{"id":"https://openalex.org/W2078173185","doi":"https://doi.org/10.1109/icmlc.2014.7009089","title":"A new kind of fuzzy martingale","display_name":"A new kind of fuzzy martingale","publication_year":2014,"publication_date":"2014-07-01","ids":{"openalex":"https://openalex.org/W2078173185","doi":"https://doi.org/10.1109/icmlc.2014.7009089","mag":"2078173185"},"language":"en","primary_location":{"id":"doi:10.1109/icmlc.2014.7009089","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmlc.2014.7009089","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 International Conference on Machine Learning and Cybernetics","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/A5088538223","display_name":"Cuilian You","orcid":"https://orcid.org/0000-0002-9855-7370"},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cui-Lian You","raw_affiliation_strings":["College of Mathematics and Computer Science, Hebei University, Baoding, China","College of Mathematics and Computer Science  Hebei University  Baoding 071002  China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Hebei University, Baoding, China","institution_ids":["https://openalex.org/I43337087"]},{"raw_affiliation_string":"College of Mathematics and Computer Science  Hebei University  Baoding 071002  China","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083628137","display_name":"Xiaoyan Jiao","orcid":"https://orcid.org/0000-0002-4429-9732"},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Yan Jiao","raw_affiliation_strings":["College of Mathematics and Computer Science, Hebei University, Baoding, China","College of Mathematics and Computer Science  Hebei University  Baoding 071002  China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Hebei University, Baoding, China","institution_ids":["https://openalex.org/I43337087"]},{"raw_affiliation_string":"College of Mathematics and Computer Science  Hebei University  Baoding 071002  China","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112544071","display_name":"Xiangyi Li","orcid":"https://orcid.org/0000-0001-8662-0865"},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiang-Yi Li","raw_affiliation_strings":["College of Mathematics and Computer Science, Hebei University, Baoding, China","College of Mathematics and Computer Science  Hebei University  Baoding 071002  China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Hebei University, Baoding, China","institution_ids":["https://openalex.org/I43337087"]},{"raw_affiliation_string":"College of Mathematics and Computer Science  Hebei University  Baoding 071002  China","institution_ids":["https://openalex.org/I43337087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I43337087"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12060115,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":null,"first_page":"41","last_page":"45"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9962999820709229,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9775999784469604,"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/martingale","display_name":"Martingale (probability theory)","score":0.8322434425354004},{"id":"https://openalex.org/keywords/doobs-martingale-inequality","display_name":"Doob's martingale inequality","score":0.6752041578292847},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5784458518028259},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5554841756820679},{"id":"https://openalex.org/keywords/martingale-pricing","display_name":"Martingale pricing","score":0.5374605655670166},{"id":"https://openalex.org/keywords/credibility","display_name":"Credibility","score":0.5337273478507996},{"id":"https://openalex.org/keywords/local-martingale","display_name":"Local martingale","score":0.516715943813324},{"id":"https://openalex.org/keywords/martingale-difference-sequence","display_name":"Martingale difference sequence","score":0.44304358959198},{"id":"https://openalex.org/keywords/credibility-theory","display_name":"Credibility theory","score":0.41476622223854065},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4080777168273926},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3601958155632019},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3449145555496216},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.33035263419151306},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1821824312210083}],"concepts":[{"id":"https://openalex.org/C48406656","wikidata":"https://www.wikidata.org/wiki/Q534112","display_name":"Martingale (probability theory)","level":2,"score":0.8322434425354004},{"id":"https://openalex.org/C185637853","wikidata":"https://www.wikidata.org/wiki/Q1242402","display_name":"Doob's martingale inequality","level":4,"score":0.6752041578292847},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5784458518028259},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5554841756820679},{"id":"https://openalex.org/C76374431","wikidata":"https://www.wikidata.org/wiki/Q6777132","display_name":"Martingale pricing","level":4,"score":0.5374605655670166},{"id":"https://openalex.org/C2780224610","wikidata":"https://www.wikidata.org/wiki/Q1530061","display_name":"Credibility","level":2,"score":0.5337273478507996},{"id":"https://openalex.org/C58435881","wikidata":"https://www.wikidata.org/wiki/Q1868500","display_name":"Local martingale","level":3,"score":0.516715943813324},{"id":"https://openalex.org/C30268764","wikidata":"https://www.wikidata.org/wiki/Q3707378","display_name":"Martingale difference sequence","level":3,"score":0.44304358959198},{"id":"https://openalex.org/C44211194","wikidata":"https://www.wikidata.org/wiki/Q3526803","display_name":"Credibility theory","level":3,"score":0.41476622223854065},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4080777168273926},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3601958155632019},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3449145555496216},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.33035263419151306},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1821824312210083},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icmlc.2014.7009089","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmlc.2014.7009089","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 International Conference on Machine Learning and Cybernetics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.49000000953674316}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W323776789","https://openalex.org/W1979163195","https://openalex.org/W1987811848","https://openalex.org/W1995604417","https://openalex.org/W2008088505","https://openalex.org/W2019950953","https://openalex.org/W2029703282","https://openalex.org/W2087018611","https://openalex.org/W2128530362","https://openalex.org/W2148880811","https://openalex.org/W2166916407","https://openalex.org/W2615737084","https://openalex.org/W2798324638","https://openalex.org/W2912189486","https://openalex.org/W2912565176","https://openalex.org/W3143971390","https://openalex.org/W4211007335","https://openalex.org/W4214637188","https://openalex.org/W4230588984","https://openalex.org/W4234521054","https://openalex.org/W4249936906","https://openalex.org/W6611067835"],"related_works":["https://openalex.org/W1978561097","https://openalex.org/W2158879245","https://openalex.org/W3123844941","https://openalex.org/W2996215962","https://openalex.org/W2358946586","https://openalex.org/W2040425860","https://openalex.org/W2335487262","https://openalex.org/W2013937202","https://openalex.org/W3123900559","https://openalex.org/W3126058886"],"abstract_inverted_index":{"The":[0],"stochastic":[1,12],"martingale":[2,21,43],"is":[3],"an":[4],"important":[5],"tool":[6],"to":[7],"study":[8],"probability":[9],"theory":[10],"and":[11,26,39],"processes,":[13],"we":[14],"propose":[15],"a":[16],"new":[17],"definition":[18],"of":[19,41],"fuzzy":[20,31,42],"by":[22],"using":[23],"conditional":[24,27],"credibility":[25],"expected":[28],"value":[29],"for":[30],"variables":[32],"in":[33],"this":[34],"paper.":[35],"Some":[36],"useful":[37],"properties":[38],"theorems":[40],"are":[44],"also":[45],"deduced.":[46]},"counts_by_year":[],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}