{"id":"https://openalex.org/W2009323802","doi":"https://doi.org/10.1016/s0165-0114(02)00145-8","title":"A convergence theorem of fuzzy-valued martingales in the extended Hausdorff metric","display_name":"A convergence theorem of fuzzy-valued martingales in the extended Hausdorff metric","publication_year":2003,"publication_date":"2003-04-04","ids":{"openalex":"https://openalex.org/W2009323802","doi":"https://doi.org/10.1016/s0165-0114(02)00145-8","mag":"2009323802"},"language":"en","primary_location":{"id":"doi:10.1016/s0165-0114(02)00145-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(02)00145-8","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and Systems","raw_type":"journal-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/A5060571396","display_name":"Shoumei Li","orcid":null},"institutions":[{"id":"https://openalex.org/I4210152042","display_name":"Beijing Polytechnic","ror":"https://ror.org/03xgzn792","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210152042"]},{"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":"Shoumei Li","raw_affiliation_strings":["Department of Applied Mathematics, Beijing Polytechnic University, 100 Ping Le Yuan, Chao Yang District, Beijing, 100022, People's Republic of China","Department of Applied Mathematics, Beijing Polytechnic University, 100 Ping Le Yuan, Chao Yang District, Beijing, 100022, People's Republic of China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Beijing Polytechnic University, 100 Ping Le Yuan, Chao Yang District, Beijing, 100022, People's Republic of China","institution_ids":["https://openalex.org/I4210152042","https://openalex.org/I37796252"]},{"raw_affiliation_string":"Department of Applied Mathematics, Beijing Polytechnic University, 100 Ping Le Yuan, Chao Yang District, Beijing, 100022, People's Republic of China#TAB#","institution_ids":["https://openalex.org/I4210152042","https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109420511","display_name":"Yukio Ogura","orcid":null},"institutions":[{"id":"https://openalex.org/I177136067","display_name":"Saga University","ror":"https://ror.org/04f4wg107","country_code":"JP","type":"education","lineage":["https://openalex.org/I177136067"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yukio Ogura","raw_affiliation_strings":["Department of Mathematics, Saga University, 1 Honjo-Machi, Saga, 840-8502, Japan","Department of Mathematics, Saga University, 1 Honjo-Machi, Saga 840-8502, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Saga University, 1 Honjo-Machi, Saga, 840-8502, Japan","institution_ids":["https://openalex.org/I177136067"]},{"raw_affiliation_string":"Department of Mathematics, Saga University, 1 Honjo-Machi, Saga 840-8502, Japan","institution_ids":["https://openalex.org/I177136067"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060571396"],"corresponding_institution_ids":["https://openalex.org/I37796252","https://openalex.org/I4210152042"],"apc_list":{"value":2600,"currency":"USD","value_usd":2600},"apc_paid":null,"fwci":3.3152,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.92783887,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"135","issue":"3","first_page":"391","last_page":"399"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"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":1.0,"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":0.9824000000953674,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9776999950408936,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9173771142959595},{"id":"https://openalex.org/keywords/urysohn-and-completely-hausdorff-spaces","display_name":"Urysohn and completely Hausdorff spaces","score":0.6646455526351929},{"id":"https://openalex.org/keywords/hausdorff-distance","display_name":"Hausdorff distance","score":0.6573193073272705},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.5650582909584045},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5368289351463318},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5130511522293091},{"id":"https://openalex.org/keywords/hausdorff-space","display_name":"Hausdorff space","score":0.5047162771224976},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.42333465814590454},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.416745662689209},{"id":"https://openalex.org/keywords/hausdorff-measure","display_name":"Hausdorff measure","score":0.3591744601726532},{"id":"https://openalex.org/keywords/hausdorff-dimension","display_name":"Hausdorff dimension","score":0.3052825331687927},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1546137034893036},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.058072060346603394}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9173771142959595},{"id":"https://openalex.org/C84496893","wikidata":"https://www.wikidata.org/wiki/Q1135782","display_name":"Urysohn and completely Hausdorff spaces","level":4,"score":0.6646455526351929},{"id":"https://openalex.org/C141898687","wikidata":"https://www.wikidata.org/wiki/Q1501997","display_name":"Hausdorff distance","level":2,"score":0.6573193073272705},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.5650582909584045},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5368289351463318},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5130511522293091},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.5047162771224976},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.42333465814590454},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.416745662689209},{"id":"https://openalex.org/C73225184","wikidata":"https://www.wikidata.org/wiki/Q1591095","display_name":"Hausdorff measure","level":3,"score":0.3591744601726532},{"id":"https://openalex.org/C194198291","wikidata":"https://www.wikidata.org/wiki/Q565186","display_name":"Hausdorff dimension","level":2,"score":0.3052825331687927},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1546137034893036},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.058072060346603394},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0165-0114(02)00145-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(02)00145-8","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.5799999833106995}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W370143576","https://openalex.org/W613549528","https://openalex.org/W996404426","https://openalex.org/W1500655567","https://openalex.org/W1555118210","https://openalex.org/W1564759251","https://openalex.org/W1971799954","https://openalex.org/W1977914365","https://openalex.org/W1995604417","https://openalex.org/W2000010830","https://openalex.org/W2000906029","https://openalex.org/W2002045806","https://openalex.org/W2006127887","https://openalex.org/W2009062909","https://openalex.org/W2021244475","https://openalex.org/W2025912018","https://openalex.org/W2040002591","https://openalex.org/W2046911477","https://openalex.org/W2050419975","https://openalex.org/W2051783828","https://openalex.org/W2059026962","https://openalex.org/W2072037153","https://openalex.org/W2145705229","https://openalex.org/W2157387599","https://openalex.org/W2492907447","https://openalex.org/W4246362589","https://openalex.org/W4285719527","https://openalex.org/W6625946885","https://openalex.org/W6629707337","https://openalex.org/W6650408517"],"related_works":["https://openalex.org/W2379390434","https://openalex.org/W2368976343","https://openalex.org/W2370474301","https://openalex.org/W4294437888","https://openalex.org/W2372633393","https://openalex.org/W2082926248","https://openalex.org/W2490938183","https://openalex.org/W2027427655","https://openalex.org/W2397516911","https://openalex.org/W2140982806"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
