571396","display_name":"Shoumei Li","orcid":null},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shoumei Li","raw_affiliation_strings":["Department of Applied Mathematics, Beijing University of Technology, Beijing, China","Dept. of Appl. Math., Beijing Univ. of Technol., Beijing"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Beijing University of Technology, Beijing, China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"Dept. of Appl. Math., Beijing Univ. of Technol., Beijing","institution_ids":["https://openalex.org/I37796252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100889629"],"corresponding_institution_ids":["https://openalex.org/I37796252"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15771622,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"449","last_page":"454"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9789999723434448,"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"}},{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9754999876022339,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.8114181756973267},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.7259847521781921},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.5368877053260803},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.496674120426178},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4584202170372009},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4202512502670288},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09037187695503235}],"concepts":[{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.8114181756973267},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.7259847521781921},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.5368877053260803},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.496674120426178},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4584202170372009},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4202512502670288},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09037187695503235},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2008.4630407","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2008.4630407","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Conference on Fuzzy Systems (IEEE World Congress on Computational Intelligence)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W151379160","https://openalex.org/W654110765","https://openalex.org/W1564759251","https://openalex.org/W1578430072","https://openalex.org/W1971799954","https://openalex.org/W1974720515","https://openalex.org/W1997679081","https://openalex.org/W2000010830","https://openalex.org/W2000906029","https://openalex.org/W2030319566","https://openalex.org/W2046911477","https://openalex.org/W2051783828","https://openalex.org/W2054850423","https://openalex.org/W2076426500","https://openalex.org/W2145705229","https://openalex.org/W2497778231","https://openalex.org/W2970403200","https://openalex.org/W4240195958"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W2566241227"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,22],"shall":[4,23,31],"study":[5],"convergences":[6,40],"of":[7,26,39,41,49,56],"set-valued":[8,19,27,42,50],"stochastic":[9,28,43],"series.":[10,29],"After":[11],"reviewing":[12],"necessary":[13,37],"concepts":[14],"and":[15,36,45],"basic":[16],"results":[17],"about":[18],"random":[20,51],"variables,":[21],"introduce":[24],"definitions":[25],"We":[30],"mainly":[32],"give":[33],"the":[34,54],"sufficient":[35],"conditions":[38],"series,":[44],"prove":[46],"three-series":[47],"theorems":[48],"variables":[52],"in":[53],"senses":[55],"two":[57],"different":[58],"metrics.":[59]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}